Acronym sphihix
Name small prismatohecatonicosahecatonicosahexacosachoron
Circumradius sqrt[17+6 sqrt(5)] = 5.515107
Colonel of regiment pirshi
External
links
hedrondude   WikiChoron  

As abstract polytope sphihix is isomorphic to giphihix, thereby interchanging the roles of pentagons and pentagrams, resp. replacing stip by pip and ti by tiggy.


Incidence matrix according to Dynkin symbol

x3x3x5/3o5*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*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
. . x5/3o    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3x   .       24 |   12   12   12 |    4    6    4    0    0 | 600   *   *   *
x3x .   o5*b    60 |   30   60    0 |   20    0    0   12    0 |   * 120   *   *
x . x5/3o       10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/3o5*b    60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

x3x3x5/2o5/4*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 .   o5/4*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
. . x5/2o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x3x3x   .         24 |   12   12   12 |    4    6    4    0    0 | 600   *   *   *
x3x .   o5/4*b    60 |   30   60    0 |   20    0    0   12    0 |   * 120   *   *
x . x5/2o         10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/2o5/4*b    60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

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