Acronym giphiddix
Name great prismatohecatonicosadishexacosachoron
Circumradius sqrt[25-10 sqrt(5)] = 1.624598
Colonel of regiment gixipady
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope giphiddix is isomorphic to sphiddix, thereby replacing pentagons by pentagrams, resp. pip by stip and giid by siid. – As such giphiddix is a lieutenant.


Incidence matrix according to Dynkin symbol

x3x3x5o3/2*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 . o3/2*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1   0   1
. . x5o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3x .         24 |   12   12   12 |    4    6    4    0    0 | 600   *   *   *
x3x . o3/2*b    12 |    6   12    0 |    4    0    0    4    0 |   * 600   *   *
x . x5o         10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5o3/2*b    60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120

x3x3x5/4o3*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 .   o3*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1   0   1
. . x5/4o    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3x   .       24 |   12   12   12 |    4    6    4    0    0 | 600   *   *   *
x3x .   o3*b    12 |    6   12    0 |    4    0    0    4    0 |   * 600   *   *
x . x5/4o       10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/4o3*b    60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120

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