Acronym tahi Name triakishecatonicosachoron Cross sections ` ©` Circumradius 2 General of army sidpixhi Colonel of regiment siddapady Externallinks

As abstract polytope tahi is automorph, thereby interchanging the roles of pentagons and pentagrams.

Incidence matrix according to Dynkin symbol

```o3o5x3x5/3*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
-------------+------+-----------+----------------+------------
. o5x .      |    5 |    5    0 | 1440    *    * |   1   0   1
. o . x5/3*b |    5 |    0    5 |    * 1440    * |   0   1   1
. . x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
-------------+------+-----------+----------------+------------
o3o5x .      ♦   20 |   30    0 |   12    0    0 | 120   *   *
o3o . x5/3*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
. o5x3x5/3*b ♦   60 |   60   60 |   12   12   20 |   *   * 120
```

```o3o5/4x3x5/2*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
---------------+------+-----------+----------------+------------
. o5/4x .      |    5 |    5    0 | 1440    *    * |   1   0   1
. o   . x5/2*b |    5 |    0    5 |    * 1440    * |   0   1   1
. .   x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
---------------+------+-----------+----------------+------------
o3o5/4x .      ♦   20 |   30    0 |   12    0    0 | 120   *   *
o3o   . x5/2*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
. o5/4x3x5/2*b ♦   60 |   60   60 |   12   12   20 |   *   * 120
```

```o3/2o5x3x5/3*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
---------------+------+-----------+----------------+------------
.   o5x .      |    5 |    5    0 | 1440    *    * |   1   0   1
.   o . x5/3*b |    5 |    0    5 |    * 1440    * |   0   1   1
.   . x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
---------------+------+-----------+----------------+------------
o3/2o5x .      ♦   20 |   30    0 |   12    0    0 | 120   *   *
o3/2o . x5/3*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
.   o5x3x5/3*b ♦   60 |   60   60 |   12   12   20 |   *   * 120
```

```o3/2o5/4x3x5/2*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
-----------------+------+-----------+----------------+------------
.   o5/4x .      |    5 |    5    0 | 1440    *    * |   1   0   1
.   o   . x5/2*b |    5 |    0    5 |    * 1440    * |   0   1   1
.   .   x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
-----------------+------+-----------+----------------+------------
o3/2o5/4x .      ♦   20 |   30    0 |   12    0    0 | 120   *   *
o3/2o   . x5/2*b ♦   20 |    0   30 |    0   12    0 |   * 120   *
.   o5/4x3x5/2*b ♦   60 |   60   60 |   12   12   20 |   *   * 120
```