Acronym | diddoh |
Name |
hyperbolic disdodecahedral honeycomb, hyperbolic bitruncated order 5 dodecahedral honeycomb |
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Circumradius | sqrt[-1-sqrt(5)] = 1.798907 i |
Vertex figure |
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Confer |
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External links |
As can be read from the matrices below, at every edge there are 2 hexagons. Thus we get as pseudo cells something with hexagons only. From the vertex incidence we further read off that this pseudo tiling happens to use 4 hexagons per vertex. From the here truely being used cells (ti) it is deduced, that any straight edge sequence of that seeming x6o4o needs to be mod-wrapped to pentagonal holes. Therefore those pseudo cells rather are the skew polyhedron x6o4o|5 instead.
Incidence matrix according to Dynkin symbol
o5x3x5o (N → ∞) . . . . | 30N | 2 2 | 1 4 1 | 2 2 --------+-----+---------+-----------+---- . x . . | 2 | 30N * | 1 2 0 | 2 1 . . x . | 2 | * 30N | 0 2 1 | 1 2 --------+-----+---------+-----------+---- o5x . . | 5 | 5 0 | 6N * * | 2 0 . x3x . | 6 | 3 3 | * 20N * | 1 1 . . x5o | 5 | 0 5 | * * 6N | 0 2 --------+-----+---------+-----------+---- o5x3x . ♦ 60 | 60 30 | 12 20 0 | N * . x3x5o ♦ 60 | 30 60 | 0 20 12 | * N
or . . . . | 15N | 4 | 2 4 | 4 -----------+-----+-----+--------+-- . x . . & | 2 | 30N | 1 2 | 3 -----------+-----+-----+--------+-- o5x . . & | 5 | 5 | 6N * | 2 . x3x . | 6 | 6 | * 10N | 2 -----------+-----+-----+--------+-- o5x3x . & ♦ 60 | 90 | 12 20 | N
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