Acronym dacha
Name dicubatihemiapeiratic honeycomb
 
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This honeycomb uses sha in the sense of an infinite horocell as one of its facet types. And therefore aze likewise becomes used as an infinite subdimensional horoelement.

The vertex figure happens to be a u-laced q-trigonal retroprism, q(-q)3oo&#u.


Incidence matrix according to Dynkin symbol

             _x
         _4-  |
  o-3-o<      ∞
         4/3  |
             -x
o3o4x∞x4/3*b   (N,M,K → ∞)

. . . .      | 8NMK |     3     3 |    3    3    3 |   1   1  3
-------------+------+-------------+----------------+-----------
. . x .      |    2 | 12NMK     * |    2    0    1 |   1   0  2
. . . x      |    2 |     * 12NMK |    0    2    1 |   0   1  2
-------------+------+-------------+----------------+-----------
. o4x .      |    4 |     4     0 | 6NMK    *    * |   1   0  1
. o . x4/3*b |    4 |     0     4 |    * 6NMK    * |   0   1  1
. . x∞x         2M |     M     M |    *    * 12NK |   0   0  2
-------------+------+-------------+----------------+-----------
o3o4x .          8 |    12     0 |    6    0    0 | NMK   *  *
o3o . x4/3*b     8 |     0    12 |    0    6    0 |   * NMK  *
. o4x∞x4/3*b   4MK |   4MK   4MK |   MK   MK   4K |   *   * 6N

             _x
         _4-  |
  o3/2o<      ∞
         4/3  |
             -x
o3/2o4x∞x4/3*b   (N,M,K → ∞)

.   . . .      | 8NMK |     3     3 |    3    3    3 |   1   1  3
---------------+------+-------------+----------------+-----------
.   . x .      |    2 | 12NMK     * |    2    0    1 |   1   0  2
.   . . x      |    2 |     * 12NMK |    0    2    1 |   0   1  2
---------------+------+-------------+----------------+-----------
.   o4x .      |    4 |     4     0 | 6NMK    *    * |   1   0  1
.   o . x4/3*b |    4 |     0     4 |    * 6NMK    * |   0   1  1
.   . x∞x         2M |     M     M |    *    * 12NK |   0   0  2
---------------+------+-------------+----------------+-----------
o3/2o4x .          8 |    12     0 |    6    0    0 | NMK   *  *
o3/2o . x4/3*b     8 |     0    12 |    0    6    0 |   * NMK  *
.   o4x∞x4/3*b   4MK |   4MK   4MK |   MK   MK   4K |   *   * 6N

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