Acronym gixhi
Name great hexacosihecatonicosachoron
Cross sections
` ©`
Circumradius sqrt[(59-25 sqrt(5))/2] = 1.244649
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: tiggy tut gixhi 120 600
)
External
links

As abstract polytope gixhi is isomorphic to xhi, thereby replacing the pentagrams by pentagons, resp. replacing tiggy by ti.

Incidence matrix according to Dynkin symbol

```o3x3x5/2o

. . .   . | 3600 |    2    2 |    1    4   1 |   2   2
----------+------+-----------+---------------+--------
. x .   . |    2 | 3600    * |    1    2   0 |   2   1
. . x   . |    2 |    * 3600 |    0    2   1 |   1   2
----------+------+-----------+---------------+--------
o3x .   . |    3 |    3    0 | 1200    *   * |   2   0
. x3x   . |    6 |    3    3 |    * 2400   * |   1   1
. . x5/2o |    5 |    0    5 |    *    * 720 |   0   2
----------+------+-----------+---------------+--------
o3x3x   . ♦   12 |   12    6 |    4    4   0 | 600   *
. x3x5/2o ♦   60 |   30   60 |    0   20  12 |   * 120
```

```o3x3x5/3o

. . .   . | 3600 |    2    2 |    1    4   1 |   2   2
----------+------+-----------+---------------+--------
. x .   . |    2 | 3600    * |    1    2   0 |   2   1
. . x   . |    2 |    * 3600 |    0    2   1 |   1   2
----------+------+-----------+---------------+--------
o3x .   . |    3 |    3    0 | 1200    *   * |   2   0
. x3x   . |    6 |    3    3 |    * 2400   * |   1   1
. . x5/3o |    5 |    0    5 |    *    * 720 |   0   2
----------+------+-----------+---------------+--------
o3x3x   . ♦   12 |   12    6 |    4    4   0 | 600   *
. x3x5/3o ♦   60 |   30   60 |    0   20  12 |   * 120
```

```o3/2x3x5/2o

.   . .   . | 3600 |    2    2 |    1    4   1 |   2   2
------------+------+-----------+---------------+--------
.   x .   . |    2 | 3600    * |    1    2   0 |   2   1
.   . x   . |    2 |    * 3600 |    0    2   1 |   1   2
------------+------+-----------+---------------+--------
o3/2x .   . |    3 |    3    0 | 1200    *   * |   2   0
.   x3x   . |    6 |    3    3 |    * 2400   * |   1   1
.   . x5/2o |    5 |    0    5 |    *    * 720 |   0   2
------------+------+-----------+---------------+--------
o3/2x3x   . ♦   12 |   12    6 |    4    4   0 | 600   *
.   x3x5/2o ♦   60 |   30   60 |    0   20  12 |   * 120
```

```o3/2x3x5/3o

.   . .   . | 3600 |    2    2 |    1    4   1 |   2   2
------------+------+-----------+---------------+--------
.   x .   . |    2 | 3600    * |    1    2   0 |   2   1
.   . x   . |    2 |    * 3600 |    0    2   1 |   1   2
------------+------+-----------+---------------+--------
o3/2x .   . |    3 |    3    0 | 1200    *   * |   2   0
.   x3x   . |    6 |    3    3 |    * 2400   * |   1   1
.   . x5/3o |    5 |    0    5 |    *    * 720 |   0   2
------------+------+-----------+---------------+--------
o3/2x3x   . ♦   12 |   12    6 |    4    4   0 | 600   *
.   x3x5/3o ♦   60 |   30   60 |    0   20  12 |   * 120
```

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