Acronym | phexdo |
Name | partially hexa-expanded dodecahedron |
©(phexdo is the extremal form of this animation) | |
Vertex figure | [52,r2], [3,r,5,R], [5,R2] |
Face vector | 48, 90, 44 |
Confer |
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The vertex angles of the rhombs {(r,R)2} are r = arccos[(1+sqrt(5)])/sqrt(8)] = 55.105901° resp. R = arccos[-(1+sqrt(5))/sqrt(8)] = 124.894099°.
Incidence matrix according to Dynkin symbol
xoCBffAoF-2-CxofBfFAo-2-oxCffBoFA-&#zx → all heights = 0, where A=x+1/q = 1.707107, B=f+1/q = 2.325141, C=F+1/q = 3.325141 o........-2-o........-2-o........ & | 12 * * | 1 2 1 0 0 | 2 2 0 [52,r2] ...o.....-2-...o.....-2-...o..... & | * 24 * | 0 1 0 2 1 | 1 2 1 [3,r,5,R] ......o..-2-......o..-2-......o.. & | * * 12 | 0 0 1 0 2 | 1 2 0 [5,R2] -----------------------------------------+----------+---------------+-------- x........ ......... ......... & | 2 0 0 | 6 * * * * | 2 0 0 o...o....-2-o...o....-2-o...o....-&#x & | 1 1 0 | * 24 * * * | 1 1 0 o.....o..-2-o.....o..-2-o.....o..-&#x & | 1 0 1 | * * 12 * * | 0 2 0 ...oo....-2-...oo....-2-...oo....-&#x & | 0 2 0 | * * * 24 * | 0 1 1 ...o..o..-2-...o..o..-2-...o..o..-&#x & | 0 1 1 | * * * * 24 | 1 1 0 -----------------------------------------+----------+---------------+-------- x...f..o. ......... .........-&#xt & | 2 2 1 | 1 2 0 0 2 | 12 * * {5} o..oo.o..-2-o..oo.o..-2-o..oo.o..-&#xr & | 1 2 1 | 0 1 1 1 1 | * 24 * {(r,R)2}, ring: (1547) ...ooo...-2-...ooo...-2-...ooo...-&#x | 0 3 0 | 0 0 0 3 0 | * * 8 {3}
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