Acronym oha (old: doha)
Name (dis)octahemiapeiratic honeycomb
 
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This honeycomb uses tha 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 here looks like 2 tip-to-tip squippies, but happens to be a u-laced square retroprism, x(-x)4oo&#u, instead.


Incidence matrix according to Dynkin symbol

             _x
         _3-  |
  o-4-o<      ∞
         3/2  |
             -x
o4o3x∞x3/2*b   (N,M,K → ∞)

. . . .      | 6NMK |     4     4 |    4    4    4 |   1   1  4
-------------+------+-------------+----------------+-----------
. . x .      |    2 | 12NMK     * |    2    0    1 |   1   0  2
. . . x      |    2 |     * 12NMK |    0    2    1 |   0   1  2
-------------+------+-------------+----------------+-----------
. o3x .      |    3 |     3     0 | 8NMK    *    * |   1   0  1
. o . x3/2*b |    3 |     0     3 |    * 8NMK    * |   0   1  1
. . x∞x         2M |     M     M |    *    * 12NK |   0   0  2
-------------+------+-------------+----------------+-----------
o4o3x .          6 |    12     0 |    8    0    0 | NMK   *  *
o4o . x3/2*b     6 |     0    12 |    0    8    0 |   * NMK  *
. o3x∞x3/2*b   3MK |   3MK   3MK |   MK   MK   3K |   *   * 8K

             _x
         _3-  |
  o4/3o<      ∞
         3/2  |
             -x
o4/3o3x∞x3/2*b   (N,M,K → ∞)

.   . . .      | 6NMK |     4     4 |    4    4    4 |   1   1  4
---------------+------+-------------+----------------+-----------
.   . x .      |    2 | 12NMK     * |    2    0    1 |   1   0  2
.   . . x      |    2 |     * 12NMK |    0    2    1 |   0   1  2
---------------+------+-------------+----------------+-----------
.   o3x .      |    3 |     3     0 | 8NMK    *    * |   1   0  1
.   o . x3/2*b |    3 |     0     3 |    * 8NMK    * |   0   1  1
.   . x∞x         2M |     M     M |    *    * 12NK |   0   0  2
---------------+------+-------------+----------------+-----------
o4/3o3x .          6 |    12     0 |    8    0    0 | NMK   *  *
o4/3o . x3/2*b     6 |     0    12 |    0    8    0 |   * NMK  *
.   o3x∞x3/2*b   3MK |   3MK   3MK |   MK   MK   3K |   *   * 8K

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