Acronym	cyticth
Name	hyperbolic x3o3o3x4*a tesselation, cyclotruncated cubic-tetrahedral honeycomb
Circumradius	sqrt[-1-sqrt(2)] = 1.553774 i
Vertex figure	©
Confer	more general: xPo3o...o3oPxQ*a
External links

Incidence matrix according to Dynkin symbol

x3o3o3x4*a   (N → ∞)

. . . .    | 8N |   3   3 |  3  6  3 |  1 3 3  1
-----------+----+---------+----------+----------
x . . .    |  2 | 12N   * |  2  2  0 |  1 2 1  0
. . . x    |  2 |   * 12N |  0  2  2 |  0 1 2  1
-----------+----+---------+----------+----------
x3o . .    |  3 |   3   0 | 8N  *  * |  1 1 0  0
x . . x4*a |  8 |   4   4 |  * 6N  * |  0 1 1  0
. . o3x    |  3 |   0   3 |  *  * 8N |  0 0 1  1
-----------+----+---------+----------+----------
x3o3o .    ♦  4 |   6   0 |  4  0  0 | 2N * *  *
x3o . x4*a ♦ 24 |  24  12 |  8  6  0 |  * N *  *
x . o3x4*a ♦ 24 |  12  24 |  0  6  8 |  * * N  *
. o3o3x    ♦  4 |   0   6 |  0  0  4 |  * * * 2N

or
. . . .       | 4N |   6 |  6  6 |  2 6
--------------+----+-----+-------+-----
x . . .     & |  2 | 12N |  2  2 |  1 3
--------------+----+-----+-------+-----
x3o . .     & |  3 |   3 | 8N  * |  1 1
x . . x4*a    |  8 |   8 |  * 3N |  0 2
--------------+----+-----+-------+-----
x3o3o .     & ♦  4 |   6 |  4  0 | 2N *
x3o . x4*a  & ♦ 24 |  36 |  8  6 |  * N