Acronym sik vixathi Name small skewverted hexacositriakishecatonicosachoro Circumradius sqrt[13+4 sqrt(5)] = 4.684471 Colonel of regiment skiv datapixady Externallinks

As abstract polytope sik vixathi is isomorphic to gik vixathi, thereby replacing pentagons by pentagrams and decagons by decagrams, respectively giid by siid, saddid by gaddid, and grid by gaquatid. – As such sik vixathi is a lieutenant.

Incidence matrix according to Dynkin symbol

```o3x3x5x3*a5/4*c

. . . .         | 7200 |    2    2    2 |    1    1    1    2    2    2 |   1   1   1   2
----------------+------+----------------+-------------------------------+----------------
. 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
----------------+------+----------------+-------------------------------+----------------
o3x . .         |    3 |    3    0    0 | 2400    *    *    *    *    * |   1   1   0   0
o . x . *a5/4*c |    5 |    0    5    0 |    * 1440    *    *    *    * |   1   0   1   0
o . . x3*a      |    3 |    0    0    3 |    *    * 2400    *    *    * |   0   1   1   0
. x3x .         |    6 |    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1
. x . x         |    4 |    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1
. . x5x         |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
----------------+------+----------------+-------------------------------+----------------
o3x3x . *a5/4*c ♦   60 |   60   60    0 |   20   12    0   20    0    0 | 120   *   *   *
o3x . x3*a      ♦   12 |   12    0   12 |    4    0    4    0    6    0 |   * 600   *   *
o . x5x3*a5/4*c ♦   60 |    0   60   60 |    0   12   20    0    0   12 |   *   * 120   *
. x3x5x         ♦  120 |   60   60   60 |    0    0    0   20   30   12 |   *   *   * 120
```

```o3/2x3x5x3/2*a5*c

.   . . .         | 7200 |    2    2    2 |    1    1    1    2    2    2 |   1   1   1   2
------------------+------+----------------+-------------------------------+----------------
.   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
------------------+------+----------------+-------------------------------+----------------
o3/2x . .         |    3 |    3    0    0 | 2400    *    *    *    *    * |   1   1   0   0
o   . x .   *a5*c |    5 |    0    5    0 |    * 1440    *    *    *    * |   1   0   1   0
o   . . x3/2*a    |    3 |    0    0    3 |    *    * 2400    *    *    * |   0   1   1   0
.   x3x .         |    6 |    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1
.   x . x         |    4 |    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1
.   . x5x         |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
------------------+------+----------------+-------------------------------+----------------
o3/2x3x .   *a5*c ♦   60 |   60   60    0 |   20   12    0   20    0    0 | 120   *   *   *
o3/2x . x3/2*a    ♦   12 |   12    0   12 |    4    0    4    0    6    0 |   * 600   *   *
o   . x5x3/2*a5*c ♦   60 |    0   60   60 |    0   12   20    0    0   12 |   *   * 120   *
.   x3x5x         ♦  120 |   60   60   60 |    0    0    0   20   30   12 |   *   *   * 120
```