Acronym stut phiddix
Name small tritrigonal prismatohecatonicosidishexacosachoron
Circumradius sqrt[8+3 sqrt(5)] = 3.835128
Vertex figure
 ©
General of army x3o3o5v
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: co ditdid gidtid oho saddid sidditdid sidtid siid srid stip tet ti tid
stuttixady 6000120000001200000
stut phiddix 600000001200072060000
stut thix 012000000120006001200
stut pixady 012000000012072060000
stut dixady 001206000000006001200
stut xethi 001200120000006000120
sit thixady 000001201200006000120
& others)
Face vector 2400, 10800, 9840, 2040
Confer
segmentochora:
sidtidasiid  
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

As abstract polytope stut phiddix is isomorphic to getit phiddix, thereby replacing the pentagrams by pentagons, resp. replacing stip by pip and sidtid by gidtid.


Incidence matrix according to Dynkin symbol

x3o3x5/2o3*b

. . .   .    | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------+------+-----------+---------------------+----------------
x . .   .    |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
. . x   .    |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------+------+-----------+---------------------+----------------
x3o .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . x   .    |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
. o3x   .    |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
. . x5/2o    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------+------+-----------+---------------------+----------------
x3o3x   .       12 |   12   12 |    4    6    4    0 | 600   *   *   *
x3o .   o3*b     4 |    6    0 |    4    0    0    0 |   * 600   *   *
x . x5/2o       10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3x5/2o3*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3o3x5/3o3/2*b

. . .   .      | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
---------------+------+-----------+---------------------+----------------
x . .   .      |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
. . x   .      |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
---------------+------+-----------+---------------------+----------------
x3o .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
. o3x   .      |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
. . x5/3o      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
---------------+------+-----------+---------------------+----------------
x3o3x   .         12 |   12   12 |    4    6    4    0 | 600   *   *   *
x3o .   o3/2*b     4 |    6    0 |    4    0    0    0 |   * 600   *   *
x . x5/3o         10 |    5   10 |    0    5    0    2 |   *   * 720   *
. o3x5/3o3/2*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3/2o3/2x5/2o3/2*b

.   .   .   .      | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-------------------+------+-----------+---------------------+----------------
x   .   .   .      |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
.   .   x   .      |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o   .   .      |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   x   .      |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
.   o3/2x   .      |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
.   .   x5/2o      |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-------------------+------+-----------+---------------------+----------------
x3/2o3/2x   .         12 |   12   12 |    4    6    4    0 | 600   *   *   *
x/23o   .   o3/2*b     4 |    6    0 |    4    0    0    0 |   * 600   *   *
x   .   x5/2o         10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2x5/2o3/2*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3/2o3/2x5/3o3*b

.   .   .   .    | 2400 |    3    6 |    3    6    3    3 |   3   1   3   1
-----------------+------+-----------+---------------------+----------------
x   .   .   .    |    2 | 3600    * |    2    2    0    0 |   2   1   1   0
.   .   x   .    |    2 |    * 7200 |    0    1    1    1 |   1   0   1   1
-----------------+------+-----------+---------------------+----------------
x3/2o   .   .    |    3 |    3    0 | 2400    *    *    * |   1   1   0   0
x   .   x   .    |    4 |    2    2 |    * 3600    *    * |   1   0   1   0
.   o3/2x   .    |    3 |    0    3 |    *    * 2400    * |   1   0   0   1
.   .   x5/3o    |    5 |    0    5 |    *    *    * 1440 |   0   0   1   1
-----------------+------+-----------+---------------------+----------------
x3/2o3/2x   .       12 |   12   12 |    4    6    4    0 | 600   *   *   *
x/23o   .   o3*b     4 |    6    0 |    4    0    0    0 |   * 600   *   *
x   .   x5/3o       10 |    5   10 |    0    5    0    2 |   *   * 720   *
.   o3/2x5/3o3*b    20 |    0   60 |    0    0   20   12 |   *   *   * 120

x3o3o5β

both( . . . . ) | 2400 |    3    6 |    3    3    6    3 |   1   3   1   3
----------------+------+-----------+---------------------+----------------
both( x . . . ) |    2 | 3600    * |    2    0    2    0 |   1   1   0   2
sefa( . . o5β ) |    2 |    * 7200 |    0    1    1    1 |   0   1   1   1
----------------+------+-----------+---------------------+----------------
both( x3o . . ) |    3 |    3    0 | 2400    *    *    * |   1   0   0   1
      . . o5β       5 |    0    5 |    * 1440    *    * |   0   1   1   0
sefa( x 2 o5β ) |    4 |    2    2 |    *    * 3600    * |   0   1   0   1
sefa( . o3o5β ) |    3 |    0    3 |    *    *    * 2400 |   0   0   1   1
----------------+------+-----------+---------------------+----------------
both( x3o3o . )     4 |    6    0 |    4    0    0    0 | 600   *   *   *
      x 2 o5β      10 |    5   10 |    0    2    5    0 |   * 720   *   *
      . o3o5β      20 |    0   60 |    0   12    0   20 |   *   * 120   *
sefa( x3o3o5β )    12 |   12   12 |    4    0    6    4 |   *   *   * 600

starting figure: x3o3o5x

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