Acronym | ... |
Name | Leonardo polyhedron of type {4,5;19} |
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Vertex figure | [ro5], [ri5], [ro,Ro2,t2], [ri,Ri2,T2] |
Face vector | 144, 360, 180 |
Confer | rhombi-propello-icosahedron {4,5} (pesquat) |
This toroidal polyhedron can be viewed as finite modwrap of the infinite hyperbolic tiling {4,5} (pesquat).
12 * * * | 5 0 0 0 0 0 0 | 5 0 0 [ro5] * 12 * * | 0 5 0 0 0 0 0 | 0 5 0 [ri5] * * 60 * | 1 0 2 1 1 0 0 | 3 0 2 [ro,Ro2,t2] * * * 60 | 0 1 0 0 1 2 1 | 0 3 2 [ri,Ri2,T2] ------------+----------------------+--------- 1 0 1 0 | 60 * * * * * * | 2 0 0 0 1 0 1 | * 60 * * * * * | 0 2 0 0 0 2 0 | * * 60 * * * * | 1 0 1 (around outer ends of tubes) 0 0 2 0 | * * * 30 * * * | 2 0 0 (connecting outer ends of tubes) 0 0 1 1 | * * * * 60 * * | 0 0 2 0 0 0 2 | * * * * * 60 * | 0 1 1 (around inner ends of tubes) 0 0 0 2 | * * * * * * 30 | 0 2 0 (connecting inner ends of tubes) ------------+----------------------+--------- 1 0 3 0 | 2 0 1 1 0 0 0 | 60 * * {(roRo)2} 0 1 0 3 | 0 2 0 0 0 1 1 | * 60 * {(riRi)2} 0 0 2 2 | 0 0 1 0 2 1 0 | * * 60 {(t2T2)}
(combinatorically) 144 | 5 | 5 ----+-----+---- 2 | 360 | 2 ----+-----+---- 4 | 4 | 180
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