Acronym | ... |
Name | lamina-truncate of hyperbolic x3x4x338o tesselation |
Circumradius | sqrt[-(4+7 sqrt(2))]/2 = 1.864101 i |
Confer |
This hypercompact hyperbolic tesselation uses the truncated order 8 triangle tiling (totrat) in the sense of an infinite bollohedron as one of its cell types. Further it uses its prism (totratip) in the sense of an infinite bollochoron alike.
Note that the also bollochoral x4x3x8o of x3x4x3x8o in here are used as additional mirrors, so that this becomes a still uniform lamina-truncate.
Incidence matrix according to Dynkin symbol
lamina-truncate( x3x4x3x8o ) (N,M → ∞) . . . . . | 288NM | 2 1 1 2 | 2 2 4 1 2 2 1 | 2 4 4 2 2 1 1 | 4 2 2 ----------+-------+-------------------------+---------------------------------------+-----------------------------------+------------ x . . . . | 2 | 288NM * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 . x . . . | 2 | * 144NM * * | 2 0 0 1 2 0 0 | 2 4 0 0 2 1 0 | 4 2 0 . . x . . | 2 | * * 144NM * | 0 2 0 1 0 2 0 | 2 0 4 0 2 0 1 | 4 0 2 . . . x . | 2 | * * * 288NM | 0 0 2 0 1 1 1 | 0 2 2 2 1 1 1 | 2 2 2 ----------+-------+-------------------------+---------------------------------------+-----------------------------------+------------ x3x . . . | 6 | 3 3 0 0 | 96NM * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 x . x . . | 4 | 2 0 2 0 | * 144NM * * * * * | 1 0 2 0 0 0 0 | 2 0 1 x . . x . | 4 | 2 0 0 2 | * * 288NM * * * * | 0 1 1 1 0 0 0 | 1 1 1 . x4x . . | 8 | 0 4 4 0 | * * * 36NM * * * | 2 0 0 0 2 0 0 | 4 0 0 . x . x . | 4 | 0 2 0 2 | * * * * 144NM * * | 0 2 0 0 1 1 0 | 2 2 0 . . x3x . | 6 | 0 0 3 3 | * * * * * 96NM * | 0 0 2 0 1 0 1 | 2 0 2 . . . x8o | 8 | 0 0 0 8 | * * * * * * 36NM | 0 0 0 2 0 1 1 | 0 2 2 ----------+-------+-------------------------+---------------------------------------+-----------------------------------+------------ x3x4x . . ♦ 48 | 24 24 24 0 | 8 12 0 6 0 0 0 | 12NM * * * * * * | 2 0 0 x3x . x . ♦ 12 | 6 6 0 6 | 2 0 3 0 3 0 0 | * 96NM * * * * * | 1 1 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 96NM * * * * | 1 0 1 x . . x8o ♦ 16 | 8 0 0 16 | 0 0 8 0 0 0 2 | * * * 36NM * * * | 0 1 1 . x4x3x . ♦ 48 | 0 24 24 24 | 0 0 0 6 12 8 0 | * * * * 12NM * * | 2 0 0 . x . x8o ♦ 16 | 0 8 0 16 | 0 0 0 0 8 0 2 | * * * * * 18NM * | 0 2 0 . . x3x8o ♦ 24M | 0 0 12M 24M | 0 0 0 0 0 8M 3M | * * * * * * 12N | 0 0 2 ----------+-------+-------------------------+---------------------------------------+-----------------------------------+------------ x3x4x3x . ♦ 1152 | 576 576 576 576 | 192 288 288 144 288 192 0 | 24 96 96 0 24 0 0 | NM * * x3x . x8o ♦ 48 | 24 24 0 48 | 8 0 24 0 24 0 6 | 0 8 0 3 0 3 0 | * 12NM * x . x3x8o ♦ 48M | 24M 0 24M 48M | 0 12M 24M 0 0 16M 6M | 0 0 8M 3M 0 0 2 | * * 12N
© 2004-2024 | top of page |