Acronym | erad |
Name | expanded rhombic dodecahedron |
© | |
Vertex figure | [43,r], [4,3,4,R] |
Face vector | 48, 96, 50 |
Confer | |
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The rhombs {(r,R)2} have vertex angles r = arccos(1/3) = 70.528779° resp. R = arccos(-1/3) = 109.471221°. Esp. rr : RR = sqrt(2).
All a = rr and b = RR edges, as provided in the below description, only qualify as pseudo edges wrt. the full polyhedron. The true edge size used here is rR = x = 1.
Incidence matrix according to Dynkin symbol
ao3xx4ob&#zx → height = 0 a = rr = sqrt(8/3) = 1.632993 b = RR = 2/sqrt(3) = 1.154701 o.3o.4o. | 24 * | 2 2 0 | 1 1 2 0 [43,r] .o3.o4.o | * 24 | 0 2 2 | 0 1 2 1 [4,3,4,R] -------------+-------+----------+---------- .. x. .. | 2 0 | 24 * * | 1 0 1 0 oo3oo4oo&#x | 1 1 | * 48 * | 0 1 1 0 .. .x .. | 0 2 | * * 24 | 0 0 1 1 -------------+-------+----------+---------- .. x.4o. | 4 0 | 4 0 0 | 6 * * * ao .. ob&#zx | 2 2 | 0 4 0 | * 12 * * {(r,R)2} .. xx ..&#x | 2 2 | 1 2 1 | * * 24 * .o3.x .. | 0 3 | 0 0 3 | * * * 8
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