Acronym rerich
Name rectified rectified-cubic-honeycomb,
variation of small-rhombated-cubic-honeycomb
Confer
uniform relative:
srich  
ambification pre-image:
rich  
general polytopal classes:
isogonal  

Incidence matrix according to Dynkin symbol

q4o3x4o   (N → ∞)

. . . . | 12N |   2   4 |  1   4  2  2 | 2  2 1
--------+-----+---------+--------------+-------
q . . . |   2 | 12N   * |  1   2  0  0 | 2  1 0
. . x . |   2 |   * 24N |  0   1  1  1 | 1  1 1
--------+-----+---------+--------------+-------
q4o . . |   4 |   4   0 | 3N   *  *  * | 2  0 0
q . x . |   4 |   2   2 |  * 12N  *  * | 1  1 0
. o3x . |   3 |   0   3 |  *   * 8N  * | 1  0 1
. . x4o |   4 |   0   4 |  *   *  * 6N | 0  1 1
--------+-----+---------+--------------+-------
q4o3x .   24 |  24  24 |  6  12  8  0 | N  * *
q . x4o    8 |   4   8 |  0   4  0  2 | * 3N *
. o3x4o   12 |   0  24 |  0   0  8  6 | *  * N

x3o3x *b4q   (N → ∞)

. . .    . | 24N |   2   2   2 |  1   2   2  1  1   2 |  1 1  2 1
-----------+-----+-------------+----------------------+----------
x . .    . |   2 | 24N   *   * |  1   1   1  0  0   0 |  1 1  1 0
. . x    . |   2 |   * 24N   * |  0   1   0  1  0   1 |  1 0  1 1
. . .    q |   2 |   *   * 24N |  0   0   1  0  1   1 |  0 1  1 1
-----------+-----+-------------+----------------------+----------
x3o .    . |   3 |   3   0   0 | 8N   *   *  *  *   * |  1 1  0 0
x . x    . |   4 |   2   2   0 |  * 12N   *  *  *   * |  1 0  1 0
x . .    q |   4 |   2   0   2 |  *   * 12N  *  *   * |  0 1  1 0
. o3x    . |   3 |   0   3   0 |  *   *   * 8N  *   * |  1 0  0 1
. o . *b4q |   4 |   0   0   4 |  *   *   *  * 6N   * |  0 1  0 1
. . x    q |   4 |   0   2   2 |  *   *   *  *  * 12N |  0 0  1 1
-----------+-----+-------------+----------------------+----------
x3o3x    .   12 |  12  12   0 |  4   6   0  4  0   0 | 2N *  * *
x3o . *b4q   24 |  24   0  24 |  8   0  12  0  6   0 |  * N  * *
x . x    q    8 |   4   4   4 |  0   2   2  0  0   2 |  * * 6N *
. o3x *b4q   24 |   0  24  24 |  0   0   0  8  6  12 |  * *  * N

uo3xx3ou3xx3*a&#zq   (N → ∞)   → height = 0
                       where u = 2 (pseudo)

o.3o.3o.3o.3*a     | 12N   * |   2   2   2   0   0 |  1  2  1  1   2   2  0  0  0 | 1 1 1  2 0
.o3.o3.o3.o3*a     |   * 12N |   0   0   2   2   2 |  0  0  0  1   2   2  1  1  2 | 0 1 1  2 1
-------------------+---------+---------------------+------------------------------+-----------
.. x. .. ..        |   2   0 | 12N   *   *   *   * |  1  1  0  0   1   0  0  0  0 | 1 1 0  1 0
.. .. .. x.        |   2   0 |   * 12N   *   *   * |  0  1  1  0   0   1  0  0  0 | 1 0 1  1 0
oo3oo3oo3oo3*a&#q  |   1   1 |   *   * 24N   *   * |  0  0  0  1   1   1  0  0  0 | 0 1 1  1 0
.. .x .. ..        |   0   2 |   *   *   * 12N   * |  0  0  0  0   1   0  1  0  1 | 0 1 0  1 1
.. .. .. .x        |   0   2 |   *   *   *   * 12N |  0  0  0  0   0   1  0  1  1 | 0 0 1  1 1
-------------------+---------+---------------------+------------------------------+-----------
.. x.3o. ..        |   3   0 |   3   0   0   0   0 | 4N  *  *  *   *   *  *  *  * | 1 1 0  0 0
.. x. .. x.        |   4   0 |   2   2   0   0   0 |  * 6N  *  *   *   *  *  *  * | 1 0 0  1 0
.. .. o.3x.        |   3   0 |   0   3   0   0   0 |  *  * 4N  *   *   *  *  *  * | 1 0 1  0 0
uo .. ou ..   &#zq |   2   2 |   0   0   4   0   0 |  *  *  * 6N   *   *  *  *  * | 0 1 1  0 0
.. xx .. ..   &#q  |   2   2 |   1   0   2   1   0 |  *  *  *  * 12N   *  *  *  * | 0 1 0  1 0
.. .. .. xx   &#q  |   2   2 |   0   1   2   0   1 |  *  *  *  *   * 12N  *  *  * | 0 0 1  1 0
.o3.x .. ..        |   0   3 |   0   0   0   3   0 |  *  *  *  *   *   * 4N  *  * | 0 1 0  0 1
.o .. .. .x3*a     |   0   3 |   0   0   0   0   3 |  *  *  *  *   *   *  * 4N  * | 0 0 1  0 1
.. .x .. .x        |   0   4 |   0   0   0   2   2 |  *  *  *  *   *   *  *  * 6N | 0 0 0  1 1
-------------------+---------+---------------------+------------------------------+-----------
.. x.3o.3x.          12   0 |  12  12   0   0   0 |  4  6  4  0   0   0  0  0  0 | N * *  * *
uo3xx3ou ..   &#zq   12  12 |  12   0  24  12   0 |  4  0  0  6  12   0  4  0  0 | * N *  * *
uo .. ou3xx3*a&#zq   12  12 |   0  12  24   0  12 |  0  0  4  6   0  12  0  4  0 | * * N  * *
.. xx .. xx   &#q     4   4 |   2   2   4   2   2 |  0  1  0  0   2   2  0  0  1 | * * * 6N *
.o3.x .. .x3*a        0  12 |   0   0   0  12  12 |  0  0  0  0   0   0  4  4  6 | * * *  * N

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