Acronym srawv hixhi
Name small retrosphenoverted hecatonicosihexacosihecatonicosachoron
Cross sections
 ©
Circumradius sqrt[19+8 sqrt(5)] = 6.073594
General of army srix
Colonel of regiment srix
Face vector 3600, 10800, 7440, 840
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

As abstract polytope srawv hixhi is isomorphic to garawv hixhi, thereby replacing pentagons by pentagrams, respectively ti by tiggy and id by gid.


Incidence matrix according to Dynkin symbol

o5x3x3o3/2*b

. . . .      | 3600 |    4    2 |    2    4    2    1 |   2   1   2
-------------+------+-----------+---------------------+------------
. x . .      |    2 | 7200    * |    1    1    1    0 |   1   1   1
. . x .      |    2 |    * 3600 |    0    2    0    1 |   1   0   2
-------------+------+-----------+---------------------+------------
o5x . .      |    5 |    5    0 | 1440    *    *    * |   1   1   0
. x3x .      |    6 |    3    3 |    * 2400    *    * |   1   0   1
. x . o3/2*b |    3 |    3    0 |    *    * 2400    * |   0   1   1
. . x3o      |    3 |    0    3 |    *    *    * 1200 |   0   0   2
-------------+------+-----------+---------------------+------------
o5x3x .         60 |   60   30 |   12   20    0    0 | 120   *   *
o5x . o3/2*b    30 |   60    0 |   12    0   20    0 |   * 120   *
. x3x3o3/2*b    12 |   12   12 |    0    4    4    4 |   *   * 600

o5x3x3/2o3*b

. . .   .    | 3600 |    4    2 |    2    4    2    1 |   2   1   2
-------------+------+-----------+---------------------+------------
. x .   .    |    2 | 7200    * |    1    1    1    0 |   1   1   1
. . x   .    |    2 |    * 3600 |    0    2    0    1 |   1   0   2
-------------+------+-----------+---------------------+------------
o5x .   .    |    5 |    5    0 | 1440    *    *    * |   1   1   0
. x3x   .    |    6 |    3    3 |    * 2400    *    * |   1   0   1
. x .   o3*b |    3 |    3    0 |    *    * 2400    * |   0   1   1
. . x3/2o    |    3 |    0    3 |    *    *    * 1200 |   0   0   2
-------------+------+-----------+---------------------+------------
o5x3x   .       60 |   60   30 |   12   20    0    0 | 120   *   *
o5x .   o3*b    30 |   60    0 |   12    0   20    0 |   * 120   *
. x3x3/2o3*b    12 |   12   12 |    0    4    4    4 |   *   * 600

o5/4x3x3o3/2*b

.   . . .      | 3600 |    4    2 |    2    4    2    1 |   2   1   2
---------------+------+-----------+---------------------+------------
.   x . .      |    2 | 7200    * |    1    1    1    0 |   1   1   1
.   . x .      |    2 |    * 3600 |    0    2    0    1 |   1   0   2
---------------+------+-----------+---------------------+------------
o5/4x . .      |    5 |    5    0 | 1440    *    *    * |   1   1   0
.   x3x .      |    6 |    3    3 |    * 2400    *    * |   1   0   1
.   x . o3/2*b |    3 |    3    0 |    *    * 2400    * |   0   1   1
.   . x3o      |    3 |    0    3 |    *    *    * 1200 |   0   0   2
---------------+------+-----------+---------------------+------------
o5/4x3x .         60 |   60   30 |   12   20    0    0 | 120   *   *
o5/4x . o3/2*b    30 |   60    0 |   12    0   20    0 |   * 120   *
.   x3x3o3/2*b    12 |   12   12 |    0    4    4    4 |   *   * 600

o5/4x3x3/2o3*b

.   . .   .    | 3600 |    4    2 |    2    4    2    1 |   2   1   2
---------------+------+-----------+---------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1    0 |   1   1   1
.   . x   .    |    2 |    * 3600 |    0    2    0    1 |   1   0   2
---------------+------+-----------+---------------------+------------
o5/4x .   .    |    5 |    5    0 | 1440    *    *    * |   1   1   0
.   x3x   .    |    6 |    3    3 |    * 2400    *    * |   1   0   1
.   x .   o3*b |    3 |    3    0 |    *    * 2400    * |   0   1   1
.   . x3/2o    |    3 |    0    3 |    *    *    * 1200 |   0   0   2
---------------+------+-----------+---------------------+------------
o5/4x3x   .       60 |   60   30 |   12   20    0    0 | 120   *   *
o5/4x .   o3*b    30 |   60    0 |   12    0   20    0 |   * 120   *
.   x3x3/2o3*b    12 |   12   12 |    0    4    4    4 |   *   * 600

β3o3x5o

both( . . . . ) | 3600 |    4    2 |    2    2    1    4 |   1   2   2
----------------+------+-----------+---------------------+------------
both( . . x . ) |    2 | 7200    * |    1    1    0    1 |   1   1   1
sefa( β3o . . ) |    2 |    * 3600 |    0    0    1    2 |   0   2   1
----------------+------+-----------+---------------------+------------
both( . o3x . ) |    3 |    3    0 | 2400    *    *    * |   1   1   0
both( . . x5o ) |    5 |    5    0 |    * 1440    *    * |   1   0   1
      β3o . .       3 |    0    3 |    *    * 1200    * |   0   2   0
sefa( β3o3x . ) |    6 |    3    3 |    *    *    * 2400 |   0   1   1
----------------+------+-----------+---------------------+------------
both( . o3x5o )    30 |   60    0 |   20   12    0    0 | 120   *   *
      β3o3x .      12 |   12   12 |    4    0    4    4 |   * 600   *
sefa( β3o3x5o )    60 |   60   30 |    0   12    0   20 |   *   * 120

starting figure: x3o3x5o

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