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
hedrondude   polytopewiki   WikiChoron

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

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

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

© 2004-2024
top of page