Acronym ...
Name octahedra-alternated faceting of scartit

This is a scaliform tetracomb, obtained as a variation of a faceting of the small cellirhombated tesseractic tetracomb (scartit). Or as a Stott addition of the hexadecachoral tetracomb (s4o3o3o4s, hext) with the icositetrachoral tetracomb (o4o3x3o4o, icot), resulting in shifting one fourth of the formerly hexadecachora (hex, in fact the ones, which occur as: s4o 2 o4s) one edge length appart.


Incidence matrix according to Dynkin symbol

s4o3x3o4s   (N → ∞)

demi( . . . . . ) | 48N |   4   1   4   1 |   2   2   4   4   6   6   4 |  1  2   2   2  2  2   6   4   6  2 | 1  2  1  2 1  4
------------------+-----+-----------------+-----------------------------+------------------------------------+----------------
demi( . . x . . ) |   2 | 96N   *   *   * |   1   1   1   1   0   0   1 |  1  1   0   0  1  1   2   0   2  1 | 1  1  0  1 1  2
      s4o . . .   |   2 |   * 24N   *   * |   0   0   0   4   4   0   0 |  0  2   2   0  0  2   4   2   0  0 | 1  2  1  0 0  2
      s . 2 . s   |   2 |   *   * 96N   * |   0   0   1   0   2   2   0 |  0  0   1   1  0  0   2   2   2  0 | 0  1  1  1 0  2
      . . . o4s   |   2 |   *   *   * 24N |   0   0   0   0   0   4   4 |  0  0   0   2  2  0   0   2   4  2 | 0  0  1  2 1  2
------------------+-----+-----------------+-----------------------------+------------------------------------+----------------
demi( . o3x . . ) |   3 |   3   0   0   0 | 32N   *   *   *   *   *   * |  1  1   0   0  0  0   1   0   0  1 | 1  1  0  0 1  1
demi( . . x3o . ) |   3 |   3   0   0   0 |   * 32N   *   *   *   *   * |  1  0   0   0  1  1   0   0   1  0 | 1  0  0  1 1  1
      s 2 x 2 s   |   4 |   2   0   2   0 |   *   * 48N   *   *   *   * |  0  0   0   0  0  0   2   0   2  0 | 0  1  0  1 0  2
sefa( s4o3x . . ) |   6 |   3   3   0   0 |   *   *   * 32N   *   *   * |  0  1   0   0  0  1   1   0   0  0 | 1  1  0  0 0  1
sefa( s4o . 2 s ) |   3 |   0   1   2   0 |   *   *   *   * 96N   *   * |  0  0   1   0  0  0   1   1   0  0 | 0  1  1  0 0  1
sefa( s 2 . o4s ) |   3 |   0   0   2   1 |   *   *   *   *   * 96N   * |  0  0   0   1  0  0   0   1   1  0 | 0  0  1  1 0  1
sefa( . . x3o4s ) |   6 |   3   0   0   3 |   *   *   *   *   *   * 32N |  0  0   0   0  1  0   0   0   1  1 | 0  0  0  1 1  1
------------------+-----+-----------------+-----------------------------+------------------------------------+----------------
demi( . o3x3o . )    6 |  12   0   0   0 |   4   4   0   0   0   0   0 | 8N  *   *   *  *  *   *   *   *  * | 1  0  0  0 1  0
      s4o3x . .     12 |  12   6   0   0 |   4   0   0   4   0   0   0 |  * 8N   *   *  *  *   *   *   *  * | 1  1  0  0 0  0
      s4o . 2 s      4 |   0   2   4   0 |   0   0   0   0   4   0   0 |  *  * 24N   *  *  *   *   *   *  * | 0  1  1  0 0  0
      s 2 . o4s      4 |   0   0   4   2 |   0   0   0   0   0   4   0 |  *  *   * 24N  *  *   *   *   *  * | 0  0  1  1 0  0
      . . x3o4s     12 |  12   0   0   6 |   0   4   0   0   0   0   4 |  *  *   *   * 8N  *   *   *   *  * | 0  0  0  1 1  0
sefa( s4o3x3o . )   12 |  12   6   0   0 |   0   4   0   4   0   0   0 |  *  *   *   *  * 8N   *   *   *  * | 1  0  0  0 0  1
sefa( s4o3x 2 s )    9 |   6   3   6   0 |   1   0   3   1   3   0   0 |  *  *   *   *  *  * 32N   *   *  * | 0  1  0  0 0  1
sefa( s4o 2 o4s )    4 |   0   1   4   1 |   0   0   0   0   2   2   0 |  *  *   *   *  *  *   * 48N   *  * | 0  0  1  0 0  1
sefa( s 2 x3o4s )    9 |   6   0   6   3 |   0   1   3   0   0   3   1 |  *  *   *   *  *  *   *   * 32N  * | 0  0  0  1 0  1
sefa( . o3x3o4s )   12 |  12   0   0   6 |   4   0   0   0   0   0   4 |  *  *   *   *  *  *   *   *   * 8N | 0  0  0  0 1  1
------------------+-----+-----------------+-----------------------------+------------------------------------+----------------
      s4o3x3o .     48 |  96  24   0   0 |  32  32   0  32   0   0   0 |  8  8   0   0  0  8   0   0   0  0 | N  *  *  * *  *
      s4o3x 2 s     24 |  24  12  24   0 |   8   0  12   8  24   0   0 |  0  2   6   0  0  0   8   0   0  0 | * 4N  *  * *  *
      s4o 2 o4s      8 |   0   4  16   4 |   0   0   0   0  16  16   0 |  0  0   4   4  0  0   0   8   0  0 | *  * 6N  * *  *
      s 2 x3o4s     24 |  24   0  24  12 |   0   8  12   0   0  24   8 |  0  0   0   6  2  0   0   0   8  0 | *  *  * 4N *  *
      . o3x3o4s     48 |  96   0   0  24 |  32  32   0   0   0   0  32 |  8  0   0   0  8  0   0   0   0  8 | *  *  *  * N  *
sefa( s4o3x3o4s )   24 |  24   6  24   6 |   4   4  12   4  12  12   4 |  0  0   0   0  0  1   4   6   4  1 | *  *  *  * * 8N
or
demi( . . . . . )   | 24N |   4   2   2 |   4   4   8  12 |  1  4   4  4  12   4 | 2  4  1  4
--------------------+-----+-------------+-----------------+----------------------+-----------
demi( . . x . . )   |   2 | 48N   *   * |   2   1   2   0 |  1  2   0  2   4   0 | 2  2  0  2
      s4o . . .   & |   2 |   * 24N   * |   0   0   4   4 |  0  2   2  2   4   2 | 1  2  1  2
      s . 2 . s     |   2 |   *   * 48N |   0   1   0   4 |  0  0   2  0   4   2 | 0  2  1  2
--------------------+-----+-------------+-----------------+----------------------+-----------
demi( . o3x . . ) & |   3 |   3   0   0 | 32N   *   *   * |  1  1   0  1   1   0 | 2  1  0  1
      s 2 x 2 s     |   4 |   2   0   2 |   * 24N   *   * |  0  0   0  0   4   0 | 0  2  0  2
sefa( s4o3x . . ) & |   6 |   3   3   0 |   *   * 32N   * |  0  1   0  1   1   0 | 1  1  0  1
sefa( s4o . 2 s ) & |   3 |   0   1   2 |   *   *   * 96N |  0  0   1  0   1   1 | 0  1  1  1
--------------------+-----+-------------+-----------------+----------------------+-----------
demi( . o3x3o . )      6 |  12   0   0 |   8   0   0   0 | 4N  *   *  *   *   * | 2  0  0  0
      s4o3x . .   &   12 |  12   6   0 |   4   0   4   0 |  * 8N   *  *   *   * | 1  1  0  0
      s4o . 2 s   &    4 |   0   2   4 |   0   0   0   4 |  *  * 24N  *   *   * | 0  1  1  0
sefa( s4o3x3o . ) &   12 |  12   6   0 |   4   0   4   0 |  *  *   * 8N   *   * | 1  0  0  1
sefa( s4o3x 2 s ) &    9 |   6   3   6 |   1   3   1   3 |  *  *   *  * 32N   * | 0  1  0  1
sefa( s4o 2 o4s )      4 |   0   2   4 |   0   0   0   4 |  *  *   *  *   * 24N | 0  0  1  1
--------------------+-----+-------------+-----------------+----------------------+-----------
      s4o3x3o .   &   48 |  96  24   0 |  64   0  32   0 |  8  8   0  8   0   0 | N  *  *  *
      s4o3x 2 s   &   24 |  24  12  24 |   8  12   8  24 |  0  2   6  0   8   0 | * 4N  *  *
      s4o 2 o4s        8 |   0   8  16 |   0   0   0  32 |  0  0   8  0   0   8 | *  * 3N  *
sefa( s4o3x3o4s )     24 |  24  12  24 |   8  12   8  24 |  0  0   0  2   8   6 | *  *  * 4N

starting figure: x4o3x3o4x

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