Acronym xhi
Name hexacosihecatonicosachoron,
bitruncated hecatonicosachoron,
bitruncated hexacosachoron
Cross sections
` ©`
Vertex figure
` ©`
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: ti tut xhi 120 600
)
Confer 2xhi
External

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

Incidence matrix according to Dynkin symbol

```o3x3x5o

. . . . | 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
. . x5o |    5 |    0    5 |    *    * 720 |   0   2
--------+------+-----------+---------------+--------
o3x3x . ♦   12 |   12    6 |    4    4   0 | 600   *
. x3x5o ♦   60 |   30   60 |    0   20  12 |   * 120
```

```o3x3x5/4o

. . .   . | 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
. . x5/4o |    5 |    0    5 |    *    * 720 |   0   2
----------+------+-----------+---------------+--------
o3x3x   . ♦   12 |   12    6 |    4    4   0 | 600   *
. x3x5/4o ♦   60 |   30   60 |    0   20  12 |   * 120
```

```o3/2x3x5o

.   . . . | 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
.   . x5o |    5 |    0    5 |    *    * 720 |   0   2
----------+------+-----------+---------------+--------
o3/2x3x . ♦   12 |   12    6 |    4    4   0 | 600   *
.   x3x5o ♦   60 |   30   60 |    0   20  12 |   * 120
```

```o3/2x3x5/4o

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