Acronym giphihix
Name great prismatohecatonicosahecatonicosahexacosachoron
Circumradius sqrt[17-6 sqrt(5)] = 1.893038
Colonel of regiment pirgaghi
External
links
hedrondude   WikiChoron  

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


Incidence matrix according to Dynkin symbol

x3x3x5o5/3*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
. . x5o      |    5 |    0    0    5 |    *    *    *    * 1440 |   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 . x5o         10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5o5/3*b    60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

x3x3x5/4o5/2*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
. . x5/4o      |    5 |    0    0    5 |    *    *    *    * 1440 |   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 . x5/4o         10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/4o5/2*b    60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

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