Acronym rihach
Name hyperbolic rectified order 6 cubic honeycomb
 
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Circumradius 1/sqrt(-2) = 0.707107 i
Vertex figure
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This non-compact hyperbolic tesselation uses the euclidean tiling trat in the sense of an infinite horohedron as one of its cell types.


Incidence matrix according to Dynkin symbol

o4x3o6o   (N,M → ∞)

. . . . | 2NM |   12 |   6  12 |  6  2
--------+-----+------+---------+------
. x . . |   2 | 12NM |   1   2 |  2  1
--------+-----+------+---------+------
o4x . . |   4 |    4 | 3NM   * |  2  0
. x3o . |   3 |    3 |   * 8NM |  1  1
--------+-----+------+---------+------
o4x3o .   12 |   24 |   6   8 | NM  *
. x3o6o    M |   3M |   0  2M |  * 4N

o4x3o3o3*b   (N,M → ∞)

. . . .    | 4NM |   12 |   6   6   6 |  3  3  2
-----------+-----+------+-------------+---------
. x . .    |   2 | 24NM |   1   1   1 |  1  1  1
-----------+-----+------+-------------+---------
o4x . .    |   4 |    4 | 6NM   *   * |  1  1  0
. x3o .    |   3 |    3 |   * 8NM   * |  1  0  1
. x . o3*b |   3 |    3 |   *   * 8NM |  0  1  1
-----------+-----+------+-------------+---------
o4x3o .      12 |   24 |   6   8   0 | NM  *  *
o4x . o3*b   12 |   24 |   6   0   8 |  * NM  *
. x3o3o3*b    M |   3M |   0   M   M |  *  * 8N

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