Acronym hixtaphix
Name hecatonicosihexacositruncated prismatohecatonicosihexacosachoron
Circumradius sqrt[33+12 sqrt(5)] = 7.735167
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: grid idtid stiddip toe hixtaphix 120 120 720 600
)
External

As abstract polytope hixtaphix is isomorphic to hixquitphix, thereby interchanging decagons and decagrams, respectively replacing grid by gaquatid and stiddip by dip.

Incidence matrix according to Dynkin symbol

```x3x3x5/3x5*b

. . .   .    | 14440 |    1    1    1    1 |    1    1    1    1    1    1 |   1   1   1   1
-------------+-------+---------------------+-------------------------------+----------------
x . .   .    |     2 | 7200    *    *    * |    1    1    1    0    0    0 |   1   1   1   0
. x .   .    |     2 |    * 7200    *    * |    1    0    0    1    1    0 |   1   1   0   1
. . x   .    |     2 |    *    * 7200    * |    0    1    0    1    0    1 |   1   0   1   1
. . .   x    |     2 |    *    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1
-------------+-------+---------------------+-------------------------------+----------------
x3x .   .    |     6 |    3    3    0    0 | 2400    *    *    *    *    * |   1   1   0   0
x . x   .    |     4 |    2    0    2    0 |    * 3600    *    *    *    * |   1   0   1   0
x . .   x    |     4 |    2    0    0    2 |    *    * 3600    *    *    * |   0   1   1   0
. x3x   .    |     6 |    0    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1
. x .   x5*b |    10 |    0    5    0    5 |    *    *    *    * 1440    * |   0   1   0   1
. . x5/3x    |    10 |    0    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
-------------+-------+---------------------+-------------------------------+----------------
x3x3x   .    ♦    24 |   12   12   12    0 |    4    6    0    4    0    0 | 600   *   *   *
x3x .   x5*b ♦   120 |   60   60    0   60 |   20    0   30    0   12    0 |   * 120   *   *
x . x5/3x    ♦    20 |   10    0   10   10 |    0    5    5    0    0    2 |   *   * 720   *
. x3x5/3x5*b ♦   120 |    0   60   60   60 |    0    0    0   20   12   12 |   *   *   * 120
```

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