Acronym giphihix
Name great prismatohecatonicosahecatonicosahexacosachoron
Circumradius sqrt[17-6 sqrt(5)] = 1.893038
Colonel of regiment pirgaghi
Face vector 7200, 18000, 11280, 1560
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   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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