| Site Map | Polytopes | Dynkin Diagrams | Vertex Figures, etc. | Incidence Matrices | Index |
---- 5D ----
This page is available sorted by point-group symmetry (below)
or by complexity (older version).
(For obvious reasons only the existing 4D graph types, which exist as subgroups in 5D as well, have to be extended here.)
| Linear | Tridental | Loop & Tail | |
|---|---|---|---|
o--P--o--Q--o--R--o--S--o
|
o-P-o-Q-o *b-R-o-S-o =
o_
-P_
>o--R--o--S--o
_Q-
o-
|
o-P-o-Q-o-R-o-S-o-T-*c =
_o
_R- |
o--P--o--Q--o< | S
-T_ |
-o
|
o-P-o-Q-o-R-o-S-o-T-*b =
o---P---o---Q---o
| |
T R
| |
o---S---o
|
| Two Armed | Two Legged | Prolate Crossed Rhomb & Tail | Oblate Crossed Rhomb & Tail |
o-P-o-Q-o-R-o *b-S-o-T-*c =
o--P--o--Q--o--R--o
\ /
S \ / T
o
|
o-P-o-Q-o-R-o-S-*b-T-o =
o_ _o
-P_ _Q- |
>o< | R
_T- -S_ |
o- -o
|
o-P-o-Q-o-R-o-S-o-T-*b *c-U-*e =
o---P---o---Q---o
\ / \
T U R
\ / \
o---S---o
|
o-P-o-Q-o-R-o-S-o-T-*b-U-*d =
o---Q---o---P---o
\ / \
R U T
\ / \
o---S---o
|
| Bowtie | Loop | House | Three Looped |
o-P-o-Q-o-R-*a-S-o-T-o-U-*a =
o_ _o
| -P_ _U- |
Q | >o< | T
| _R- -S_ |
o- -o
|
o-P-o-Q-o-R-o-S-o-T-*a =
_o_
_T- -P_
o- -o
\ /
S Q
\ /
o---R---o
|
o-P-o-Q-o-R-o-S-o-T-*a-U-*c =
o---T---o_
| | -P_
S U >o
| | _Q-
o---R---o
|
o-P-o-Q-o-R-*a-S-o-T-o-U-*a *c-V-*e =
o---P---o---U---o
\ / \ /
Q R S T
\ / \ /
o---V---o
|
| Tetrahedron & Tail | Others | ||
o-P-o-Q-o-R-o-S-o-T-*b-U-*d *c-V-*e =
_o
_- /|
_Q- R |
_- / |
o---P---o<---U---o V
-_ \ |
-T_ S |
-_ \|
-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.
Polytera 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.
| loop ones |
|---|
o-P-o-Q-o-R-o-S-o-T-*a =
_o_
_T- -P_
o- -o
\ /
S Q
\ /
o---R---o
|
Within spherical symmetry this type of Dynkin diagrams only allows for P,Q,R,S,T being 3 or 3/2 only. Furthermore in any kind of loop only an odd amount of 3/2 marks is allowed.
However, as can be seen from the below details, there remains just a single non-Grünbaumian Wythoffian in these types of symmetry after all: firn.
| o3o3o3o3o3/2*a | o3o3o3/2o3/2o3/2*a | o3o3/2o3o3/2o3/2*a | o3/2o3/2o3/2o3/2o3/2*a |
|---|---|---|---|
x3o3o3o3o3/2*a - "2dah" o3x3o3o3o3/2*a - "2dah" o3o3x3o3o3/2*a - "2dah" x3x3o3o3o3/2*a - firn x3o3x3o3o3/2*a - (contains "2firp") x3o3o3x3o3/2*a - (contains "2thah") x3o3o3o3x3/2*a - [Grünbaumian] o3x3x3o3o3/2*a - firn o3x3o3x3o3/2*a - (contains "2firp") x3x3x3o3o3/2*a - (contains "2firp") x3x3o3x3o3/2*a - (contains "2thah") x3x3o3o3x3/2*a - [Grünbaumian] x3o3x3x3o3/2*a - (contains "2thah") x3o3x3o3x3/2*a - [Grünbaumian] o3x3x3x3o3/2*a - (contains "2firp") x3x3x3x3o3/2*a - (contains "2thah") x3x3x3o3x3/2*a - [Grünbaumian] x3x3o3x3x3/2*a - [Grünbaumian] x3x3x3x3x3/2*a - [Grünbaumian] |
x3o3o3/2o3/2o3/2*a - "2dah" o3x3o3/2o3/2o3/2*a - "2dah" o3o3o3/2o3/2x3/2*a - "2dah" x3x3o3/2o3/2o3/2*a - firn x3o3x3/2o3/2o3/2*a - (contains "2firp") x3o3o3/2x3/2o3/2*a - (contains "2firp") x3o3o3/2o3/2x3/2*a - [Grünbaumian] o3x3o3/2o3/2x3/2*a - (contains "2thah") o3o3o3/2x3/2x3/2*a - [Grünbaumian] x3x3x3/2o3/2o3/2*a - (contains "2firp") x3x3o3/2x3/2o3/2*a - (contains "2thah") x3x3o3/2o3/2x3/2*a - [Grünbaumian] x3o3x3/2o3/2x3/2*a - [Grünbaumian] x3o3o3/2x3/2x3/2*a - [Grünbaumian] o3x3o3/2x3/2x3/2*a - [Grünbaumian] x3x3x3/2o3/2x3/2*a - [Grünbaumian] x3x3o3/2x3/2x3/2*a - [Grünbaumian] x3o3x3/2x3/2x3/2*a - [Grünbaumian] x3x3x3/2x3/2x3/2*a - [Grünbaumian] |
x3o3/2o3o3/2o3/2*a - "2dah" o3x3/2o3o3/2o3/2*a - "2dah" o3o3/2o3o3/2x3/2*a - "2dah" x3x3/2o3o3/2o3/2*a - firn x3o3/2x3o3/2o3/2*a - (contains "2thah") x3o3/2o3x3/2o3/2*a - (contains "2firp") x3o3/2o3o3/2x3/2*a - [Grünbaumian] o3x3/2x3o3/2o3/2*a - [Grünbaumian] o3x3/2o3o3/2x3/2*a - (contains "2thah") x3x3/2x3o3/2o3/2*a - [Grünbaumian] x3x3/2o3x3/2o3/2*a - (contains "2thah") x3x3/2o3o3/2x3/2*a - [Grünbaumian] x3o3/2x3o3/2x3/2*a - [Grünbaumian] x3o3/2o3x3/2x3/2*a - [Grünbaumian] o3x3/2x3o3/2x3/2*a - [Grünbaumian] x3x3/2x3x3/2o3/2*a - [Grünbaumian] x3x3/2x3o3/2x3/2*a - [Grünbaumian] x3x3/2o3x3/2x3/2*a - [Grünbaumian] x3x3/2x3x3/2x3/2*a - [Grünbaumian] |
x3/2o3/2o3/2o3/2o3/2*a - "2dah" x3/2x3/2o3/2o3/2o3/2*a - [Grünbaumian] x3/2o3/2x3/2o3/2o3/2*a - (contains "2firp") x3/2x3/2x3/2o3/2o3/2*a - [Grünbaumian] x3/2x3/2o3/2x3/2o3/2*a - [Grünbaumian] x3/2x3/2x3/2x3/2o3/2*a - [Grünbaumian] x3/2x3/2x3/2x3/2x3/2*a - [Grünbaumian] |
| house ones |
|---|
o-P-o-Q-o-R-o-S-o-T-*a-U-*c =
o---T---o_
| | -P_
S U >o
| | _Q-
o---R---o
|
Within spherical symmetry this type of Dynkin diagrams only allows for P,Q,R,S,T,U being 3 or 3/2 only. Furthermore in any (non-bridged) loop only an odd amount of 3/2 marks is allowed.
However, as can be seen from the below details, there remains just a single non-Grünbaumian Wythoffian in these types of symmetry after all: rorpdah.
| o3o3o3o3o3*a3/2*c | o3o3/2o3/2o3o3*a3*c | o3o3/2o3o3/2o3*a3*c |
|---|---|---|
x3o3o3o3o3*a3/2*c - (contains "2tet") o3x3o3o3o3*a3/2*c - (contains "2tet") o3o3o3o3x3*a3/2*c - (contains "2tho") x3x3o3o3o3*a3/2*c - (contains "2tho") x3o3x3o3o3*a3/2*c - [Grünbaumian] x3o3o3x3o3*a3/2*c - (contains "2thah") x3o3o3o3x3*a3/2*c - (contains "2tet") o3x3o3o3x3*a3/2*c - (contains "2tho") o3o3o3x3x3*a3/2*c - (contains "2pen") x3x3x3o3o3*a3/2*c - [Grünbaumian] x3x3o3x3o3*a3/2*c - (contains "2thah") x3x3o3o3x3*a3/2*c - rorpdah x3o3x3o3x3*a3/2*c - [Grünbaumian] x3o3o3x3x3*a3/2*c - (contains "2thah") o3x3o3x3x3*a3/2*c - (contains "2tet") x3x3x3o3x3*a3/2*c - [Grünbaumian] x3x3o3x3x3*a3/2*c - (contains "2thah") x3o3x3x3x3*a3/2*c - [Grünbaumian] x3x3x3x3x3*a3/2*c - [Grünbaumian] |
x3o3/2o3/2o3o3*a3*c - (contains "2tet") o3x3/2o3/2o3o3*a3*c - (contains "2tet") o3o3/2x3/2o3o3*a3*c - (contains "2tet") o3o3/2o3/2x3o3*a3*c - (contains "2tho") o3o3/2o3/2o3x3*a3*c - (contains "2tho") x3x3/2o3/2o3o3*a3*c - (contains "2tho") x3o3/2x3/2o3o3*a3*c - (contains "2thah") x3o3/2o3/2x3o3*a3*c - (contains "2thah") x3o3/2o3/2o3x3*a3*c - (contains "2tet") o3x3/2x3/2o3o3*a3*c - [Grünbaumian] o3x3/2o3/2x3o3*a3*c - (contains "2tet") o3x3/2o3/2o3x3*a3*c - (contains "2tet") o3o3/2x3/2x3o3*a3*c - [Grünbaumian] o3o3/2x3/2o3x3*a3*c - (contains "2tet") o3o3/2o3/2x3x3*a3*c - (contains "2pen") x3x3/2x3/2o3o3*a3*c - [Grünbaumian] x3x3/2o3/2x3o3*a3*c - (contains "2thah") x3x3/2o3/2o3x3*a3*c - rorpdah x3o3/2x3/2x3o3*a3*c - [Grünbaumian] x3o3/2x3/2o3x3*a3*c - (contains "2thah") x3o3/2o3/2x3x3*a3*c - (contains "2thah") o3x3/2x3/2x3o3*a3*c - [Grünbaumian] o3x3/2x3/2o3x3*a3*c - [Grünbaumian] o3x3/2o3/2x3x3*a3*c - (contains "2tet") o3o3/2x3/2x3x3*a3*c - [Grünbaumian] x3x3/2x3/2x3o3*a3*c - [Grünbaumian] x3x3/2x3/2o3x3*a3*c - [Grünbaumian] x3x3/2o3/2x3x3*a3*c - (contains "2thah") x3o3/2x3/2x3x3*a3*c - [Grünbaumian] o3x3/2x3/2x3x3*a3*c - [Grünbaumian] x3x3/2x3/2x3x3*a3*c - [Grünbaumian] |
x3o3/2o3o3/2o3*a3*c - (contains "2tet") o3x3/2o3o3/2o3*a3*c - (contains "2tet") o3o3/2x3o3/2o3*a3*c - (contains "2tet") o3o3/2o3x3/2o3*a3*c - (contains "2tho") o3o3/2o3o3/2x3*a3*c - (contains "2tho") x3x3/2o3o3/2o3*a3*c - (contains "2tho") x3o3/2x3o3/2o3*a3*c - (contains "2thah") x3o3/2o3x3/2o3*a3*c - (contains "2tet") x3o3/2o3o3/2x3*a3*c - (contains "2tet") o3x3/2x3o3/2o3*a3*c - [Grünbaumian] o3x3/2o3x3/2o3*a3*c - (contains "2thah") o3x3/2o3o3/2x3*a3*c - (contains "2tet") o3o3/2x3x3/2o3*a3*c - (contains "2tet") o3o3/2x3o3/2x3*a3*c - (contains "2thah") o3o3/2o3x3/2x3*a3*c - [Grünbaumian] x3x3/2x3o3/2o3*a3*c - [Grünbaumian] x3x3/2o3x3/2o3*a3*c - (contains "2thah") x3x3/2o3o3/2x3*a3*c - rorpdah x3o3/2x3x3/2o3*a3*c - (contains "2thah") x3o3/2x3o3/2x3*a3*c - (contains "2thah") x3o3/2o3x3/2x3*a3*c - [Grünbaumian] o3x3/2x3x3/2o3*a3*c - [Grünbaumian] o3x3/2x3o3/2x3*a3*c - [Grünbaumian] o3x3/2o3x3/2x3*a3*c - [Grünbaumian] o3o3/2x3x3/2x3*a3*c - [Grünbaumian] x3x3/2x3x3/2o3*a3*c - [Grünbaumian] x3x3/2x3o3/2x3*a3*c - [Grünbaumian] x3x3/2o3x3/2x3*a3*c - [Grünbaumian] x3o3/2x3x3/2x3*a3*c - [Grünbaumian] o3x3/2x3x3/2x3*a3*c - [Grünbaumian] x3x3/2x3x3/2x3*a3*c - [Grünbaumian] |
| o3/2o3o3/2o3o3*a3*c | o3o3o3/2o3/2o3*a3/2*c | o3o3o3/2o3o3/2*a3/2*c |
x3/2o3o3/2o3o3*a3*c - (contains "2tet") o3/2x3o3/2o3o3*a3*c - (contains "2tet") o3/2o3x3/2o3o3*a3*c - (contains "2tet") o3/2o3o3/2x3o3*a3*c - (contains "2tho") o3/2o3o3/2o3x3*a3*c - (contains "2tho") x3/2x3o3/2o3o3*a3*c - [Grünbaumian] x3/2o3x3/2o3o3*a3*c - (contains "2thah") x3/2o3o3/2x3o3*a3*c - (contains "2tet") x3/2o3o3/2o3x3*a3*c - (contains "2tet") o3/2x3x3/2o3o3*a3*c - (contains "2tho") o3/2x3o3/2x3o3*a3*c - (contains "2thah") o3/2x3o3/2o3x3*a3*c - (contains "2tet") o3/2o3x3/2x3o3*a3*c - [Grünbaumian] o3/2o3x3/2o3x3*a3*c - (contains "2thah") o3/2o3o3/2x3x3*a3*c - (contains "2pen") x3/2x3x3/2o3o3*a3*c - [Grünbaumian] x3/2x3o3/2x3o3*a3*c - [Grünbaumian] x3/2x3o3/2o3x3*a3*c - [Grünbaumian] x3/2o3x3/2x3o3*a3*c - [Grünbaumian] x3/2o3x3/2o3x3*a3*c - (contains "2thah") x3/2o3o3/2x3x3*a3*c - (contains "2thah") o3/2x3x3/2x3o3*a3*c - [Grünbaumian] o3/2x3x3/2o3x3*a3*c - (contains "2thah") o3/2x3o3/2x3x3*a3*c - (contains "2thah") o3/2o3x3/2x3x3*a3*c - [Grünbaumian] x3/2x3x3/2x3o3*a3*c - [Grünbaumian] x3/2x3x3/2o3x3*a3*c - [Grünbaumian] x3/2x3o3/2x3x3*a3*c - [Grünbaumian] x3/2o3x3/2x3x3*a3*c - [Grünbaumian] o3/2x3x3/2x3x3*a3*c - [Grünbaumian] x3/2x3x3/2x3x3*a3*c - [Grünbaumian] |
x3o3o3/2o3/2o3*a3/2*c - (contains "2tet") o3x3o3/2o3/2o3*a3/2*c - (contains "2tet") o3o3x3/2o3/2o3*a3/2*c - (contains "2tet") o3o3o3/2x3/2o3*a3/2*c - (contains "2tho") o3o3o3/2o3/2x3*a3/2*c - (contains "2tho") x3x3o3/2o3/2o3*a3/2*c - (contains "2tho") x3o3x3/2o3/2o3*a3/2*c - [Grünbaumian] x3o3o3/2x3/2o3*a3/2*c - (contains "2thah") x3o3o3/2o3/2x3*a3/2*c - (contains "2tet") o3x3x3/2o3/2o3*a3/2*c - (contains "2tho") o3x3o3/2x3/2o3*a3/2*c - (contains "2thah") o3x3o3/2o3/2x3*a3/2*c - (contains "2tet") o3o3x3/2x3/2o3*a3/2*c - [Grünbaumian] o3o3x3/2o3/2x3*a3/2*c - (contains "2thah") o3o3o3/2x3/2x3*a3/2*c - [Grünbaumian] x3x3x3/2o3/2o3*a3/2*c - [Grünbaumian] x3x3o3/2x3/2o3*a3/2*c - (contains "2thah") x3x3o3/2o3/2x3*a3/2*c - rorpdah x3o3x3/2x3/2o3*a3/2*c - [Grünbaumian] x3o3x3/2o3/2x3*a3/2*c - [Grünbaumian] x3o3o3/2x3/2x3*a3/2*c - [Grünbaumian] o3x3x3/2x3/2o3*a3/2*c - [Grünbaumian] o3x3x3/2o3/2x3*a3/2*c - (contains "2thah") o3x3o3/2x3/2x3*a3/2*c - [Grünbaumian] o3o3x3/2x3/2x3*a3/2*c - [Grünbaumian] x3x3x3/2x3/2o3*a3/2*c - [Grünbaumian] x3x3x3/2o3/2x3*a3/2*c - [Grünbaumian] x3x3o3/2x3/2x3*a3/2*c - [Grünbaumian] x3o3x3/2x3/2x3*a3/2*c - [Grünbaumian] o3x3x3/2x3/2x3*a3/2*c - [Grünbaumian] x3x3x3/2x3/2x3*a3/2*c - [Grünbaumian] |
x3o3o3/2o3o3/2*a3/2*c - (contains "2tet") o3x3o3/2o3o3/2*a3/2*c - (contains "2tet") o3o3o3/2o3x3/2*a3/2*c - (contains "2tho") x3x3o3/2o3o3/2*a3/2*c - (contains "2tho") x3o3x3/2o3o3/2*a3/2*c - [Grünbaumian] x3o3o3/2x3o3/2*a3/2*c - (contains "2tet") x3o3o3/2o3x3/2*a3/2*c - [Grünbaumian] o3x3o3/2o3x3/2*a3/2*c - (contains "2thah") o3o3o3/2x3x3/2*a3/2*c - (contains "2pen") x3x3x3/2o3o3/2*a3/2*c - [Grünbaumian] x3x3o3/2x3o3/2*a3/2*c - (contains "2thah") x3x3o3/2o3x3/2*a3/2*c - [Grünbaumian] x3o3x3/2o3x3/2*a3/2*c - [Grünbaumian] x3o3o3/2x3x3/2*a3/2*c - [Grünbaumian] o3x3o3/2x3x3/2*a3/2*c - (contains "2thah") x3x3x3/2o3x3/2*a3/2*c - [Grünbaumian] x3x3o3/2x3x3/2*a3/2*c - [Grünbaumian] x3o3x3/2x3x3/2*a3/2*c - [Grünbaumian] x3x3x3/2x3x3/2*a3/2*c - [Grünbaumian] |
| o3o3/2o3/2o3/2o3/2*a3*c | o3/2o3/2o3/2o3o3/2*a3/2*c | o3/2o3/2o3/2o3/2o3*a3/2*c |
x3o3/2o3/2o3/2o3/2*a3*c - (contains "2tet") o3x3/2o3/2o3/2o3/2*a3*c - (contains "2tet") o3o3/2x3/2o3/2o3/2*a3*c - (contains "2tet") o3o3/2o3/2x3/2o3/2*a3*c - (contains "2tho") o3o3/2o3/2o3/2x3/2*a3*c - (contains "2tho") x3x3/2o3/2o3/2o3/2*a3*c - (contains "2tho") x3o3/2x3/2o3/2o3/2*a3*c - (contains "2thah") x3o3/2o3/2x3/2o3/2*a3*c - (contains "2thah") x3o3/2o3/2o3/2x3/2*a3*c - [Grünbaumian] o3x3/2x3/2o3/2o3/2*a3*c - [Grünbaumian] o3x3/2o3/2x3/2o3/2*a3*c - (contains "2tet") o3x3/2o3/2o3/2x3/2*a3*c - (contains "2thah") o3o3/2x3/2x3/2o3/2*a3*c - [Grünbaumian] o3o3/2x3/2o3/2x3/2*a3*c - (contains "2thah") o3o3/2o3/2x3/2x3/2*a3*c - [Grünbaumian] x3x3/2x3/2o3/2o3/2*a3*c - [Grünbaumian] x3x3/2o3/2x3/2o3/2*a3*c - (contains "2thah") x3x3/2o3/2o3/2x3/2*a3*c - [Grünbaumian] x3o3/2x3/2x3/2o3/2*a3*c - [Grünbaumian] x3o3/2x3/2o3/2x3/2*a3*c - [Grünbaumian] x3o3/2o3/2x3/2x3/2*a3*c - [Grünbaumian] o3x3/2x3/2x3/2o3/2*a3*c - [Grünbaumian] o3x3/2x3/2o3/2x3/2*a3*c - [Grünbaumian] o3x3/2o3/2x3/2x3/2*a3*c - [Grünbaumian] o3o3/2x3/2x3/2x3/2*a3*c - [Grünbaumian] x3x3/2x3/2x3/2o3/2*a3*c - [Grünbaumian] x3x3/2x3/2o3/2x3/2*a3*c - [Grünbaumian] x3x3/2o3/2x3/2x3/2*a3*c - [Grünbaumian] x3o3/2x3/2x3/2x3/2*a3*c - [Grünbaumian] o3x3/2x3/2x3/2x3/2*a3*c - [Grünbaumian] x3x3/2x3/2x3/2x3/2*a3*c - [Grünbaumian] |
x3/2o3/2o3/2o3o3/2*a3/2*c - (contains "2tet") o3/2x3/2o3/2o3o3/2*a3/2*c - (contains "2tet") o3/2o3/2o3/2o3x3/2*a3/2*c - (contains "2tho") x3/2x3/2o3/2o3o3/2*a3/2*c - [Grünbaumian] x3/2o3/2x3/2o3o3/2*a3/2*c - [Grünbaumian] x3/2o3/2o3/2x3o3/2*a3/2*c - (contains "2thah") x3/2o3/2o3/2o3x3/2*a3/2*c - [Grünbaumian] o3/2x3/2o3/2o3x3/2*a3/2*c - (contains "2tet") o3/2o3/2o3/2x3x3/2*a3/2*c - (contains "2pen") x3/2x3/2x3/2o3o3/2*a3/2*c - [Grünbaumian] x3/2x3/2o3/2x3o3/2*a3/2*c - [Grünbaumian] x3/2x3/2o3/2o3x3/2*a3/2*c - [Grünbaumian] x3/2o3/2x3/2o3x3/2*a3/2*c - [Grünbaumian] x3/2o3/2o3/2x3x3/2*a3/2*c - [Grünbaumian] o3/2x3/2o3/2x3x3/2*a3/2*c - (contains "2tet") x3/2x3/2x3/2o3x3/2*a3/2*c - [Grünbaumian] x3/2x3/2o3/2x3x3/2*a3/2*c - [Grünbaumian] x3/2o3/2x3/2x3x3/2*a3/2*c - [Grünbaumian] x3/2x3/2x3/2x3x3/2*a3/2*c - [Grünbaumian] |
x3/2o3/2o3/2o3/2o3*a3/2*c - (contains "2tet") o3/2x3/2o3/2o3/2o3*a3/2*c - (contains "2tet") o3/2o3/2x3/2o3/2o3*a3/2*c - (contains "2tet") o3/2o3/2o3/2x3/2o3*a3/2*c - (contains "2tho") o3/2o3/2o3/2o3/2x3*a3/2*c - (contains "2tho") x3/2x3/2o3/2o3/2o3*a3/2*c - [Grünbaumian] x3/2o3/2x3/2o3/2o3*a3/2*c - [Grünbaumian] x3/2o3/2o3/2x3/2o3*a3/2*c - (contains "2thah") x3/2o3/2o3/2o3/2x3*a3/2*c - (contains "2tet") o3/2x3/2x3/2o3/2o3*a3/2*c - [Grünbaumian] o3/2x3/2o3/2x3/2o3*a3/2*c - (contains "2tet") o3/2x3/2o3/2o3/2x3*a3/2*c - (contains "2thah") o3/2o3/2x3/2x3/2o3*a3/2*c - [Grünbaumian] o3/2o3/2x3/2o3/2x3*a3/2*c - (contains "2thah") o3/2o3/2o3/2x3/2x3*a3/2*c - [Grünbaumian] x3/2x3/2x3/2o3/2o3*a3/2*c - [Grünbaumian] x3/2x3/2o3/2x3/2o3*a3/2*c - [Grünbaumian] x3/2x3/2o3/2o3/2x3*a3/2*c - [Grünbaumian] x3/2o3/2x3/2x3/2o3*a3/2*c - [Grünbaumian] x3/2o3/2x3/2o3/2x3*a3/2*c - [Grünbaumian] x3/2o3/2o3/2x3/2x3*a3/2*c - [Grünbaumian] o3/2x3/2x3/2x3/2o3*a3/2*c - [Grünbaumian] o3/2x3/2x3/2o3/2x3*a3/2*c - [Grünbaumian] o3/2x3/2o3/2x3/2x3*a3/2*c - [Grünbaumian] o3/2o3/2x3/2x3/2x3*a3/2*c - [Grünbaumian] x3/2x3/2x3/2x3/2o3*a3/2*c - [Grünbaumian] x3/2x3/2x3/2o3/2x3*a3/2*c - [Grünbaumian] x3/2x3/2o3/2x3/2x3*a3/2*c - [Grünbaumian] x3/2o3/2x3/2x3/2x3*a3/2*c - [Grünbaumian] o3/2x3/2x3/2x3/2x3*a3/2*c - [Grünbaumian] x3/2x3/2x3/2x3/2x3*a3/2*c - [Grünbaumian] |
| three looped ones |
|---|
o-P-o-Q-o-R-*a-S-o-T-o-U-*a *c-V-*e =
o---P---o---U---o
\ / \ /
Q R S T
\ / \ /
o---V---o
|
Within spherical symmetry this type of Dynkin diagrams only allows for P,Q,R,S,T,U,V being 3 or 3/2 only, where any triangular loop, when considered alone, moreover allows for an odd amount of 3/2 marks only.
However, as can be seen from the below details, there remains no non-Grünbaumian Wythoffian in these types of symmetry after all.
| o3o3/2o3*a3o3/2o3*a *c3/2*d | o3/2o3o3*a3o3/2o3*a *c3/2*d | o3/2o3o3*a3o3o3/2*a *c3/2*d | |
|---|---|---|---|
x3o3/2o3*a3o3/2o3*a *c3/2*d - (contains "2tet") o3x3/2o3*a3o3/2o3*a *c3/2*d - (contains "2tet") o3o3/2x3*a3o3/2o3*a *c3/2*d - (contains "2tet") x3x3/2o3*a3o3/2o3*a *c3/2*d - (contains "2tet") x3o3/2x3*a3o3/2o3*a *c3/2*d - (contains "2tet") o3x3/2x3*a3o3/2o3*a *c3/2*d - [Grünbaumian] o3x3/2o3*a3x3/2o3*a *c3/2*d - (contains "2tet") o3x3/2o3*a3o3/2x3*a *c3/2*d - (contains "2tet") o3o3/2x3*a3x3/2o3*a *c3/2*d - [Grünbaumian] x3x3/2x3*a3o3/2o3*a *c3/2*d - [Grünbaumian] x3x3/2o3*a3x3/2o3*a *c3/2*d - (contains "2oh") x3x3/2o3*a3o3/2x3*a *c3/2*d - (contains "2tet") x3o3/2x3*a3x3/2o3*a *c3/2*d - [Grünbaumian] o3x3/2x3*a3x3/2o3*a *c3/2*d - [Grünbaumian] o3x3/2x3*a3o3/2x3*a *c3/2*d - [Grünbaumian] x3x3/2x3*a3x3/2o3*a *c3/2*d - [Grünbaumian] x3x3/2x3*a3o3/2x3*a *c3/2*d - [Grünbaumian] o3x3/2x3*a3x3/2x3*a *c3/2*d - [Grünbaumian] x3x3/2x3*a3x3/2x3*a *c3/2*d - [Grünbaumian] |
x3/2o3o3*a3o3/2o3*a *c3/2*d - (contains "2tet") o3/2x3o3*a3o3/2o3*a *c3/2*d - (contains "2tet") o3/2o3x3*a3o3/2o3*a *c3/2*d - (contains "2tet") o3/2o3o3*a3x3/2o3*a *c3/2*d - (contains "2tet") o3/2o3o3*a3o3/2x3*a *c3/2*d - (contains "2tet") x3/2x3o3*a3o3/2o3*a *c3/2*d - [Grünbaumian] x3/2o3x3*a3o3/2o3*a *c3/2*d - (contains "2tet") x3/2o3o3*a3x3/2o3*a *c3/2*d - (contains "2tet") x3/2o3o3*a3o3/2x3*a *c3/2*d - (contains "2tet") o3/2x3x3*a3o3/2o3*a *c3/2*d - (contains "2tet") o3/2x3o3*a3x3/2o3*a *c3/2*d - (contains "2tet") o3/2x3o3*a3o3/2x3*a *c3/2*d - (contains "2tet") o3/2o3x3*a3x3/2o3*a *c3/2*d - [Grünbaumian] o3/2o3x3*a3o3/2x3*a *c3/2*d - (contains "2tet") o3/2o3o3*a3x3/2x3*a *c3/2*d - [Grünbaumian] x3/2x3x3*a3o3/2o3*a *c3/2*d - [Grünbaumian] x3/2x3o3*a3x3/2o3*a *c3/2*d - [Grünbaumian] x3/2x3o3*a3o3/2x3*a *c3/2*d - [Grünbaumian] x3/2o3x3*a3x3/2o3*a *c3/2*d - [Grünbaumian] x3/2o3x3*a3o3/2x3*a *c3/2*d - (contains "2oh") x3/2o3o3*a3x3/2x3*a *c3/2*d - [Grünbaumian] o3/2x3x3*a3x3/2o3*a *c3/2*d - [Grünbaumian] o3/2x3x3*a3o3/2x3*a *c3/2*d - (contains "2tet") o3/2x3o3*a3x3/2x3*a *c3/2*d - [Grünbaumian] o3/2o3x3*a3x3/2x3*a *c3/2*d - [Grünbaumian] x3/2x3x3*a3x3/2o3*a *c3/2*d - [Grünbaumian] x3/2x3x3*a3o3/2x3*a *c3/2*d - [Grünbaumian] x3/2x3o3*a3x3/2x3*a *c3/2*d - [Grünbaumian] x3/2o3x3*a3x3/2x3*a *c3/2*d - [Grünbaumian] o3/2x3x3*a3x3/2x3*a *c3/2*d - [Grünbaumian] x3/2x3x3*a3x3/2x3*a *c3/2*d - [Grünbaumian] |
x3/2o3o3*a3o3o3/2*a *c3/2*d - (contains "2tet") o3/2x3o3*a3o3o3/2*a *c3/2*d - (contains "2tet") o3/2o3x3*a3o3o3/2*a *c3/2*d - (contains "2tet") x3/2x3o3*a3o3o3/2*a *c3/2*d - [Grünbaumian] x3/2o3x3*a3o3o3/2*a *c3/2*d - (contains "2tet") o3/2x3x3*a3o3o3/2*a *c3/2*d - (contains "2tet") o3/2x3o3*a3x3o3/2*a *c3/2*d - (contains "2tet") o3/2x3o3*a3o3x3/2*a *c3/2*d - (contains "2tet") o3/2o3x3*a3x3o3/2*a *c3/2*d - [Grünbaumian] x3/2x3x3*a3o3o3/2*a *c3/2*d - [Grünbaumian] x3/2x3o3*a3x3o3/2*a *c3/2*d - [Grünbaumian] x3/2x3o3*a3o3x3/2*a *c3/2*d - [Grünbaumian] x3/2o3x3*a3x3o3/2*a *c3/2*d - [Grünbaumian] o3/2x3x3*a3x3o3/2*a *c3/2*d - [Grünbaumian] o3/2x3x3*a3o3x3/2*a *c3/2*d - (contains "2tet") x3/2x3x3*a3x3o3/2*a *c3/2*d - [Grünbaumian] x3/2x3x3*a3o3x3/2*a *c3/2*d - [Grünbaumian] o3/2x3x3*a3x3x3/2*a *c3/2*d - [Grünbaumian] x3/2x3x3*a3x3x3/2*a *c3/2*d - [Grünbaumian] | |
| o3o3/2o3*a3/2o3o3*a *c3*d | o3/2o3o3*a3/2o3o3*a *c3*d | o3o3/2o3*a3/2o3/2o3/2*a *c3*d | o3/2o3o3*a3/2o3/2o3/2*a *c3*d |
x3o3/2o3*a3/2o3o3*a *c3*d - (contains "2tet") o3x3/2o3*a3/2o3o3*a *c3*d - (contains "2tet") o3o3/2x3*a3/2o3o3*a *c3*d - (contains "2tet") o3o3/2o3*a3/2x3o3*a *c3*d - (contains "2tet") o3o3/2o3*a3/2o3x3*a *c3*d - (contains "2tet") x3x3/2o3*a3/2o3o3*a *c3*d - (contains "2tet") x3o3/2x3*a3/2o3o3*a *c3*d - (contains "2tet") x3o3/2o3*a3/2x3o3*a *c3*d - [Grünbaumian] x3o3/2o3*a3/2o3x3*a *c3*d - (contains "2tet") o3x3/2x3*a3/2o3o3*a *c3*d - [Grünbaumian] o3x3/2o3*a3/2x3o3*a *c3*d - (contains "2tet") o3x3/2o3*a3/2o3x3*a *c3*d - (contains "2tet") o3o3/2x3*a3/2x3o3*a *c3*d - (contains "2tet") o3o3/2x3*a3/2o3x3*a *c3*d - (contains "2tet") o3o3/2o3*a3/2x3x3*a *c3*d - (contains "2tet") x3x3/2x3*a3/2o3o3*a *c3*d - [Grünbaumian] x3x3/2o3*a3/2x3o3*a *c3*d - [Grünbaumian] x3x3/2o3*a3/2o3x3*a *c3*d - (contains "2tet") x3o3/2x3*a3/2x3o3*a *c3*d - [Grünbaumian] x3o3/2x3*a3/2o3x3*a *c3*d - (contains "2oh") x3o3/2o3*a3/2x3x3*a *c3*d - [Grünbaumian] o3x3/2x3*a3/2x3o3*a *c3*d - [Grünbaumian] o3x3/2x3*a3/2o3x3*a *c3*d - [Grünbaumian] o3x3/2o3*a3/2x3x3*a *c3*d - (contains "2tet") o3o3/2x3*a3/2x3x3*a *c3*d - (contains "2tet") x3x3/2x3*a3/2x3o3*a *c3*d - [Grünbaumian] x3x3/2x3*a3/2o3x3*a *c3*d - [Grünbaumian] x3x3/2o3*a3/2x3x3*a *c3*d - [Grünbaumian] x3o3/2x3*a3/2x3x3*a *c3*d - [Grünbaumian] o3x3/2x3*a3/2x3x3*a *c3*d - [Grünbaumian] x3x3/2x3*a3/2x3x3*a *c3*d - [Grünbaumian] |
x3/2o3o3*a3/2o3o3*a *c3*d - (contains "2tet") o3/2x3o3*a3/2o3o3*a *c3*d - (contains "2tet") o3/2o3x3*a3/2o3o3*a *c3*d - (contains "2tet") o3/2o3o3*a3/2x3o3*a *c3*d - (contains "2tet") o3/2o3o3*a3/2o3x3*a *c3*d - (contains "2tet") x3/2x3o3*a3/2o3o3*a *c3*d - [Grünbaumian] x3/2o3x3*a3/2o3o3*a *c3*d - (contains "2tet") x3/2o3o3*a3/2x3o3*a *c3*d - [Grünbaumian] x3/2o3o3*a3/2o3x3*a *c3*d - (contains "2tet") o3/2x3x3*a3/2o3o3*a *c3*d - (contains "2tet") o3/2x3o3*a3/2x3o3*a *c3*d - (contains "2tet") o3/2x3o3*a3/2o3x3*a *c3*d - (contains "2tet") o3/2o3x3*a3/2x3o3*a *c3*d - (contains "2tet") o3/2o3x3*a3/2o3x3*a *c3*d - (contains "2tet") o3/2o3o3*a3/2x3x3*a *c3*d - (contains "2tet") x3/2x3x3*a3/2o3o3*a *c3*d - [Grünbaumian] x3/2x3o3*a3/2x3o3*a *c3*d - [Grünbaumian] x3/2x3o3*a3/2o3x3*a *c3*d - [Grünbaumian] x3/2o3x3*a3/2x3o3*a *c3*d - [Grünbaumian] x3/2o3x3*a3/2o3x3*a *c3*d - (contains "2oh") x3/2o3o3*a3/2x3x3*a *c3*d - [Grünbaumian] o3/2x3x3*a3/2x3o3*a *c3*d - (contains "2tet") o3/2x3x3*a3/2o3x3*a *c3*d - (contains "2tet") o3/2x3o3*a3/2x3x3*a *c3*d - (contains "2tet") o3/2o3x3*a3/2x3x3*a *c3*d - (contains "2tet") x3/2x3x3*a3/2x3o3*a *c3*d - [Grünbaumian] x3/2x3x3*a3/2o3x3*a *c3*d - [Grünbaumian] x3/2x3o3*a3/2x3x3*a *c3*d - [Grünbaumian] x3/2o3x3*a3/2x3x3*a *c3*d - [Grünbaumian] o3/2x3x3*a3/2x3x3*a *c3*d - (contains "2thah") x3/2x3x3*a3/2x3x3*a *c3*d - [Grünbaumian] |
x3o3/2o3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") o3x3/2o3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") o3o3/2x3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") o3o3/2o3*a3/2x3/2o3/2*a *c3*d - (contains "2tet") o3o3/2o3*a3/2o3/2x3/2*a *c3*d - (contains "2tet") x3x3/2o3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") x3o3/2x3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") x3o3/2o3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] x3o3/2o3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] o3x3/2x3*a3/2o3/2o3/2*a *c3*d - [Grünbaumian] o3x3/2o3*a3/2x3/2o3/2*a *c3*d - (contains "2tet") o3x3/2o3*a3/2o3/2x3/2*a *c3*d - (contains "2tet") o3o3/2x3*a3/2x3/2o3/2*a *c3*d - (contains "2tet") o3o3/2x3*a3/2o3/2x3/2*a *c3*d - (contains "2tet") o3o3/2o3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] x3x3/2x3*a3/2o3/2o3/2*a *c3*d - [Grünbaumian] x3x3/2o3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] x3x3/2o3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] x3o3/2x3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] x3o3/2x3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] x3o3/2o3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] o3x3/2x3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] o3x3/2x3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] o3x3/2o3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] o3o3/2x3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] x3x3/2x3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] x3x3/2x3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] x3x3/2o3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] x3o3/2x3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] o3x3/2x3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] x3x3/2x3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] |
x3/2o3o3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") o3/2x3o3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") o3/2o3x3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") o3/2o3o3*a3/2x3/2o3/2*a *c3*d - (contains "2tet") o3/2o3o3*a3/2o3/2x3/2*a *c3*d - (contains "2tet") x3/2x3o3*a3/2o3/2o3/2*a *c3*d - [Grünbaumian] x3/2o3x3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") x3/2o3o3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] x3/2o3o3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] o3/2x3x3*a3/2o3/2o3/2*a *c3*d - (contains "2tet") o3/2x3o3*a3/2x3/2o3/2*a *c3*d - (contains "2tet") o3/2x3o3*a3/2o3/2x3/2*a *c3*d - (contains "2tet") o3/2o3x3*a3/2x3/2o3/2*a *c3*d - (contains "2tet") o3/2o3x3*a3/2o3/2x3/2*a *c3*d - (contains "2tet") o3/2o3o3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] x3/2x3x3*a3/2o3/2o3/2*a *c3*d - [Grünbaumian] x3/2x3o3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] x3/2x3o3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] x3/2o3x3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] x3/2o3x3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] x3/2o3o3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] o3/2x3x3*a3/2x3/2o3/2*a *c3*d - (contains "2tet") o3/2x3x3*a3/2o3/2x3/2*a *c3*d - (contains "2tet") o3/2x3o3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] o3/2o3x3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] x3/2x3x3*a3/2x3/2o3/2*a *c3*d - [Grünbaumian] x3/2x3x3*a3/2o3/2x3/2*a *c3*d - [Grünbaumian] x3/2x3o3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] x3/2o3x3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] o3/2x3x3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] x3/2x3x3*a3/2x3/2x3/2*a *c3*d - [Grünbaumian] |
| o3o3o3/2*a3/2o3o3*a *c3/2*d | o3o3o3/2*a3/2o3/2o3/2*a *c3/2*d | o3/2o3/2o3/2*a3/2o3/2o3/2*a *c3/2*d | |
x3o3o3/2*a3/2o3o3*a *c3/2*d - (contains "2tet") o3x3o3/2*a3/2o3o3*a *c3/2*d - (contains "2tet") o3o3x3/2*a3/2o3o3*a *c3/2*d - (contains "2tet") x3x3o3/2*a3/2o3o3*a *c3/2*d - (contains "2tet") x3o3x3/2*a3/2o3o3*a *c3/2*d - [Grünbaumian] o3x3x3/2*a3/2o3o3*a *c3/2*d - (contains "2tet") o3x3o3/2*a3/2x3o3*a *c3/2*d - (contains "2tet") o3x3o3/2*a3/2o3x3*a *c3/2*d - (contains "2tet") o3o3x3/2*a3/2x3o3*a *c3/2*d - [Grünbaumian] x3x3x3/2*a3/2o3o3*a *c3/2*d - [Grünbaumian] x3x3o3/2*a3/2x3o3*a *c3/2*d - [Grünbaumian] x3x3o3/2*a3/2o3x3*a *c3/2*d - (contains "2tet") x3o3x3/2*a3/2x3o3*a *c3/2*d - [Grünbaumian] o3x3x3/2*a3/2x3o3*a *c3/2*d - [Grünbaumian] o3x3x3/2*a3/2o3x3*a *c3/2*d - (contains "2tet") x3x3x3/2*a3/2x3o3*a *c3/2*d - [Grünbaumian] x3x3x3/2*a3/2o3x3*a *c3/2*d - [Grünbaumian] o3x3x3/2*a3/2x3x3*a *c3/2*d - [Grünbaumian] x3x3x3/2*a3/2x3x3*a *c3/2*d - [Grünbaumian] |
x3o3o3/2*a3/2o3/2o3/2*a *c3/2*d - (contains "2tet") o3x3o3/2*a3/2o3/2o3/2*a *c3/2*d - (contains "2tet") o3o3x3/2*a3/2o3/2o3/2*a *c3/2*d - (contains "2tet") o3o3o3/2*a3/2x3/2o3/2*a *c3/2*d - (contains "2tet") o3o3o3/2*a3/2o3/2x3/2*a *c3/2*d - (contains "2tet") x3x3o3/2*a3/2o3/2o3/2*a *c3/2*d - (contains "2tet") x3o3x3/2*a3/2o3/2o3/2*a *c3/2*d - [Grünbaumian] x3o3o3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] x3o3o3/2*a3/2o3/2x3/2*a *c3/2*d - [Grünbaumian] o3x3x3/2*a3/2o3/2o3/2*a *c3/2*d - (contains "2tet") o3x3o3/2*a3/2x3/2o3/2*a *c3/2*d - (contains "2tet") o3x3o3/2*a3/2o3/2x3/2*a *c3/2*d - (contains "2tet") o3o3x3/2*a3/2x3/2o3/2*a *c3/2*d - (contains "2tet") o3o3x3/2*a3/2o3/2x3/2*a *c3/2*d - (contains "2tet") o3o3o3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] x3x3x3/2*a3/2o3/2o3/2*a *c3/2*d - [Grünbaumian] x3x3o3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] x3x3o3/2*a3/2o3/2x3/2*a *c3/2*d - [Grünbaumian] x3o3x3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] x3o3x3/2*a3/2o3/2x3/2*a *c3/2*d - [Grünbaumian] x3o3o3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] o3x3x3/2*a3/2x3/2o3/2*a *c3/2*d - (contains "2tet") o3x3x3/2*a3/2o3/2x3/2*a *c3/2*d - (contains "2tet") o3x3o3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] o3o3x3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] x3x3x3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] x3x3x3/2*a3/2o3/2x3/2*a *c3/2*d - [Grünbaumian] x3x3o3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] x3o3x3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] o3x3x3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] x3x3x3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] |
x3/2o3/2o3/2*a3/2o3/2o3/2*a *c3/2*d - (contains "2tet") o3/2x3/2o3/2*a3/2o3/2o3/2*a *c3/2*d - (contains "2tet") o3/2o3/2x3/2*a3/2o3/2o3/2*a *c3/2*d - (contains "2tet") x3/2x3/2o3/2*a3/2o3/2o3/2*a *c3/2*d - [Grünbaumian] x3/2o3/2x3/2*a3/2o3/2o3/2*a *c3/2*d - [Grünbaumian] o3/2x3/2x3/2*a3/2o3/2o3/2*a *c3/2*d - [Grünbaumian] o3/2x3/2o3/2*a3/2x3/2o3/2*a *c3/2*d - (contains "2tet") o3/2x3/2o3/2*a3/2o3/2x3/2*a *c3/2*d - (contains "2tet") o3/2o3/2x3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] x3/2x3/2x3/2*a3/2o3/2o3/2*a *c3/2*d - [Grünbaumian] x3/2x3/2o3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] x3/2x3/2o3/2*a3/2o3/2x3/2*a *c3/2*d - [Grünbaumian] x3/2o3/2x3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] o3/2x3/2x3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] o3/2x3/2x3/2*a3/2o3/2x3/2*a *c3/2*d - [Grünbaumian] x3/2x3/2x3/2*a3/2x3/2o3/2*a *c3/2*d - [Grünbaumian] x3/2x3/2x3/2*a3/2o3/2x3/2*a *c3/2*d - [Grünbaumian] o3/2x3/2x3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] x3/2x3/2x3/2*a3/2x3/2x3/2*a *c3/2*d - [Grünbaumian] |
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