Acronym	datha
Name	ditetrahemiapeiratic honeycomb
	©
External links

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 tets, but happens to be a u-laced trigonal retroprism, x(-x)3oo&#u, instead.

Incidence matrix according to Dynkin symbol

             _x
         _3-  |
  o-3-o<      ∞
         3/2  |
             -x

o3o3x∞x3/2*b   (N,M,K → ∞)

. . . .      | 4NMK |    3    3 |    3    3   3 |   1   1  3
-------------+------+-----------+---------------+-----------
. . x .      |    2 | 6NMK    * |    2    0   1 |   1   0  2
. . . x      |    2 |    * 6NMK |    0    2   1 |   0   1  2
-------------+------+-----------+---------------+-----------
. o3x .      |    3 |    3    0 | 4NMK    *   * |   1   0  1
. o . x3/2*b |    3 |    0    3 |    * 4NMK   * |   0   1  1
. . x∞x      ♦   2M |    M    M |    *    * 6NK |   0   0  2
-------------+------+-----------+---------------+-----------
o3o3x .      ♦    4 |    6    0 |    4    0   0 | NMK   *  *
o3o . x3/2*b ♦    4 |    0    6 |    0    4   0 |   * NMK  *
. o3x∞x3/2*b ♦  3MK |  3MK  3MK |   MK   MK  3K |   *   * 4N

             _x
         _3-  |
  o3/2o<      ∞
         3/2  |
             -x

o3/2o3x∞x3/2*b   (N,M,K → ∞)

.   . . .      | 4NMK |    3    3 |    3    3   3 |   1   1  3
---------------+------+-----------+---------------+-----------
.   . x .      |    2 | 6NMK    * |    2    0   1 |   1   0  2
.   . . x      |    2 |    * 6NMK |    0    2   1 |   0   1  2
---------------+------+-----------+---------------+-----------
.   o3x .      |    3 |    3    0 | 4NMK    *   * |   1   0  1
.   o . x3/2*b |    3 |    0    3 |    * 4NMK   * |   0   1  1
.   . x∞x      ♦   2M |    M    M |    *    * 6NK |   0   0  2
---------------+------+-----------+---------------+-----------
o3/2o3x .      ♦    4 |    6    0 |    4    0   0 | NMK   *  *
o3/2o . x3/2*b ♦    4 |    0    6 |    0    4   0 |   * NMK  *
.   o3x∞x3/2*b ♦  3MK |  3MK  3MK |   MK   MK  3K |   *   * 4N