Acronym paltite
Name prismatoaltitruncated ico tetracomb
Confer
general polytopal classes:
scaliform  

This is a scaliform tetracomb, obtained as a variation of a faceting of the prismatotruncated icositetrachoric tetracomb (paticot). Or as a Stott addition of the snub icositetrachoric tetracomb (s3s4o3o3o, sadit) with the icositetrachoral tetracomb (o3o4o3x3o, icot).


Incidence matrix according to Dynkin symbol

s3s4o3x3o   (N → ∞)

demi( . . . . . ) | 144N |    4   1    4 |   2   2   2    3    8   4 |   1   1   4   2   6   4   2 | 2   2  1   3
------------------+------+---------------+---------------------------+-----------------------------+-------------
demi( . . . x . ) |    2 | 288N   *    * |   1   1   0    0    2   1 |   1   0   1   1   2   2   1 | 1   1  1   2
      . s4o . .   |    2 |    * 72N    * |   0   0   0    2    0   4 |   0   1   0   2   4   0   2 | 2   0  1   2
sefa( s3s . . . ) |    2 |    *   * 288N |   0   0   1    1    2   0 |   0   1   2   0   2   1   0 | 2   1  0   1
------------------+------+---------------+---------------------------+-----------------------------+-------------
demi( . . o3x . ) |    3 |    3   0    0 | 96N   *   *    *    *   * |   1   0   0   1   1   0   0 | 1   0  1   1
demi( . . . x3o ) |    3 |    3   0    0 |   * 96N   *    *    *   * |   1   0   0   0   0   2   1 | 0   1  1   2
      s3s . . .   |    3 |    0   0    3 |   *   * 96N    *    *   * |   0   1   2   0   0   0   0 | 2   1  0   0
sefa( s3s4o . . ) |    3 |    0   1    2 |   *   *   * 144N    *   * |   0   1   0   0   2   0   0 | 2   0  0   1
sefa( s3s 2 x . ) |    4 |    2   0    2 |   *   *   *    * 288N   * |   0   0   1   0   1   1   0 | 1   1  0   1
sefa( . s4o3x . ) |    6 |    3   3    0 |   *   *   *    *    * 96N |   0   0   0   1   1   0   1 | 1   0  1   1
------------------+------+---------------+---------------------------+-----------------------------+-------------
demi( . . o3x3o )     6 |   12   0    0 |   4   4   0    0    0   0 | 24N   *   *   *   *   *   * | 0   0  1   1
      s3s4o . .      12 |    0   6   24 |   0   0   8   12    0   0 |   * 12N   *   *   *   *   * | 2   0  0   0
      s3s 2 x .       6 |    3   0    6 |   0   0   2    0    3   0 |   *   * 96N   *   *   *   * | 1   1  0   0
      . s4o3x .      12 |   12   6    0 |   4   0   0    0    0   4 |   *   *   * 24N   *   *   * | 1   0  1   0
sefa( s3s4o3x . )     9 |    6   3    6 |   1   0   0    3    3   1 |   *   *   *   * 96N   *   * | 1   0  0   1
sefa( s3s 2 x3o )     6 |    6   0    3 |   0   2   0    0    3   0 |   *   *   *   *   * 96N   * | 0   1  0   1
sefa( . s4o3x3o )    12 |   12   6    0 |   0   4   0    0    0   4 |   *   *   *   *   *   * 24N | 0   0  1   1
------------------+------+---------------+---------------------------+-----------------------------+-------------
      s3s4o3x .     288 |  288 144  576 |  96   0 192  288  288  96 |   0  24  96  24  96   0   0 | N   *  *   *
      s3s 2 x3o       9 |    9   0    9 |   0   3   3    0    9   0 |   0   0   3   0   0   3   0 | * 32N  *   *
      . s4o3x3o      48 |   96  24    0 |  32  32   0    0    0  32 |   8   0   0   8   0   0   8 | *   * 3N   *
sefa( s3s4o3x3o )    18 |   24   6   12 |   4   8   0    6   12   4 |   1   0   0   0   4   4   1 | *   *  * 24N

starting figure: x3x4o3x3o

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