Acronym | tocth |
Name | hyperbolic truncated (order 4) octahedral honeycomb |
Circumradius | sqrt(-2) = 1.414214 i |
This non-compact hyperbolic tesselation uses squat in the sense of an infinite horohedron as one of its cell types.
Incidence matrix according to Dynkin symbol
x3x4o4o (N,M → ∞) . . . . | 6NM | 1 4 | 4 4 | 4 1 --------+-----+----------+---------+------ x . . . | 2 | 3NM * | 4 0 | 4 0 . x . . | 2 | * 12NM | 1 2 | 2 1 --------+-----+----------+---------+------ x3x . . | 6 | 3 3 | 4NM * | 2 0 . x4o . | 4 | 0 4 | * 6NM | 1 1 --------+-----+----------+---------+------ x3x4o . ♦ 24 | 12 24 | 8 6 | NM * . x4o4o ♦ M | 0 2M | 0 M | * 6N snubbed forms: s3s4o4o
o4x4o *b3x (N,M → ∞) . . . . | 12NM | 4 1 | 2 2 4 | 1 2 2 -----------+------+----------+-------------+--------- . x . . | 2 | 24NM * | 1 1 1 | 1 1 1 . . . x | 2 | * 6NM | 0 0 4 | 0 2 2 -----------+------+----------+-------------+--------- o4x . . | 4 | 4 0 | 6NM * * | 1 1 0 . x4o . | 4 | 4 0 | * 6NM * | 1 0 1 . x . *b3x | 6 | 3 3 | * * 8NM | 0 1 1 -----------+------+----------+-------------+--------- o4x4o . | 2M | 4M 0 | M M 0 | 6N * * o4x . *b3x | 24 | 24 12 | 6 0 8 | * NM * . x4o *b3x | 24 | 24 12 | 0 6 8 | * * NM
x3xØx3*a3xØx3*a (N,M → ∞) . . . . . | 24NM | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ----------------+------+--------------------------+---------------------------------+--------------- x . . . . | 2 | 12NM * * * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 12NM * * * | 1 0 0 0 1 1 0 0 | 1 1 0 0 1 . . x . . | 2 | * * 12NM * * | 0 1 0 0 0 0 1 1 | 0 0 1 1 1 . . . x . | 2 | * * * 12NM * | 0 0 1 0 1 0 1 0 | 1 0 1 0 1 . . . . x | 2 | * * * * 12NM | 0 0 0 1 0 1 0 1 | 0 1 0 1 1 ----------------+------+--------------------------+---------------------------------+--------------- x3x . . . | 6 | 3 3 0 0 0 | 4NM * * * * * * * | 1 1 0 0 0 x . x3*a . . | 6 | 3 0 3 0 0 | * 4NM * * * * * * | 0 0 1 1 0 x . . *a3x . | 6 | 3 0 0 3 0 | * * 4NM * * * * * | 1 0 1 0 0 x . . . x3*a | 6 | 3 0 0 0 3 | * * * 4NM * * * * | 0 1 0 1 0 . x . x . | 4 | 0 2 0 2 0 | * * * * 6NM * * * | 1 0 0 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * 6NM * * | 0 1 0 0 1 . . x x . | 4 | 0 0 2 2 0 | * * * * * * 6NM * | 0 0 1 0 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * 6NM | 0 0 0 1 1 ----------------+------+--------------------------+---------------------------------+--------------- x3x . *a3x . ♦ 24 | 12 12 0 12 0 | 4 0 4 0 6 0 0 0 | NM * * * * x3x . . x3*a ♦ 24 | 12 12 0 0 12 | 4 0 0 4 0 6 0 0 | * NM * * * x . x3*a3x . ♦ 24 | 12 0 12 12 0 | 0 4 4 0 0 0 6 0 | * * NM * * x . x3*a . x3*a ♦ 24 | 12 0 12 0 12 | 0 4 0 4 0 0 0 6 | * * * NM * . xØx xØx ♦ 4M | 0 2M 2M 2M 2M | 0 0 0 0 M M M M | * * * * 6N
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