Acronym	spixhihy
Name	small prismatohexacosihecatonicosihecatonicosachoron
Circumradius	sqrt[48+21 sqrt(5)] = 9.744610
General of army	prix
Colonel of regiment	prix
Face vector	7200, 18000, 12240, 2040
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polychoron spixhihy is isomorphic to gippixhihy, thereby replacing decagons by decagrams, resp. tid by quit gissid and grid by gaquatid.

Incidence matrix according to Dynkin symbol

     x     
   5 |     
     x     
  3 / \ 3/2
   x---o   
     3     

x5x3x3o3/2*b

. . . .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1    1   1
-------------+------+----------------+--------------------------+-----------------
x . . .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1    1   0
. x . .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1    0   1
. . x .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0    1   1
-------------+------+----------------+--------------------------+-----------------
x5x . .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x . x .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0    1   0
. x3x .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0    0   1
. x . o3/2*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1    0   1
. . x3o      |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
-------------+------+----------------+--------------------------+-----------------
x5x3x .      ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *    *   *
x5x . o3/2*b ♦   60 |   30   60    0 |   12    0    0   20    0 |   * 120    *   *
x . x3o      ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x3x3o3/2*b ♦   12 |    0   12   12 |    0    0    4    4    4 |   *   *    * 600

     x    
   5 |    
     x    
  3 / \ 3 
   x---o  
    3/2   

x5x3x3/2o3*b

. . .   .    | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1    1   1
-------------+------+----------------+--------------------------+-----------------
x . .   .    |    2 | 3600    *    * |    2    2    0    0    0 |   2   1    1   0
. x .   .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1    0   1
. . x   .    |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0    1   1
-------------+------+----------------+--------------------------+-----------------
x5x .   .    |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x . x   .    |    4 |    2    0    2 |    * 3600    *    *    * |   1   0    1   0
. x3x   .    |    6 |    0    3    3 |    *    * 2400    *    * |   1   0    0   1
. x .   o3*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1    0   1
. . x3/2o    |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
-------------+------+----------------+--------------------------+-----------------
x5x3x   .    ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *    *   *
x5x .   o3*b ♦   60 |   30   60    0 |   12    0    0   20    0 |   * 120    *   *
x . x3/2o    ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x3x3/2o3*b ♦   12 |    0   12   12 |    0    0    4    4    4 |   *   *    * 600

β3o3x5x

both( . . . . ) | 7200 |    2    1    2 |    1    2    1    2    2 |   1   1    1   2
----------------+------+----------------+--------------------------+-----------------
both( . . x . ) |    2 | 7200    *    * |    1    1    0    1    0 |   1   1    0   1
both( . . . x ) |    2 |    * 3600    * |    0    2    0    0    2 |   1   0    1   2
sefa( β3o . . ) |    2 |    *    * 7200 |    0    0    1    1    1 |   0   1    1   1
----------------+------+----------------+--------------------------+-----------------
both( . o3x . ) |    3 |    3    0    0 | 2400    *    *    *    * |   1   1    0   0
both( . . x5x ) |   10 |    5    5    0 |    * 1440    *    *    * |   1   0    0   1
      β3o . .   ♦    3 |    0    0    3 |    *    * 2400    *    * |   0   1    1   0
sefa( β3o3x . ) |    6 |    3    0    3 |    *    *    * 2400    * |   0   1    0   1
sefa( β3o 2 x ) |    4 |    0    2    2 |    *    *    *    * 3600 |   0   0    1   1
----------------+------+----------------+--------------------------+-----------------
both( . o3x5x ) ♦   60 |   60   30    0 |   20   12    0    0    0 | 120   *    *   *
      β3o3x .   ♦   12 |   12    0   12 |    4    0    4    4    0 |   * 600    *   *
      β3o 2 x   ♦    6 |    0    3    6 |    0    0    2    0    3 |   *   * 1200   *
sefa( β3o3x5x ) ♦  120 |   60   60   60 |    0   12    0   20   30 |   *   *    * 120

starting figure: x3o3x5x