Acronym | mibkid |
Name |
metabikis dodecahedron, (subsymmetrically) metabistellated-dodecahedron, dual of mibdi |
Vertex figures | [52,K], [5,K2], [T,K2], [t,k3] |
Dual | mibdi |
Dihedral angles |
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Face vector | 12, 20, 10 |
Confer |
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The faces are kites {(k,K,K,K)} with corner angle k = 36° and K = 108°, where side KK has size v = (sqrt(5)-1)/2 = 0.618034, diagonal KK has size x = 1, side kK has size f = (1+sqrt(5))/2 = 1.618034, and diagonal kK has size sqrt[(5+sqrt(5))/2] = 1.902113, golden triangles {(T,t,t)} with the same corner angles t = 36° and T = 108°, where side tT has the same size f, while side tt has size F = (3+sqrt(5))/2 = 2.618034, resp. regular, v-sized pentagons.
F2o || pseudo o2f || pseudo f2v || pseudo o2f || pseudo x2x || v2o where: height(1,2) = 1/2 height(2,3) = v = (sqrt(5)-1)/2 = 0.618034 height(3,4) = (3-sqrt(5))/4 = 0.190983 height(4,5) = (sqrt(5)-1)/4 = 0.309017 2 * * * * | 1 2 2 0 0 0 0 | 2 2 1 0 [t,k3] * 2 * * * | 0 2 0 1 0 0 0 | 1 2 0 0 [T,K2] * * 2 * * | 0 0 0 1 2 0 0 | 0 2 0 1 [5,K2] * * * 4 * | 0 0 1 0 1 1 0 | 0 1 1 1 [5,K2] * * * * 2 | 0 0 0 0 0 2 1 | 0 0 1 2 [52,K] ----------+---------------+-------- 2 0 0 0 0 | 1 * * * * * * | 2 0 0 0 F 1 1 0 0 0 | * 4 * * * * * | 1 1 0 0 f 1 0 0 1 0 | * * 4 * * * * | 0 1 1 0 f 0 1 1 0 0 | * * * 2 * * * | 0 2 0 0 v 0 0 1 1 0 | * * * * 4 * * | 0 1 0 1 v 0 0 0 1 1 | * * * * * 4 * | 0 0 1 1 v 0 0 0 0 2 | * * * * * * 1 | 0 0 0 2 v ----------+---------------+-------- 2 1 0 0 0 | 1 2 0 0 0 0 0 | 2 * * * {(T,t,t)} 1 1 1 1 0 | 0 1 1 1 1 0 0 | * 4 * * {(k,K,K,K)} 1 0 0 2 1 | 0 0 2 0 0 2 0 | * * 2 * {(k,K,K,K)} 0 0 1 2 2 | 0 0 0 0 2 2 1 | * * * 2 {5}
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