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

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
```