Acronym tath
Name hyperbolic truncated (order 6) tetrahedral honeycomb
 
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Circumradius sqrt(-2) = 1.414214 i
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This non-compact hyperbolic tesselation uses trat in the sense of an infinite horohedron as one of its cell types.


Incidence matrix according to Dynkin symbol

x3x3o6o   (N,M → ∞)

. . . . | 2NM |  1   6 |   6   6 |  6  1
--------+-----+--------+---------+------
x . . . |   2 | NM   * |   6   0 |  6  0
. x . . |   2 |  * 6NM |   1   2 |  2  1
--------+-----+--------+---------+------
x3x . . |   6 |  3   3 | 2NM   * |  2  0
. x3o . |   3 |  0   3 |   * 4NM |  1  1
--------+-----+--------+---------+------
x3x3o .   12 |  6  12 |   4   4 | NM  *
. x3o6o    M |  0  3M |   0  2M |  * 2N

x3x3o3o3*b   (N,M → ∞)

. . . .    | 4NM |   1    6 |   6   3   3 |  3  3  1
-----------+-----+----------+-------------+---------
x . . .    |   2 | 2NM    * |   6   0   0 |  3  3  0
. x . .    |   2 |   * 12NM |   1   1   1 |  1  1  1
-----------+-----+----------+-------------+---------
x3x . .    |   6 |   3    3 | 4NM   *   * |  1  1  0
. x3o .    |   3 |   0    3 |   * 4NM   * |  1  0  1
. x . o3*b |   3 |   0    3 |   *   * 4NM |  0  1  1
-----------+-----+----------+-------------+---------
x3x3o .      12 |   6   12 |   4   4   0 | NM  *  *
x3x . o3*b   12 |   6   12 |   4   0   4 |  * NM  *
. x3o3o3*b    M |   0   3M |   0   M   M |  *  * 4N

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