Acronym thi
Name truncated hecatonicosachoron
Cross sections
` ©`
Circumradius sqrt[34+15 sqrt(5)] = 8.218334
Vertex figure
` ©`
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: tet tid thi 600 120
)
External

As abstract polytope thi is isomorphic to quit gogishi, thereby replacing the decagons by decagrams, resp. replacing tid by quit gissid.

Incidence matrix according to Dynkin symbol

```o3o3x5x

. . . . | 2400 |    3    1 |    3   3 |   1   3
--------+------+-----------+----------+--------
. . x . |    2 | 3600    * |    2   1 |   1   2
. . . x |    2 |    * 1200 |    0   3 |   0   3
--------+------+-----------+----------+--------
. o3x . |    3 |    3    0 | 2400   * |   1   1
. . x5x |   10 |    5    5 |    * 720 |   0   2
--------+------+-----------+----------+--------
o3o3x . ♦    4 |    6    0 |    4   0 | 600   *
. o3x5x ♦   60 |   60   30 |   20  12 |   * 120
```

```o3o3/2x5x

. .   . . | 2400 |    3    1 |    3   3 |   1   3
----------+------+-----------+----------+--------
. .   x . |    2 | 3600    * |    2   1 |   1   2
. .   . x |    2 |    * 1200 |    0   3 |   0   3
----------+------+-----------+----------+--------
. o3/2x . |    3 |    3    0 | 2400   * |   1   1
. .   x5x |   10 |    5    5 |    * 720 |   0   2
----------+------+-----------+----------+--------
o3o3/2x . ♦    4 |    6    0 |    4   0 | 600   *
. o3/2x5x ♦   60 |   60   30 |   20  12 |   * 120
```

```o3/2o3x5x

.   . . . | 2400 |    3    1 |    3   3 |   1   3
----------+------+-----------+----------+--------
.   . x . |    2 | 3600    * |    2   1 |   1   2
.   . . x |    2 |    * 1200 |    0   3 |   0   3
----------+------+-----------+----------+--------
.   o3x . |    3 |    3    0 | 2400   * |   1   1
.   . x5x |   10 |    5    5 |    * 720 |   0   2
----------+------+-----------+----------+--------
o3/2o3x . ♦    4 |    6    0 |    4   0 | 600   *
.   o3x5x ♦   60 |   60   30 |   20  12 |   * 120
```

```o3/2o3/2x5x

.   .   . . | 2400 |    3    1 |    3   3 |   1   3
------------+------+-----------+----------+--------
.   .   x . |    2 | 3600    * |    2   1 |   1   2
.   .   . x |    2 |    * 1200 |    0   3 |   0   3
------------+------+-----------+----------+--------
.   o3/2x . |    3 |    3    0 | 2400   * |   1   1
.   .   x5x |   10 |    5    5 |    * 720 |   0   2
------------+------+-----------+----------+--------
o3/2o3/2x . ♦    4 |    6    0 |    4   0 | 600   *
.   o3/2x5x ♦   60 |   60   30 |   20  12 |   * 120
```

 © 2004-2013 top of page