Acronym stut xethi Name small tritrigonal hexacositrishecatonicosachoron Circumradius sqrt[8+3 sqrt(5)] = 3.835128 Colonel of regiment stut phiddix Externallinks

As abstract polytope stut xethi is isomorphic to getit xethi, thereby replacing the decagons by decagrams and the pentagons by pentagrams, resp. replacing the gidtid by sidtid, saddid by gaddid, and tid by quit gissid. – As such stut xethi is a lieutenant.

Incidence matrix according to Dynkin symbol

```o3o3x5x3*a5/4*c

. . . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
----------------+------+-----------+---------------------+----------------
. . x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
. . . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
----------------+------+-----------+---------------------+----------------
o . x . *a5/4*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o . . x3*a      |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
. o3x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
. . x5x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
----------------+------+-----------+---------------------+----------------
o3o3x . *a5/4*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o . x3*a      ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o . x5x3*a5/4*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
. o3x5x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120
```

```o3o3/2x5x3/2*a5*c

. .   . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
------------------+------+-----------+---------------------+----------------
. .   x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
. .   . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
------------------+------+-----------+---------------------+----------------
o .   x .   *a5*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o .   . x3/2*a    |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
. o3/2x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
. .   x5x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+---------------------+----------------
o3o3/2x .   *a5*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3o   . x3/2*a    ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o .   x5x3/2*a5*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
. o3/2x5x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120
```

```o3/2o3x5x3/2*a5*c

.   . . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
------------------+------+-----------+---------------------+----------------
.   . x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
.   . . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
------------------+------+-----------+---------------------+----------------
o   . x .   *a5*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   . . x3/2*a    |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
.   o3x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
.   . x5x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+---------------------+----------------
o3/2o3x .   *a5*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o . x3/2*a    ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o   . x5x3/2*a5*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
.   o3x5x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120
```

```o3/2o3/2x5x3*a5/4*c

.   .   . .         | 2400 |    6    3 |    3    3    3    6 |   1   1   3   3
--------------------+------+-----------+---------------------+----------------
.   .   x .         |    2 | 7200    * |    1    0    1    1 |   1   0   1   1
.   .   . x         |    2 |    * 3600 |    0    2    0    2 |   0   1   2   1
--------------------+------+-----------+---------------------+----------------
o   .   x . *a5/4*c |    5 |    5    0 | 1440    *    *    * |   1   0   1   0
o   .   . x3*a      |    3 |    0    3 |    * 2400    *    * |   0   1   1   0
.   o3/2x .         |    3 |    3    0 |    *    * 2400    * |   1   0   0   1
.   .   x5x         |   10 |    5    5 |    *    *    * 1440 |   0   0   1   1
--------------------+------+-----------+---------------------+----------------
o3/2o3/2x . *a5/4*c ♦   20 |   60    0 |   12    0   20    0 | 120   *   *   *
o3/2o   . x3*a      ♦    4 |    0    6 |    0    4    0    0 |   * 600   *   *
o   .   x5x3*a5/4*c ♦   60 |   60   60 |   12   20    0   12 |   *   * 120   *
.   o3/2x5x         ♦   60 |   60   30 |    0    0   20   12 |   *   *   * 120
```