Acronym capsthat
Name celliprismatosnub truncated hex tetracomb

This is a scaliform tetracomb, obtained as a variation of a faceting of the celliprismatotruncated icositetrachoric tetracomb (capticot, which likewise could be considered as celliprismatotruncated demitesseractic tetracomb). Or as a Stott addition of the snub icositetrachoric tetracomb (s3s4o3o3o, sadit) with the truncated hexadecachoral tetracomb (o3o4o3x3x, thext).


Incidence matrix according to Dynkin symbol

s3s4o3x3x   (N → ∞)

demi( . . . . . ) | 288N |    2    1    1    4 |   1   2    2   1    3    4    4   2 |   1   1   2   2   1   3    3   4   2 | 1   1   2  1   3
------------------+------+---------------------+-------------------------------------+--------------------------------------+-----------------
demi( . . . x . ) |    2 | 288N    *    *    * |   1   1    0   0    0    2    0   1 |   1   0   1   0   1   2    0   2   1 | 1   0   1  1   2
demi( . . . . x ) |    2 |    * 144N    *    * |   0   2    0   1    0    0    4   0 |   1   0   0   2   0   0    3   4   2 | 0   1   2  1   3
      . s4o . .   |    2 |    *    * 144N    * |   0   0    0   1    2    0    0   2 |   0   1   0   0   1   2    2   0   2 | 1   1   0  1   2
sefa( s3s . . . ) |    2 |    *    *    * 576N |   0   0    1   0    1    1    1   0 |   0   1   1   1   0   1    1   1   0 | 1   1   1  0   1
------------------+------+---------------------+-------------------------------------+--------------------------------------+-----------------
demi( . . o3x . ) |    3 |    3    0    0    0 | 96N   *    *   *    *    *    *   * |   1   0   0   0   1   1    0   0   0 | 1   0   0  1   1
demi( . . . x3x ) |    6 |    3    3    0    0 |   * 96N    *   *    *    *    *   * |   1   0   0   0   0   0    0   2   1 | 0   0   1  1   2
      s3s . . .   |    3 |    0    0    0    3 |   *   * 192N   *    *    *    *   * |   0   1   1   1   0   0    0   0   0 | 1   1   1  0   0
      . s4o 2 x   |    4 |    0    2    2    0 |   *   *    * 72N    *    *    *   * |   0   0   0   0   0   0    2   0   2 | 0   1   0  1   2
sefa( s3s4o . . ) |    3 |    0    0    1    2 |   *   *    *   * 288N    *    *   * |   0   1   0   0   0   1    1   0   0 | 1   1   0  0   1
sefa( s3s 2 x . ) |    4 |    2    0    0    2 |   *   *    *   *    * 288N    *   * |   0   0   1   0   0   1    0   1   0 | 1   0   1  0   1
sefa( s3s . 2 x ) |    4 |    0    2    0    2 |   *   *    *   *    *    * 288N   * |   0   0   0   1   0   0    1   1   0 | 0   1   1  0   1
sefa( . s4o3x . ) |    6 |    3    0    3    0 |   *   *    *   *    *    *    * 96N |   0   0   0   0   1   1    0   0   1 | 1   0   0  1   1
------------------+------+---------------------+-------------------------------------+--------------------------------------+-----------------
demi( . . o3x3x )    12 |   12    6    0    0 |   4   4    0   0    0    0    0   0 | 24N   *   *   *   *   *    *   *   * | 0   0   0  1   1
      s3s4o . .      12 |    0    0    6   24 |   0   0    8   0   12    0    0   0 |   * 24N   *   *   *   *    *   *   * | 1   1   0  0   0
      s3s 2 x .       6 |    3    0    0    6 |   0   0    2   0    0    3    0   0 |   *   * 96N   *   *   *    *   *   * | 1   0   1  0   0
      s3s . 2 x       6 |    0    3    0    6 |   0   0    2   0    0    0    3   0 |   *   *   * 96N   *   *    *   *   * | 0   1   1  0   0
      . s4o3x .      12 |   12    0    6    0 |   4   0    0   0    0    0    0   4 |   *   *   *   * 24N   *    *   *   * | 1   0   0  1   0
sefa( s3s4o3x . )     9 |    6    0    3    6 |   1   0    0   0    3    3    0   1 |   *   *   *   *   * 96N    *   *   * | 1   0   0  0   1
sefa( s3s4o 2 x )     6 |    0    3    2    4 |   0   0    0   1    2    0    2   0 |   *   *   *   *   *   * 144N   *   * | 0   1   0  0   1
sefa( s3s 2 x3x )    12 |    6    6    0    6 |   0   2    0   0    0    3    3   0 |   *   *   *   *   *   *    * 96N   * | 0   0   1  0   1
sefa( . s4o3x3x )    24 |   12   12   12    0 |   0   4    0   6    0    0    0   4 |   *   *   *   *   *   *    *   * 24N | 0   0   0  1   1
------------------+------+---------------------+-------------------------------------+--------------------------------------+-----------------
      s3s4o3x .     288 |  288    0  144  576 |  96   0  192   0  288  288    0  96 |   0  24  96   0  24  96    0   0   0 | N   *   *  *   *
      s3s4o 2 x      24 |    0   12   12   48 |   0   0   16   6   24    0   24   0 |   0   2   0   8   0   0   12   0   0 | * 12N   *  *   *
      s3s 2 x3x      18 |    9    9    0   18 |   0   3    6   0    0    9    9   0 |   0   0   3   3   0   0    0   3   0 | *   * 32N  *   *
      . s4o3x3x      96 |   96   48   48    0 |  32  32    0  24    0    0    0  32 |   8   0   0   0   8   0    0   0   8 | *   *   * 3N   *
sefa( s3s4o3x3x )    36 |   24   18   12   24 |   4   8    0   6   12   12   12   4 |   1   0   0   0   0   4    6   4   1 | *   *   *  * 24N

starting figure: x3x4o3x3x

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