Acronym xithi
Name hexacositriakishecatonicosachoron
Cross sections
` ©`
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: gaquatid grid quitdid toe xithi 120 120 120 600
)
External

As abstract polytope xithi is automorph, thereby interchanging decagons and decagrams, respectively grid and gaquatid.

Incidence matrix according to Dynkin symbol

```x3x3x5x5/3*a

. . . .      | 14400 |    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 . . x5/3*a |    10 |    5    0    0    5 |    *    * 1440    *    *    * |   0   1   1   0
. x3x .      |     6 |    0    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1
. x . x      |     4 |    0    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1
. . x5x      |    10 |    0    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
-------------+-------+---------------------+-------------------------------+----------------
x3x3x .      ♦    24 |   12   12   12    0 |    4    6    0    4    0    0 | 600   *   *   *
x3x . x5/3*a ♦   120 |   60   60    0   60 |   20    0   20    0   30    0 |   * 120   *   *
x . x5x5/3*a ♦   120 |   60    0   60   60 |    0   30   12    0    0   12 |   *   * 120   *
. x3x5x      ♦   120 |    0   60   60   60 |    0    0    0   20   30   12 |   *   *   * 120
```