Acronym gohihix Name great hecatonicosihecatonicosihexacosachoron Circumradius sqrt[(11-3 sqrt(5))/2] = 1.464888 Colonel of regiment gixhidy Externallinks

As abstract polytope gohihix is isomorphical to shihix, thereby replacinging pentagons by pentagrams, respectively replacinging doe by gissid and giid by siid. – As such gohihix is a lieutenant.

Incidence matrix according to Dynkin symbol

```o3o3x3x5/4*b

. . . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
-------------+------+-----------+----------------+------------
. . x .      |    2 | 3600    * |    2    0    1 |   1   0   2
. . . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
-------------+------+-----------+----------------+------------
. o3x .      |    3 |    3    0 | 2400    *    * |   1   0   1
. o . x5/4*b |    5 |    0    5 |    * 1440    * |   0   1   1
. . x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
-------------+------+-----------+----------------+------------
o3o3x .      ♦    4 |    6    0 |    4    0    0 | 600   *   *
o3o . x5/4*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
. o3x3x5/4*b ♦   60 |   60   60 |   20   12   20 |   *   * 120
```

```o3o3/2x3x5*b

. .   . .    | 2400 |    3    3 |    3    3    3 |   1   1   3
-------------+------+-----------+----------------+------------
. .   x .    |    2 | 3600    * |    2    0    1 |   1   0   2
. .   . x    |    2 |    * 3600 |    0    2    1 |   0   1   2
-------------+------+-----------+----------------+------------
. o3/2x .    |    3 |    3    0 | 2400    *    * |   1   0   1
. o   . x5*b |    5 |    0    5 |    * 1440    * |   0   1   1
. .   x3x    |    6 |    3    3 |    *    * 1200 |   0   0   2
-------------+------+-----------+----------------+------------
o3o3/2x .    ♦    4 |    6    0 |    4    0    0 | 600   *   *
o3o   . x5*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
. o3/2x3x5*b ♦   60 |   60   60 |   20   12   20 |   *   * 120
```

```o3/2o3x3x5/4*b

.   . . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
---------------+------+-----------+----------------+------------
.   . x .      |    2 | 3600    * |    2    0    1 |   1   0   2
.   . . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
---------------+------+-----------+----------------+------------
.   o3x .      |    3 |    3    0 | 2400    *    * |   1   0   1
.   o . x5/4*b |    5 |    0    5 |    * 1440    * |   0   1   1
.   . x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
---------------+------+-----------+----------------+------------
o3/2o3x .      ♦    4 |    6    0 |    4    0    0 | 600   *   *
o3/2o . x5/4*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
.   o3x3x5/4*b ♦   60 |   60   60 |   20   12   20 |   *   * 120
```

```o3/2o3/2x3x5*b

.   .   . .    | 2400 |    3    3 |    3    3    3 |   1   1   3
---------------+------+-----------+----------------+------------
.   .   x .    |    2 | 3600    * |    2    0    1 |   1   0   2
.   .   . x    |    2 |    * 3600 |    0    2    1 |   0   1   2
---------------+------+-----------+----------------+------------
.   o3/2x .    |    3 |    3    0 | 2400    *    * |   1   0   1
.   o   . x5*b |    5 |    0    5 |    * 1440    * |   0   1   1
.   .   x3x    |    6 |    3    3 |    *    * 1200 |   0   0   2
---------------+------+-----------+----------------+------------
o3/2o3/2x .    ♦    4 |    6    0 |    4    0    0 | 600   *   *
o3/2o   . x5*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
.   o3/2x3x5*b ♦   60 |   60   60 |   20   12   20 |   *   * 120
```