Acronym prissibich, 5Y4-3T-3Q3-T3
Name prismatorhombisnub bicubic honeycomb
 
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uniform relative:
octet  
general polytopal classes:
scaliform  
External
links
polytopewiki

This scaliform honeycomb belongs to a subregiment of octet as both the tuts and the combos of tricu and 3 squippies each can be decomposed accordingly into tets and octs.

Alternatively this can be seen from its vertex figure too, which indeed is obtained as the convex hull of the vertex set of a co (i.e. the verf of octet), when 2 neighbouring vertices and a further one, which has distance h=sqrt(3) from both, got omitted therefrom.


Incidence matrix

(N → ∞)

12N |   2   4  1   2 |   3   6   4   3  1  2 |  1  2   5  3 1
----+----------------+-----------------------+---------------
  2 | 12N   *  *   * |   2   2   0   0  0  0 |  1  2   1  0 0
  2 |   * 24N  *   * |   0   2   1   1  0  0 |  0  1   2  1 0
  2 |   *   * 6N   * |   2   0   2   0  0  2 |  1  0   2  2 1
  2 |   *   *  * 12N |   0   0   1   1  1  1 |  0  0   1  2 1
----+----------------+-----------------------+---------------
  3 |   2   0  1   0 | 12N   *   *   *  *  * |  1  0   1  0 0
  3 |   1   2  0   0 |   * 24N   *   *  *  * |  0  1   1  0 0
  4 |   0   2  1   1 |   *   * 12N   *  *  * |  0  0   1  1 0
  3 |   0   2  0   1 |   *   *   * 12N  *  * |  0  0   1  1 0
  3 |   0   0  0   3 |   *   *   *   * 4N  * |  0  0   0  1 1
  6 |   0   0  3   3 |   *   *   *   *  * 4N |  0  0   0  1 1
----+----------------+-----------------------+---------------
  4 |   4   0  2   0 |   4   0   0   0  0  0 | 3N  *   *  * *  tet 1   (green)
  4 |   2   4  0   0 |   0   4   0   0  0  0 |  * 6N   *  * *  tet 2   (green)
  5 |   2   4  1   1 |   1   2   1   1  0  0 |  *  * 12N  * *  squippy (blue)
  9 |   0   6  3   6 |   0   0   3   3  1  1 |  *  *   * 4N *  tricu   (yellow)
 12 |   0   0  6  12 |   0   0   0   0  4  4 |  *  *   *  * N  tut     (red)

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