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

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