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 120120012001200
sphixhi 001201206001200
& others)
External
links
hedrondude   WikiChoron  

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

© 2004-2019
top of page