Name hecatonicosihexacosidishecatonicosachoron
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: co idtid oho quitdid quit gissid tid hixady 600 0 0 120 120 120 xhidy 0 120 600 0 120 120
& others)
External

As abstract polytope hixady is automorphic, interchanging decagrams and decagons, respectively tid and quit gissid.

Incidence matrix according to Dynkin symbol

```x3o3x5x5/3*a

. . . .      | 7200 |    2    2    1 |    1    2    2    1    2 |   1   1   2   1
-------------+------+----------------+--------------------------+----------------
x . . .      |    2 | 7200    *    * |    1    1    1    0    0 |   1   1   1   0
. . x .      |    2 |    * 7200    * |    0    1    0    1    1 |   1   0   1   1
. . . x      |    2 |    *    * 3600 |    0    0    2    0    2 |   0   1   2   1
-------------+------+----------------+--------------------------+----------------
x3o . .      |    3 |    3    0    0 | 2400    *    *    *    * |   1   1   0   0
x . x .      |    4 |    2    2    0 |    * 3600    *    *    * |   1   0   1   0
x . . x5/3*a |   10 |    5    0    5 |    *    * 1440    *    * |   0   1   1   0
. o3x .      |    3 |    0    3    0 |    *    *    * 2400    * |   1   0   0   1
. . x5x      |   10 |    0    5    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3o3x .      ♦   12 |   12   12    0 |    4    6    0    4    0 | 600   *   *   *
x3o . x5/3*a ♦   60 |   60    0   30 |   20    0   12    0    0 |   * 120   *   *
x . x5x5/3*a ♦  120 |   60   60   60 |    0   30   12    0   12 |   *   * 120   *
. o3x5x      ♦   60 |    0   60   30 |    0    0    0   20   12 |   *   *   * 120
```

```x3/2o3/2x5x5/3*a

.   .   . .      | 7200 |    2    2    1 |    1    2    2    1    2 |   1   1   2   1
-----------------+------+----------------+--------------------------+----------------
x   .   . .      |    2 | 7200    *    * |    1    1    1    0    0 |   1   1   1   0
.   .   x .      |    2 |    * 7200    * |    0    1    0    1    1 |   1   0   1   1
.   .   . x      |    2 |    *    * 3600 |    0    0    2    0    2 |   0   1   2   1
-----------------+------+----------------+--------------------------+----------------
x3/2o   . .      |    3 |    3    0    0 | 2400    *    *    *    * |   1   1   0   0
x   .   x .      |    4 |    2    2    0 |    * 3600    *    *    * |   1   0   1   0
x   .   . x5/3*a |   10 |    5    0    5 |    *    * 1440    *    * |   0   1   1   0
.   o3/2x .      |    3 |    0    3    0 |    *    *    * 2400    * |   1   0   0   1
.   .   x5x      |   10 |    0    5    5 |    *    *    *    * 1440 |   0   0   1   1
-----------------+------+----------------+--------------------------+----------------
x3/2o3/2x .      ♦   12 |   12   12    0 |    4    6    0    4    0 | 600   *   *   *
x3/2o   . x5/3*a ♦   60 |   60    0   30 |   20    0   12    0    0 |   * 120   *   *
x   .   x5x5/3*a ♦  120 |   60   60   60 |    0   30   12    0   12 |   *   * 120   *
.   o3/2x5x      ♦   60 |    0   60   30 |    0    0    0   20   12 |   *   *   * 120
```