| Acronym | ... |
| Name | bitruncated cubic honeycomb tetracomb |
| Circumradius | sqrt(-11/2) = 2.345208 i |
This regular non-compact hyperbolic tesselation uses the bitruncated cubic honeycomb in the sense of an infinite horochoron as one of its cells.
Incidence matrix according to Dynkin symbol
o3o4x3x4o (N,M → ∞) . . . . . | 96NM | 3 2 | 3 6 1 | 1 6 3 | 2 3 ----------+------+------------+----------------+----------------+------- . . x . . | 2 | 144NM * | 2 2 0 | 1 4 1 | 2 2 . . . x . | 2 | * 96NM | 0 3 1 | 0 3 3 | 1 3 ----------+------+------------+----------------+----------------+------- . o4x . . | 4 | 4 0 | 72NM * * | 1 2 0 | 2 1 . . x3x . | 6 | 3 3 | * 96NM * | 0 2 1 | 1 2 . . . x4o | 4 | 0 4 | * * 24NM | 0 0 3 | 0 3 ----------+------+------------+----------------+----------------+------- o3o4x . . ♦ 8 | 12 0 | 6 0 0 | 12NM * * | 2 0 . o4x3x . ♦ 24 | 24 12 | 6 8 0 | * 24NM * | 1 1 . . x3x4o ♦ 24 | 12 24 | 0 8 6 | * * 12NM | 0 2 ----------+------+------------+----------------+----------------+------- o3o4x3x . ♦ 192 | 288 96 | 144 96 0 | 24 24 0 | NM * . o4x3x4o ♦ 12M | 12M 12M | 3M 8M 3M | 0 M M | * 24N
_x_
_- | -_
x_ x _x
-_ | _-
x
x3x3x3x3*a3x3*c (N,M,K,L → ∞) . . . . . | 192NMKL | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ----------------+---------+------------------------------------+-----------------------------------------------------------------------+--------------------------------------------------------------+------------------------- x . . . . | 2 | 96NMKL * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 96NMKL * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 96NMKL * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 96NMKL * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 96NMKL | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------------+---------+------------------------------------+-----------------------------------------------------------------------+--------------------------------------------------------------+------------------------- x3x . . . | 6 | 3 3 0 0 0 | 32NMKL * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 48NMKL * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x3*a . | 6 | 3 0 0 3 0 | * * 32NMKL * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . *a3x | 6 | 3 0 0 0 3 | * * * 32NMKL * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 0 | * * * * 32NMKL * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 48NMKL * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 48NMKL * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 32NMKL * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x3*c | 6 | 0 0 3 0 3 | * * * * * * * * 32NMKL * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x x | 4 | 0 0 0 2 2 | * * * * * * * * * 48NMKL | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------------+---------+------------------------------------+-----------------------------------------------------------------------+--------------------------------------------------------------+------------------------- x3x3x . . ♦ 24 | 12 12 12 0 0 | 4 6 0 0 4 0 0 0 0 0 | 8NMKL * * * * * * * * * | 1 1 0 0 0 x3x . x3*a . ♦ 24 | 12 12 0 12 0 | 4 0 4 0 0 6 0 0 0 0 | * 8NMKL * * * * * * * * | 1 0 1 0 0 x3x . . *a3x ♦ 24 | 12 12 0 0 12 | 4 0 0 4 0 0 6 0 0 0 | * * 8NMKL * * * * * * * | 0 1 1 0 0 x . x3x3*a . ♦ 24 | 12 0 12 12 0 | 0 6 4 0 0 0 0 4 0 0 | * * * 8NMKL * * * * * * | 1 0 0 1 0 x . x . *a3x3*c ♦ 24 | 12 0 12 0 12 | 0 6 0 4 0 0 0 0 4 0 | * * * * 8NMKL * * * * * | 0 1 0 1 0 x . . x3*a3x ♦ 24 | 12 0 0 12 12 | 0 0 4 4 0 0 0 0 0 6 | * * * * * 8NMKL * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 0 | 0 0 0 0 4 6 0 4 0 0 | * * * * * * 8NMKL * * * | 1 0 0 0 1 . x3x . x3*c ♦ 24 | 0 12 12 0 12 | 0 0 0 0 4 0 6 0 4 0 | * * * * * * * 8NMKL * * | 0 1 0 0 1 . x . x x ♦ 8 | 0 4 0 4 4 | 0 0 0 0 0 2 2 0 0 2 | * * * * * * * * 24NMKL * | 0 0 1 0 1 . . x3x x3*c ♦ 24 | 0 0 12 12 12 | 0 0 0 0 0 0 0 4 4 6 | * * * * * * * * * 8NMKL | 0 0 0 1 1 ----------------+---------+------------------------------------+-----------------------------------------------------------------------+--------------------------------------------------------------+------------------------- x3x3x3x3*a . ♦ 24M | 12M 12M 12M 12M 0 | 4M 6M 4M 0 4M 6M 0 4M 0 0 | M M 0 M 0 0 M 0 0 0 | 8NKL * * * * x3x3x . *a3x3*c ♦ 24K | 12K 12K 12K 0 12K | 4K 6K 0 4K 4K 0 6K 0 4K 0 | K 0 K 0 K 0 0 K 0 0 | * 8NML * * * x3x . x3*a3x ♦ 192 | 96 96 0 96 96 | 32 0 32 32 0 48 48 0 0 48 | 0 8 8 0 0 8 0 0 24 0 | * * NMKL * * x . x3x3*a3x3*c ♦ 24L | 12L 0 12L 12L 12L | 0 6L 4L 4L 0 0 0 4L 4L 6L | 0 0 0 L L L 0 0 0 L | * * * 8NMK * . x3x3x x3*c ♦ 192 | 0 96 96 96 96 | 0 0 0 0 32 48 48 32 32 48 | 0 0 0 0 0 0 8 8 24 8 | * * * * NMKL
© 2004-2026 | top of page |