Acronym	gratoh
Name	great rhombated tetrahedral-octahedral honeycomb, cantitruncated alternated cubic honeycomb, cantitruncated tetrahedral-octahedral honeycomb, runcicantic cubic honeycomb
	© ©   ©
Vertex figure	©
Confer	general polytopal classes: partial Stott expansions
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Incidence matrix according to Dynkin symbol

x3x3o *b4x   (N → ∞)

. . .    . | 24N |   1   2   1 |  2  1  1  2 |  1 2 1
-----------+-----+-------------+-------------+-------
x . .    . |   2 | 12N   *   * |  2  1  0  0 |  1 2 0
. x .    . |   2 |   * 24N   * |  1  0  1  1 |  1 1 1
. . .    x |   2 |   *   * 12N |  0  1  0  2 |  0 2 1
-----------+-----+-------------+-------------+-------
x3x .    . |   6 |   3   3   0 | 8N  *  *  * |  1 1 0
x . .    x |   4 |   2   0   2 |  * 6N  *  * |  0 2 0
. x3o    . |   3 |   0   3   0 |  *  * 8N  * |  1 0 1
. x . *b4x |   8 |   0   4   4 |  *  *  * 6N |  0 1 1
-----------+-----+-------------+-------------+-------
x3x3o    . ♦  12 |   6  12   0 |  4  0  4  0 | 2N * *
x3x . *b4x ♦  48 |  24  24  24 |  8 12  0  6 |  * N *
. x3o *b4x ♦  24 |   0  24  12 |  0  0  8  6 |  * * N

snubbed forms: x3x3o *b4s

s4o3x4x   (N → ∞)

demi( . . . . ) | 24N |   2   1   1 |  1  2  2  1 | 1  1 2
----------------+-----+-------------+-------------+-------
demi( . . x . ) |   2 | 24N   *   * |  1  1  1  0 | 1  1 1
demi( . . . x ) |   2 |   * 12N   * |  0  2  0  1 | 1  0 2
      s4o       |   2 |   *   * 12N |  0  0  2  1 | 0  1 2
----------------+-----+-------------+-------------+-------
demi( . o3x . ) |   3 |   3   0   0 | 8N  *  *  * | 1  1 0
demi( . . x4x ) |   8 |   4   4   0 |  * 6N  *  * | 1  0 1
sefa( s4o3x . ) |   6 |   3   0   3 |  *  * 8N  * | 0  1 1
sefa( s4o . x ) |   4 |   0   2   2 |  *  *  * 6N | 0  0 2
----------------+-----+-------------+-------------+-------
demi( . o3x4x ) ♦  24 |  24  12   0 |  8  6  0  0 | N  * *
      s4o3x .   ♦  12 |  12   0   6 |  4  0  4  0 | * 2N *
sefa( s4o3x4x ) ♦  48 |  24  24  24 |  0  6  8 12 | *  * N

starting figure: x4o3x4x