Acronym	sphixhi
Name	small prismatohecatonicosihexacosihecatonicosachoron
Circumradius	sqrt[13+2 sqrt(5)] = 4.179968
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: grid sidditdid siid tiggy toe trip sid tipathi 120 120 0 120 0 1200 sphixhi 0 0 120 120 600 1200 & others)
Face vector	7200, 18000, 12240, 2040
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polychoron sphixhi is isomorph to giphixhi. Thereby replacing pentagrams by pentagons, resp. tiggy by ti and siid by giid.

Incidence matrix according to Dynkin symbol

x3x3x3o5/2*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
-------------+------+----------------+--------------------------+-----------------
x3x . .      |    6 |    3    3    0 | 2400    *    *    *    * |   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 . o5/2*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1    0   1
. . x3o      |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
-------------+------+----------------+--------------------------+-----------------
x3x3x .      ♦   24 |   12   12   12 |    4    6    4    0    0 | 600   *    *   *
x3x . o5/2*b ♦   60 |   30   60    0 |   20    0    0   12    0 |   * 120    *   *
x . x3o      ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x3x3o5/2*b ♦   60 |    0   60   60 |    0    0   20   12   20 |   *   *    * 120

x3x3x3/2o5/3*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
---------------+------+----------------+--------------------------+-----------------
x3x .   .      |    6 |    3    3    0 | 2400    *    *    *    * |   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 .   o5/3*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1    0   1
. . x3/2o      |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
---------------+------+----------------+--------------------------+-----------------
x3x3x   .      ♦   24 |   12   12   12 |    4    6    4    0    0 | 600   *    *   *
x3x .   o5/3*b ♦   60 |   30   60    0 |   20    0    0   12    0 |   * 120    *   *
x . x3/2o      ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x3x3/2o5/3*b ♦   60 |    0   60   60 |    0    0   20   12   20 |   *   *    * 120