| Acronym | ... |
| Name | hyperbolic x3o4x8o tesselation |
| Circumradius | 1/sqrt[-sqrt(2)] = 0.840896 i |
| Vertex figure | xq ok&#q |
| Confer | lamina-trunc( x3o4x8o ) |
This hypercompact hyperbolic tesselation uses the teoct in the sense of an infinite bollohedron as one of its cell types. Note that this bollohedron has exactly the same curvature as the whole honeycomb. Thence its remainder could be mirrored thereon to produce thereby the then compact again lamina-trunc( x3o4x8o ).
Incidence matrix according to Dynkin symbol
x3o4x8o (N,M → ∞) . . . . | 24NM | 2 4 | 1 4 2 2 | 2 2 1 --------+------+-----------+-------------------+----------- x . . . | 2 | 24NM * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 48NM | 0 1 1 1 | 1 1 1 --------+------+-----------+-------------------+----------- x3o . . | 3 | 3 0 | 8NM * * * | 2 0 0 x . x . | 4 | 2 2 | * 24NM * * | 1 1 0 . o4x . | 4 | 0 4 | * * 12NM * | 1 0 1 . . x8o | 8 | 0 8 | * * * 6NM | 0 1 1 --------+------+-----------+-------------------+----------- x3o4x . ♦ 24 | 24 24 | 8 12 6 0 | 2NM * * x . x8o ♦ 16 | 8 16 | 0 8 0 2 | * 3NM * . o4x8o ♦ 4M | 0 8M | 0 0 2M M | * * 6N
© 2004-2026 | top of page |