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----
 4D
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This page is available sorted by point-group symmetry (below)
or by complexity (only including starry cases for quasiregular linear diagrams)
or by similarity.

Terse Overview

Indepted to the mere quantity of cases the following overview table links to additional pages too; only parts are listed in details below.

Linear Dynkin Graphs Tridental Dynkin Graphs Loop-n-Tail Dynkin Graphs Loop Dynkin Graphs Two-Loop Dynkin Graphs Simplical Dynkin Graphs Others 



  o-P-o-Q-o-R-o  




o-P-o-Q-o *b-R-o  =

  o_
     -P_
         >o---R---o  
     _Q-
  o-

o-P-o-Q-o-R-o-S-*b  =

  o_
  |  -Q_
  R      >o---P---o
  |  _S-
  o-

o-P-o-Q-o-R-o-S-*a  =

  o---P---o
  |       |
  S       Q
  |       |
  o---R---o

o-P-o-Q-o-R-o-S-*a-T-*c  =

         _o_
     _P-  |  -S_
  o<      T      >o
     -Q_  |  _R-
         -o-

o-P-o-Q-o-R-o-S-*a-T-*c  *b-U-*d  =

        o
      / T \
     P _o_ S
   /_Q     R_\
  o-----U-----o

In the following symmetry listings "etc." means replacments according to 3 ↔ 3/2, to 4 ↔ 4/3, to 5 ↔ 5/4, or to 5/2 ↔ 5/3.

Polychora with Grünbaumian elements so far are not investigated any further. Those are Grünbaumian a priori, usually because of some subgraph -x-n/d-x-, where d is even. Others, which come out as being Grünbaumian a posteriori will be given none the less.

*) not even a scaliform representation does exist, just occures as pure faceting
**) not uniform, but at least scaliform


loop-n-tail ones 
o-P-o-Q-o-R-o-S-*b   =

  o_
  |  -Q_
  R      >o---P---o
  |  _S-
  o-

Pentachoral ("pentic") Symmetries   (up)

  o3o3o3/2o3*b (µ=2) o3o3o3o3/2*b (µ=3) o3/2o3o3o3/2*b (µ=7)
quasiregulars 
x3o3o3/2o3*b - 2pen
   (contains "2tet" as verf)
o3x3o3/2o3*b - (contains "2tet")
o3o3x3/2o3*b - (contains "2tet")

x3o3o3o3/2*b - 2pen
   (contains "2tet" as verf)
o3x3o3o3/2*b - (contains "2tet")
o3o3x3o3/2*b - (contains "2tet")
o3o3o3x3/2*b - (contains "2tet")

x3/2o3o3o3/2*b - 2pen
   (contains "2tet" as verf)
o3/2x3o3o3/2*b - (contains "2tet")
o3/2o3x3o3/2*b - (contains "2tet")
o3/2o3o3x3/2*b - (contains "2tet")
other
Wythoffians 
x3x3o3/2o3*b - (contains "2tet")
x3o3x3/2o3*b - (contains "2tet")
o3x3x3/2o3*b - rawvtip
o3o3x3/2x3*b - [Grünbaumian]
x3x3x3/2o3*b - pittip
x3o3x3/2x3*b - [Grünbaumian]
o3x3x3/2x3*b - [Grünbaumian]
x3x3x3/2x3*b - [Grünbaumian]

x3x3o3o3/2*b - (contains "2tet")
x3o3x3o3/2*b - piphid+10tet
   (contains "2tet")
x3o3o3x3/2*b - (contains "2tet")
o3x3x3o3/2*b - rawvtip
o3x3o3x3/2*b - [Grünbaumian]
o3o3x3x3/2*b - duhd
x3x3x3o3/2*b - pittip
x3x3o3x3/2*b - [Grünbaumian]
x3o3x3x3/2*b - (contains "2thah")
o3x3x3x3/2*b - [Grünbaumian]
x3x3x3x3/2*b - [Grünbaumian]

x3/2x3o3o3/2*b - [Grünbaumian]
x3/2o3x3o3/2*b - (contains "2tet")
x3/2o3o3x3/2*b - (contains "2tet")
o3/2x3x3o3/2*b - rawvtip
o3/2x3o3x3/2*b - [Grünbaumian]
o3/2o3x3x3/2*b - duhd
x3/2x3x3o3/2*b - [Grünbaumian]
x3/2x3o3x3/2*b - [Grünbaumian]
x3/2o3x3x3/2*b - (contains "2thah")
o3/2x3x3x3/2*b - [Grünbaumian]
x3/2x3x3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o3/2o3o3/2o3*b (µ=8) o3o3/2o3/2o3/2*b (µ=12) o3/2o3/2o3/2o3/2*b (µ=18)
quasiregulars 
x3/2o3o3/2o3*b - 2pen
   (contains "2tet" as verf)
o3/2x3o3/2o3*b - (contains "2tet")
o3/2o3x3/2o3*b - (contains "2tet")

x3o3/2o3/2o3/2*b - 2pen
   (contains "2tet" as verf)
o3x3/2o3/2o3/2*b - (contains "2tet")
o3o3/2x3/2o3/2*b - (contains "2tet")

x3/2o3/2o3/2o3/2*b - 2pen
   (contains "2tet" as verf)
o3/2x3/2o3/2o3/2*b - (contains "2tet")
o3/2o3/2x3/2o3/2*b - (contains "2tet")
other
Wythoffians 
x3/2x3o3/2o3*b - [Grünbaumian]
x3/2o3x3/2o3*b - (contains "2tet")
o3/2x3x3/2o3*b - rawvtip
o3/2o3x3/2x3*b - [Grünbaumian]
x3/2x3x3/2o3*b - [Grünbaumian]
x3/2o3x3/2x3*b - [Grünbaumian]
o3/2x3x3/2x3*b - [Grünbaumian]
x3/2x3x3/2x3*b - [Grünbaumian]

x3x3/2o3/2o3/2*b - (contains "2tet")
x3o3/2x3/2o3/2*b - (contains "2tet")
o3x3/2x3/2o3/2*b - [Grünbaumian]
o3o3/2x3/2x3/2*b - [Grünbaumian]
x3x3/2x3/2o3/2*b - [Grünbaumian]
x3o3/2x3/2x3/2*b - [Grünbaumian]
o3x3/2x3/2x3/2*b - [Grünbaumian]
x3x3/2x3/2x3/2*b - [Grünbaumian]

x3/2x3/2o3/2o3/2*b - [Grünbaumian]
x3/2o3/2x3/2o3/2*b - (contains "2tet")
o3/2x3/2x3/2o3/2*b - [Grünbaumian]
o3/2o3/2x3/2x3/2*b - [Grünbaumian]
x3/2x3/2x3/2o3/2*b - [Grünbaumian]
x3/2o3/2x3/2x3/2*b - [Grünbaumian]
o3/2x3/2x3/2x3/2*b - [Grünbaumian]
x3/2x3/2x3/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Tesseractic ("tessic") Symmetries – type o3o3/2o4o4*b   (up)

  o3o3/2o4o4*b (µ=3) o3o3o4/3o4*b (µ=5) o3o3o4o4/3*b (µ=11) o3/2o3/2o4o4*b (µ=13)
quasiregulars 
x3o3/2o4o4*b - hex+8oct
   (contains "oct+6{4}" as verf)
o3x3/2o4o4*b - (contains "oct+6{4}")
o3o3/2x4o4*b - (contains "oct+6{4}")
o3o3/2o4x4*b - (contains "2cube")

x3o3o4/3o4*b - hex+8oct
   (contains "oct+6{4}" as verf)
o3x3o4/3o4*b - (contains "oct+6{4}")
o3o3x4/3o4*b - (contains "oct+6{4}")
o3o3o4/3x4*b - (contains "2cube")

x3o3o4o4/3*b - hex+8oct
   (contains "oct+6{4}" as verf)
o3x3o4o4/3*b - (contains "oct+6{4}")
o3o3x4o4/3*b - (contains "oct+6{4}")
o3o3o4x4/3*b - (contains "2cube")

x3/2o3/2o4o4*b - hex+8oct
   (contains "oct+6{4}" as verf)
o3/2x3/2o4o4*b - (contains "oct+6{4}")
o3/2o3/2x4o4*b - (contains "oct+6{4}")
o3/2o3/2o4x4*b - (contains "2cube")
other
Wythoffians 
x3x3/2o4o4*b - (contains "oct+6{4}")
x3o3/2x4o4*b - (contains "oct+6{4}")
x3o3/2o4x4*b - (contains "2cube")
o3x3/2x4o4*b - [Grünbaumian]
o3x3/2o4x4*b - rawvatoth
o3o3/2x4x4*b - steth
x3x3/2x4o4*b - [Grünbaumian]
x3x3/2o4x4*b - sichado
x3o3/2x4x4*b - 
o3x3/2x4x4*b - [Grünbaumian]
x3x3/2x4x4*b - [Grünbaumian]

x3x3o4/3o4*b - (contains "oct+6{4}")
x3o3x4/3o4*b - (contains "oct+6{4}")
x3o3o4/3x4*b - (contains "2cube")
o3x3x4/3o4*b - (contains "2cho")
o3x3o4/3x4*b - rawvatoth
o3o3x4/3x4*b - gittith
x3x3x4/3o4*b - (contains "2cho")
x3x3o4/3x4*b - sichado
x3o3x4/3x4*b - skiviphado
o3x3x4/3x4*b - thatoth
x3x3x4/3x4*b - thatpath

x3x3o4o4/3*b - (contains "oct+6{4}")
x3o3x4o4/3*b - (contains "oct+6{4}")
x3o3o4x4/3*b - (contains "2cube")
o3x3x4o4/3*b - (contains "2cho")
o3x3o4x4/3*b - wavitoth
o3o3x4x4/3*b - steth
x3x3x4o4/3*b - (contains "2cho")
x3x3o4x4/3*b - gichado
x3o3x4x4/3*b - gikviphado
o3x3x4x4/3*b - thaquitoth
x3x3x4x4/3*b - thaquitpath

x3/2x3/2o4o4*b - [Grünbaumian]
x3/2o3/2x4o4*b - (contains "oct+6{4}")
x3/2o3/2o4x4*b - (contains "2cube")
o3/2x3/2x4o4*b - [Grünbaumian]
o3/2x3/2o4x4*b - rawvatoth
o3/2o3/2x4x4*b - steth
x3/2x3/2x4o4*b - [Grünbaumian]
x3/2x3/2o4x4*b - [Grünbaumian]
x3/2o3/2x4x4*b - gikviphado
o3/2x3/2x4x4*b - [Grünbaumian]
x3/2x3/2x4x4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o3/2o3o4o4/3*b (µ=21) o3/2o3o4/3o4*b (µ=27) o3o3/2o4/3o4/3*b (µ=45) o3/2o3/2o4/3o4/3*b (µ=67)
quasiregulars 
x3/2o3o4o4/3*b - hex+8oct
   (contains "oct+6{4}" as verf)
o3/2x3o4o4/3*b - (contains "oct+6{4}")
o3/2o3x4o4/3*b - (contains "oct+6{4}")
o3/2o3o4x4/3*b - (contains "2cube")

x3/2o3o4/3o4*b - hex+8oct
   (contains "oct+6{4}" as verf)
o3/2x3o4/3o4*b - (contains "oct+6{4}")
o3/2o3x4/3o4*b - (contains "oct+6{4}")
o3/2o3o4/3x4*b - (contains "2cube")

x3o3/2o4/3o4/3*b - hex+8oct
   (contains "oct+6{4}" as verf)
o3x3/2o4/3o4/3*b - (contains "oct+6{4}")
o3o3/2x4/3o4/3*b - (contains "oct+6{4}")
o3o3/2o4/3x4/3*b - (contains "2cube")

x3/2o3/2o4/3o4/3*b - hex+8oct
   (contains "oct+6{4}" as verf)
o3/2x3/2o4/3o4/3*b - (contains "oct+6{4}")
o3/2o3/2x4/3o4/3*b - (contains "oct+6{4}")
o3/2o3/2o4/3x4/3*b - (contains "2cube")
other
Wythoffians 
x3/2x3o4o4/3*b - [Grünbaumian]
x3/2o3x4o4/3*b - (contains "oct+6{4}")
x3/2o3o4x4/3*b - (contains "2cube")
o3/2x3x4o4/3*b - (contains "2cho")
o3/2x3o4x4/3*b - wavitoth
o3/2o3x4x4/3*b - steth
x3/2x3x4o4/3*b - [Grünbaumian]
x3/2x3o4x4/3*b - [Grünbaumian]
x3/2o3x4x4/3*b - (contains "2thah")
o3/2x3x4x4/3*b - thaquitoth
x3/2x3x4x4/3*b - [Grünbaumian]

x3/2x3o4/3o4*b - [Grünbaumian]
x3/2o3x4/3o4*b - (contains "oct+6{4}")
x3/2o3o4/3x4*b - (contains "2cube")
o3/2x3x4/3o4*b - (contains "2cho")
o3/2x3o4/3x4*b - rawvatoth
o3/2o3x4/3x4*b - gittith
x3/2x3x4/3o4*b - [Grünbaumian]
x3/2x3o4/3x4*b - [Grünbaumian]
x3/2o3x4/3x4*b - (contains "2thah")
o3/2x3x4/3x4*b - thatoth
x3/2x3x4/3x4*b - [Grünbaumian]

x3x3/2o4/3o4/3*b - (contains "oct+6{4}")
x3o3/2x4/3o4/3*b - (contains "oct+6{4}")
x3o3/2o4/3x4/3*b - (contains "2cube")
o3x3/2x4/3o4/3*b - [Grünbaumian]
o3x3/2o4/3x4/3*b - wavitoth
o3o3/2x4/3x4/3*b - gittith
x3x3/2x4/3o4/3*b - [Grünbaumian]
x3x3/2o4/3x4/3*b - gichado
x3o3/2x4/3x4/3*b - (contains "2thah")
o3x3/2x4/3x4/3*b - [Grünbaumian]
x3x3/2x4/3x4/3*b - [Grünbaumian]

x3/2x3/2o4/3o4/3*b - [Grünbaumian]
x3/2o3/2x4/3o4/3*b - (contains "oct+6{4}")
x3/2o3/2o4/3x4/3*b - (contains "2cube")
o3/2x3/2x4/3o4/3*b - [Grünbaumian]
o3/2x3/2o4/3x4/3*b - wavitoth
o3/2o3/2x4/3x4/3*b - gittith
x3/2x3/2x4/3o4/3*b - [Grünbaumian]
x3/2x3/2o4/3x4/3*b - [Grünbaumian]
x3/2o3/2x4/3x4/3*b - skiviphado
o3/2x3/2x4/3x4/3*b - [Grünbaumian]
x3/2x3/2x4/3x4/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Tesseractic ("tessic") Symmetries – type o4o3o3/2o3*b   (up)

  o4o3o3/2o3*b (µ=2) o4o3o3o3/2*b (µ=6) o4/3o3o3o3/2*b (µ=26)
quasiregulars 
x4o3o3/2o3*b - 2tes
   (contains q-"2tet" as verf)
o4x3o3/2o3*b - (contains "2tet")
o4o3x3/2o3*b - (contains "2tet")

x4o3o3o3/2*b - 2tes
   (contains q-"2tet" as verf)
o4x3o3o3/2*b - (contains "2tet")
o4o3x3o3/2*b - (contains "2tet")
o4o3o3x3/2*b - (contains "2tet")

x4/3o3o3o3/2*b - 2tes
   (contains q-"2tet" as verf)
o4/3x3o3o3/2*b - (contains "2tet")
o4/3o3x3o3/2*b - (contains "2tet")
o4/3o3o3x3/2*b - (contains "2tet")
other
Wythoffians 
x4x3o3/2o3*b - (contains "2tet")
x4o3x3/2o3*b - (contains "2tet")
o4x3x3/2o3*b - rawvhitto
o4o3x3/2x3*b - [Grünbaumian]
x4x3x3/2o3*b - siphado
x4o3x3/2x3*b - [Grünbaumian]
o4x3x3/2x3*b - [Grünbaumian]
x4x3x3/2x3*b - [Grünbaumian]

x4x3o3o3/2*b - (contains "2tet")
x4o3x3o3/2*b - (contains "2tet")
x4o3o3x3/2*b - (contains "2tet")
o4x3x3o3/2*b - rawvhitto
o4x3o3x3/2*b - [Grünbaumian]
o4o3x3x3/2*b - 2oh
x4x3x3o3/2*b - siphado
x4x3o3x3/2*b - [Grünbaumian]
x4o3x3x3/2*b - kaviphdit
o4x3x3x3/2*b - [Grünbaumian]
x4x3x3x3/2*b - [Grünbaumian]

x4/3x3o3o3/2*b - (contains "2tet")
x4/3o3x3o3/2*b - (contains "2tet")
x4/3o3o3x3/2*b - (contains "2tet")
o4/3x3x3o3/2*b - rawvhitto
o4/3x3o3x3/2*b - [Grünbaumian]
o4/3o3x3x3/2*b - 2oh
x4/3x3x3o3/2*b - giphado
x4/3x3o3x3/2*b - [Grünbaumian]
x4/3o3x3x3/2*b - kaviphdit
o4/3x3x3x3/2*b - [Grünbaumian]
x4/3x3x3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o4/3o3o3/2o3*b (µ=30) o4o3/2o3/2o3/2*b (µ=34) o4/3o3/2o3/2o3/2*b (µ=62)
quasiregulars 
x4/3o3o3/2o3*b - 2tes
   (contains q-"2tet" as verf)
o4/3x3o3/2o3*b - (contains "2tet")
o4/3o3x3/2o3*b - (contains "2tet")

x4o3/2o3/2o3/2*b - 2tes
   (contains q-"2tet" as verf)
o4x3/2o3/2o3/2*b - (contains "2tet")
o4o3/2x3/2o3/2*b - (contains "2tet")

x4/3o3/2o3/2o3/2*b - 2tes
   (contains q-"2tet" as verf)
o4/3x3/2o3/2o3/2*b - (contains "2tet")
o4/3o3/2x3/2o3/2*b - (contains "2tet")
other
Wythoffians 
x4/3x3o3/2o3*b - (contains "2tet")
x4/3o3x3/2o3*b - (contains "2tet")
o4/3x3x3/2o3*b - rawvhitto
o4/3o3x3/2x3*b - [Grünbaumian]
x4/3x3x3/2o3*b - giphado
x4/3o3x3/2x3*b - [Grünbaumian]
o4/3x3x3/2x3*b - [Grünbaumian]
x4/3x3x3/2x3*b - [Grünbaumian]

x4x3/2o3/2o3/2*b - (contains "2tet")
x4o3/2x3/2o3/2*b - (contains "2tet")
o4x3/2x3/2o3/2*b - [Grünbaumian]
o4o3/2x3/2x3/2*b - [Grünbaumian]
x4x3/2x3/2o3/2*b - [Grünbaumian]
x4o3/2x3/2x3/2*b - [Grünbaumian]
o4x3/2x3/2x3/2*b - [Grünbaumian]
x4x3/2x3/2x3/2*b - [Grünbaumian]

x4/3x3/2o3/2o3/2*b - (contains "2tet")
x4/3o3/2x3/2o3/2*b - (contains "2tet")
o4/3x3/2x3/2o3/2*b - [Grünbaumian]
o4/3o3/2x3/2x3/2*b - [Grünbaumian]
x4/3x3/2x3/2o3/2*b - [Grünbaumian]
x4/3o3/2x3/2x3/2*b - [Grünbaumian]
o4/3x3/2x3/2x3/2*b - [Grünbaumian]
x4/3x3/2x3/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Icositetrachoral ("icoic") Symmetries   (up)

  o3o4o3/2o4*b (µ=2) o3o4o3o4/3*b (µ=22) o3/2o4o3/2o4*b (µ=46)
quasiregulars 
x3o4o3/2o4*b - 2ico
   (contains "2cube" as verf)
o3x4o3/2o4*b - (contains "2cube")
o3o4x3/2o4*b - (contains "oct+6{4}")

x3o4o3o4/3*b - 2ico
   (contains "2cube" as verf)
o3x4o3o4/3*b - (contains "2cube")
o3o4x3o4/3*b - (contains "oct+6{4}")
o3o4o3x4/3*b - (contains "oct+6{4}")

x3/2o4o3/2o4*b - 2ico
   (contains "2cube" as verf)
o3/2x4o3/2o4*b - (contains "2cube")
o3/2o4x3/2o4*b - (contains "oct+6{4}")
other
Wythoffians 
x3x4o3/2o4*b - (contains "2cube")
x3o4x3/2o4*b - (contains "oct+6{4}")
o3x4x3/2o4*b - rawvaty
o3o4x3/2x4*b - [Grünbaumian]
x3x4x3/2o4*b - sipti
x3o4x3/2x4*b - [Grünbaumian]
o3x4x3/2x4*b - [Grünbaumian]
x3x4x3/2x4*b - [Grünbaumian]

x3x4o3o4/3*b - (contains "2cube")
x3o4x3o4/3*b - (contains "oct+6{4}")
x3o4o3x4/3*b - (contains "oct+6{4}")
o3x4x3o4/3*b - rawvaty
o3x4o3x4/3*b - wavaty
o3o4x3x4/3*b - (contains "2cho")
x3x4x3o4/3*b - sipti
x3x4o3x4/3*b - gipti
x3o4x3x4/3*b - (contains "2cho")
o3x4x3x4/3*b - iquatoc
x3x4x3x4/3*b - iquatpic

x3/2x4o3/2o4*b - [Grünbaumian]
x3/2o4x3/2o4*b - (contains "oct+6{4}")
o3/2x4x3/2o4*b - rawvaty
o3/2o4x3/2x4*b - [Grünbaumian]
x3/2x4x3/2o4*b - [Grünbaumian]
x3/2o4x3/2x4*b - [Grünbaumian]
o3/2x4x3/2x4*b - [Grünbaumian]
x3/2x4x3/2x4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o3/2o4o3o4/3*b (µ=74) o3o4/3o3/2o4/3*b (µ=146) o3/2o4/3o3/2o4/3*b (µ=190)
quasiregulars 
x3/2o4o3o4/3*b - 2ico
   (contains "2cube" as verf)
o3/2x4o3o4/3*b - (contains "2cube")
o3/2o4x3o4/3*b - (contains "oct+6{4}")
o3/2o4o3x4/3*b - (contains "oct+6{4}")

x3o4/3o3/2o4/3*b - 2ico
   (contains "2cube" as verf)
o3x4/3o3/2o4/3*b - (contains "2cube")
o3o4/3x3/2o4/3*b - (contains "oct+6{4}")

x3/2o4/3o3/2o4/3*b - 2ico
   (contains "2cube" as verf)
o3/2x4/3o3/2o4/3*b - (contains "2cube")
o3/2o4/3x3/2o4/3*b - (contains "oct+6{4}")
other
Wythoffians 
x3/2x4o3o4/3*b - [Grünbaumian]
x3/2o4x3o4/3*b - (contains "oct+6{4}")
x3/2o4o3x4/3*b - (contains "oct+6{4}")
o3/2x4x3o4/3*b - rawvaty
o3/2x4o3x4/3*b - wavaty
o3/2o4x3x4/3*b - (contains "2cho")
x3/2x4x3o4/3*b - [Grünbaumian]
x3/2x4o3x4/3*b - [Grünbaumian]
x3/2o4x3x4/3*b - (contains "2cho")
o3/2x4x3x4/3*b - iquatoc
x3/2x4x3x4/3*b - [Grünbaumian]

x3x4/3o3/2o4/3*b - (contains "2cube")
x3o4/3x3/2o4/3*b - (contains "oct+6{4}")
o3x4/3x3/2o4/3*b - wavaty
o3o4/3x3/2x4/3*b - [Grünbaumian]
x3x4/3x3/2o4/3*b - gipti
x3o4/3x3/2x4/3*b - [Grünbaumian]
o3x4/3x3/2x4/3*b - [Grünbaumian]
x3x4/3x3/2x4/3*b - [Grünbaumian]

x3/2x4/3o3/2o4/3*b - [Grünbaumian]
x3/2o4/3x3/2o4/3*b - (contains "oct+6{4}")
o3/2x4/3x3/2o4/3*b - wavaty
o3/2o4/3x3/2x4/3*b - [Grünbaumian]
x3/2x4/3x3/2o4/3*b - [Grünbaumian]
x3/2o4/3x3/2x4/3*b - [Grünbaumian]
o3/2x4/3x3/2x4/3*b - [Grünbaumian]
x3/2x4/3x3/2x4/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o3/2o5*b   (up)

  o3o3o3/2o5*b (µ=39) o3o3/2o3o5*b (µ=81) o3o3o3o5/4*b (µ=561) o3/2o3/2o3o5*b (µ=639)
quasiregulars 
x3o3o3/2o5*b - gidtixhi
o3x3o3/2o5*b - riggidtixhi
o3o3x3/2o5*b - (contains "2gike")
o3o3o3/2x5*b - giddatady

x3o3/2o3o5*b - gidtixhi
o3x3/2o3o5*b - riggidtixhi
o3o3/2x3o5*b - (contains "2gike")
o3o3/2o3x5*b - giddatady

x3o3o3o5/4*b - gidtixhi
o3x3o3o5/4*b - riggidtixhi
o3o3x3o5/4*b - (contains "2gike")
o3o3o3x5/4*b - giddatady

x3/2o3/2o3o5*b - gidtixhi
o3/2x3/2o3o5*b - riggidtixhi
o3/2o3/2x3o5*b - (contains "2gike")
o3/2o3/2o3x5*b - giddatady
other
Wythoffians 
x3x3o3/2o5*b - tiggidtixhi
x3o3x3/2o5*b - (contains "2gike")
x3o3o3/2x5*b - sadtef pixady
o3x3x3/2o5*b - grawvixady
o3x3o3/2x5*b - (contains "2seihid")
o3o3x3/2x5*b - [Grünbaumian]
x3x3x3/2o5*b - giphixhi
x3x3o3/2x5*b - (contains "2seihid")
x3o3x3/2x5*b - [Grünbaumian]
o3x3x3/2x5*b - [Grünbaumian]
x3x3x3/2x5*b - [Grünbaumian]

x3x3/2o3o5*b - tiggidtixhi
x3o3/2x3o5*b - (contains "2gike")
x3o3/2o3x5*b - sadtef pixady
o3x3/2x3o5*b - [Grünbaumian]
o3x3/2o3x5*b - (contains "2seihid")
o3o3/2x3x5*b - gohihix
x3x3/2x3o5*b - [Grünbaumian]
x3x3/2o3x5*b - (contains "2seihid")
x3o3/2x3x5*b - (contains "2thah")
o3x3/2x3x5*b - [Grünbaumian]
x3x3/2x3x5*b - [Grünbaumian]

x3x3o3o5/4*b - tiggidtixhi
x3o3x3o5/4*b - (contains "2gike")
x3o3o3x5/4*b - (contains gicdatrid)
o3x3x3o5/4*b - grawvixady
o3x3o3x5/4*b - [Grünbaumian]
o3o3x3x5/4*b - gohihix
x3x3x3o5/4*b - giphixhi
x3x3o3x5/4*b - [Grünbaumian]
x3o3x3x5/4*b - (contains gicdatrid)
o3x3x3x5/4*b - [Grünbaumian]
x3x3x3x5/4*b - [Grünbaumian]

x3/2x3/2o3o5*b - [Grünbaumian]
x3/2o3/2x3o5*b - (contains "2gike")
x3/2o3/2o3x5*b - (contains gicdatrid)
o3/2x3/2x3o5*b - [Grünbaumian]
o3/2x3/2o3x5*b - (contains "2seihid")
o3/2o3/2x3x5*b - gohihix
x3/2x3/2x3o5*b - [Grünbaumian]
x3/2x3/2o3x5*b - [Grünbaumian]
x3/2o3/2x3x5*b - (contains gicdatrid)
o3/2x3/2x3x5*b - [Grünbaumian]
x3/2x3/2x3x5*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o3/2o3o3/2o5*b (µ=681) o3/2o3o3o5/4*b (µ=1119) o3o3/2o3/2o5/4*b (µ=1719) o3/2o3/2o3/2o5/4*b (µ=2361)
quasiregulars 
x3/2o3o3/2o5*b - gidtixhi
o3/2x3o3/2o5*b - riggidtixhi
o3/2o3x3/2o5*b - (contains "2gike")
o3/2o3o3/2x5*b - giddatady

x3/2o3o3o5/4*b - gidtixhi
o3/2x3o3o5/4*b - riggidtixhi
o3/2o3x3o5/4*b - (contains "2gike")
o3/2o3o3x5/4*b - giddatady

x3o3/2o3/2o5/4*b - gidtixhi
o3x3/2o3/2o5/4*b - riggidtixhi
o3o3/2x3/2o5/4*b - (contains "2gike")
o3o3/2o3/2x5/4*b - giddatady

x3/2o3/2o3/2o5/4*b - gidtixhi
o3/2x3/2o3/2o5/4*b - riggidtixhi
o3/2o3/2x3/2o5/4*b - (contains "2gike")
o3/2o3/2o3/2x5/4*b - giddatady
other
Wythoffians 
x3/2x3o3/2o5*b - [Grünbaumian]
x3/2o3x3/2o5*b - (contains "2gike")
x3/2o3o3/2x5*b - (contains gicdatrid)
o3/2x3x3/2o5*b - grawvixady
o3/2x3o3/2x5*b - (contains "2seihid")
o3/2o3x3/2x5*b - [Grünbaumian]
x3/2x3x3/2o5*b - [Grünbaumian]
x3/2x3o3/2x5*b - [Grünbaumian]
x3/2o3x3/2x5*b - [Grünbaumian]
o3/2x3x3/2x5*b - [Grünbaumian]
x3/2x3x3/2x5*b - [Grünbaumian]

x3/2x3o3o5/4*b - [Grünbaumian]
x3/2o3x3o5/4*b - (contains "2gike")
x3/2o3o3x5/4*b - sadtef pixady
o3/2x3x3o5/4*b - grawvixady
o3/2x3o3x5/4*b - [Grünbaumian]
o3/2o3x3x5/4*b - gohihix
x3/2x3x3o5/4*b - [Grünbaumian]
x3/2x3o3x5/4*b - [Grünbaumian]
x3/2o3x3x5/4*b - (contains "2thah")
o3/2x3x3x5/4*b - [Grünbaumian]
x3/2x3x3x5/4*b - [Grünbaumian]

x3x3/2o3/2o5/4*b - tiggidtixhi
x3o3/2x3/2o5/4*b - (contains "2gike")
x3o3/2o3/2x5/4*b - (contains gicdatrid)
o3x3/2x3/2o5/4*b - [Grünbaumian]
o3x3/2o3/2x5/4*b - [Grünbaumian]
o3o3/2x3/2x5/4*b - [Grünbaumian]
x3x3/2x3/2o5/4*b - [Grünbaumian]
x3x3/2o3/2x5/4*b - [Grünbaumian]
x3o3/2x3/2x5/4*b - [Grünbaumian]
o3x3/2x3/2x5/4*b - [Grünbaumian]
x3x3/2x3/2x5/4*b - [Grünbaumian]

x3/2x3/2o3/2o5/4*b - [Grünbaumian]
x3/2o3/2x3/2o5/4*b - (contains "2gike")
x3/2o3/2o3/2x5/4*b - sadtef pixady
o3/2x3/2x3/2o5/4*b - [Grünbaumian]
o3/2x3/2o3/2x5/4*b - [Grünbaumian]
o3/2o3/2x3/2x5/4*b - [Grünbaumian]
x3/2x3/2x3/2o5/4*b - [Grünbaumian]
x3/2x3/2o3/2x5/4*b - [Grünbaumian]
x3/2o3/2x3/2x5/4*b - [Grünbaumian]
o3/2x3/2x3/2x5/4*b - [Grünbaumian]
x3/2x3/2x3/2x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o3o5/2*b   (up)

  o3o3o3o5/2*b (µ=9) o3/2o3o3o5/2*b (µ=231) o3o3o3/2o5/3*b (µ=591) o3o3/2o3/2o5/2*b (µ=831)
quasiregulars 
x3o3o3o5/2*b - sidtixhi
o3x3o3o5/2*b - rissidtixhi
o3o3x3o5/2*b - (contains "2ike")
o3o3o3x5/2*b - dattady

x3/2o3o3o5/2*b - sidtixhi
o3/2x3o3o5/2*b - rissidtixhi
o3/2o3x3o5/2*b - (contains "2ike")
o3/2o3o3x5/2*b - dattady

x3o3o3/2o5/3*b - sidtixhi
o3x3o3/2o5/3*b - rissidtixhi
o3o3x3/2o5/3*b - (contains "2ike")
o3o3o3/2x5/3*b - dattady

x3o3/2o3/2o5/2*b - sidtixhi
o3x3/2o3/2o5/2*b - rissidtixhi
o3o3/2x3/2o5/2*b - (contains "2ike")
o3o3/2o3/2x5/2*b - dattady
other
Wythoffians 
x3x3o3o5/2*b - tissidtixhi
x3o3x3o5/2*b - (contains "2ike")
x3o3o3x5/2*b - (contains sicdatrid)
o3x3x3o5/2*b - swavixady
o3x3o3x5/2*b - [Grünbaumian]
o3o3x3x5/2*b - shihix
x3x3x3o5/2*b - sphixhi
x3x3o3x5/2*b - [Grünbaumian]
x3o3x3x5/2*b - (contains sicdatrid)
o3x3x3x5/2*b - [Grünbaumian]
x3x3x3x5/2*b - [Grünbaumian]

x3/2x3o3o5/2*b - [Grünbaumian]
x3/2o3x3o5/2*b - (contains "2ike")
x3/2o3o3x5/2*b - gadtef pixady
o3/2x3x3o5/2*b - swavixady
o3/2x3o3x5/2*b - [Grünbaumian]
o3/2o3x3x5/2*b - shihix
x3/2x3x3o5/2*b - [Grünbaumian]
x3/2x3o3x5/2*b - [Grünbaumian]
x3/2o3x3x5/2*b - (contains "2thah")
o3/2x3x3x5/2*b - [Grünbaumian]
x3/2x3x3x5/2*b - [Grünbaumian]

x3x3o3/2o5/3*b - tissidtixhi
x3o3x3/2o5/3*b - (contains "2ike")
x3o3o3/2x5/3*b - gadtef pixady
o3x3x3/2o5/3*b - swavixady
o3x3o3/2x5/3*b - (contains "2geihid")
o3o3x3/2x5/3*b - [Grünbaumian]
x3x3x3/2o5/3*b - sphixhi
x3x3o3/2x5/3*b - (contains "2geihid")
x3o3x3/2x5/3*b - [Grünbaumian]
o3x3x3/2x5/3*b - [Grünbaumian]
x3x3x3/2x5/3*b - [Grünbaumian]

x3x3/2o3/2o5/2*b - tissidtixhi
x3o3/2x3/2o5/2*b - (contains "2ike")
x3o3/2o3/2x5/2*b - (contains sicdatrid)
o3x3/2x3/2o5/2*b - [Grünbaumian]
o3x3/2o3/2x5/2*b - [Grünbaumian]
o3o3/2x3/2x5/2*b - [Grünbaumian]
x3x3/2x3/2o5/2*b - [Grünbaumian]
x3x3/2o3/2x5/2*b - [Grünbaumian]
x3o3/2x3/2x5/2*b - [Grünbaumian]
o3x3/2x3/2x5/2*b - [Grünbaumian]
x3x3/2x3/2x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o3o3/2o3o5/3*b (µ=969) o3/2o3/2o3o5/3*b (µ=1191) o3/2o3o3/2o5/3*b (µ=1569) o3/2o3/2o3/2o5/2*b (µ=1809)
quasiregulars 
x3o3/2o3o5/3*b - sidtixhi
o3x3/2o3o5/3*b - rissidtixhi
o3o3/2x3o5/3*b - (contains "2ike")
o3o3/2o3x5/3*b - dattady

x3/2o3/2o3o5/3*b - sidtixhi
o3/2x3/2o3o5/3*b - rissidtixhi
o3/2o3/2x3o5/3*b - (contains "2ike")
o3/2o3/2o3x5/3*b - dattady

x3/2o3o3/2o5/3*b - sidtixhi
o3/2x3o3/2o5/3*b - rissidtixhi
o3/2o3x3/2o5/3*b - (contains "2ike")
o3/2o3o3/2x5/3*b - dattady

x3/2o3/2o3/2o5/2*b - sidtixhi
o3/2x3/2o3/2o5/2*b - rissidtixhi
o3/2o3/2x3/2o5/2*b - (contains "2ike")
o3/2o3/2o3/2x5/2*b - dattady
other
Wythoffians 
x3x3/2o3o5/3*b - tissidtixhi
x3o3/2x3o5/3*b - (contains "2ike")
x3o3/2o3x5/3*b - gadtef pixady
o3x3/2x3o5/3*b - [Grünbaumian]
o3x3/2o3x5/3*b - (contains "2geihid")
o3o3/2x3x5/3*b - shihix
x3x3/2x3o5/3*b - [Grünbaumian]
x3x3/2o3x5/3*b - (contains "2geihid")
x3o3/2x3x5/3*b - (contains "2thah")
o3x3/2x3x5/3*b - [Grünbaumian]
x3x3/2x3x5/3*b - [Grünbaumian]

x3/2x3/2o3o5/3*b - [Grünbaumian]
x3/2o3/2x3o5/3*b - (contains "2ike")
x3/2o3/2o3x5/3*b - (contains sicdatrid)
o3/2x3/2x3o5/3*b - [Grünbaumian]
o3/2x3/2o3x5/3*b - (contains "2geihid")
o3/2o3/2x3x5/3*b - shihix
x3/2x3/2x3o5/3*b - [Grünbaumian]
x3/2x3/2o3x5/3*b - [Grünbaumian]
x3/2o3/2x3x5/3*b - (contains sicdatrid)
o3/2x3/2x3x5/3*b - [Grünbaumian]
x3/2x3/2x3x5/3*b - [Grünbaumian]

x3/2x3o3/2o5/3*b - [Grünbaumian]
x3/2o3x3/2o5/3*b - (contains "2ike")
x3/2o3o3/2x5/3*b - (contains sicdatrid)
o3/2x3x3/2o5/3*b - swavixady
o3/2x3o3/2x5/3*b - (contains "2geihid")
o3/2o3x3/2x5/3*b - [Grünbaumian]
x3/2x3x3/2o5/3*b - [Grünbaumian]
x3/2x3o3/2x5/3*b - [Grünbaumian]
x3/2o3x3/2x5/3*b - [Grünbaumian]
o3/2x3x3/2x5/3*b - [Grünbaumian]
x3/2x3x3/2x5/3*b - [Grünbaumian]

x3/2x3/2o3/2o5/2*b - [Grünbaumian]
x3/2o3/2x3/2o5/2*b - (contains "2ike")
x3/2o3/2o3/2x5/2*b - gadtef pixady
o3/2x3/2x3/2o5/2*b - [Grünbaumian]
o3/2x3/2o3/2x5/2*b - [Grünbaumian]
o3/2o3/2x3/2x5/2*b - [Grünbaumian]
x3/2x3/2x3/2o5/2*b - [Grünbaumian]
x3/2x3/2o3/2x5/2*b - [Grünbaumian]
x3/2o3/2x3/2x5/2*b - [Grünbaumian]
o3/2x3/2x3/2x5/2*b - [Grünbaumian]
x3/2x3/2x3/2x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5o3/2*b   (up)

  o3o3o5o3/2*b (µ=218) o3o3o5/4o3*b (µ=382) o3/2o3o5o3/2*b (µ=502)
quasiregulars 
x3o3o5o3/2*b - 2gax
   (contains "2gike" as verf)
o3x3o5o3/2*b - (contains "2gike")
o3o3x5o3/2*b - gadtaxhi
o3o3o5x3/2*b - gadtaxhi

x3o3o5/4o3*b - 2gax
   (contains "2gike" as verf)
o3x3o5/4o3*b - (contains "2gike")
o3o3x5/4o3*b - gadtaxhi

x3/2o3o5o3/2*b - 2gax
   (contains "2gike" as verf)
o3/2x3o5o3/2*b - (contains "2gike")
o3/2o3x5o3/2*b - gadtaxhi
o3/2o3o5x3/2*b - gadtaxhi
other
Wythoffians 
x3x3o5o3/2*b - (contains "2gike")
x3o3x5o3/2*b - getit phiddix
x3o3o5x3/2*b - (contains "2thah")
o3x3x5o3/2*b - rawvhiddix
o3x3o5x3/2*b - [Grünbaumian]
o3o3x5x3/2*b - (contains "2seihid")
x3x3x5o3/2*b - giphiddix
x3x3o5x3/2*b - [Grünbaumian]
x3o3x5x3/2*b - (contains "2seihid")
o3x3x5x3/2*b - [Grünbaumian]
x3x3x5x3/2*b - [Grünbaumian]

x3x3o5/4o3*b - (contains "2gike")
x3o3x5/4o3*b - getit phiddix
o3x3x5/4o3*b - rawvhiddix
o3o3x5/4x3*b - [Grünbaumian]
x3x3x5/4o3*b - giphiddix
x3o3x5/4x3*b - [Grünbaumian]
o3x3x5/4x3*b - [Grünbaumian]
x3x3x5/4x3*b - [Grünbaumian]

x3/2x3o5o3/2*b - [Grünbaumian]
x3/2o3x5o3/2*b - (contains "2thah")
x3/2o3o5x3/2*b - getit phiddix
o3/2x3x5o3/2*b - rawvhiddix
o3/2x3o5x3/2*b - [Grünbaumian]
o3/2o3x5x3/2*b - (contains "2seihid")
x3/2x3x5o3/2*b - [Grünbaumian]
x3/2x3o5x3/2*b - [Grünbaumian]
x3/2o3x5x3/2*b - (contains "2thah")
o3/2x3x5x3/2*b - [Grünbaumian]
x3/2x3x5x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o3/2o3o5/4o3*b (µ=1298) o3o3/2o5/4o3/2*b (µ=1582) o3/2o3/2o5/4o3/2*b (µ=2498)
quasiregulars 
x3/2o3o5/4o3*b - 2gax
   (contains "2gike" as verf)
o3/2x3o5/4o3*b - (contains "2gike")
o3/2o3x5/4o3*b - gadtaxhi

x3o3/2o5/4o3/2*b - 2gax
   (contains "2gike" as verf)
o3x3/2o5/4o3/2*b - (contains "2gike")
o3o3/2x5/4o3/2*b - gadtaxhi

x3/2o3/2o5/4o3/2*b - 2gax
   (contains "2gike" as verf)
o3/2x3/2o5/4o3/2*b - (contains "2gike")
o3/2o3/2x5/4o3/2*b - gadtaxhi
other
Wythoffians 
x3/2x3o5/4o3*b - [Grünbaumian]
x3/2o3x5/4o3*b - (contains "2thah")
o3/2x3x5/4o3*b - rawvhiddix
o3/2o3x5/4x3*b - [Grünbaumian]
x3/2x3x5/4o3*b - [Grünbaumian]
x3/2o3x5/4x3*b - [Grünbaumian]
o3/2x3x5/4x3*b - [Grünbaumian]
x3/2x3x5/4x3*b - [Grünbaumian]

x3x3/2o5/4o3/2*b - (contains "2gike")
x3o3/2x5/4o3/2*b - (contains "2thah")
o3x3/2x5/4o3/2*b - [Grünbaumian]
o3o3/2x5/4x3/2*b - [Grünbaumian]
x3x3/2x5/4o3/2*b - [Grünbaumian]
x3o3/2x5/4x3/2*b - [Grünbaumian]
o3x3/2x5/4x3/2*b - [Grünbaumian]
x3x3/2x5/4x3/2*b - [Grünbaumian]

x3/2x3/2o5/4o3/2*b - [Grünbaumian]
x3/2o3/2x5/4o3/2*b - getit phiddix
o3/2x3/2x5/4o3/2*b - [Grünbaumian]
o3/2o3/2x5/4x3/2*b - [Grünbaumian]
x3/2x3/2x5/4o3/2*b - [Grünbaumian]
x3/2o3/2x5/4x3/2*b - [Grünbaumian]
o3/2x3/2x5/4x3/2*b - [Grünbaumian]
x3/2x3/2x5/4x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5/2o3*b   (up)

  o3o3o5/2o3*b (µ=2) o3/2o3o5/2o3*b (µ=238) o3o3o5/3o3/2*b (µ=598)
quasiregulars 
x3o3o5/2o3*b - 2ex
   (contains "2ike" as verf)
o3x3o5/2o3*b - (contains "2ike")
o3o3x5/2o3*b - sidtaxhi

x3/2o3o5/2o3*b - 2ex
   (contains "2ike" as verf)
o3/2x3o5/2o3*b - (contains "2ike")
o3/2o3x5/2o3*b - sidtaxhi

x3o3o5/3o3/2*b - 2ex
   (contains "2ike" as verf)
o3x3o5/3o3/2*b - (contains "2ike")
o3o3x5/3o3/2*b - sidtaxhi
o3o3o5/3x3/2*b - sidtaxhi
other
Wythoffians 
x3x3o5/2o3*b - (contains "2ike")
x3o3x5/2o3*b - stut phiddix
o3x3x5/2o3*b - wavhiddix
o3o3x5/2x3*b - [Grünbaumian]
x3x3x5/2o3*b - sphiddix
x3o3x5/2x3*b - [Grünbaumian]
o3x3x5/2x3*b - [Grünbaumian]
x3x3x5/2x3*b - [Grünbaumian]

x3/2x3o5/2o3*b - [Grünbaumian]
x3/2o3x5/2o3*b - (contains "2thah")
o3/2x3x5/2o3*b - wavhiddix
o3/2o3x5/2x3*b - [Grünbaumian]
x3/2x3x5/2o3*b - [Grünbaumian]
x3/2o3x5/2x3*b - [Grünbaumian]
o3/2x3x5/2x3*b - [Grünbaumian]
x3/2x3x5/2x3*b - [Grünbaumian]

x3x3o5/3o3/2*b - (contains "2ike")
x3o3x5/3o3/2*b - stut phiddix
x3o3o5/3x3/2*b - (contains "2thah")
o3x3x5/3o3/2*b - wavhiddix
o3x3o5/3x3/2*b - [Grünbaumian]
o3o3x5/3x3/2*b - (contains "2geihid")
x3x3x5/3o3/2*b - sphiddix
x3x3o5/3x3/2*b - [Grünbaumian]
x3o3x5/3x3/2*b - (contains "2thah")
o3x3x5/3x3/2*b - [Grünbaumian]
x3x3x5/3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o3o3/2o5/2o3/2*b (µ=1202) o3/2o3/2o5/2o3/2*b (µ=1438) o3/2o3o5/3o3/2*b (µ=1562)
quasiregulars 
x3o3/2o5/2o3/2*b - 2ex
   (contains "2ike" as verf)
o3x3/2o5/2o3/2*b - (contains "2ike")
o3o3/2x5/2o3/2*b - sidtaxhi

x3/2o3/2o5/2o3/2*b - 2ex
   (contains "2ike" as verf)
o3/2x3/2o5/2o3/2*b - (contains "2ike")
o3/2o3/2x5/2o3/2*b - sidtaxhi

x3/2o3o5/3o3/2*b - 2ex
   (contains "2ike" as verf)
o3/2x3o5/3o3/2*b - (contains "2ike")
o3/2o3x5/3o3/2*b - sidtaxhi
o3/2o3o5/3x3/2*b - sidtaxhi
other
Wythoffians 
x3x3/2o5/2o3/2*b - (contains "2ike")
x3o3/2x5/2o3/2*b - (contains "2thah")
o3x3/2x5/2o3/2*b - [Grünbaumian]
o3o3/2x5/2x3/2*b - [Grünbaumian]
x3x3/2x5/2o3/2*b - [Grünbaumian]
x3o3/2x5/2x3/2*b - [Grünbaumian]
o3x3/2x5/2x3/2*b - [Grünbaumian]
x3x3/2x5/2x3/2*b - [Grünbaumian]

x3/2x3/2o5/2o3/2*b - [Grünbaumian]
x3/2o3/2x5/2o3/2*b - stut phiddix
o3/2x3/2x5/2o3/2*b - [Grünbaumian]
o3/2o3/2x5/2x3/2*b - [Grünbaumian]
x3/2x3/2x5/2o3/2*b - [Grünbaumian]
x3/2o3/2x5/2x3/2*b - [Grünbaumian]
o3/2x3/2x5/2x3/2*b - [Grünbaumian]
x3/2x3/2x5/2x3/2*b - [Grünbaumian]

x3/2x3o5/3o3/2*b - [Grünbaumian]
x3/2o3x5/3o3/2*b - (contains "2thah")
x3/2o3o5/3x3/2*b - stut phiddix
o3/2x3x5/3o3/2*b - wavhiddix
o3/2x3o5/3x3/2*b - [Grünbaumian]
o3/2o3x5/3x3/2*b - (contains "2geihid")
x3/2x3x5/3o3/2*b - [Grünbaumian]
x3/2x3o5/3x3/2*b - [Grünbaumian]
x3/2o3x5/3x3/2*b - (contains "2thah")
o3/2x3x5/3x3/2*b - [Grünbaumian]
x3/2x3x5/3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3/2o5o5*b   (up)

  o3o3/2o5o5*b (µ=3) o3o3o5/4o5*b (µ=117) o3/2o3/2o5o5*b (µ=237) o3o3o5o5/4*b (µ=483)
quasiregulars 
x3o3/2o5o5*b - ex+fix
   (contains cid as verf)
o3x3/2o5o5*b - (contains cid)
o3o3/2x5o5*b - (contains cid)
o3o3/2o5x5*b - (contains "2doe")

x3o3o5/4o5*b - ex+fix
   (contains cid as verf)
o3x3o5/4o5*b - (contains cid)
o3o3x5/4o5*b - (contains cid)
o3o3o5/4x5*b - (contains "2doe")

x3/2o3/2o5o5*b - ex+fix
   (contains cid as verf)
o3/2x3/2o5o5*b - (contains cid)
o3/2o3/2x5o5*b - (contains cid)
o3/2o3/2o5x5*b - (contains "2doe")

x3o3o5o5/4*b - ex+fix
   (contains cid as verf)
o3x3o5o5/4*b - (contains cid)
o3o3x5o5/4*b - (contains cid)
o3o3o5x5/4*b - (contains "2doe")
other
Wythoffians 
x3x3/2o5o5*b - (contains cid)
x3o3/2x5o5*b - (contains cid)
x3o3/2o5x5*b - (contains "2doe")
o3x3/2x5o5*b - [Grünbaumian]
o3x3/2o5x5*b - srawvixady
o3o3/2x5x5*b - sixhihy
x3x3/2x5o5*b - [Grünbaumian]
x3x3/2o5x5*b - spixady
x3o3/2x5x5*b - (contains "2thah")
o3x3/2x5x5*b - [Grünbaumian]
x3x3/2x5x5*b - [Grünbaumian]

x3x3o5/4o5*b - (contains cid)
x3o3x5/4o5*b - (contains cid)
x3o3o5/4x5*b - (contains "2doe")
o3x3x5/4o5*b - (contains "2gidhei")
o3x3o5/4x5*b - srawvixady
o3o3x5/4x5*b - [Grünbaumian]
x3x3x5/4o5*b - (contains "2gidhei")
x3x3o5/4x5*b - spixady
x3o3x5/4x5*b - [Grünbaumian]
o3x3x5/4x5*b - [Grünbaumian]
x3x3x5/4x5*b - [Grünbaumian]

x3/2x3/2o5o5*b - [Grünbaumian]
x3/2o3/2x5o5*b - (contains cid)
x3/2o3/2o5x5*b - (contains "2doe")
o3/2x3/2x5o5*b - [Grünbaumian]
o3/2x3/2o5x5*b - srawvixady
o3/2o3/2x5x5*b - sixhihy
x3/2x3/2x5o5*b - [Grünbaumian]
x3/2x3/2o5x5*b - [Grünbaumian]
x3/2o3/2x5x5*b - (contains gicdatrid)
o3/2x3/2x5x5*b - [Grünbaumian]
x3/2x3/2x5x5*b - [Grünbaumian]

x3x3o5o5/4*b - (contains cid)
x3o3x5o5/4*b - (contains cid)
x3o3o5x5/4*b - (contains "2doe")
o3x3x5o5/4*b - (contains "2gidhei")
o3x3o5x5/4*b - [Grünbaumian]
o3o3x5x5/4*b - sixhihy
x3x3x5o5/4*b - (contains "2gidhei")
x3x3o5x5/4*b - [Grünbaumian]
x3o3x5x5/4*b - (contains gicdatrid)
o3x3x5x5/4*b - [Grünbaumian]
x3x3x5x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o3/2o3o5o5/4*b (µ=717) o3/2o3o5/4o5*b (µ=1083) o3o3/2o5/4o5/4*b (µ=1797) o3/2o3/2o5/4o5/4*b (µ=2763)
quasiregulars 
x3/2o3o5o5/4*b - ex+fix
   (contains cid as verf)
o3/2x3o5o5/4*b - (contains cid)
o3/2o3x5o5/4*b - (contains cid)
o3/2o3o5x5/4*b - (contains "2doe")

x3/2o3o5/4o5*b - ex+fix
   (contains cid as verf)
o3/2x3o5/4o5*b - (contains cid)
o3/2o3x5/4o5*b - (contains cid)
o3/2o3o5/4x5*b - (contains "2doe")

x3o3/2o5/4o5/4*b - ex+fix
   (contains cid as verf)
o3x3/2o5/4o5/4*b - (contains cid)
o3o3/2x5/4o5/4*b - (contains cid)
o3o3/2o5/4x5/4*b - (contains "2doe")

x3/2o3/2o5/4o5/4*b - ex+fix
   (contains cid as verf)
o3/2x3/2o5/4o5/4*b - (contains cid)
o3/2o3/2x5/4o5/4*b - (contains cid)
o3/2o3/2o5/4x5/4*b - (contains "2doe")
other
Wythoffians 
x3/2x3o5o5/4*b - [Grünbaumian]
x3/2o3x5o5/4*b - (contains cid)
x3/2o3o5x5/4*b - (contains "2doe")
o3/2x3x5o5/4*b - (contains "2gidhei")
o3/2x3o5x5/4*b - [Grünbaumian]
o3/2o3x5x5/4*b - sixhihy
x3/2x3x5o5/4*b - [Grünbaumian]
x3/2x3o5x5/4*b - [Grünbaumian]
x3/2o3x5x5/4*b - (contains "2thah")
o3/2x3x5x5/4*b - [Grünbaumian]
x3/2x3x5x5/4*b - [Grünbaumian]

x3/2x3o5/4o5*b - [Grünbaumian]
x3/2o3x5/4o5*b - (contains cid)
x3/2o3o5/4x5*b - (contains "2doe")
o3/2x3x5/4o5*b - (contains "2gidhei")
o3/2x3o5/4x5*b - srawvixady
o3/2o3x5/4x5*b - [Grünbaumian]
x3/2x3x5/4o5*b - [Grünbaumian]
x3/2x3o5/4x5*b - [Grünbaumian]
x3/2o3x5/4x5*b - [Grünbaumian]
o3/2x3x5/4x5*b - [Grünbaumian]
x3/2x3x5/4x5*b - [Grünbaumian]

x3x3/2o5/4o5/4*b - (contains cid)
x3o3/2x5/4o5/4*b - (contains cid)
x3o3/2o5/4x5/4*b - (contains "2doe")
o3x3/2x5/4o5/4*b - [Grünbaumian]
o3x3/2o5/4x5/4*b - [Grünbaumian]
o3o3/2x5/4x5/4*b - [Grünbaumian]
x3x3/2x5/4o5/4*b - [Grünbaumian]
x3x3/2o5/4x5/4*b - [Grünbaumian]
x3o3/2x5/4x5/4*b - [Grünbaumian]
o3x3/2x5/4x5/4*b - [Grünbaumian]
x3x3/2x5/4x5/4*b - [Grünbaumian]

x3/2x3/2o5/4o5/4*b - [Grünbaumian]
x3/2o3/2x5/4o5/4*b - (contains cid)
x3/2o3/2o5/4x5/4*b - (contains "2doe")
o3/2x3/2x5/4o5/4*b - [Grünbaumian]
o3/2x3/2o5/4x5/4*b - [Grünbaumian]
o3/2o3/2x5/4x5/4*b - [Grünbaumian]
x3/2x3/2x5/4o5/4*b - [Grünbaumian]
x3/2x3/2o5/4x5/4*b - [Grünbaumian]
x3/2o3/2x5/4x5/4*b - [Grünbaumian]
o3/2x3/2x5/4x5/4*b - [Grünbaumian]
x3/2x3/2x5/4x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5/3o5/2*b   (up)

  o3o3o5/3o5/2*b (µ=267) o3o3o5/2o5/3*b (µ=333) o3o3/2o5/2o5/2*b (µ=573) o3/2o3o5/2o5/3*b (µ=867)
quasiregulars 
x3o3o5/3o5/2*b - gax+gofix
   (contains gacid as verf)
o3x3o5/3o5/2*b - (contains gacid)
o3o3x5/3o5/2*b - (contains gacid)
o3o3o5/3x5/2*b - (contains "2gissid")

x3o3o5/2o5/3*b - gax+gofix
   (contains gacid as verf)
o3x3o5/2o5/3*b - (contains gacid)
o3o3x5/2o5/3*b - (contains gacid)
o3o3o5/2x5/3*b - (contains "2gissid")

x3o3/2o5/2o5/2*b - gax+gofix
   (contains gacid as verf)
o3x3/2o5/2o5/2*b - (contains gacid)
o3o3/2x5/2o5/2*b - (contains gacid)
o3o3/2o5/2x5/2*b - (contains "2gissid")

x3/2o3o5/2o5/3*b - gax+gofix
   (contains gacid as verf)
o3/2x3o5/2o5/3*b - (contains gacid)
o3/2o3x5/2o5/3*b - (contains gacid)
o3/2o3o5/2x5/3*b - (contains "2gissid")
other
Wythoffians 
x3x3o5/3o5/2*b - (contains gacid)
x3o3x5/3o5/2*b - (contains gacid)
x3o3o5/3x5/2*b - (contains "2gissid")
o3x3x5/3o5/2*b - (contains "2sidhei")
o3x3o5/3x5/2*b - [Grünbaumian]
o3o3x5/3x5/2*b - gixhihy
x3x3x5/3o5/2*b - (contains "2sidhei")
x3x3o5/3x5/2*b - [Grünbaumian]
x3o3x5/3x5/2*b - (contains sicdatrid)
o3x3x5/3x5/2*b - [Grünbaumian]
x3x3x5/3x5/2*b - [Grünbaumian]

x3x3o5/2o5/3*b - (contains gacid)
x3o3x5/2o5/3*b - (contains gacid)
x3o3o5/2x5/3*b - (contains "2gissid")
o3x3x5/2o5/3*b - (contains "2sidhei")
o3x3o5/2x5/3*b - gwavixady
o3o3x5/2x5/3*b - [Grünbaumian]
x3x3x5/2o5/3*b - (contains "2sidhei")
x3x3o5/2x5/3*b - gippixady
x3o3x5/2x5/3*b - [Grünbaumian]
o3x3x5/2x5/3*b - [Grünbaumian]
x3x3x5/2x5/3*b - [Grünbaumian]

x3x3/2o5/2o5/2*b - (contains gacid)
x3o3/2x5/2o5/2*b - (contains gacid)
x3o3/2o5/2x5/2*b - (contains "2gissid")
o3x3/2x5/2o5/2*b - [Grünbaumian]
o3x3/2o5/2x5/2*b - [Grünbaumian]
o3o3/2x5/2x5/2*b - [Grünbaumian]
x3x3/2x5/2o5/2*b - [Grünbaumian]
x3x3/2o5/2x5/2*b - [Grünbaumian]
x3o3/2x5/2x5/2*b - [Grünbaumian]
o3x3/2x5/2x5/2*b - [Grünbaumian]
x3x3/2x5/2x5/2*b - [Grünbaumian]

x3/2x3o5/2o5/3*b - [Grünbaumian]
x3/2o3x5/2o5/3*b - (contains gacid)
x3/2o3o5/2x5/3*b - (contains "2gissid")
o3/2x3x5/2o5/3*b - (contains "2sidhei")
o3/2x3o5/2x5/3*b - gwavixady
o3/2o3x5/2x5/3*b - [Grünbaumian]
x3/2x3x5/2o5/3*b - [Grünbaumian]
x3/2x3o5/2x5/3*b - [Grünbaumian]
x3/2o3x5/2x5/3*b - [Grünbaumian]
o3/2x3x5/2x5/3*b - [Grünbaumian]
x3/2x3x5/2x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o3/2o3o5/3o5/2*b (µ=933) o3/2o3/2o5/2o5/2*b (µ=1107) o3o3/2o5/3o5/3*b (µ=1227) o3/2o3/2o5/3o5/3*b (µ=1893)
quasiregulars 
x3/2o3o5/3o5/2*b - gax+gofix
   (contains gacid as verf)
o3/2x3o5/3o5/2*b - (contains gacid)
o3/2o3x5/3o5/2*b - (contains gacid)
o3/2o3o5/3x5/2*b - (contains "2gissid")

x3/2o3/2o5/2o5/2*b - gax+gofix
   (contains gacid as verf)
o3/2x3/2o5/2o5/2*b - (contains gacid)
o3/2o3/2x5/2o5/2*b - (contains gacid)
o3/2o3/2o5/2x5/2*b - (contains "2gissid")

x3o3/2o5/3o5/3*b - gax+gofix
   (contains gacid as verf)
o3x3/2o5/3o5/3*b - (contains gacid)
o3o3/2x5/3o5/3*b - (contains gacid)
o3o3/2o5/3x5/3*b - (contains "2gissid")

x3/2o3/2o5/3o5/3*b - gax+gofix
   (contains gacid as verf)
o3/2x3/2o5/3o5/3*b - (contains gacid)
o3/2o3/2x5/3o5/3*b - (contains gacid)
o3/2o3/2o5/3x5/3*b - (contains "2gissid")
other
Wythoffians 
x3/2x3o5/3o5/2*b - [Grünbaumian]
x3/2o3x5/3o5/2*b - (contains gacid)
x3/2o3o5/3x5/2*b - (contains "2gissid")
o3/2x3x5/3o5/2*b - (contains "2sidhei")
o3/2x3o5/3x5/2*b - [Grünbaumian]
o3/2o3x5/3x5/2*b - gixhihy
x3/2x3x5/3o5/2*b - [Grünbaumian]
x3/2x3o5/3x5/2*b - [Grünbaumian]
x3/2o3x5/3x5/2*b - (contains "2thah")
o3/2x3x5/3x5/2*b - [Grünbaumian]
x3/2x3x5/3x5/2*b - [Grünbaumian]

x3/2x3/2o5/2o5/2*b - [Grünbaumian]
x3/2o3/2x5/2o5/2*b - (contains gacid)
x3/2o3/2o5/2x5/2*b - (contains "2gissid")
o3/2x3/2x5/2o5/2*b - [Grünbaumian]
o3/2x3/2o5/2x5/2*b - [Grünbaumian]
o3/2o3/2x5/2x5/2*b - [Grünbaumian]
x3/2x3/2x5/2o5/2*b - [Grünbaumian]
x3/2x3/2o5/2x5/2*b - [Grünbaumian]
x3/2o3/2x5/2x5/2*b - [Grünbaumian]
o3/2x3/2x5/2x5/2*b - [Grünbaumian]
x3/2x3/2x5/2x5/2*b - [Grünbaumian]

x3x3/2o5/3o5/3*b - (contains gacid)
x3o3/2x5/3o5/3*b - (contains gacid)
x3o3/2o5/3x5/3*b - (contains "2gissid")
o3x3/2x5/3o5/3*b - [Grünbaumian]
o3x3/2o5/3x5/3*b - gwavixady
o3o3/2x5/3x5/3*b - gixhihy
x3x3/2x5/3o5/3*b - [Grünbaumian]
x3x3/2o5/3x5/3*b - gippixady
x3o3/2x5/3x5/3*b - (contains "2thah")
o3x3/2x5/3x5/3*b - [Grünbaumian]
x3x3/2x5/3x5/3*b - [Grünbaumian]

x3/2x3/2o5/3o5/3*b - [Grünbaumian]
x3/2o3/2x5/3o5/3*b - (contains gacid)
x3/2o3/2o5/3x5/3*b - (contains "2gissid")
o3/2x3/2x5/3o5/3*b - [Grünbaumian]
o3/2x3/2o5/3x5/3*b - gwavixady
o3/2o3/2x5/3x5/3*b - gixhihy
x3/2x3/2x5/3o5/3*b - [Grünbaumian]
x3/2x3/2o5/3x5/3*b - [Grünbaumian]
x3/2o3/2x5/3x5/3*b - (contains sicdatrid)
o3/2x3/2x5/3x5/3*b - [Grünbaumian]
x3/2x3/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5o5/3*b   (up)

  o3o3o5o5/3*b (µ=115) o3o3/2o5o5/2*b (µ=355) o3/2o3o5o5/3*b (µ=365) o3o3o5/4o5/2*b (µ=485)
quasiregulars 
x3o3o5o5/3*b - gax+gofix
   (contains gacid as verf)
o3x3o5o5/3*b - (contains gacid)
o3o3x5o5/3*b - (contains cid)
o3o3o5x5/3*b - gadatady

x3o3/2o5o5/2*b - gax+gofix
   (contains gacid as verf)
o3x3/2o5o5/2*b - (contains gacid)
o3o3/2x5o5/2*b - (contains cid)
o3o3/2o5x5/2*b - gadatady

x3/2o3o5o5/3*b - gax+gofix
   (contains gacid as verf)
o3/2x3o5o5/3*b - (contains gacid)
o3/2o3x5o5/3*b - (contains cid)
o3/2o3o5x5/3*b - gadatady

x3o3o5/4o5/2*b - gax+gofix
   (contains gacid as verf)
o3x3o5/4o5/2*b - (contains gacid)
o3o3x5/4o5/2*b - (contains cid)
o3o3o5/4x5/2*b - gadatady
other
Wythoffians 
x3x3o5o5/3*b - (contains gacid)
x3o3x5o5/3*b - (contains cid)
x3o3o5x5/3*b - getit pixady
o3x3x5o5/3*b - grawv hixhi
o3x3o5x5/3*b - wavdatixady
o3o3x5x5/3*b - sidthixhi
x3x3x5o5/3*b - giphihix
x3x3o5x5/3*b - gixipady
x3o3x5x5/3*b - gikkiv datapixady
o3x3x5x5/3*b - hixquathix
x3x3x5x5/3*b - hixquitphix

x3x3/2o5o5/2*b - (contains gacid)
x3o3/2x5o5/2*b - (contains cid)
x3o3/2o5x5/2*b - (contains sicdatrid)
o3x3/2x5o5/2*b - [Grünbaumian]
o3x3/2o5x5/2*b - [Grünbaumian]
o3o3/2x5x5/2*b - sidthixhi
x3x3/2x5o5/2*b - [Grünbaumian]
x3x3/2o5x5/2*b - [Grünbaumian]
x3o3/2x5x5/2*b - (contains "2thah")
o3x3/2x5x5/2*b - [Grünbaumian]
x3x3/2x5x5/2*b - [Grünbaumian]

x3/2x3o5o5/3*b - [Grünbaumian]
x3/2o3x5o5/3*b - (contains cid)
x3/2o3o5x5/3*b - (contains sicdatrid)
o3/2x3x5o5/3*b - grawv hixhi
o3/2x3o5x5/3*b - wavdatixady
o3/2o3x5x5/3*b - sidthixhi
x3/2x3x5o5/3*b - [Grünbaumian]
x3/2x3o5x5/3*b - [Grünbaumian]
x3/2o3x5x5/3*b - (contains "2thah")
o3/2x3x5x5/3*b - hixquathix
x3/2x3x5x5/3*b - [Grünbaumian]

x3x3o5/4o5/2*b - (contains gacid)
x3o3x5/4o5/2*b - (contains cid)
x3o3o5/4x5/2*b - (contains sicdatrid)
o3x3x5/4o5/2*b - grawv hixhi
o3x3o5/4x5/2*b - [Grünbaumian]
o3o3x5/4x5/2*b - [Grünbaumian]
x3x3x5/4o5/2*b - giphihix
x3x3o5/4x5/2*b - [Grünbaumian]
x3o3x5/4x5/2*b - [Grünbaumian]
o3x3x5/4x5/2*b - [Grünbaumian]
x3x3x5/4x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o3/2o3/2o5o5/2*b (µ=605) o3/2o3o5/4o5/2*b (µ=1435) o3o3/2o5/4o5/3*b (µ=1445) o3/2o3/2o5/4o5/3*b (µ=2395)
quasiregulars 
x3/2o3/2o5o5/2*b - gax+gofix
   (contains gacid as verf)
o3/2x3/2o5o5/2*b - (contains gacid)
o3/2o3/2x5o5/2*b - (contains cid)
o3/2o3/2o5x5/2*b - gadatady

x3/2o3o5/4o5/2*b - gax+gofix
   (contains gacid as verf)
o3/2x3o5/4o5/2*b - (contains gacid)
o3/2o3x5/4o5/2*b - (contains cid)
o3/2o3o5/4x5/2*b - gadatady

x3o3/2o5/4o5/3*b - gax+gofix
   (contains gacid as verf)
o3x3/2o5/4o5/3*b - (contains gacid)
o3o3/2x5/4o5/3*b - (contains cid)
o3o3/2o5/4x5/3*b - gadatady

x3/2o3/2o5/4o5/3*b - gax+gofix
   (contains gacid as verf)
o3/2x3/2o5/4o5/3*b - (contains gacid)
o3/2o3/2x5/4o5/3*b - (contains cid)
o3/2o3/2o5/4x5/3*b - gadatady
other
Wythoffians 
x3/2x3/2o5o5/2*b - [Grünbaumian]
x3/2o3/2x5o5/2*b - (contains cid)
x3/2o3/2o5x5/2*b - getit pixady
o3/2x3/2x5o5/2*b - [Grünbaumian]
o3/2x3/2o5x5/2*b - [Grünbaumian]
o3/2o3/2x5x5/2*b - sidthixhi
x3/2x3/2x5o5/2*b - [Grünbaumian]
x3/2x3/2o5x5/2*b - [Grünbaumian]
x3/2o3/2x5x5/2*b - gikkiv datapixady
o3/2x3/2x5x5/2*b - [Grünbaumian]
x3/2x3/2x5x5/2*b - [Grünbaumian]

x3/2x3o5/4o5/2*b - [Grünbaumian]
x3/2o3x5/4o5/2*b - (contains cid)
x3/2o3o5/4x5/2*b - getit pixady
o3/2x3x5/4o5/2*b - grawv hixhi
o3/2x3o5/4x5/2*b - [Grünbaumian]
o3/2o3x5/4x5/2*b - [Grünbaumian]
x3/2x3x5/4o5/2*b - [Grünbaumian]
x3/2x3o5/4x5/2*b - [Grünbaumian]
x3/2o3x5/4x5/2*b - [Grünbaumian]
o3/2x3x5/4x5/2*b - [Grünbaumian]
x3/2x3x5/4x5/2*b - [Grünbaumian]

x3x3/2o5/4o5/3*b - (contains gacid)
x3o3/2x5/4o5/3*b - (contains cid)
x3o3/2o5/4x5/3*b - getit pixady
o3x3/2x5/4o5/3*b - [Grünbaumian]
o3x3/2o5/4x5/3*b - wavdatixady
o3o3/2x5/4x5/3*b - [Grünbaumian]
x3x3/2x5/4o5/3*b - [Grünbaumian]
x3x3/2o5/4x5/3*b - gixipady
x3o3/2x5/4x5/3*b - [Grünbaumian]
o3x3/2x5/4x5/3*b - [Grünbaumian]
x3x3/2x5/4x5/3*b - [Grünbaumian]

x3/2x3/2o5/4o5/3*b - [Grünbaumian]
x3/2o3/2x5/4o5/3*b - (contains cid)
x3/2o3/2o5/4x5/3*b - (contains sicdatrid)
o3/2x3/2x5/4o5/3*b - [Grünbaumian]
o3/2x3/2o5/4x5/3*b - wavdatixady
o3/2o3/2x5/4x5/3*b - [Grünbaumian]
x3/2x3/2x5/4o5/3*b - [Grünbaumian]
x3/2x3/2o5/4x5/3*b - [Grünbaumian]
x3/2o3/2x5/4x5/3*b - [Grünbaumian]
o3/2x3/2x5/4x5/3*b - [Grünbaumian]
x3/2x3/2x5/4x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5/3o5*b   (up)

  o3o3o5/3o5*b (µ=5) o3o3/2o5/2o5*b (µ=115) o3/2o3o5/3o5*b (µ=475) o3o3o5/2o5/4*b (µ=595)
quasiregulars 
x3o3o5/3o5*b - ex+fix
   (contains cid as verf)
o3x3o5/3o5*b - (contains cid)
o3o3x5/3o5*b - (contains gacid)
o3o3o5/3x5*b - siddatady

x3o3/2o5/2o5*b - ex+fix
   (contains cid as verf)
o3x3/2o5/2o5*b - (contains cid)
o3o3/2x5/2o5*b - (contains gacid)
o3o3/2o5/2x5*b - siddatady

x3/2o3o5/3o5*b - ex+fix
   (contains cid as verf)
o3/2x3o5/3o5*b - (contains cid)
o3/2o3x5/3o5*b - (contains gacid)
o3/2o3o5/3x5*b - siddatady

x3o3o5/2o5/4*b - ex+fix
   (contains cid as verf)
o3x3o5/2o5/4*b - (contains cid)
o3o3x5/2o5/4*b - (contains gacid)
o3o3o5/2x5/4*b - siddatady
other
Wythoffians 
x3x3o5/3o5*b - (contains cid)
x3o3x5/3o5*b - (contains gacid)
x3o3o5/3x5*b - stut pixady
o3x3x5/3o5*b - mrawv hixhi
o3x3o5/3x5*b - rawvid tixady
o3o3x5/3x5*b - gidthixhi
x3x3x5/3o5*b - sphihix
x3x3o5/3x5*b - sixipady
x3o3x5/3x5*b - skiv datapixady
o3x3x5/3x5*b - hixthix
x3x3x5/3x5*b - hixtaphix

x3x3/2o5/2o5*b - (contains cid)
x3o3/2x5/2o5*b - (contains gacid)
x3o3/2o5/2x5*b - stut pixady
o3x3/2x5/2o5*b - [Grünbaumian]
o3x3/2o5/2x5*b - rawvid tixady
o3o3/2x5/2x5*b - [Grünbaumian]
x3x3/2x5/2o5*b - [Grünbaumian]
x3x3/2o5/2x5*b - sixipady
x3o3/2x5/2x5*b - [Grünbaumian]
o3x3/2x5/2x5*b - [Grünbaumian]
x3x3/2x5/2x5*b - [Grünbaumian]

x3/2x3o5/3o5*b - [Grünbaumian]
x3/2o3x5/3o5*b - (contains gacid)
x3/2o3o5/3x5*b - (contains gicdatrid)
o3/2x3x5/3o5*b - mrawv hixhi
o3/2x3o5/3x5*b - rawvid tixady
o3/2o3x5/3x5*b - gidthixhi
x3/2x3x5/3o5*b - [Grünbaumian]
x3/2x3o5/3x5*b - [Grünbaumian]
x3/2o3x5/3x5*b - (contains "2thah")
o3/2x3x5/3x5*b - hixthix
x3/2x3x5/3x5*b - [Grünbaumian]

x3x3o5/2o5/4*b - (contains cid)
x3o3x5/2o5/4*b - (contains gacid)
x3o3o5/2x5/4*b - (contains gicdatrid)
o3x3x5/2o5/4*b - mrawv hixhi
o3x3o5/2x5/4*b - [Grünbaumian]
o3o3x5/2x5/4*b - [Grünbaumian]
x3x3x5/2o5/4*b - sphihix
x3x3o5/2x5/4*b - [Grünbaumian]
x3o3x5/2x5/4*b - [Grünbaumian]
o3x3x5/2x5/4*b - [Grünbaumian]
x3x3x5/2x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o3/2o3/2o5/2o5*b (µ=845) o3/2o3o5/2o5/4*b (µ=1325) o3o3/2o5/3o5/4*b (µ=1685) o3/2o3/2o5/3o5/4*b (µ=2155)
quasiregulars 
x3/2o3/2o5/2o5*b - ex+fix
   (contains cid as verf)
o3/2x3/2o5/2o5*b - (contains cid)
o3/2o3/2x5/2o5*b - (contains gacid)
o3/2o3/2o5/2x5*b - siddatady

x3/2o3o5/2o5/4*b - ex+fix
   (contains cid as verf)
o3/2x3o5/2o5/4*b - (contains cid)
o3/2o3x5/2o5/4*b - (contains gacid)
o3/2o3o5/2x5/4*b - siddatady

x3o3/2o5/3o5/4*b - ex+fix
   (contains cid as verf)
o3x3/2o5/3o5/4*b - (contains cid)
o3o3/2x5/3o5/4*b - (contains gacid)
o3o3/2o5/3x5/4*b - siddatady

x3/2o3/2o5/3o5/4*b - ex+fix
   (contains cid as verf)
o3/2x3/2o5/3o5/4*b - (contains cid)
o3/2o3/2x5/3o5/4*b - (contains gacid)
o3/2o3/2o5/3x5/4*b - siddatady
other
Wythoffians 
x3/2x3/2o5/2o5*b - [Grünbaumian]
x3/2o3/2x5/2o5*b - (contains gacid)
x3/2o3/2o5/2x5*b - (contains gicdatrid)
o3/2x3/2x5/2o5*b - [Grünbaumian]
o3/2x3/2o5/2x5*b - rawvid tixady
o3/2o3/2x5/2x5*b - [Grünbaumian]
x3/2x3/2x5/2o5*b - [Grünbaumian]
x3/2x3/2o5/2x5*b - [Grünbaumian]
x3/2o3/2x5/2x5*b - [Grünbaumian]
o3/2x3/2x5/2x5*b - [Grünbaumian]
x3/2x3/2x5/2x5*b - [Grünbaumian]

x3/2x3o5/2o5/4*b - [Grünbaumian]
x3/2o3x5/2o5/4*b - (contains gacid)
x3/2o3o5/2x5/4*b - stut pixady
o3/2x3x5/2o5/4*b - mrawv hixhi
o3/2x3o5/2x5/4*b - [Grünbaumian]
o3/2o3x5/2x5/4*b - [Grünbaumian]
x3/2x3x5/2o5/4*b - [Grünbaumian]
x3/2x3o5/2x5/4*b - [Grünbaumian]
x3/2o3x5/2x5/4*b - [Grünbaumian]
o3/2x3x5/2x5/4*b - [Grünbaumian]
x3/2x3x5/2x5/4*b - [Grünbaumian]

x3x3/2o5/3o5/4*b - (contains cid)
x3o3/2x5/3o5/4*b - (contains gacid)
x3o3/2o5/3x5/4*b - (contains gicdatrid)
o3x3/2x5/3o5/4*b - [Grünbaumian]
o3x3/2o5/3x5/4*b - [Grünbaumian]
o3o3/2x5/3x5/4*b - gidthixhi
x3x3/2x5/3o5/4*b - [Grünbaumian]
x3x3/2o5/3x5/4*b - [Grünbaumian]
x3o3/2x5/3x5/4*b - (contains "2thah")
o3x3/2x5/3x5/4*b - [Grünbaumian]
x3x3/2x5/3x5/4*b - [Grünbaumian]

x3/2x3/2o5/3o5/4*b - [Grünbaumian]
x3/2o3/2x5/3o5/4*b - (contains gacid)
x3/2o3/2o5/3x5/4*b - stut pixady
o3/2x3/2x5/3o5/4*b - [Grünbaumian]
o3/2x3/2o5/3x5/4*b - [Grünbaumian]
o3/2o3/2x5/3x5/4*b - gidthixhi
x3/2x3/2x5/3o5/4*b - [Grünbaumian]
x3/2x3/2o5/3x5/4*b - [Grünbaumian]
x3/2o3/2x5/3x5/4*b - skiv datapixady
o3/2x3/2x5/3x5/4*b - [Grünbaumian]
x3/2x3/2x5/3x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o5o3o5/3*b   (up)

  o3o5o3o5/3*b (µ=30) o3o5o3/2o5/2*b (µ=90) o3/2o5o3o5/3*b (µ=450) o3o5/4o3o5/2*b (µ=750)
quasiregulars 
x3o5o3o5/3*b - dittady
o3x5o3o5/3*b - ridtidohi
o3o5x3o5/3*b - (contains cid)
o3o5o3x5/3*b - (contains gacid)

x3o5o3/2o5/2*b - dittady
o3x5o3/2o5/2*b - ridtidohi
o3o5x3/2o5/2*b - (contains cid)
o3o5o3/2x5/2*b - (contains gacid)

x3/2o5o3o5/3*b - dittady
o3/2x5o3o5/3*b - ridtidohi
o3/2o5x3o5/3*b - (contains cid)
o3/2o5o3x5/3*b - (contains gacid)

x3o5/4o3o5/2*b - dittady
o3x5/4o3o5/2*b - ridtidohi
o3o5/4x3o5/2*b - (contains cid)
o3o5/4o3x5/2*b - (contains gacid)
other
Wythoffians 
x3x5o3o5/3*b - tidtidohi
x3o5x3o5/3*b - (contains cid)
x3o5o3x5/3*b - (contains gacid)
o3x5x3o5/3*b - srawv ditathi
o3x5o3x5/3*b - gwav ditathi
o3o5x3x5/3*b - tahi
x3x5x3o5/3*b - sid tipathi
x3x5o3x5/3*b - gid tipathi
x3o5x3x5/3*b - kavipathi
o3x5x3x5/3*b - hihiquatady
x3x5x3x5/3*b - dohitipady

x3x5o3/2o5/2*b - tidtidohi
x3o5x3/2o5/2*b - (contains cid)
x3o5o3/2x5/2*b - (contains gacid)
o3x5x3/2o5/2*b - srawv ditathi
o3x5o3/2x5/2*b - [Grünbaumian]
o3o5x3/2x5/2*b - [Grünbaumian]
x3x5x3/2o5/2*b - sid tipathi
x3x5o3/2x5/2*b - [Grünbaumian]
x3o5x3/2x5/2*b - [Grünbaumian]
o3x5x3/2x5/2*b - [Grünbaumian]
x3x5x3/2x5/2*b - [Grünbaumian]

x3/2x5o3o5/3*b - [Grünbaumian]
x3/2o5x3o5/3*b - (contains cid)
x3/2o5o3x5/3*b - (contains gacid)
o3/2x5x3o5/3*b - srawv ditathi
o3/2x5o3x5/3*b - gwav ditathi
o3/2o5x3x5/3*b - tahi
x3/2x5x3o5/3*b - [Grünbaumian]
x3/2x5o3x5/3*b - [Grünbaumian]
x3/2o5x3x5/3*b - (contains gicdatrid)
o3/2x5x3x5/3*b - hihiquatady
x3/2x5x3x5/3*b - [Grünbaumian]

x3x5/4o3o5/2*b - tidtidohi
x3o5/4x3o5/2*b - (contains cid)
x3o5/4o3x5/2*b - (contains gacid)
o3x5/4x3o5/2*b - [Grünbaumian]
o3x5/4o3x5/2*b - [Grünbaumian]
o3o5/4x3x5/2*b - tahi
x3x5/4x3o5/2*b - [Grünbaumian]
x3x5/4o3x5/2*b - [Grünbaumian]
x3o5/4x3x5/2*b - (contains gicdatrid)
o3x5/4x3x5/2*b - [Grünbaumian]
x3x5/4x3x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o3/2o5o3/2o5/2*b (µ=870) o3/2o5/4o3o5/2*b (µ=1170) o3o5/4o3/2o5/3*b (µ=1530) o3/2o5/4o3/2o5/3*b (µ=2310)
quasiregulars 
x3/2o5o3/2o5/2*b - dittady
o3/2x5o3/2o5/2*b - ridtidohi
o3/2o5x3/2o5/2*b - (contains cid)
o3/2o5o3/2x5/2*b - (contains gacid)

x3/2o5/4o3o5/2*b - dittady
o3/2x5/4o3o5/2*b - ridtidohi
o3/2o5/4x3o5/2*b - (contains cid)
o3/2o5/4o3x5/2*b - (contains gacid)

x3o5/4o3/2o5/3*b - dittady
o3x5/4o3/2o5/3*b - ridtidohi
o3o5/4x3/2o5/3*b - (contains cid)
o3o5/4o3/2x5/3*b - (contains gacid)

x3/2o5/4o3/2o5/3*b - dittady
o3/2x5/4o3/2o5/3*b - ridtidohi
o3/2o5/4x3/2o5/3*b - (contains cid)
o3/2o5/4o3/2x5/3*b - (contains gacid)
other
Wythoffians 
x3/2x5o3/2o5/2*b - [Grünbaumian]
x3/2o5x3/2o5/2*b - (contains cid)
x3/2o5o3/2x5/2*b - (contains gacid)
o3/2x5x3/2o5/2*b - srawv ditathi
o3/2x5o3/2x5/2*b - [Grünbaumian]
o3/2o5x3/2x5/2*b - [Grünbaumian]
x3/2x5x3/2o5/2*b - [Grünbaumian]
x3/2x5o3/2x5/2*b - [Grünbaumian]
x3/2o5x3/2x5/2*b - [Grünbaumian]
o3/2x5x3/2x5/2*b - [Grünbaumian]
x3/2x5x3/2x5/2*b - [Grünbaumian]

x3/2x5/4o3o5/2*b - [Grünbaumian]
x3/2o5/4x3o5/2*b - (contains cid)
x3/2o5/4o3x5/2*b - (contains gacid)
o3/2x5/4x3o5/2*b - [Grünbaumian]
o3/2x5/4o3x5/2*b - [Grünbaumian]
o3/2o5/4x3x5/2*b - tahi
x3/2x5/4x3o5/2*b - [Grünbaumian]
x3/2x5/4o3x5/2*b - [Grünbaumian]
x3/2o5/4x3x5/2*b - kavipathi
o3/2x5/4x3x5/2*b - [Grünbaumian]
x3/2x5/4x3x5/2*b - [Grünbaumian]

x3x5/4o3/2o5/3*b - tidtidohi
x3o5/4x3/2o5/3*b - (contains cid)
x3o5/4o3/2x5/3*b - (contains gacid)
o3x5/4x3/2o5/3*b - [Grünbaumian]
o3x5/4o3/2x5/3*b - gwav ditathi
o3o5/4x3/2x5/3*b - [Grünbaumian]
x3x5/4x3/2o5/3*b - [Grünbaumian]
x3x5/4o3/2x5/3*b - gid tipathi
x3o5/4x3/2x5/3*b - [Grünbaumian]
o3x5/4x3/2x5/3*b - [Grünbaumian]
x3x5/4x3/2x5/3*b - [Grünbaumian]

x3/2x5/4o3/2o5/3*b - [Grünbaumian]
x3/2o5/4x3/2o5/3*b - (contains cid)
x3/2o5/4o3/2x5/3*b - (contains gacid)
o3/2x5/4x3/2o5/3*b - [Grünbaumian]
o3/2x5/4o3/2x5/3*b - gwav ditathi
o3/2o5/4x3/2x5/3*b - [Grünbaumian]
x3/2x5/4x3/2o5/3*b - [Grünbaumian]
x3/2x5/4o3/2x5/3*b - [Grünbaumian]
x3/2o5/4x3/2x5/3*b - [Grünbaumian]
o3/2x5/4x3/2x5/3*b - [Grünbaumian]
x3/2x5/4x3/2x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o5o5/4o5*b   (up)

  o3o5o5/4o5*b (µ=8) o3o5o5o5/4*b (µ=112) o3/2o5o5o5/4*b (µ=608)
quasiregulars 
x3o5o5/4o5*b - 2fix
   (contains "2gad" as verf)
o3x5o5/4o5*b - (contains "2gad")
o3o5x5/4o5*b - (contains "2gad")

x3o5o5o5/4*b - 2fix
   (contains "2gad" as verf)
o3x5o5o5/4*b - (contains "2gad")
o3o5x5o5/4*b - (contains "2gad")
o3o5o5x5/4*b - (contains "2gad")

x3/2o5o5o5/4*b - 2fix
   (contains "2gad" as verf)
o3/2x5o5o5/4*b - (contains "2gad")
o3/2o5x5o5/4*b - (contains "2gad")
o3/2o5o5x5/4*b - (contains "2gad")
other
Wythoffians 
x3x5o5/4o5*b - (contains "2gad")
x3o5x5/4o5*b - (contains "2gad")
o3x5x5/4o5*b - (contains "2sidhid")
o3o5x5/4x5*b - [Grünbaumian]
x3x5x5/4o5*b - (contains "2sidhid")
x3o5x5/4x5*b - [Grünbaumian]
o3x5x5/4x5*b - [Grünbaumian]
x3x5x5/4x5*b - [Grünbaumian]

x3x5o5o5/4*b - (contains "2gad")
x3o5x5o5/4*b - (contains "2gad")
x3o5o5x5/4*b - (contains "2gad")
o3x5x5o5/4*b - (contains "2sidhid")
o3x5o5x5/4*b - [Grünbaumian]
o3o5x5x5/4*b - (contains "2sidhid")
x3x5x5o5/4*b - (contains "2sidhid")
x3x5o5x5/4*b - [Grünbaumian]
x3o5x5x5/4*b - (contains "2sidhid")
o3x5x5x5/4*b - [Grünbaumian]
x3x5x5x5/4*b - [Grünbaumian]

x3/2x5o5o5/4*b - [Grünbaumian]
x3/2o5x5o5/4*b - (contains "2gad")
x3/2o5o5x5/4*b - (contains "2gad")
o3/2x5x5o5/4*b - (contains "2sidhid")
o3/2x5o5x5/4*b - [Grünbaumian]
o3/2o5x5x5/4*b - (contains "2sidhid")
x3/2x5x5o5/4*b - [Grünbaumian]
x3/2x5o5x5/4*b - [Grünbaumian]
x3/2o5x5x5/4*b - (contains "2sidhid")
o3/2x5x5x5/4*b - [Grünbaumian]
x3/2x5x5x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o3/2o5o5/4o5*b (µ=712) o3o5/4o5/4o5/4*b (µ=2168) o3/2o5/4o5/4o5/4*b (µ=2872)
quasiregulars 
x3/2o5o5/4o5*b - 2fix
   (contains "2gad" as verf)
o3/2x5o5/4o5*b - (contains "2gad")
o3/2o5x5/4o5*b - (contains "2gad")

x3o5/4o5/4o5/4*b - 2fix
   (contains "2gad" as verf)
o3x5/4o5/4o5/4*b - (contains "2gad")
o3o5/4x5/4o5/4*b - (contains "2gad")

x3/2o5/4o5/4o5/4*b - 2fix
   (contains "2gad" as verf)
o3/2x5/4o5/4o5/4*b - (contains "2gad")
o3/2o5/4x5/4o5/4*b - (contains "2gad")
other
Wythoffians 
x3/2x5o5/4o5*b - [Grünbaumian]
x3/2o5x5/4o5*b - (contains "2gad")
o3/2x5x5/4o5*b - (contains "2sidhid")
o3/2o5x5/4x5*b - [Grünbaumian]
x3/2x5x5/4o5*b - [Grünbaumian]
x3/2o5x5/4x5*b - [Grünbaumian]
o3/2x5x5/4x5*b - [Grünbaumian]
x3/2x5x5/4x5*b - [Grünbaumian]

x3x5/4o5/4o5/4*b - (contains "2gad")
x3o5/4x5/4o5/4*b - (contains "2gad")
o3x5/4x5/4o5/4*b - [Grünbaumian]
o3o5/4x5/4x5/4*b - [Grünbaumian]
x3x5/4x5/4o5/4*b - [Grünbaumian]
x3o5/4x5/4x5/4*b - [Grünbaumian]
o3x5/4x5/4x5/4*b - [Grünbaumian]
x3x5/4x5/4x5/4*b - [Grünbaumian]

x3/2x5/4o5/4o5/4*b - [Grünbaumian]
x3/2o5/4x5/4o5/4*b - (contains "2gad")
o3/2x5/4x5/4o5/4*b - [Grünbaumian]
o3/2o5/4x5/4x5/4*b - [Grünbaumian]
x3/2x5/4x5/4o5/4*b - [Grünbaumian]
x3/2o5/4x5/4x5/4*b - [Grünbaumian]
o3/2x5/4x5/4x5/4*b - [Grünbaumian]
x3/2x5/4x5/4x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o5/2o5/2o5/2*b   (up)

  o3o5/2o5/2o5/2*b (µ=152) o3/2o5/2o5/2o5/2*b (µ=568) o3o5/2o5/3o5/3*b (µ=688)
quasiregulars 
x3o5/2o5/2o5/2*b - 2gofix
   (contains "2sissid" as verf)
o3x5/2o5/2o5/2*b - (contains "2sissid")
o3o5/2x5/2o5/2*b - (contains "2sissid")

x3/2o5/2o5/2o5/2*b - 2gofix
   (contains "2sissid" as verf)
o3/2x5/2o5/2o5/2*b - (contains "2sissid")
o3/2o5/2x5/2o5/2*b - (contains "2sissid")

x3o5/2o5/3o5/3*b - 2gofix
   (contains "2sissid" as verf)
o3x5/2o5/3o5/3*b - (contains "2sissid")
o3o5/2x5/3o5/3*b - (contains "2sissid")
o3o5/2o5/3x5/3*b - (contains "2sissid")
other
Wythoffians 
x3x5/2o5/2o5/2*b - (contains "2sissid")
x3o5/2x5/2o5/2*b - (contains "2sissid")
o3x5/2x5/2o5/2*b - [Grünbaumian]
o3o5/2x5/2x5/2*b - [Grünbaumian]
x3x5/2x5/2o5/2*b - [Grünbaumian]
x3o5/2x5/2x5/2*b - [Grünbaumian]
o3x5/2x5/2x5/2*b - [Grünbaumian]
x3x5/2x5/2x5/2*b - [Grünbaumian]

x3/2x5/2o5/2o5/2*b - [Grünbaumian]
x3/2o5/2x5/2o5/2*b - (contains "2sissid")
o3/2x5/2x5/2o5/2*b - [Grünbaumian]
o3/2o5/2x5/2x5/2*b - [Grünbaumian]
x3/2x5/2x5/2o5/2*b - [Grünbaumian]
x3/2o5/2x5/2x5/2*b - [Grünbaumian]
o3/2x5/2x5/2x5/2*b - [Grünbaumian]
x3/2x5/2x5/2x5/2*b - [Grünbaumian]

x3x5/2o5/3o5/3*b - (contains "2sissid")
x3o5/2x5/3o5/3*b - (contains "2sissid")
x3o5/2o5/3x5/3*b - (contains "2sissid")
o3x5/2x5/3o5/3*b - [Grünbaumian]
o3x5/2o5/3x5/3*b - (contains "2gidhid")
o3o5/2x5/3x5/3*b - (contains "2gidhid")
x3x5/2x5/3o5/3*b - [Grünbaumian]
x3x5/2o5/3x5/3*b - (contains "2gidhid")
x3o5/2x5/3x5/3*b - (contains sicdatrid)
o3x5/2x5/3x5/3*b - [Grünbaumian]
x3x5/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o3o5/3o5/2o5/3*b (µ=872) o3/2o5/3o5/2o5/3*b (µ=1288) o3/2o5/2o5/3o5/3*b (µ=1472)
quasiregulars 
x3o5/3o5/2o5/3*b - 2gofix
   (contains "2sissid" as verf)
o3x5/3o5/2o5/3*b - (contains "2sissid")
o3o5/3x5/2o5/3*b - (contains "2sissid")

x3/2o5/3o5/2o5/3*b - 2gofix
   (contains "2sissid" as verf)
o3/2x5/3o5/2o5/3*b - (contains "2sissid")
o3/2o5/3x5/2o5/3*b - (contains "2sissid")

x3/2o5/2o5/3o5/3*b - 2gofix
   (contains "2sissid" as verf)
o3/2x5/2o5/3o5/3*b - (contains "2sissid")
o3/2o5/2x5/3o5/3*b - (contains "2sissid")
o3/2o5/2o5/3x5/3*b - (contains "2sissid")
other
Wythoffians 
x3x5/3o5/2o5/3*b - (contains "2sissid")
x3o5/3x5/2o5/3*b - (contains "2sissid")
o3x5/3x5/2o5/3*b - (contains "2gidhid")
o3o5/3x5/2x5/3*b - [Grünbaumian]
x3x5/3x5/2o5/3*b - (contains "2gidhid")
x3o5/3x5/2x5/3*b - [Grünbaumian]
o3x5/3x5/2x5/3*b - [Grünbaumian]
x3x5/3x5/2x5/3*b - [Grünbaumian]

x3/2x5/3o5/2o5/3*b - [Grünbaumian]
x3/2o5/3x5/2o5/3*b - (contains "2sissid")
o3/2x5/3x5/2o5/3*b - (contains "2gidhid")
o3/2o5/3x5/2x5/3*b - [Grünbaumian]
x3/2x5/3x5/2o5/3*b - [Grünbaumian]
x3/2o5/3x5/2x5/3*b - [Grünbaumian]
o3/2x5/3x5/2x5/3*b - [Grünbaumian]
x3/2x5/3x5/2x5/3*b - [Grünbaumian]

x3/2x5/2o5/3o5/3*b - [Grünbaumian]
x3/2o5/2x5/3o5/3*b - (contains "2sissid")
x3/2o5/2o5/3x5/3*b - (contains "2sissid")
o3/2x5/2x5/3o5/3*b - [Grünbaumian]
o3/2x5/2o5/3x5/3*b - (contains "2gidhid")
o3/2o5/2x5/3x5/3*b - (contains "2gidhid")
x3/2x5/2x5/3o5/3*b - [Grünbaumian]
x3/2x5/2o5/3x5/3*b - [Grünbaumian]
x3/2o5/2x5/3x5/3*b - (contains sicdatrid)
o3/2x5/2x5/3x5/3*b - [Grünbaumian]
x3/2x5/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5o3o3/2o3*b   (up)

  o5o3o3/2o3*b (µ=2) o5o3o3o3/2*b (µ=118) o5/4o3o3o3/2*b (µ=1082)
quasiregulars 
x5o3o3/2o3*b - 2hi
   (contains f-"2tet" as verf)
o5x3o3/2o3*b - (contains "2tet")
o5o3x3/2o3*b - (contains "2tet")

x5o3o3o3/2*b - 2hi
   (contains f-"2tet" as verf)
o5x3o3o3/2*b - (contains "2tet")
o5o3x3o3/2*b - (contains "2tet")
o5o3o3x3/2*b - (contains "2tet")

x5/4o3o3o3/2*b - 2hi
   (contains f-"2tet" as verf)
o5/4x3o3o3/2*b - (contains "2tet")
o5/4o3x3o3/2*b - (contains "2tet")
o5/4o3o3x3/2*b - (contains "2tet")
other
Wythoffians 
x5x3o3/2o3*b - (contains "2tet")
x5o3x3/2o3*b - sirdtapady+600 2tet
   (contains "2tet")
o5x3x3/2o3*b - srawv hixhi
o5o3x3/2x3*b - [Grünbaumian]
x5x3x3/2o3*b - spixhihy
x5o3x3/2x3*b - [Grünbaumian]
o5x3x3/2x3*b - [Grünbaumian]
x5x3x3/2x3*b - [Grünbaumian]

x5x3o3o3/2*b - (contains "2tet")
x5o3x3o3/2*b - sirdtapady+600 2tet
   (contains "2tet")
x5o3o3x3/2*b - (contains gicdatrid)
o5x3x3o3/2*b - srawv hixhi
o5x3o3x3/2*b - [Grünbaumian]
o5o3x3x3/2*b - 2gifdahihox
x5x3x3o3/2*b - spixhihy
x5x3o3x3/2*b - [Grünbaumian]
x5o3x3x3/2*b - (contains gicdatrid)
o5x3x3x3/2*b - [Grünbaumian]
x5x3x3x3/2*b - [Grünbaumian]

x5/4x3o3o3/2*b - [Grünbaumian]
x5/4o3x3o3/2*b - (contains gicdatrid)
x5/4o3o3x3/2*b - sirdtapady+600 2tet
   (contains "2tet")
o5/4x3x3o3/2*b - srawv hixhi
o5/4x3o3x3/2*b - [Grünbaumian]
o5/4o3x3x3/2*b - 2gifdahihox
x5/4x3x3o3/2*b - [Grünbaumian]
x5/4x3o3x3/2*b - [Grünbaumian]
x5/4o3x3x3/2*b - (contains gicdatrid)
o5/4x3x3x3/2*b - [Grünbaumian]
x5/4x3x3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o5/4o3o3/2o3*b (µ=1198) o5o3/2o3/2o3/2*b (µ=1202) o5/4o3/2o3/2o3/2*b (µ=2398)
quasiregulars 
x5/4o3o3/2o3*b - 2hi
   (contains f-"2tet" as verf)
o5/4x3o3/2o3*b - (contains "2tet")
o5/4o3x3/2o3*b - (contains "2tet")

x5o3/2o3/2o3/2*b - 2hi
   (contains f-"2tet" as verf)
o5x3/2o3/2o3/2*b - (contains "2tet")
o5o3/2x3/2o3/2*b - (contains "2tet")

x5/4o3/2o3/2o3/2*b - 2hi
   (contains f-"2tet" as verf)
o5/4x3/2o3/2o3/2*b - (contains "2tet")
o5/4o3/2x3/2o3/2*b - (contains "2tet")
other
Wythoffians 
x5/4x3o3/2o3*b - [Grünbaumian]
x5/4o3x3/2o3*b - (contains gicdatrid)
o5/4x3x3/2o3*b - srawv hixhi
o5/4o3x3/2x3*b - [Grünbaumian]
x5/4x3x3/2o3*b - [Grünbaumian]
x5/4o3x3/2x3*b - [Grünbaumian]
o5/4x3x3/2x3*b - [Grünbaumian]
x5/4x3x3/2x3*b - [Grünbaumian]

x5x3/2o3/2o3/2*b - (contains "2tet")
x5o3/2x3/2o3/2*b - (contains gicdatrid)
o5x3/2x3/2o3/2*b - [Grünbaumian]
o5o3/2x3/2x3/2*b - [Grünbaumian]
x5x3/2x3/2o3/2*b - [Grünbaumian]
x5o3/2x3/2x3/2*b - [Grünbaumian]
o5x3/2x3/2x3/2*b - [Grünbaumian]
x5x3/2x3/2x3/2*b - [Grünbaumian]

x5/4x3/2o3/2o3/2*b - [Grünbaumian]
x5/4o3/2x3/2o3/2*b - sirdtapady+600 2tet
   (contains "2tet")
o5/4x3/2x3/2o3/2*b - [Grünbaumian]
o5/4o3/2x3/2x3/2*b - [Grünbaumian]
x5/4x3/2x3/2o3/2*b - [Grünbaumian]
x5/4o3/2x3/2x3/2*b - [Grünbaumian]
o5/4x3/2x3/2x3/2*b - [Grünbaumian]
x5/4x3/2x3/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o3o3/2o3*b   (up)

  o5/2o3o3/2o3*b (µ=382) o5/2o3o3o3/2*b (µ=458) o5/3o3o3o3/2*b (µ=742)
quasiregulars 
x5/2o3o3/2o3*b - 2gogishi
   (contains v-"2tet" as verf)
o5/2x3o3/2o3*b - (contains "2tet")
o5/2o3x3/2o3*b - (contains "2tet")

x5/2o3o3o3/2*b - 2gogishi
   (contains v-"2tet" as verf)
o5/2x3o3o3/2*b - (contains "2tet")
o5/2o3x3o3/2*b - (contains "2tet")
o5/2o3o3x3/2*b - (contains "2tet")

x5/3o3o3o3/2*b - 2gogishi
   (contains v-"2tet" as verf)
o5/3x3o3o3/2*b - (contains "2tet")
o5/3o3x3o3/2*b - (contains "2tet")
o5/3o3o3x3/2*b - (contains "2tet")
other
Wythoffians 
x5/2x3o3/2o3*b - [Grünbaumian]
x5/2o3x3/2o3*b - (contains sicdatrid)
o5/2x3x3/2o3*b - garawv hixhi
o5/2o3x3/2x3*b - [Grünbaumian]
x5/2x3x3/2o3*b - [Grünbaumian]
x5/2o3x3/2x3*b - [Grünbaumian]
o5/2x3x3/2x3*b - [Grünbaumian]
x5/2x3x3/2x3*b - [Grünbaumian]

x5/2x3o3o3/2*b - [Grünbaumian]
x5/2o3x3o3/2*b - (contains sicdatrid)
x5/2o3o3x3/2*b - gadathiphi+600 2tet
   (contains "2tet")
o5/2x3x3o3/2*b - garawv hixhi
o5/2x3o3x3/2*b - [Grünbaumian]
o5/2o3x3x3/2*b - 2sifdahihox
x5/2x3x3o3/2*b - [Grünbaumian]
x5/2x3o3x3/2*b - [Grünbaumian]
x5/2o3x3x3/2*b - (contains sicdatrid)
o5/2x3x3x3/2*b - [Grünbaumian]
x5/2x3x3x3/2*b - [Grünbaumian]

x5/3x3o3o3/2*b - (contains "2tet")
x5/3o3x3o3/2*b - gadathiphi+600 2tet
   (contains "2tet")
x5/3o3o3x3/2*b - (contains sicdatrid)
o5/3x3x3o3/2*b - garawv hixhi
o5/3x3o3x3/2*b - [Grünbaumian]
o5/3o3x3x3/2*b - 2sifdahihox
x5/3x3x3o3/2*b - gippixhihy
x5/3x3o3x3/2*b - [Grünbaumian]
x5/3o3x3x3/2*b - (contains sicdatrid)
o5/3x3x3x3/2*b - [Grünbaumian]
x5/3x3x3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o5/3o3o3/2o3*b (µ=818) o5/2o3/2o3/2o3/2*b (µ=1582) o5/3o3/2o3/2o3/2*b (µ=2018)
quasiregulars 
x5/3o3o3/2o3*b - 2gogishi
   (contains v-"2tet" as verf)
o5/3x3o3/2o3*b - (contains "2tet")
o5/3o3x3/2o3*b - (contains "2tet")

x5/2o3/2o3/2o3/2*b - 2gogishi
   (contains v-"2tet" as verf)
o5/2x3/2o3/2o3/2*b - (contains "2tet")
o5/2o3/2x3/2o3/2*b - (contains "2tet")

x5/3o3/2o3/2o3/2*b - 2gogishi
   (contains v-"2tet" as verf)
o5/3x3/2o3/2o3/2*b - (contains "2tet")
o5/3o3/2x3/2o3/2*b - (contains "2tet")
other
Wythoffians 
x5/3x3o3/2o3*b - (contains "2tet")
x5/3o3x3/2o3*b - gadathiphi+600 2tet
   (contains "2tet")
o5/3x3x3/2o3*b - garawv hixhi
o5/3o3x3/2x3*b - [Grünbaumian]
x5/3x3x3/2o3*b - gippixhihy
x5/3o3x3/2x3*b - [Grünbaumian]
o5/3x3x3/2x3*b - [Grünbaumian]
x5/3x3x3/2x3*b - [Grünbaumian]

x5/2x3/2o3/2o3/2*b - [Grünbaumian]
x5/2o3/2x3/2o3/2*b - gadathiphi+600 2tet
   (contains "2tet")
o5/2x3/2x3/2o3/2*b - [Grünbaumian]
o5/2o3/2x3/2x3/2*b - [Grünbaumian]
x5/2x3/2x3/2o3/2*b - [Grünbaumian]
x5/2o3/2x3/2x3/2*b - [Grünbaumian]
o5/2x3/2x3/2x3/2*b - [Grünbaumian]
x5/2x3/2x3/2x3/2*b - [Grünbaumian]

x5/3x3/2o3/2o3/2*b - (contains "2tet")
x5/3o3/2x3/2o3/2*b - (contains sicdatrid)
o5/3x3/2x3/2o3/2*b - [Grünbaumian]
o5/3o3/2x3/2x3/2*b - [Grünbaumian]
x5/3x3/2x3/2o3/2*b - [Grünbaumian]
x5/3o3/2x3/2x3/2*b - [Grünbaumian]
o5/3x3/2x3/2x3/2*b - [Grünbaumian]
x5/3x3/2x3/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5o3o5/4o3*b   (up)

  o5o3o5/4o3*b (µ=40) o5o3o5o3/2*b (µ=80) o5/4o3o5o3/2*b (µ=640)
quasiregulars 
x5o3o5/4o3*b - 2gahi
   (contains f-"2gike" as verf)
o5x3o5/4o3*b - (contains "2gike")
o5o3x5/4o3*b - gitpodady

x5o3o5o3/2*b - 2gahi
   (contains f-"2gike" as verf)
o5x3o5o3/2*b - (contains "2gike")
o5o3x5o3/2*b - gitpodady
o5o3o5x3/2*b - gitpodady

x5/4o3o5o3/2*b - 2gahi
   (contains f-"2gike" as verf)
o5/4x3o5o3/2*b - (contains "2gike")
o5/4o3x5o3/2*b - gitpodady
o5/4o3o5x3/2*b - gitpodady
other
Wythoffians 
x5x3o5/4o3*b - (contains "2gike")
x5o3x5/4o3*b - sedit pathi
o5x3x5/4o3*b - grawvathi
o5o3x5/4x3*b - [Grünbaumian]
x5x3x5/4o3*b - ghipady
x5o3x5/4x3*b - [Grünbaumian]
o5x3x5/4x3*b - [Grünbaumian]
x5x3x5/4x3*b - [Grünbaumian]

x5x3o5o3/2*b - (contains "2gike")
x5o3x5o3/2*b - sedit pathi
x5o3o5x3/2*b - (contains gicdatrid)
o5x3x5o3/2*b - grawvathi
o5x3o5x3/2*b - [Grünbaumian]
o5o3x5x3/2*b - (contains "2seihid")
x5x3x5o3/2*b - ghipady
x5x3o5x3/2*b - [Grünbaumian]
x5o3x5x3/2*b - (contains gicdatrid)
o5x3x5x3/2*b - [Grünbaumian]
x5x3x5x3/2*b - [Grünbaumian]

x5/4x3o5o3/2*b - [Grünbaumian]
x5/4o3x5o3/2*b - (contains gicdatrid)
x5/4o3o5x3/2*b - sedit pathi
o5/4x3x5o3/2*b - grawvathi
o5/4x3o5x3/2*b - [Grünbaumian]
o5/4o3x5x3/2*b - (contains "2seihid")
x5/4x3x5o3/2*b - [Grünbaumian]
x5/4x3o5x3/2*b - [Grünbaumian]
x5/4o3x5x3/2*b - (contains gicdatrid)
o5/4x3x5x3/2*b - [Grünbaumian]
x5/4x3x5x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o5o3/2o5/4o3/2*b (µ=1240) o5/4o3o5/4o3*b (µ=1640) o5/4o3/2o5/4o3/2*b (µ=2840)
quasiregulars 
x5o3/2o5/4o3/2*b - 2gahi
   (contains f-"2gike" as verf)
o5x3/2o5/4o3/2*b - (contains "2gike")
o5o3/2x5/4o3/2*b - gitpodady

x5/4o3o5/4o3*b - 2gahi
   (contains f-"2gike" as verf)
o5/4x3o5/4o3*b - (contains "2gike")
o5/4o3x5/4o3*b - gitpodady

x5/4o3/2o5/4o3/2*b - 2gahi
   (contains f-"2gike" as verf)
o5/4x3/2o5/4o3/2*b - (contains "2gike")
o5/4o3/2x5/4o3/2*b - gitpodady
other
Wythoffians 
x5x3/2o5/4o3/2*b - (contains "2gike")
x5o3/2x5/4o3/2*b - (contains gicdatrid)
o5x3/2x5/4o3/2*b - [Grünbaumian]
o5o3/2x5/4x3/2*b - [Grünbaumian]
x5x3/2x5/4o3/2*b - [Grünbaumian]
x5o3/2x5/4x3/2*b - [Grünbaumian]
o5x3/2x5/4x3/2*b - [Grünbaumian]
x5x3/2x5/4x3/2*b - [Grünbaumian]

x5/4x3o5/4o3*b - [Grünbaumian]
x5/4o3x5/4o3*b - (contains gicdatrid)
o5/4x3x5/4o3*b - grawvathi
o5/4o3x5/4x3*b - [Grünbaumian]
x5/4x3x5/4o3*b - [Grünbaumian]
x5/4o3x5/4x3*b - [Grünbaumian]
o5/4x3x5/4x3*b - [Grünbaumian]
x5/4x3x5/4x3*b - [Grünbaumian]

x5/4x3/2o5/4o3/2*b - [Grünbaumian]
x5/4o3/2x5/4o3/2*b - sedit pathi
o5/4x3/2x5/4o3/2*b - [Grünbaumian]
o5/4o3/2x5/4x3/2*b - [Grünbaumian]
x5/4x3/2x5/4o3/2*b - [Grünbaumian]
x5/4o3/2x5/4x3/2*b - [Grünbaumian]
o5/4x3/2x5/4x3/2*b - [Grünbaumian]
x5/4x3/2x5/4x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o3o5/2o3*b   (up)

  o5/2o3o5/2o3*b (µ=40) o5/3o3o5/2o3*b (µ=200) o5/2o3o5/3o3/2*b (µ=800)
quasiregulars 
x5/2o3o5/2o3*b - 2gishi
   (contains v-"2ike" as verf)
o5/2x3o5/2o3*b - (contains "2ike")
o5/2o3x5/2o3*b - sitpodady

x5/3o3o5/2o3*b - 2gishi
   (contains v-"2ike" as verf)
o5/3x3o5/2o3*b - (contains "2ike")
o5/3o3x5/2o3*b - sitpodady

x5/2o3o5/3o3/2*b - 2gishi
   (contains v-"2ike" as verf)
o5/2x3o5/3o3/2*b - (contains "2ike")
o5/2o3x5/3o3/2*b - sitpodady
o5/2o3o5/3x3/2*b - sitpodady
other
Wythoffians 
x5/2x3o5/2o3*b - [Grünbaumian]
x5/2o3x5/2o3*b - (contains sicdatrid)
o5/2x3x5/2o3*b - swavathi
o5/2o3x5/2x3*b - [Grünbaumian]
x5/2x3x5/2o3*b - [Grünbaumian]
x5/2o3x5/2x3*b - [Grünbaumian]
o5/2x3x5/2x3*b - [Grünbaumian]
x5/2x3x5/2x3*b - [Grünbaumian]

x5/3x3o5/2o3*b - (contains "2ike")
x5/3o3x5/2o3*b - gaedit pathi
o5/3x3x5/2o3*b - swavathi
o5/3o3x5/2x3*b - [Grünbaumian]
x5/3x3x5/2o3*b - shipady
x5/3o3x5/2x3*b - [Grünbaumian]
o5/3x3x5/2x3*b - [Grünbaumian]
x5/3x3x5/2x3*b - [Grünbaumian]

x5/2x3o5/3o3/2*b - [Grünbaumian]
x5/2o3x5/3o3/2*b - (contains sicdatrid)
x5/2o3o5/3x3/2*b - gaedit pathi
o5/2x3x5/3o3/2*b - swavathi
o5/2x3o5/3x3/2*b - [Grünbaumian]
o5/2o3x5/3x3/2*b - (contains "2geihid")
x5/2x3x5/3o3/2*b - [Grünbaumian]
x5/2x3o5/3x3/2*b - [Grünbaumian]
x5/2o3x5/3x3/2*b - (contains sicdatrid)
o5/2x3x5/3x3/2*b - [Grünbaumian]
x5/2x3x5/3x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o5/2o3/2o5/2o3/2*b (µ=1240) o5/3o3o5/3o3/2*b (µ=1360) o5/3o3/2o5/2o3/2*b (µ=1400)
quasiregulars 
x5/2o3/2o5/2o3/2*b - 2gishi
   (contains v-"2ike" as verf)
o5/2x3/2o5/2o3/2*b - (contains "2ike")
o5/2o3/2x5/2o3/2*b - sitpodady

x5/3o3o5/3o3/2*b - 2gishi
   (contains v-"2ike" as verf)
o5/3x3o5/3o3/2*b - (contains "2ike")
o5/3o3x5/3o3/2*b - sitpodady
o5/3o3o5/3x3/2*b - sitpodady

x5/3o3/2o5/2o3/2*b - 2gishi
   (contains v-"2ike" as verf)
o5/3x3/2o5/2o3/2*b - (contains "2ike")
o5/3o3/2x5/2o3/2*b - sitpodady
other
Wythoffians 
x5/2x3/2o5/2o3/2*b - [Grünbaumian]
x5/2o3/2x5/2o3/2*b - gaedit pathi
o5/2x3/2x5/2o3/2*b - [Grünbaumian]
o5/2o3/2x5/2x3/2*b - [Grünbaumian]
x5/2x3/2x5/2o3/2*b - [Grünbaumian]
x5/2o3/2x5/2x3/2*b - [Grünbaumian]
o5/2x3/2x5/2x3/2*b - [Grünbaumian]
x5/2x3/2x5/2x3/2*b - [Grünbaumian]

x5/3x3o5/3o3/2*b - (contains "2ike")
x5/3o3x5/3o3/2*b - gaedit pathi
x5/3o3o5/3x3/2*b - (contains sicdatrid)
o5/3x3x5/3o3/2*b - swavathi
o5/3x3o5/3x3/2*b - [Grünbaumian]
o5/3o3x5/3x3/2*b - (contains "2geihid")
x5/3x3x5/3o3/2*b - shipady
x5/3x3o5/3x3/2*b - [Grünbaumian]
x5/3o3x5/3x3/2*b - (contains sicdatrid)
o5/3x3x5/3x3/2*b - [Grünbaumian]
x5/3x3x5/3x3/2*b - [Grünbaumian]

x5/3x3/2o5/2o3/2*b - (contains "2ike")
x5/3o3/2x5/2o3/2*b - (contains sicdatrid)
o5/3x3/2x5/2o3/2*b - [Grünbaumian]
o5/3o3/2x5/2x3/2*b - [Grünbaumian]
x5/3x3/2x5/2o3/2*b - [Grünbaumian]
x5/3o3/2x5/2x3/2*b - [Grünbaumian]
o5/3x3/2x5/2x3/2*b - [Grünbaumian]
x5/3x3/2x5/2x3/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5o3o5o5/3*b   (up)

  o5o3o5o5/3*b (µ=14) o5o3o5/4o5/2*b (µ=106) o5o3/2o5o5/2*b (µ=254) o5/4o3o5o5/3*b (µ=466)
quasiregulars 
x5o3o5o5/3*b - gahi+gohi
   (contains f-gacid as verf)
o5x3o5o5/3*b - (contains gacid)
o5o3x5o5/3*b - (contains cid)
o5o3o5x5/3*b - sishi+idhi

x5o3o5/4o5/2*b - gahi+gohi
   (contains f-gacid as verf)
o5x3o5/4o5/2*b - (contains gacid)
o5o3x5/4o5/2*b - (contains cid)
o5o3o5/4x5/2*b - sishi+idhi

x5o3/2o5o5/2*b - gahi+gohi
   (contains f-gacid as verf)
o5x3/2o5o5/2*b - (contains gacid)
o5o3/2x5o5/2*b - (contains cid)
o5o3/2o5x5/2*b - sishi+idhi

x5/4o3o5o5/3*b - gahi+gohi
   (contains f-gacid as verf)
o5/4x3o5o5/3*b - (contains gacid)
o5/4o3x5o5/3*b - (contains cid)
o5/4o3o5x5/3*b - sishi+idhi
other
Wythoffians 
x5x3o5o5/3*b - (contains gacid)
x5o3x5o5/3*b - (contains cid)
x5o3o5x5/3*b - (contains cadditradid)
o5x3x5o5/3*b - srawv hidy
o5x3o5x5/3*b - swav ditathi
o5o3x5x5/3*b - sisdipthi
x5x3x5o5/3*b - siphidy
x5x3o5x5/3*b - gid thipady
x5o3x5x5/3*b - (contains cadditradid)
o5x3x5x5/3*b - dahiquatady
x5x3x5x5/3*b - sidhiquit paddy

x5x3o5/4o5/2*b - (contains gacid)
x5o3x5/4o5/2*b - (contains cid)
x5o3o5/4x5/2*b - seedatepthi
o5x3x5/4o5/2*b - srawv hidy
o5x3o5/4x5/2*b - [Grünbaumian]
o5o3x5/4x5/2*b - [Grünbaumian]
x5x3x5/4o5/2*b - siphidy
x5x3o5/4x5/2*b - [Grünbaumian]
x5o3x5/4x5/2*b - [Grünbaumian]
o5x3x5/4x5/2*b - [Grünbaumian]
x5x3x5/4x5/2*b - [Grünbaumian]

x5x3/2o5o5/2*b - (contains gacid)
x5o3/2x5o5/2*b - (contains cid)
x5o3/2o5x5/2*b - seedatepthi
o5x3/2x5o5/2*b - [Grünbaumian]
o5x3/2o5x5/2*b - [Grünbaumian]
o5o3/2x5x5/2*b - sisdipthi
x5x3/2x5o5/2*b - [Grünbaumian]
x5x3/2o5x5/2*b - [Grünbaumian]
x5o3/2x5x5/2*b - (contains gicdatrid)
o5x3/2x5x5/2*b - [Grünbaumian]
x5x3/2x5x5/2*b - [Grünbaumian]

x5/4x3o5o5/3*b - [Grünbaumian]
x5/4o3x5o5/3*b - (contains cid)
x5/4o3o5x5/3*b - seedatepthi
o5/4x3x5o5/3*b - srawv hidy
o5/4x3o5x5/3*b - swav ditathi
o5/4o3x5x5/3*b - sisdipthi
x5/4x3x5o5/3*b - [Grünbaumian]
x5/4x3o5x5/3*b - [Grünbaumian]
x5/4o3x5x5/3*b - (contains gicdatrid)
o5/4x3x5x5/3*b - dahiquatady
x5/4x3x5x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o5/4o3/2o5o5/2*b (µ=706) o5o3/2o5/4o5/3*b (µ=1066) o5/4o3o5/4o5/2*b (µ=1814) o5/4o3/2o5/4o5/3*b (µ=2774)
quasiregulars 
x5/4o3/2o5o5/2*b - gahi+gohi
   (contains f-gacid as verf)
o5/4x3/2o5o5/2*b - (contains gacid)
o5/4o3/2x5o5/2*b - (contains cid)
o5/4o3/2o5x5/2*b - sishi+idhi

x5o3/2o5/4o5/3*b - gahi+gohi
   (contains f-gacid as verf)
o5x3/2o5/4o5/3*b - (contains gacid)
o5o3/2x5/4o5/3*b - (contains cid)
o5o3/2o5/4x5/3*b - sishi+idhi

x5/4o3o5/4o5/2*b - gahi+gohi
   (contains f-gacid as verf)
o5/4x3o5/4o5/2*b - (contains gacid)
o5/4o3x5/4o5/2*b - (contains cid)
o5/4o3o5/4x5/2*b - sishi+idhi

x5/4o3/2o5/4o5/3*b - gahi+gohi
   (contains f-gacid as verf)
o5/4x3/2o5/4o5/3*b - (contains gacid)
o5/4o3/2x5/4o5/3*b - (contains cid)
o5/4o3/2o5/4x5/3*b - sishi+idhi
other
Wythoffians 
x5/4x3/2o5o5/2*b - [Grünbaumian]
x5/4o3/2x5o5/2*b - (contains cid)
x5/4o3/2o5x5/2*b - (contains cadditradid)
o5/4x3/2x5o5/2*b - [Grünbaumian]
o5/4x3/2o5x5/2*b - [Grünbaumian]
o5/4o3/2x5x5/2*b - sisdipthi
x5/4x3/2x5o5/2*b - [Grünbaumian]
x5/4x3/2o5x5/2*b - [Grünbaumian]
x5/4o3/2x5x5/2*b - (contains cadditradid)
o5/4x3/2x5x5/2*b - [Grünbaumian]
x5/4x3/2x5x5/2*b - [Grünbaumian]

x5x3/2o5/4o5/3*b - (contains gacid)
x5o3/2x5/4o5/3*b - (contains cid)
x5o3/2o5/4x5/3*b - (contains cadditradid)
o5x3/2x5/4o5/3*b - [Grünbaumian]
o5x3/2o5/4x5/3*b - swav ditathi
o5o3/2x5/4x5/3*b - [Grünbaumian]
x5x3/2x5/4o5/3*b - [Grünbaumian]
x5x3/2o5/4x5/3*b - gid thipady
x5o3/2x5/4x5/3*b - [Grünbaumian]
o5x3/2x5/4x5/3*b - [Grünbaumian]
x5x3/2x5/4x5/3*b - [Grünbaumian]

x5/4x3o5/4o5/2*b - [Grünbaumian]
x5/4o3x5/4o5/2*b - (contains cid)
x5/4o3o5/4x5/2*b - (contains cadditradid)
o5/4x3x5/4o5/2*b - srawv hidy
o5/4x3o5/4x5/2*b - [Grünbaumian]
o5/4o3x5/4x5/2*b - [Grünbaumian]
x5/4x3x5/4o5/2*b - [Grünbaumian]
x5/4x3o5/4x5/2*b - [Grünbaumian]
x5/4o3x5/4x5/2*b - [Grünbaumian]
o5/4x3x5/4x5/2*b - [Grünbaumian]
x5/4x3x5/4x5/2*b - [Grünbaumian]

x5/4x3/2o5/4o5/3*b - [Grünbaumian]
x5/4o3/2x5/4o5/3*b - (contains cid)
x5/4o3/2o5/4x5/3*b - seedatepthi
o5/4x3/2x5/4o5/3*b - [Grünbaumian]
o5/4x3/2o5/4x5/3*b - swav ditathi
o5/4o3/2x5/4x5/3*b - [Grünbaumian]
x5/4x3/2x5/4o5/3*b - [Grünbaumian]
x5/4x3/2o5/4x5/3*b - [Grünbaumian]
x5/4o3/2x5/4x5/3*b - [Grünbaumian]
o5/4x3/2x5/4x5/3*b - [Grünbaumian]
x5/4x3/2x5/4x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o3o5/3o5*b   (up)

  o5/2o3o5/3o5*b (µ=86) o5/2o3/2o5/2o5*b (µ=274) o5/3o3o5/3o5*b (µ=394) o5/3o3/2o5/2o5*b (µ=686)
quasiregulars 
x5/2o3o5/3o5*b - gishi+gashi
   (contains v-cid as verf)
o5/2x3o5/3o5*b - (contains cid)
o5/2o3x5/3o5*b - (contains gacid)
o5/2o3o5/3x5*b - gaghi+idhi

x5/2o3/2o5/2o5*b - gishi+gashi
   (contains v-cid as verf)
o5/2x3/2o5/2o5*b - (contains cid)
o5/2o3/2x5/2o5*b - (contains gacid)
o5/2o3/2o5/2x5*b - gaghi+idhi

x5/3o3o5/3o5*b - gishi+gashi
   (contains v-cid as verf)
o5/3x3o5/3o5*b - (contains cid)
o5/3o3x5/3o5*b - (contains gacid)
o5/3o3o5/3x5*b - gaghi+idhi

x5/3o3/2o5/2o5*b - gishi+gashi
   (contains v-cid as verf)
o5/3x3/2o5/2o5*b - (contains cid)
o5/3o3/2x5/2o5*b - (contains gacid)
o5/3o3/2o5/2x5*b - gaghi+idhi
other
Wythoffians 
x5/2x3o5/3o5*b - [Grünbaumian]
x5/2o3x5/3o5*b - (contains gacid)
x5/2o3o5/3x5*b - geedatepthi
o5/2x3x5/3o5*b - grawv hidy
o5/2x3o5/3x5*b - grawv ditathi
o5/2o3x5/3x5*b - gisdipthi
x5/2x3x5/3o5*b - [Grünbaumian]
x5/2x3o5/3x5*b - [Grünbaumian]
x5/2o3x5/3x5*b - (contains sicdatrid)
o5/2x3x5/3x5*b - dahitady
x5/2x3x5/3x5*b - [Grünbaumian]

x5/2x3/2o5/2o5*b - [Grünbaumian]
x5/2o3/2x5/2o5*b - (contains gacid)
x5/2o3/2o5/2x5*b - geedatepthi
o5/2x3/2x5/2o5*b - [Grünbaumian]
o5/2x3/2o5/2x5*b - grawv ditathi
o5/2o3/2x5/2x5*b - [Grünbaumian]
x5/2x3/2x5/2o5*b - [Grünbaumian]
x5/2x3/2o5/2x5*b - [Grünbaumian]
x5/2o3/2x5/2x5*b - [Grünbaumian]
o5/2x3/2x5/2x5*b - [Grünbaumian]
x5/2x3/2x5/2x5*b - [Grünbaumian]

x5/3x3o5/3o5*b - (contains cid)
x5/3o3x5/3o5*b - (contains gacid)
x5/3o3o5/3x5*b - (contains cadditradid)
o5/3x3x5/3o5*b - grawv hidy
o5/3x3o5/3x5*b - grawv ditathi
o5/3o3x5/3x5*b - gisdipthi
x5/3x3x5/3o5*b - giphidy
x5/3x3o5/3x5*b - sid thipady
x5/3o3x5/3x5*b - (contains cadditradid)
o5/3x3x5/3x5*b - dahitady
x5/3x3x5/3x5*b - gidhiquit paddy

x5/3x3/2o5/2o5*b - (contains cid)
x5/3o3/2x5/2o5*b - (contains gacid)
x5/3o3/2o5/2x5*b - (contains cadditradid)
o5/3x3/2x5/2o5*b - [Grünbaumian]
o5/3x3/2o5/2x5*b - grawv ditathi
o5/3o3/2x5/2x5*b - [Grünbaumian]
x5/3x3/2x5/2o5*b - [Grünbaumian]
x5/3x3/2o5/2x5*b - sid thipady
x5/3o3/2x5/2x5*b - [Grünbaumian]
o5/3x3/2x5/2x5*b - [Grünbaumian]
x5/3x3/2x5/2x5*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o5/2o3o5/2o5/4*b (µ=754) o5/3o3o5/2o5/4*b (µ=1166) o5/2o3/2o5/3o5/4*b (µ=1766) o5/3o3/2o5/3o5/4*b (µ=2074)
quasiregulars 
x5/2o3o5/2o5/4*b - gishi+gashi
   (contains v-cid as verf)
o5/2x3o5/2o5/4*b - (contains cid)
o5/2o3x5/2o5/4*b - (contains gacid)
o5/2o3o5/2x5/4*b - gaghi+idhi

x5/3o3o5/2o5/4*b - gishi+gashi
   (contains v-cid as verf)
o5/3x3o5/2o5/4*b - (contains cid)
o5/3o3x5/2o5/4*b - (contains gacid)
o5/3o3o5/2x5/4*b - gaghi+idhi

x5/2o3/2o5/3o5/4*b - gishi+gashi
   (contains v-cid as verf)
o5/2x3/2o5/3o5/4*b - (contains cid)
o5/2o3/2x5/3o5/4*b - (contains gacid)
o5/2o3/2o5/3x5/4*b - gaghi+idhi

x5/3o3/2o5/3o5/4*b - gishi+gashi
   (contains v-cid as verf)
o5/3x3/2o5/3o5/4*b - (contains cid)
o5/3o3/2x5/3o5/4*b - (contains gacid)
o5/3o3/2o5/3x5/4*b - gaghi+idhi
other
Wythoffians 
x5/2x3o5/2o5/4*b - [Grünbaumian]
x5/2o3x5/2o5/4*b - (contains gacid)
x5/2o3o5/2x5/4*b - (contains cadditradid)
o5/2x3x5/2o5/4*b - grawv hidy
o5/2x3o5/2x5/4*b - [Grünbaumian]
o5/2o3x5/2x5/4*b - [Grünbaumian]
x5/2x3x5/2o5/4*b - [Grünbaumian]
x5/2x3o5/2x5/4*b - [Grünbaumian]
x5/2o3x5/2x5/4*b - [Grünbaumian]
o5/2x3x5/2x5/4*b - [Grünbaumian]
x5/2x3x5/2x5/4*b - [Grünbaumian]

x5/3x3o5/2o5/4*b - (contains cid)
x5/3o3x5/2o5/4*b - (contains gacid)
x5/3o3o5/2x5/4*b - geedatepthi
o5/3x3x5/2o5/4*b - grawv hidy
o5/3x3o5/2x5/4*b - [Grünbaumian]
o5/3o3x5/2x5/4*b - [Grünbaumian]
x5/3x3x5/2o5/4*b - giphidy
x5/3x3o5/2x5/4*b - [Grünbaumian]
x5/3o3x5/2x5/4*b - [Grünbaumian]
o5/3x3x5/2x5/4*b - [Grünbaumian]
x5/3x3x5/2x5/4*b - [Grünbaumian]

x5/2x3/2o5/3o5/4*b - [Grünbaumian]
x5/2o3/2x5/3o5/4*b - (contains gacid)
x5/2o3/2o5/3x5/4*b - (contains cadditradid)
o5/2x3/2x5/3o5/4*b - [Grünbaumian]
o5/2x3/2o5/3x5/4*b - [Grünbaumian]
o5/2o3/2x5/3x5/4*b - gisdipthi
x5/2x3/2x5/3o5/4*b - [Grünbaumian]
x5/2x3/2o5/3x5/4*b - [Grünbaumian]
x5/2o3/2x5/3x5/4*b - (contains cadditradid)
o5/2x3/2x5/3x5/4*b - [Grünbaumian]
x5/2x3/2x5/3x5/4*b - [Grünbaumian]

x5/3x3/2o5/3o5/4*b - (contains cid)
x5/3o3/2x5/3o5/4*b - (contains gacid)
x5/3o3/2o5/3x5/4*b - geedatepthi
o5/3x3/2x5/3o5/4*b - [Grünbaumian]
o5/3x3/2o5/3x5/4*b - [Grünbaumian]
o5/3o3/2x5/3x5/4*b - gisdipthi
x5/3x3/2x5/3o5/4*b - [Grünbaumian]
x5/3x3/2o5/3x5/4*b - [Grünbaumian]
x5/3o3/2x5/3x5/4*b - (contains sicdatrid)
o5/3x3/2x5/3x5/4*b - [Grünbaumian]
x5/3x3/2x5/3x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5o3o5/3o5/2*b   (up)

  o5o3o5/3o5/2*b (µ=26) o5o3o5/2o5/3*b (µ=94) o5o3/2o5/2o5/2*b (µ=334) o5o3/2o5/3o5/3*b (µ=986)
quasiregulars 
x5o3o5/3o5/2*b - gahi+gohi
   (contains f-gacid as verf)
o5x3o5/3o5/2*b - (contains gacid)
o5o3x5/3o5/2*b - (contains gacid)
o5o3o5/3x5/2*b - (contains "2gissid")

x5o3o5/2o5/3*b - gahi+gohi
   (contains f-gacid as verf)
o5x3o5/2o5/3*b - (contains gacid)
o5o3x5/2o5/3*b - (contains gacid)
o5o3o5/2x5/3*b - (contains "2gissid")

x5o3/2o5/2o5/2*b - gahi+gohi
   (contains f-gacid as verf)
o5x3/2o5/2o5/2*b - (contains gacid)
o5o3/2x5/2o5/2*b - (contains gacid)
o5o3/2o5/2x5/2*b - (contains "2gissid")

x5o3/2o5/3o5/3*b - gahi+gohi
   (contains f-gacid as verf)
o5x3/2o5/3o5/3*b - (contains gacid)
o5o3/2x5/3o5/3*b - (contains gacid)
o5o3/2o5/3x5/3*b - (contains "2gissid")
other
Wythoffians 
x5x3o5/3o5/2*b - (contains gacid)
x5o3x5/3o5/2*b - (contains gacid)
x5o3o5/3x5/2*b - (contains "2gissid")
o5x3x5/3o5/2*b - (contains "2sidhei")
o5x3o5/3x5/2*b - [Grünbaumian]
o5o3x5/3x5/2*b - gidipthi
x5x3x5/3o5/2*b - (contains "2sidhei")
x5x3o5/3x5/2*b - [Grünbaumian]
x5o3x5/3x5/2*b - sik vipathi
o5x3x5/3x5/2*b - [Grünbaumian]
x5x3x5/3x5/2*b - [Grünbaumian]

x5x3o5/2o5/3*b - (contains gacid)
x5o3x5/2o5/3*b - (contains gacid)
x5o3o5/2x5/3*b - (contains "2gissid")
o5x3x5/2o5/3*b - (contains "2sidhei")
o5x3o5/2x5/3*b - wavathi
o5o3x5/2x5/3*b - [Grünbaumian]
x5x3x5/2o5/3*b - (contains "2sidhei")
x5x3o5/2x5/3*b - mipthi
x5o3x5/2x5/3*b - [Grünbaumian]
o5x3x5/2x5/3*b - [Grünbaumian]
x5x3x5/2x5/3*b - [Grünbaumian]

x5x3/2o5/2o5/2*b - (contains gacid)
x5o3/2x5/2o5/2*b - (contains gacid)
x5o3/2o5/2x5/2*b - (contains "2gissid")
o5x3/2x5/2o5/2*b - [Grünbaumian]
o5x3/2o5/2x5/2*b - [Grünbaumian]
o5o3/2x5/2x5/2*b - [Grünbaumian]
x5x3/2x5/2o5/2*b - [Grünbaumian]
x5x3/2o5/2x5/2*b - [Grünbaumian]
x5o3/2x5/2x5/2*b - [Grünbaumian]
o5x3/2x5/2x5/2*b - [Grünbaumian]
x5x3/2x5/2x5/2*b - [Grünbaumian]

x5x3/2o5/3o5/3*b - (contains gacid)
x5o3/2x5/3o5/3*b - (contains gacid)
x5o3/2o5/3x5/3*b - (contains "2gissid")
o5x3/2x5/3o5/3*b - [Grünbaumian]
o5x3/2o5/3x5/3*b - wavathi
o5o3/2x5/3x5/3*b - gidipthi
x5x3/2x5/3o5/3*b - [Grünbaumian]
x5x3/2o5/3x5/3*b - mipthi
x5o3/2x5/3x5/3*b - (contains cadditradid)
o5x3/2x5/3x5/3*b - [Grünbaumian]
x5x3/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o5/4o3o5/2o5/3*b (µ=1106) o5/4o3o5/3o5/2*b (µ=1174) o5/4o3/2o5/2o5/2*b (µ=1346) o5/4o3/2o5/3o5/3*b (µ=2134)
quasiregulars 
x5/4o3o5/2o5/3*b - gahi+gohi
   (contains f-gacid as verf)
o5/4x3o5/2o5/3*b - (contains gacid)
o5/4o3x5/2o5/3*b - (contains gacid)
o5/4o3o5/2x5/3*b - (contains "2gissid")

x5/4o3o5/3o5/2*b - gahi+gohi
   (contains f-gacid as verf)
o5/4x3o5/3o5/2*b - (contains gacid)
o5/4o3x5/3o5/2*b - (contains gacid)
o5/4o3o5/3x5/2*b - (contains "2gissid")

x5/4o3/2o5/2o5/2*b - gahi+gohi
   (contains f-gacid as verf)
o5/4x3/2o5/2o5/2*b - (contains gacid)
o5/4o3/2x5/2o5/2*b - (contains gacid)
o5/4o3/2o5/2x5/2*b - (contains "2gissid")

x5/4o3/2o5/3o5/3*b - gahi+gohi
   (contains f-gacid as verf)
o5/4x3/2o5/3o5/3*b - (contains gacid)
o5/4o3/2x5/3o5/3*b - (contains gacid)
o5/4o3/2o5/3x5/3*b - (contains "2gissid")
other
Wythoffians 
x5/4x3o5/2o5/3*b - [Grünbaumian]
x5/4o3x5/2o5/3*b - (contains gacid)
x5/4o3o5/2x5/3*b - (contains "2gissid")
o5/4x3x5/2o5/3*b - (contains "2sidhei")
o5/4x3o5/2x5/3*b - wavathi
o5/4o3x5/2x5/3*b - [Grünbaumian]
x5/4x3x5/2o5/3*b - [Grünbaumian]
x5/4x3o5/2x5/3*b - [Grünbaumian]
x5/4o3x5/2x5/3*b - [Grünbaumian]
o5/4x3x5/2x5/3*b - [Grünbaumian]
x5/4x3x5/2x5/3*b - [Grünbaumian]

x5/4x3o5/3o5/2*b - [Grünbaumian]
x5/4o3x5/3o5/2*b - (contains gacid)
x5/4o3o5/3x5/2*b - (contains "2gissid")
o5/4x3x5/3o5/2*b - (contains "2sidhei")
o5/4x3o5/3x5/2*b - [Grünbaumian]
o5/4o3x5/3x5/2*b - gidipthi
x5/4x3x5/3o5/2*b - [Grünbaumian]
x5/4x3o5/3x5/2*b - [Grünbaumian]
x5/4o3x5/3x5/2*b - (contains gicdatrid)
o5/4x3x5/3x5/2*b - [Grünbaumian]
x5/4x3x5/3x5/2*b - [Grünbaumian]

x5/4x3/2o5/2o5/2*b - [Grünbaumian]
x5/4o3/2x5/2o5/2*b - (contains gacid)
x5/4o3/2o5/2x5/2*b - (contains "2gissid")
o5/4x3/2x5/2o5/2*b - [Grünbaumian]
o5/4x3/2o5/2x5/2*b - [Grünbaumian]
o5/4o3/2x5/2x5/2*b - [Grünbaumian]
x5/4x3/2x5/2o5/2*b - [Grünbaumian]
x5/4x3/2o5/2x5/2*b - [Grünbaumian]
x5/4o3/2x5/2x5/2*b - [Grünbaumian]
o5/4x3/2x5/2x5/2*b - [Grünbaumian]
x5/4x3/2x5/2x5/2*b - [Grünbaumian]

x5/4x3/2o5/3o5/3*b - [Grünbaumian]
x5/4o3/2x5/3o5/3*b - (contains gacid)
x5/4o3/2o5/3x5/3*b - (contains "2gissid")
o5/4x3/2x5/3o5/3*b - [Grünbaumian]
o5/4x3/2o5/3x5/3*b - wavathi
o5/4o3/2x5/3x5/3*b - gidipthi
x5/4x3/2x5/3o5/3*b - [Grünbaumian]
x5/4x3/2o5/3x5/3*b - [Grünbaumian]
x5/4o3/2x5/3x5/3*b - sik vipathi
o5/4x3/2x5/3x5/3*b - [Grünbaumian]
x5/4x3/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o3/2o5o5*b   (up)

  o5/2o3/2o5o5*b (µ=46) o5/3o3/2o5o5*b (µ=194) o5/2o3o5/4o5*b (µ=314) o5/2o3o5o5/4*b (µ=526)
quasiregulars 
x5/2o3/2o5o5*b - gishi+gashi
   (contains v-cid as verf)
o5/2x3/2o5o5*b - (contains cid)
o5/2o3/2x5o5*b - (contains cid)
o5/2o3/2o5x5*b - (contains "2doe")

x5/3o3/2o5o5*b - gishi+gashi
   (contains v-cid as verf)
o5/3x3/2o5o5*b - (contains cid)
o5/3o3/2x5o5*b - (contains cid)
o5/3o3/2o5x5*b - (contains "2doe")

x5/2o3o5/4o5*b - gishi+gashi
   (contains v-cid as verf)
o5/2x3o5/4o5*b - (contains cid)
o5/2o3x5/4o5*b - (contains cid)
o5/2o3o5/4x5*b - (contains "2doe")

x5/2o3o5o5/4*b - gishi+gashi
   (contains v-cid as verf)
o5/2x3o5o5/4*b - (contains cid)
o5/2o3x5o5/4*b - (contains cid)
o5/2o3o5x5/4*b - (contains "2doe")
other
Wythoffians 
x5/2x3/2o5o5*b - [Grünbaumian]
x5/2o3/2x5o5*b - (contains cid)
x5/2o3/2o5x5*b - (contains "2doe")
o5/2x3/2x5o5*b - [Grünbaumian]
o5/2x3/2o5x5*b - rawvathi
o5/2o3/2x5x5*b - sidipthi
x5/2x3/2x5o5*b - [Grünbaumian]
x5/2x3/2o5x5*b - [Grünbaumian]
x5/2o3/2x5x5*b - gik vipathi
o5/2x3/2x5x5*b - [Grünbaumian]
x5/2x3/2x5x5*b - [Grünbaumian]

x5/3x3/2o5o5*b - (contains cid)
x5/3o3/2x5o5*b - (contains cid)
x5/3o3/2o5x5*b - (contains "2doe")
o5/3x3/2x5o5*b - [Grünbaumian]
o5/3x3/2o5x5*b - rawvathi
o5/3o3/2x5x5*b - sidipthi
x5/3x3/2x5o5*b - [Grünbaumian]
x5/3x3/2o5x5*b - gapthi
x5/3o3/2x5x5*b - (contains sicdatrid)
o5/3x3/2x5x5*b - [Grünbaumian]
x5/3x3/2x5x5*b - [Grünbaumian]

x5/2x3o5/4o5*b - [Grünbaumian]
x5/2o3x5/4o5*b - (contains cid)
x5/2o3o5/4x5*b - (contains "2doe")
o5/2x3x5/4o5*b - (contains "2gidhei")
o5/2x3o5/4x5*b - rawvathi
o5/2o3x5/4x5*b - [Grünbaumian]
x5/2x3x5/4o5*b - [Grünbaumian]
x5/2x3o5/4x5*b - [Grünbaumian]
x5/2o3x5/4x5*b - [Grünbaumian]
o5/2x3x5/4x5*b - [Grünbaumian]
x5/2x3x5/4x5*b - [Grünbaumian]

x5/2x3o5o5/4*b - [Grünbaumian]
x5/2o3x5o5/4*b - (contains cid)
x5/2o3o5x5/4*b - (contains "2doe")
o5/2x3x5o5/4*b - (contains "2gidhei")
o5/2x3o5x5/4*b - [Grünbaumian]
o5/2o3x5x5/4*b - sidipthi
x5/2x3x5o5/4*b - [Grünbaumian]
x5/2x3o5x5/4*b - [Grünbaumian]
x5/2o3x5x5/4*b - (contains cadditradid)
o5/2x3x5x5/4*b - [Grünbaumian]
x5/2x3x5x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...
  o5/3o3o5o5/4*b (µ=674) o5/3o3o5/4o5*b (µ=886) o5/2o3/2o5/4o5/4*b (µ=1994) o5/3o3/2o5/4o5/4*b (µ=2566)
quasiregulars 
x5/3o3o5o5/4*b - gishi+gashi
   (contains v-cid as verf)
o5/3x3o5o5/4*b - (contains cid)
o5/3o3x5o5/4*b - (contains cid)
o5/3o3o5x5/4*b - (contains "2doe")

x5/3o3o5/4o5*b - gishi+gashi
   (contains v-cid as verf)
o5/3x3o5/4o5*b - (contains cid)
o5/3o3x5/4o5*b - (contains cid)
o5/3o3o5/4x5*b - (contains "2doe")

x5/2o3/2o5/4o5/4*b - gishi+gashi
   (contains v-cid as verf)
o5/2x3/2o5/4o5/4*b - (contains cid)
o5/2o3/2x5/4o5/4*b - (contains cid)
o5/2o3/2o5/4x5/4*b - (contains "2doe")

x5/3o3/2o5/4o5/4*b - gishi+gashi
   (contains v-cid as verf)
o5/3x3/2o5/4o5/4*b - (contains cid)
o5/3o3/2x5/4o5/4*b - (contains cid)
o5/3o3/2o5/4x5/4*b - (contains "2doe")
other
Wythoffians 
x5/3x3o5o5/4*b - (contains cid)
x5/3o3x5o5/4*b - (contains cid)
x5/3o3o5x5/4*b - (contains "2doe")
o5/3x3x5o5/4*b - (contains "2gidhei")
o5/3x3o5x5/4*b - [Grünbaumian]
o5/3o3x5x5/4*b - sidipthi
x5/3x3x5o5/4*b - (contains "2gidhei")
x5/3x3o5x5/4*b - [Grünbaumian]
x5/3o3x5x5/4*b - gik vipathi
o5/3x3x5x5/4*b - [Grünbaumian]
x5/3x3x5x5/4*b - [Grünbaumian]

x5/3x3o5/4o5*b - (contains cid)
x5/3o3x5/4o5*b - (contains cid)
x5/3o3o5/4x5*b - (contains "2doe")
o5/3x3x5/4o5*b - (contains "2gidhei")
o5/3x3o5/4x5*b - rawvathi
o5/3o3x5/4x5*b - [Grünbaumian]
x5/3x3x5/4o5*b - (contains "2gidhei")
x5/3x3o5/4x5*b - gapthi
x5/3o3x5/4x5*b - [Grünbaumian]
o5/3x3x5/4x5*b - [Grünbaumian]
x5/3x3x5/4x5*b - [Grünbaumian]

x5/2x3/2o5/4o5/4*b - [Grünbaumian]
x5/2o3/2x5/4o5/4*b - (contains cid)
x5/2o3/2o5/4x5/4*b - (contains "2doe")
o5/2x3/2x5/4o5/4*b - [Grünbaumian]
o5/2x3/2o5/4x5/4*b - [Grünbaumian]
o5/2o3/2x5/4x5/4*b - [Grünbaumian]
x5/2x3/2x5/4o5/4*b - [Grünbaumian]
x5/2x3/2o5/4x5/4*b - [Grünbaumian]
x5/2o3/2x5/4x5/4*b - [Grünbaumian]
o5/2x3/2x5/4x5/4*b - [Grünbaumian]
x5/2x3/2x5/4x5/4*b - [Grünbaumian]

x5/3x3/2o5/4o5/4*b - (contains cid)
x5/3o3/2x5/4o5/4*b - (contains cid)
x5/3o3/2o5/4x5/4*b - (contains "2doe")
o5/3x3/2x5/4o5/4*b - [Grünbaumian]
o5/3x3/2o5/4x5/4*b - [Grünbaumian]
o5/3o3/2x5/4x5/4*b - [Grünbaumian]
x5/3x3/2x5/4o5/4*b - [Grünbaumian]
x5/3x3/2o5/4x5/4*b - [Grünbaumian]
x5/3o3/2x5/4x5/4*b - [Grünbaumian]
o5/3x3/2x5/4x5/4*b - [Grünbaumian]
x5/3x3/2x5/4x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5o5/2o3/2o5/2*b   (up)

  o5o5/2o3/2o5/2*b (µ=152) o5o5/2o3o5/3*b (µ=208) o5o5/3o3/2o5/3*b (µ=872)
quasiregulars 
x5o5/2o3/2o5/2*b - 2gaghi
   (contains f-"2gissid" as verf)
o5x5/2o3/2o5/2*b - (contains "2gissid")
o5o5/2x3/2o5/2*b - (contains gacid)

x5o5/2o3o5/3*b - 2gaghi
   (contains f-"2gissid" as verf)
o5x5/2o3o5/3*b - (contains "2gissid")
o5o5/2x3o5/3*b - (contains gacid)
o5o5/2o3x5/3*b - (contains gacid)

x5o5/3o3/2o5/3*b - 2gaghi
   (contains f-"2gissid" as verf)
o5x5/3o3/2o5/3*b - (contains "2gissid")
o5o5/3x3/2o5/3*b - (contains gacid)
other
Wythoffians 
x5x5/2o3/2o5/2*b - (contains "2gissid")
x5o5/2x3/2o5/2*b - (contains gacid)
o5x5/2x3/2o5/2*b - [Grünbaumian]
o5o5/2x3/2x5/2*b - [Grünbaumian]
x5x5/2x3/2o5/2*b - [Grünbaumian]
x5o5/2x3/2x5/2*b - [Grünbaumian]
o5x5/2x3/2x5/2*b - [Grünbaumian]
x5x5/2x3/2x5/2*b - [Grünbaumian]

x5x5/2o3o5/3*b - (contains "2gissid")
x5o5/2x3o5/3*b - (contains gacid)
x5o5/2o3x5/3*b - (contains gacid)
o5x5/2x3o5/3*b - [Grünbaumian]
o5x5/2o3x5/3*b - gwavathi
o5o5/2x3x5/3*b - (contains "2sidhei")
x5x5/2x3o5/3*b - [Grünbaumian]
x5x5/2o3x5/3*b - sipthi
x5o5/2x3x5/3*b - (contains cadditradid)
o5x5/2x3x5/3*b - [Grünbaumian]
x5x5/2x3x5/3*b - [Grünbaumian]

x5x5/3o3/2o5/3*b - (contains "2gissid")
x5o5/3x3/2o5/3*b - (contains gacid)
o5x5/3x3/2o5/3*b - gwavathi
o5o5/3x3/2x5/3*b - [Grünbaumian]
x5x5/3x3/2o5/3*b - sipthi
x5o5/3x3/2x5/3*b - [Grünbaumian]
o5x5/3x3/2x5/3*b - [Grünbaumian]
x5x5/3x3/2x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o5/4o5/2o3o5/3*b (µ=992) o5/4o5/2o3/2o5/2*b (µ=1528) o5/4o5/3o3/2o5/3*b (µ=2248)
quasiregulars 
x5/4o5/2o3o5/3*b - 2gaghi
   (contains f-"2gissid" as verf)
o5/4x5/2o3o5/3*b - (contains "2gissid")
o5/4o5/2x3o5/3*b - (contains gacid)
o5/4o5/2o3x5/3*b - (contains gacid)

x5/4o5/2o3/2o5/2*b - 2gaghi
   (contains f-"2gissid" as verf)
o5/4x5/2o3/2o5/2*b - (contains "2gissid")
o5/4o5/2x3/2o5/2*b - (contains gacid)

x5/4o5/3o3/2o5/3*b - 2gaghi
   (contains f-"2gissid" as verf)
o5/4x5/3o3/2o5/3*b - (contains "2gissid")
o5/4o5/3x3/2o5/3*b - (contains gacid)
other
Wythoffians 
x5/4x5/2o3o5/3*b - [Grünbaumian]
x5/4o5/2x3o5/3*b - (contains gacid)
x5/4o5/2o3x5/3*b - (contains gacid)
o5/4x5/2x3o5/3*b - [Grünbaumian]
o5/4x5/2o3x5/3*b - gwavathi
o5/4o5/2x3x5/3*b - (contains "2sidhei")
x5/4x5/2x3o5/3*b - [Grünbaumian]
x5/4x5/2o3x5/3*b - [Grünbaumian]
x5/4o5/2x3x5/3*b - 
o5/4x5/2x3x5/3*b - [Grünbaumian]
x5/4x5/2x3x5/3*b - [Grünbaumian]

x5/4x5/2o3/2o5/2*b - [Grünbaumian]
x5/4o5/2x3/2o5/2*b - (contains gacid)
o5/4x5/2x3/2o5/2*b - [Grünbaumian]
o5/4o5/2x3/2x5/2*b - [Grünbaumian]
x5/4x5/2x3/2o5/2*b - [Grünbaumian]
x5/4o5/2x3/2x5/2*b - [Grünbaumian]
o5/4x5/2x3/2x5/2*b - [Grünbaumian]
x5/4x5/2x3/2x5/2*b - [Grünbaumian]

x5/4x5/3o3/2o5/3*b - [Grünbaumian]
x5/4o5/3x3/2o5/3*b - (contains gacid)
o5/4x5/3x3/2o5/3*b - gwavathi
o5/4o5/3x3/2x5/3*b - [Grünbaumian]
x5/4x5/3x3/2o5/3*b - [Grünbaumian]
x5/4o5/3x3/2x5/3*b - [Grünbaumian]
o5/4x5/3x3/2x5/3*b - [Grünbaumian]
x5/4x5/3x3/2x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o5o3/2o5*b   (up)

  o5/2o5o3/2o5*b (µ=8) o5/3o5o3/2o5*b (µ=232) o5/2o5o3o5/4*b (µ=352)
quasiregulars 
x5/2o5o3/2o5*b - 2sishi
   (contains v-"2doe" as verf)
o5/2x5o3/2o5*b - (contains "2doe")
o5/2o5x3/2o5*b - (contains cid)

x5/3o5o3/2o5*b - 2sishi
   (contains v-"2doe" as verf)
o5/3x5o3/2o5*b - (contains "2doe")
o5/3o5x3/2o5*b - (contains cid)

x5/2o5o3o5/4*b - 2sishi
   (contains v-"2doe" as verf)
o5/2x5o3o5/4*b - (contains "2doe")
o5/2o5x3o5/4*b - (contains cid)
o5/2o5o3x5/4*b - (contains cid)
other
Wythoffians 
x5/2x5o3/2o5*b - [Grünbaumian]
x5/2o5x3/2o5*b - (contains cid)
o5/2x5x3/2o5*b - srawvathi
o5/2o5x3/2x5*b - [Grünbaumian]
x5/2x5x3/2o5*b - [Grünbaumian]
x5/2o5x3/2x5*b - [Grünbaumian]
o5/2x5x3/2x5*b - [Grünbaumian]
x5/2x5x3/2x5*b - [Grünbaumian]

x5/3x5o3/2o5*b - (contains "2doe")
x5/3o5x3/2o5*b - (contains cid)
o5/3x5x3/2o5*b - srawvathi
o5/3o5x3/2x5*b - [Grünbaumian]
x5/3x5x3/2o5*b - gipthi
x5/3o5x3/2x5*b - [Grünbaumian]
o5/3x5x3/2x5*b - [Grünbaumian]
x5/3x5x3/2x5*b - [Grünbaumian]

x5/2x5o3o5/4*b - [Grünbaumian]
x5/2o5x3o5/4*b - (contains cid)
x5/2o5o3x5/4*b - (contains cid)
o5/2x5x3o5/4*b - srawvathi
o5/2x5o3x5/4*b - [Grünbaumian]
o5/2o5x3x5/4*b - (contains "2gidhei")
x5/2x5x3o5/4*b - [Grünbaumian]
x5/2x5o3x5/4*b - [Grünbaumian]
x5/2o5x3x5/4*b - (contains cadditradid)
o5/2x5x3x5/4*b - [Grünbaumian]
x5/2x5x3x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o5/3o5o3o5/4*b (µ=848) o5/2o5/4o3/2o5/4*b (µ=2168) o5/3o5/4o3/2o5/4*b (µ=2392)
quasiregulars 
x5/3o5o3o5/4*b - 2sishi
   (contains v-"2doe" as verf)
o5/3x5o3o5/4*b - (contains "2doe")
o5/3o5x3o5/4*b - (contains cid)
o5/3o5o3x5/4*b - (contains cid)

x5/2o5/4o3/2o5/4*b - 2sishi
   (contains v-"2doe" as verf)
o5/2x5/4o3/2o5/4*b - (contains "2doe")
o5/2o5/4x3/2o5/4*b - (contains cid)

x5/3o5/4o3/2o5/4*b - 2sishi
   (contains v-"2doe" as verf)
o5/3x5/4o3/2o5/4*b - (contains "2doe")
o5/3o5/4x3/2o5/4*b - (contains cid)
other
Wythoffians 
x5/3x5o3o5/4*b - (contains "2doe")
x5/3o5x3o5/4*b - (contains cid)
x5/3o5o3x5/4*b - (contains cid)
o5/3x5x3o5/4*b - srawvathi
o5/3x5o3x5/4*b - [Grünbaumian]
o5/3o5x3x5/4*b - (contains "2gidhei")
x5/3x5x3o5/4*b - gipthi
x5/3x5o3x5/4*b - [Grünbaumian]
x5/3o5x3x5/4*b - (contains cadditradid)
o5/3x5x3x5/4*b - [Grünbaumian]
x5/3x5x3x5/4*b - [Grünbaumian]

x5/2x5/4o3/2o5/4*b - [Grünbaumian]
x5/2o5/4x3/2o5/4*b - (contains cid)
o5/2x5/4x3/2o5/4*b - [Grünbaumian]
o5/2o5/4x3/2x5/4*b - [Grünbaumian]
x5/2x5/4x3/2o5/4*b - [Grünbaumian]
x5/2o5/4x3/2x5/4*b - [Grünbaumian]
o5/2x5/4x3/2x5/4*b - [Grünbaumian]
x5/2x5/4x3/2x5/4*b - [Grünbaumian]

x5/3x5/4o3/2o5/4*b - (contains "2doe")
x5/3o5/4x3/2o5/4*b - (contains cid)
o5/3x5/4x3/2o5/4*b - [Grünbaumian]
o5/3o5/4x3/2x5/4*b - [Grünbaumian]
x5/3x5/4x3/2o5/4*b - [Grünbaumian]
x5/3o5/4x3/2x5/4*b - [Grünbaumian]
o5/3x5/4x3/2x5/4*b - [Grünbaumian]
x5/3x5/4x3/2x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5o5/2o5/2o5/2*b   (up)

  o5o5/2o5/2o5/2*b (µ=12) o5o5/2o5/3o5/3*b (µ=348) o5/4o5/2o5/2o5/2*b (µ=708)
quasiregulars 
x5o5/2o5/2o5/2*b - 2gohi
   (contains f-"2sissid" as verf)
o5x5/2o5/2o5/2*b - (contains "2sissid")
o5o5/2x5/2o5/2*b - (contains "2sissid")

x5o5/2o5/3o5/3*b - 2gohi
   (contains f-"2sissid" as verf)
o5x5/2o5/3o5/3*b - (contains "2sissid")
o5o5/2x5/3o5/3*b - (contains "2sissid")
o5o5/2o5/3x5/3*b - (contains "2sissid")

x5/4o5/2o5/2o5/2*b - 2gohi
   (contains f-"2sissid" as verf)
o5/4x5/2o5/2o5/2*b - (contains "2sissid")
o5/4o5/2x5/2o5/2*b - (contains "2sissid")
other
Wythoffians 
x5x5/2o5/2o5/2*b - (contains "2sissid")
x5o5/2x5/2o5/2*b - sidpippady+120 2sissid
o5x5/2x5/2o5/2*b - 3rasishi
o5o5/2x5/2x5/2*b - [Grünbaumian]
x5x5/2x5/2o5/2*b - [Grünbaumian]
x5o5/2x5/2x5/2*b - [Grünbaumian]
o5x5/2x5/2x5/2*b - [Grünbaumian]
x5x5/2x5/2x5/2*b - [Grünbaumian]

x5x5/2o5/3o5/3*b - (contains "2sissid")
x5o5/2x5/3o5/3*b - (contains "2sissid")
x5o5/2o5/3x5/3*b - (contains "2sissid")
o5x5/2x5/3o5/3*b - [Grünbaumian]
o5x5/2o5/3x5/3*b - (contains "2gidhid")
o5o5/2x5/3x5/3*b - (contains "2gidhid")
x5x5/2x5/3o5/3*b - [Grünbaumian]
x5x5/2o5/3x5/3*b - (contains "2gidhid")
x5o5/2x5/3x5/3*b - (contains cadditradid)
o5x5/2x5/3x5/3*b - [Grünbaumian]
x5x5/2x5/3x5/3*b - [Grünbaumian]

x5/4x5/2o5/2o5/2*b - [Grünbaumian]
x5/4o5/2x5/2o5/2*b - (contains "2sissid")
o5/4x5/2x5/2o5/2*b - [Grünbaumian]
o5/4o5/2x5/2x5/2*b - [Grünbaumian]
x5/4x5/2x5/2o5/2*b - [Grünbaumian]
x5/4o5/2x5/2x5/2*b - [Grünbaumian]
o5/4x5/2x5/2x5/2*b - [Grünbaumian]
x5/4x5/2x5/2x5/2*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o5o5/3o5/2o5/3*b (µ=732) o5/4o5/3o5/2o5/3*b (µ=1428) o5/4o5/2o5/3o5/3*b (µ=1812)
quasiregulars 
x5o5/3o5/2o5/3*b - 2gohi
   (contains f-"2sissid" as verf)
o5x5/3o5/2o5/3*b - (contains "2sissid")
o5o5/3x5/2o5/3*b - (contains "2sissid")

x5/4o5/3o5/2o5/3*b - 2gohi
   (contains f-"2sissid" as verf)
o5/4x5/3o5/2o5/3*b - (contains "2sissid")
o5/4o5/3x5/2o5/3*b - (contains "2sissid")

x5/4o5/2o5/3o5/3*b - 2gohi
   (contains f-"2sissid" as verf)
o5/4x5/2o5/3o5/3*b - (contains "2sissid")
o5/4o5/2x5/3o5/3*b - (contains "2sissid")
o5/4o5/2o5/3x5/3*b - (contains "2sissid")
other
Wythoffians 
x5x5/3o5/2o5/3*b - (contains "2sissid")
x5o5/3x5/2o5/3*b - (contains "2sissid")
o5x5/3x5/2o5/3*b - (contains "2gidhid")
o5o5/3x5/2x5/3*b - [Grünbaumian]
x5x5/3x5/2o5/3*b - (contains "2gidhid")
x5o5/3x5/2x5/3*b - [Grünbaumian]
o5x5/3x5/2x5/3*b - [Grünbaumian]
x5x5/3x5/2x5/3*b - [Grünbaumian]

x5/4x5/3o5/2o5/3*b - [Grünbaumian]
x5/4o5/3x5/2o5/3*b - (contains "2sissid")
o5/4x5/3x5/2o5/3*b - (contains "2gidhid")
o5/4o5/3x5/2x5/3*b - [Grünbaumian]
x5/4x5/3x5/2o5/3*b - [Grünbaumian]
x5/4o5/3x5/2x5/3*b - [Grünbaumian]
o5/4x5/3x5/2x5/3*b - [Grünbaumian]
x5/4x5/3x5/2x5/3*b - [Grünbaumian]

x5/4x5/2o5/3o5/3*b - [Grünbaumian]
x5/4o5/2x5/3o5/3*b - (contains "2sissid")
x5/4o5/2o5/3x5/3*b - (contains "2sissid")
o5/4x5/2x5/3o5/3*b - [Grünbaumian]
o5/4x5/2o5/3x5/3*b - (contains "2gidhid")
o5/4o5/2x5/3x5/3*b - (contains "2gidhid")
x5/4x5/2x5/3o5/3*b - [Grünbaumian]
x5/4x5/2o5/3x5/3*b - [Grünbaumian]
x5/4o5/2x5/3x5/3*b - (contains cadditradid)
o5/4x5/2x5/3x5/3*b - [Grünbaumian]
x5/4x5/2x5/3x5/3*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o5/2o5o5/4o5*b   (up)

  o5/2o5o5/4o5*b (µ=132) o5/2o5o5o5/4*b (µ=228) o5/3o5o5o5/4*b (µ=492)
quasiregulars 
x5/2o5o5/4o5*b - 2gashi
   (contains v-"2gad" as verf)
o5/2x5o5/4o5*b - (contains "2gad")
o5/2o5x5/4o5*b - (contains "2gad")

x5/2o5o5o5/4*b - 2gashi
   (contains v-"2gad" as verf)
o5/2x5o5o5/4*b - (contains "2gad")
o5/2o5x5o5/4*b - (contains "2gad")
o5/2o5o5x5/4*b - (contains "2gad")

x5/3o5o5o5/4*b - 2gashi
   (contains v-"2gad" as verf)
o5/3x5o5o5/4*b - (contains "2gad")
o5/3o5x5o5/4*b - (contains "2gad")
o5/3o5o5x5/4*b - (contains "2gad")
other
Wythoffians 
x5/2x5o5/4o5*b - [Grünbaumian]
x5/2o5x5/4o5*b - (contains "2gad")
o5/2x5x5/4o5*b - (contains "2sidhid")
o5/2o5x5/4x5*b - [Grünbaumian]
x5/2x5x5/4o5*b - [Grünbaumian]
x5/2o5x5/4x5*b - [Grünbaumian]
o5/2x5x5/4x5*b - [Grünbaumian]
x5/2x5x5/4x5*b - [Grünbaumian]

x5/2x5o5o5/4*b - [Grünbaumian]
x5/2o5x5o5/4*b - (contains "2gad")
x5/2o5o5x5/4*b - (contains "2gad")
o5/2x5x5o5/4*b - (contains "2sidhid")
o5/2x5o5x5/4*b - [Grünbaumian]
o5/2o5x5x5/4*b - (contains "2sidhid")
x5/2x5x5o5/4*b - [Grünbaumian]
x5/2x5o5x5/4*b - [Grünbaumian]
x5/2o5x5x5/4*b - (contains cadditradid)
o5/2x5x5x5/4*b - [Grünbaumian]
x5/2x5x5x5/4*b - [Grünbaumian]

x5/3x5o5o5/4*b - (contains "2gad")
x5/3o5x5o5/4*b - (contains "2gad")
x5/3o5o5x5/4*b - (contains "2gad")
o5/3x5x5o5/4*b - (contains "2sidhid")
o5/3x5o5x5/4*b - [Grünbaumian]
o5/3o5x5x5/4*b - (contains "2sidhid")
x5/3x5x5o5/4*b - (contains "2sidhid")
x5/3x5o5x5/4*b - [Grünbaumian]
x5/3o5x5x5/4*b - (contains cadditradid)
o5/3x5x5x5/4*b - [Grünbaumian]
x5/3x5x5x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o5/3o5o5/4o5*b (µ=588) o5/2o5/4o5/4o5/4*b (µ=2292) o5/3o5/4o5/4o5/4*b (µ=2748)
quasiregulars 
x5/3o5o5/4o5*b - 2gashi
   (contains v-"2gad" as verf)
o5/3x5o5/4o5*b - (contains "2gad")
o5/3o5x5/4o5*b - (contains "2gad")

x5/2o5/4o5/4o5/4*b - 2gashi
   (contains v-"2gad" as verf)
o5/2x5/4o5/4o5/4*b - (contains "2gad")
o5/2o5/4x5/4o5/4*b - (contains "2gad")

x5/3o5/4o5/4o5/4*b - 2gashi
   (contains v-"2gad" as verf)
o5/3x5/4o5/4o5/4*b - (contains "2gad")
o5/3o5/4x5/4o5/4*b - (contains "2gad")
other
Wythoffians 
x5/3x5o5/4o5*b - (contains "2gad")
x5/3o5x5/4o5*b - (contains "2gad")
o5/3x5x5/4o5*b - (contains "2sidhid")
o5/3o5x5/4x5*b - [Grünbaumian]
x5/3x5x5/4o5*b - (contains "2sidhid")
x5/3o5x5/4x5*b - [Grünbaumian]
o5/3x5x5/4x5*b - [Grünbaumian]
x5/3x5x5/4x5*b - [Grünbaumian]

x5/2x5/4o5/4o5/4*b - [Grünbaumian]
x5/2o5/4x5/4o5/4*b - (contains "2gad")
o5/2x5/4x5/4o5/4*b - [Grünbaumian]
o5/2o5/4x5/4x5/4*b - [Grünbaumian]
x5/2x5/4x5/4o5/4*b - [Grünbaumian]
x5/2o5/4x5/4x5/4*b - [Grünbaumian]
o5/2x5/4x5/4x5/4*b - [Grünbaumian]
x5/2x5/4x5/4x5/4*b - [Grünbaumian]

x5/3x5/4o5/4o5/4*b - (contains "2gad")
x5/3o5/4x5/4o5/4*b - (contains "2gad")
o5/3x5/4x5/4o5/4*b - [Grünbaumian]
o5/3o5/4x5/4x5/4*b - [Grünbaumian]
x5/3x5/4x5/4o5/4*b - [Grünbaumian]
x5/3o5/4x5/4x5/4*b - [Grünbaumian]
o5/3x5/4x5/4x5/4*b - [Grünbaumian]
x5/3x5/4x5/4x5/4*b - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

loop ones 
o-P-o-Q-o-R-o-S-*a   =

  o---P---o
  |       |
  S       Q
  |       |
  o---R---o

Demi-Tesseractic ("demi-tessic") Symmetries   (up)

  o3o3o3o3/2*a (µ=4) o3o3/2o3/2o3/2*a (µ=20)
quasiregulars 
x3o3o3o3/2*a - 2tho
o3x3o3o3/2*a - 2tho

x3o3/2o3/2o3/2*a - 2tho
o3o3/2x3/2o3/2*a - 2tho
other
Wythoffians 
x3x3o3o3/2*a - firt
x3o3x3o3/2*a - 2ratho
x3o3o3x3/2*a - [Grünbaumian]
o3x3x3o3/2*a - firt
x3x3x3o3/2*a - 2titho)
x3x3o3x3/2*a - [Grünbaumian]
x3x3x3x3/2*a - [Grünbaumian]

x3x3/2o3/2o3/2*a - firt
x3o3/2x3/2o3/2*a - 2ratho
x3o3/2o3/2x3/2*a - [Grünbaumian]
o3o3/2x3/2x3/2*a - [Grünbaumian]
x3x3/2x3/2o3/2*a - [Grünbaumian]
x3o3/2x3/2x3/2*a - [Grünbaumian]
x3x3/2x3/2x3/2*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...


Icositetrachoral ("icoic") Symmetries   (up)

  o3o4o3/2o4*a (µ=10) o3o4o3o4/3*a (µ=14) o3/2o4o3/2o4/3*a (µ=110) o3o4/3o3/2o4/3*a (µ=154)
quasiregulars 
x3o4o3/2o4*a - ico+gico+24co
o3o4x3/2o4*a - ico+gico+24co

x3o4o3o4/3*a - ico+gico+24co
o3x4o3o4/3*a - ico+gico+24co

x3/2o4o3/2o4/3*a - ico+gico+24co
o3/2x4o3/2o4/3*a - ico+gico+24co

x3o4/3o3/2o4/3*a - ico+gico+24co
o3o4/3x3/2o4/3*a - ico+gico+24co
other
Wythoffians 
x3x4o3/2o4*a - 2frico
x3o4x3/2o4*a - rafficdi
x3o4o3/2x4*a - siddic
o3o4x3/2x4*a - [Grünbaumian]
x3x4x3/2o4*a - guti
x3o4x3/2x4*a - [Grünbaumian]
x3x4x3/2x4*a - [Grünbaumian]

x3x4o3o4/3*a - 2frico
x3o4x3o4/3*a - rafficdi
x3o4o3x4/3*a - giddic
o3x4x3o4/3*a - siddic
x3x4x3o4/3*a - guti
x3x4o3x4/3*a - suti
x3x4x3x4/3*a - doc

x3/2x4o3/2o4/3*a - [Grünbaumian]
x3/2o4x3/2o4/3*a - rafficdi
x3/2o4o3/2x4/3*a - giddic
o3/2x4x3/2o4/3*a - siddic
x3/2x4x3/2o4/3*a - [Grünbaumian]
x3/2x4o3/2x4/3*a - [Grünbaumian]
x3/2x4x3/2x4/3*a - [Grünbaumian]

x3x4/3o3/2o4/3*a - 2frico
x3o4/3x3/2o4/3*a - rafficdi
x3o4/3o3/2x4/3*a - giddic
o3o4/3x3/2x4/3*a - [Grünbaumian]
x3x4/3x3/2o4/3*a - suti
x3o4/3x3/2x4/3*a - [Grünbaumian]
x3x4/3x3/2x4/3*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3/2o3o5*a   (up)

  o3o3/2o3o5*a (µ=14) o3o3o3/2o5*a (µ=106) o3o3o3o5/4*a (µ=494)
quasiregulars 
x3o3/2o3o5*a - sirdtaxady
o3x3/2o3o5*a - gidtixhi+dox

x3o3o3/2o5*a - sirdtaxady
o3x3o3/2o5*a - gidtixhi+dox
o3o3x3/2o5*a - gidtixhi+dox
o3o3o3/2x5*a - sirdtaxady

x3o3o3o5/4*a - sirdtaxady
o3x3o3o5/4*a - gidtixhi+dox
other
Wythoffians 
x3x3/2o3o5*a - gadixady
x3o3/2x3o5*a - (contains "2thah")
x3o3/2o3x5*a - 2fry
o3x3/2x3o5*a - [Grünbaumian]
x3x3/2x3o5*a - [Grünbaumian]
x3x3/2o3x5*a - (contains "2thah")
x3x3/2x3x5*a - [Grünbaumian]

x3x3o3/2o5*a - gadixady
x3o3x3/2o5*a - (contains gicdatrid)
x3o3o3/2x5*a - 2fry
o3x3x3/2o5*a - 2prapvixhi
o3x3o3/2x5*a - (contains "2thah")
o3o3x3/2x5*a - [Grünbaumian]
x3x3x3/2o5*a - (contains gicdatrid)
x3x3o3/2x5*a - (contains "2thah")
x3o3x3/2x5*a - [Grünbaumian]
o3x3x3/2x5*a - [Grünbaumian]
x3x3x3/2x5*a - [Grünbaumian]

x3x3o3o5/4*a - gadixady
x3o3x3o5/4*a - (contains gicdatrid)
x3o3o3x5/4*a - [Grünbaumian]
o3x3x3o5/4*a - 2prapvixhi
x3x3x3o5/4*a - (contains gicdatrid)
x3x3o3x5/4*a - [Grünbaumian]
x3x3x3x5/4*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o3/2o3/2o3/2o5*a (µ=1214) o3/2o3o3/2o5/4*a (µ=1694) o3o3/2o3/2o5/4*a (µ=1786)
quasiregulars 
x3/2o3/2o3/2o5*a - sirdtaxady
o3/2x3/2o3/2o5*a - gidtixhi+dox

x3/2o3o3/2o5/4*a - sirdtaxady
o3/2x3o3/2o5/4*a - gidtixhi+dox

x3o3/2o3/2o5/4*a - sirdtaxady
o3x3/2o3/2o5/4*a - gidtixhi+dox
o3o3/2x3/2o5/4*a - gidtixhi+dox
o3o3/2o3/2x5/4*a - sirdtaxady
other
Wythoffians 
x3/2x3/2o3/2o5*a - [Grünbaumian]
x3/2o3/2x3/2o5*a - (contains gicdatrid)
x3/2o3/2o3/2x5*a - 2fry
o3/2x3/2x3/2o5*a - [Grünbaumian]
x3/2x3/2x3/2o5*a - [Grünbaumian]
x3/2x3/2o3/2x5*a - [Grünbaumian]
x3/2x3/2x3/2x5*a - [Grünbaumian]

x3/2x3o3/2o5/4*a - [Grünbaumian]
x3/2o3x3/2o5/4*a - (contains "2thah")
x3/2o3o3/2x5/4*a - [Grünbaumian]
o3/2x3x3/2o5/4*a - 2prapvixhi
x3/2x3x3/2o5/4*a - [Grünbaumian]
x3/2x3o3/2x5/4*a - [Grünbaumian]
x3/2x3x3/2x5/4*a - [Grünbaumian]

x3x3/2o3/2o5/4*a - gadixady
x3o3/2x3/2o5/4*a - (contains "2thah")
x3o3/2o3/2x5/4*a - [Grünbaumian]
o3x3/2x3/2o5/4*a - [Grünbaumian]
o3x3/2o3/2x5/4*a - (contains gicdatrid)
o3o3/2x3/2x5/4*a - [Grünbaumian]
x3x3/2x3/2o5/4*a - [Grünbaumian]
x3x3/2o3/2x5/4*a - [Grünbaumian]
x3o3/2x3/2x5/4*a - [Grünbaumian]
o3x3/2x3/2x5/4*a - [Grünbaumian]
x3x3/2x3/2x5/4*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o3o5/2*a   (up)

  o3o3o3o5/2*a (µ=34) o3o3o3/2o5/3*a (µ=566) o3o3/2o3/2o5/2*a (µ=806)
quasiregulars 
x3o3o3o5/2*a - gadtaxady
o3x3o3o5/2*a - sidtixhi+dox

x3o3o3/2o5/3*a - gadtaxady
o3x3o3/2o5/3*a - sidtixhi+dox
o3o3x3/2o5/3*a - sidtixhi+dox
o3o3o3/2x5/3*a - gadtaxady

x3o3/2o3/2o5/2*a - gadtaxady
o3x3/2o3/2o5/2*a - sidtixhi+dox
o3o3/2x3/2o5/2*a - sidtixhi+dox
o3o3/2o3/2x5/2*a - gadtaxady
other
Wythoffians 
x3x3o3o5/2*a - sadixady
x3o3x3o5/2*a - (contains sicdatrid)
x3o3o3x5/2*a - [Grünbaumian]
o3x3x3o5/2*a - 2papvixhi
x3x3x3o5/2*a - (contains sicdatrid)
x3x3o3x5/2*a - [Grünbaumian]
x3x3x3x5/2*a - [Grünbaumian]

x3x3o3/2o5/3*a - sadixady
x3o3x3/2o5/3*a - (contains sicdatrid)
x3o3o3/2x5/3*a - 2firgogishi
o3x3x3/2o5/3*a - 2papvixhi
o3x3o3/2x5/3*a - (contains "2thah")
o3o3x3/2x5/3*a - [Grünbaumian]
x3x3x3/2o5/3*a - (contains sicdatrid)
x3x3o3/2x5/3*a - (contains "2thah")
x3o3x3/2x5/3*a - [Grünbaumian]
o3x3x3/2x5/3*a - [Grünbaumian]
x3x3x3/2x5/3*a - [Grünbaumian]

x3x3/2o3/2o5/2*a - sadixady
x3o3/2x3/2o5/2*a - (contains "2thah")
x3o3/2o3/2x5/2*a - [Grünbaumian]
o3x3/2x3/2o5/2*a - [Grünbaumian]
o3x3/2o3/2x5/2*a - (contains sicdatrid)
o3o3/2x3/2x5/2*a - [Grünbaumian]
x3x3/2x3/2o5/2*a - [Grünbaumian]
x3x3/2o3/2x5/2*a - [Grünbaumian]
x3o3/2x3/2x5/2*a - [Grünbaumian]
o3x3/2x3/2x5/2*a - [Grünbaumian]
x3x3/2x3/2x5/2*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...
  o3o3/2o3o5/3*a (µ=994) o3/2o3o3/2o5/2*a (µ=1254) o3/2o3/2o3/2o5/3*a (µ=2194)
quasiregulars 
x3o3/2o3o5/3*a - gadtaxady
o3x3/2o3o5/3*a - sidtixhi+dox

x3/2o3o3/2o5/2*a - gadtaxady
o3/2x3o3/2o5/2*a - sidtixhi+dox

x3/2o3/2o3/2o5/3*a - gadtaxady
o3/2x3/2o3/2o5/3*a - sidtixhi+dox
other
Wythoffians 
x3x3/2o3o5/3*a - sadixady
x3o3/2x3o5/3*a - (contains "2thah")
x3o3/2o3x5/3*a - 2firgogishi
o3x3/2x3o5/3*a - [Grünbaumian]
x3x3/2x3o5/3*a - [Grünbaumian]
x3x3/2o3x5/3*a - (contains "2thah")
x3x3/2x3x5/3*a - [Grünbaumian]

x3/2x3o3/2o5/2*a - [Grünbaumian]
x3/2o3x3/2o5/2*a - (contains "2thah")
x3/2o3o3/2x5/2*a - [Grünbaumian]
o3/2x3x3/2o5/2*a - 2papvixhi
x3/2x3x3/2o5/2*a - [Grünbaumian]
x3/2x3o3/2x5/2*a - [Grünbaumian]
x3/2x3x3/2x5/2*a - [Grünbaumian]

x3/2x3/2o3/2o5/3*a - [Grünbaumian]
x3/2o3/2x3/2o5/3*a - (contains sicdatrid)
x3/2o3/2o3/2x5/3*a - 2firgogishi
o3/2x3/2x3/2o5/3*a - [Grünbaumian]
x3/2x3/2x3/2o5/3*a - [Grünbaumian]
x3/2x3/2o3/2x5/3*a - [Grünbaumian]
x3/2x3/2x3/2x5/3*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o5o3/2o5*a   (up)

  o3o5o3/2o5*a (µ=44) o3o5o3o5/4*a (µ=76) o3/2o5o3/2o5/4*a (µ=1276) o3o5/4o3/2o5/4*a (µ=2204)
quasiregulars 
x3o5o3/2o5*a - fix+gahi+120id
o3o5x3/2o5*a - fix+gahi+120id

x3o5o3o5/4*a - fix+gahi+120id
o3x5o3o5/4*a - fix+gahi+120id

x3/2o5o3/2o5/4*a - fix+gahi+120id
o3/2x5o3/2o5/4*a - fix+gahi+120id

x3o5/4o3/2o5/4*a - fix+gahi+120id
o3o5/4x3/2o5/4*a - fix+gahi+120id
other
Wythoffians 
x3x5o3/2o5*a - 2firsashi
x3o5x3/2o5*a - (contains gicdatrid)
x3o5o3/2x5*a - 2sprapivady
o3o5x3/2x5*a - [Grünbaumian]
x3x5x3/2o5*a - (contains gicdatrid)
x3o5x3/2x5*a - [Grünbaumian]
x3x5x3/2x5*a - [Grünbaumian]

x3x5o3o5/4*a - 2firsashi
x3o5x3o5/4*a - (contains gicdatrid)
x3o5o3x5/4*a - [Grünbaumian]
o3x5x3o5/4*a - 2sprapivady
x3x5x3o5/4*a - (contains gicdatrid)
x3x5o3x5/4*a - [Grünbaumian]
x3x5x3x5/4*a - [Grünbaumian]

x3/2x5o3/2o5/4*a - [Grünbaumian]
x3/2o5x3/2o5/4*a - (contains gicdatrid)
x3/2o5o3/2x5/4*a - [Grünbaumian]
o3/2x5x3/2o5/4*a - 2sprapivady
x3/2x5x3/2o5/4*a - [Grünbaumian]
x3/2x5o3/2x5/4*a - [Grünbaumian]
x3/2x5x3/2x5/4*a - [Grünbaumian]

x3x5/4o3/2o5/4*a - 2firsashi
x3o5/4x3/2o5/4*a - (contains gicdatrid)
x3o5/4o3/2x5/4*a - [Grünbaumian]
o3o5/4x3/2x5/4*a - [Grünbaumian]
x3x5/4x3/2o5/4*a - [Grünbaumian]
x3o5/4x3/2x5/4*a - [Grünbaumian]
x3x5/4x3/2x5/4*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o5/2o3o5/3*a   (up)

  o3o5/2o3o5/3*a (µ=364) o3o5/2o3/2o5/2*a (µ=476) o3o5/3o3/2o5/3*a (µ=1196) o3/2o5/2o3/2o5/3*a (µ=1564)
quasiregulars 
x3o5/2o3o5/3*a - gofix+gishi+120gid
o3x5/2o3o5/3*a - gofix+gishi+120gid

x3o5/2o3/2o5/2*a - gofix+gishi+120gid
o3o5/2x3/2o5/2*a - gofix+gishi+120gid

x3o5/3o3/2o5/3*a - gofix+gishi+120gid
o3o5/3x3/2o5/3*a - gofix+gishi+120gid

x3/2o5/2o3/2o5/3*a - gofix+gishi+120gid
o3/2x5/2o3/2o5/3*a - gofix+gishi+120gid
other
Wythoffians 
x3x5/2o3o5/3*a - 2firgaghi
x3o5/2x3o5/3*a - (contains sicdatrid)
x3o5/2o3x5/3*a - 2gippapivady
o3x5/2x3o5/3*a - [Grünbaumian]
x3x5/2x3o5/3*a - [Grünbaumian]
x3x5/2o3x5/3*a - (contains sicdatrid)
x3x5/2x3x5/3*a - [Grünbaumian]

x3x5/2o3/2o5/2*a - 2firgaghi
x3o5/2x3/2o5/2*a - (contains sicdatrid)
x3o5/2o3/2x5/2*a - [Grünbaumian]
o3o5/2x3/2x5/2*a - [Grünbaumian]
x3x5/2x3/2o5/2*a - [Grünbaumian]
x3o5/2x3/2x5/2*a - [Grünbaumian]
x3x5/2x3/2x5/2*a - [Grünbaumian]

x3x5/3o3/2o5/3*a - 2firgaghi
x3o5/3x3/2o5/3*a - (contains sicdatrid)
x3o5/3o3/2x5/3*a - 2gippapivady
o3o5/3x3/2x5/3*a - [Grünbaumian]
x3x5/3x3/2o5/3*a - (contains sicdatrid)
x3o5/3x3/2x5/3*a - [Grünbaumian]
x3x5/3x3/2x5/3*a - [Grünbaumian]

x3/2x5/2o3/2o5/3*a - [Grünbaumian]
x3/2o5/2x3/2o5/3*a - (contains sicdatrid)
x3/2o5/2o3/2x5/3*a - 2gippapivady
o3/2x5/2x3/2o5/3*a - [Grünbaumian]
x3/2x5/2x3/2o5/3*a - [Grünbaumian]
x3/2x5/2o3/2x5/3*a - [Grünbaumian]
x3/2x5/2x3/2x5/3*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

...


Hecatonicosachoral ("hyic") Symmetries – type o3o3o5o5/3*a   (up)

  o3o3o5o5/3*a (µ=55) o3/2o3o5o5/2*a (µ=65) o3o3/2o5o5/2*a (µ=295) o3o3o5/4o5/2*a (µ=545)
quasiregulars 
x3o3o5o5/3*a - gax+gashi+120gid
o3x3o5o5/3*a - dittady+dox
o3o3x5o5/3*a - ex+gohi+120id
o3o3o5x5/3*a - radatathi

x3/2o3o5o5/2*a - gax+gashi+120gid
o3/2x3o5o5/2*a - dittady+dox
o3/2o3x5o5/2*a - ex+gohi+120id
o3/2o3o5x5/2*a - radatathi

x3o3/2o5o5/2*a - gax+gashi+120gid
o3x3/2o5o5/2*a - dittady+dox
o3o3/2x5o5/2*a - ex+gohi+120id
o3o3/2o5x5/2*a - radatathi

x3o3o5/4o5/2*a - gax+gashi+120gid
o3x3o5/4o5/2*a - dittady+dox
o3o3x5/4o5/2*a - ex+gohi+120id
o3o3o5/4x5/2*a - radatathi
other
Wythoffians 
x3x3o5o5/3*a - gidpixathi
x3o3x5o5/3*a - (contains cadditradid)
x3o3o5x5/3*a - gixhidy
o3x3x5o5/3*a - sidpixathi
o3x3o5x5/3*a - sirfixthi
o3o3x5x5/3*a - sixhidy
x3x3x5o5/3*a - (contains cadditradid)
x3x3o5x5/3*a - sixathi
x3o3x5x5/3*a - hixady
o3x3x5x5/3*a - gixathi
x3x3x5x5/3*a - xithi

x3/2x3o5o5/2*a - [Grünbaumian]
x3/2o3x5o5/2*a - (contains "2thah")
x3/2o3o5x5/2*a - [Grünbaumian]
o3/2x3x5o5/2*a - sidpixathi
o3/2x3o5x5/2*a - sirfixthi
o3/2o3x5x5/2*a - sixhidy
x3/2x3x5o5/2*a - [Grünbaumian]
x3/2x3o5x5/2*a - [Grünbaumian]
x3/2o3x5x5/2*a - [Grünbaumian]
o3/2x3x5x5/2*a - gixathi
x3/2x3x5x5/2*a - [Grünbaumian]

x3x3/2o5o5/2*a - gidpixathi
x3o3/2x5o5/2*a - (contains "2thah")
x3o3/2o5x5/2*a - [Grünbaumian]
o3x3/2x5o5/2*a - [Grünbaumian]
o3x3/2o5x5/2*a - (contains sicdatrid)
o3o3/2x5x5/2*a - sixhidy
x3x3/2x5o5/2*a - [Grünbaumian]
x3x3/2o5x5/2*a - [Grünbaumian]
x3o3/2x5x5/2*a - [Grünbaumian]
o3x3/2x5x5/2*a - [Grünbaumian]
x3x3/2x5x5/2*a - [Grünbaumian]

x3x3o5/4o5/2*a - gidpixathi
x3o3x5/4o5/2*a - (contains cadditradid)
x3o3o5/4x5/2*a - [Grünbaumian]
o3x3x5/4o5/2*a - sidpixathi
o3x3o5/4x5/2*a - (contains sicdatrid)
o3o3x5/4x5/2*a - [Grünbaumian]
x3x3x5/4o5/2*a - (contains cadditradid)
x3x3o5/4x5/2*a - [Grünbaumian]
x3o3x5/4x5/2*a - [Grünbaumian]
o3x3x5/4x5/2*a - [Grünbaumian]
x3x3x5/4x5/2*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

...

...

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  o3/2o3/2o5o5/3*a (µ=1025) o3o3/2o5/4o5/3*a (µ=1505) o3/2o3o5/4o5/3*a (µ=1735) o3/2o3/2o5/4o5/2*a (µ=1975)
quasiregulars 
x3/2o3/2o5o5/3*a - gax+gashi+120gid
o3/2x3/2o5o5/3*a - dittady+dox
o3/2o3/2x5o5/3*a - ex+gohi+120id
o3/2o3/2o5x5/3*a - radatathi

x3o3/2o5/4o5/3*a - gax+gashi+120gid
o3x3/2o5/4o5/3*a - dittady+dox
o3o3/2x5/4o5/3*a - ex+gohi+120id
o3o3/2o5/4x5/3*a - radatathi

x3/2o3o5/4o5/3*a - gax+gashi+120gid
o3/2x3o5/4o5/3*a - dittady+dox
o3/2o3x5/4o5/3*a - ex+gohi+120id
o3/2o3o5/4x5/3*a - radatathi

x3/2o3/2o5/4o5/2*a - gax+gashi+120gid
o3/2x3/2o5/4o5/2*a - dittady+dox
o3/2o3/2x5/4o5/2*a - ex+gohi+120id
o3/2o3/2o5/4x5/2*a - radatathi
other
Wythoffians 
x3/2x3/2o5o5/3*a - [Grünbaumian]
x3/2o3/2x5o5/3*a - (contains cadditradid)
x3/2o3/2o5x5/3*a - gixhidy
o3/2x3/2x5o5/3*a - [Grünbaumian]
o3/2x3/2o5x5/3*a - (contains sicdatrid)
o3/2o3/2x5x5/3*a - sixhidy
x3/2x3/2x5o5/3*a - [Grünbaumian]
x3/2x3/2o5x5/3*a - [Grünbaumian]
x3/2o3/2x5x5/3*a - hixady
o3/2x3/2x5x5/3*a - [Grünbaumian]
x3/2x3/2x5x5/3*a - [Grünbaumian]

x3x3/2o5/4o5/3*a - gidpixathi
x3o3/2x5/4o5/3*a - (contains "2thah")
x3o3/2o5/4x5/3*a - gixhidy
o3x3/2x5/4o5/3*a - [Grünbaumian]
o3x3/2o5/4x5/3*a - sirfixthi
o3o3/2x5/4x5/3*a - [Grünbaumian]
x3x3/2x5/4o5/3*a - [Grünbaumian]
x3x3/2o5/4x5/3*a - sixathi
x3o3/2x5/4x5/3*a - [Grünbaumian]
o3x3/2x5/4x5/3*a - [Grünbaumian]
x3x3/2x5/4x5/3*a - [Grünbaumian]

x3/2x3o5/4o5/3*a - [Grünbaumian]
x3/2o3x5/4o5/3*a - (contains "2thah")
x3/2o3o5/4x5/3*a - gixhidy
o3/2x3x5/4o5/3*a - sidpixathi
o3/2x3o5/4x5/3*a - (contains sicdatrid)
o3/2o3x5/4x5/3*a - [Grünbaumian]
x3/2x3x5/4o5/3*a - [Grünbaumian]
x3/2x3o5/4x5/3*a - [Grünbaumian]
x3/2o3x5/4x5/3*a - [Grünbaumian]
o3/2x3x5/4x5/3*a - [Grünbaumian]
x3/2x3x5/4x5/3*a - [Grünbaumian]

x3/2x3/2o5/4o5/2*a - [Grünbaumian]
x3/2o3/2x5/4o5/2*a - (contains cadditradid)
x3/2o3/2o5/4x5/2*a - [Grünbaumian]
o3/2x3/2x5/4o5/2*a - [Grünbaumian]
o3/2x3/2o5/4x5/2*a - sirfixthi
o3/2o3/2x5/4x5/2*a - [Grünbaumian]
x3/2x3/2x5/4o5/2*a - [Grünbaumian]
x3/2x3/2o5/4x5/2*a - [Grünbaumian]
x3/2o3/2x5/4x5/2*a - [Grünbaumian]
o3/2x3/2x5/4x5/2*a - [Grünbaumian]
x3/2x3/2x5/4x5/2*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

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Hecatonicosachoral ("hyic") Symmetries – type o5o5/2o5o5/3*a   (up)

  o5o5/2o5o5/3*a (µ=108) o5o5/2o5/4o5/2*a (µ=252) o5o5/3o5/4o5/3*a (µ=972) o5/4o5/2o5/4o5/3*a (µ=2268)
quasiregulars 
x5o5/2o5o5/3*a - sishi+gaghi+120did
o5x5/2o5o5/3*a - sishi+gaghi+120did

x5o5/2o5/4o5/2*a - sishi+gaghi+120did
o5o5/2x5/4o5/2*a - sishi+gaghi+120did

x5o5/3o5/4o5/3*a - sishi+gaghi+120did
o5o5/3x5/4o5/3*a - sishi+gaghi+120did

x5/4o5/2o5/4o5/3*a - sishi+gaghi+120did
o5/4x5/2o5/4o5/3*a - sishi+gaghi+120did
other
Wythoffians 
x5x5/2o5o5/3*a - 2giprapivady
x5o5/2x5o5/3*a - (contains cadditradid)
x5o5/2o5x5/3*a - 2spapivady
o5x5/2x5o5/3*a - [Grünbaumian]
x5x5/2x5o5/3*a - [Grünbaumian]
x5x5/2o5x5/3*a - ebuthi
x5x5/2x5x5/3*a - [Grünbaumian]

x5x5/2o5/4o5/2*a - 2giprapivady
x5o5/2x5/4o5/2*a - (contains cadditradid)
x5o5/2o5/4x5/2*a - [Grünbaumian]
o5o5/2x5/4x5/2*a - [Grünbaumian]
x5x5/2x5/4o5/2*a - [Grünbaumian]
x5o5/2x5/4x5/2*a - [Grünbaumian]
x5x5/2x5/4x5/2*a - [Grünbaumian]

x5x5/3o5/4o5/3*a - 2giprapivady
x5o5/3x5/4o5/3*a - (contains cadditradid)
x5o5/3o5/4x5/3*a - 2spapivady
o5o5/3x5/4x5/3*a - [Grünbaumian]
x5x5/3x5/4o5/3*a - ebuthi
x5o5/3x5/4x5/3*a - [Grünbaumian]
x5x5/3x5/4x5/3*a - [Grünbaumian]

x5/4x5/2o5/4o5/3*a - [Grünbaumian]
x5/4o5/2x5/4o5/3*a - (contains cadditradid)
x5/4o5/2o5/4x5/3*a - 2spapivady
o5/4x5/2x5/4o5/3*a - [Grünbaumian]
x5/4x5/2x5/4o5/3*a - [Grünbaumian]
x5/4x5/2o5/4x5/3*a - [Grünbaumian]
x5/4x5/2x5/4x5/3*a - [Grünbaumian]
(partial)
snubs and
holosnubs 
...

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