Acronym | ... |
Name | edge faceting raded-1-10-5-5 |
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Circumradius | sqrt(7)/2 = 1.322876 |
Vertex figure | [4,5,6], [4,5,4,5/2], [4,6,4/3,6/5]/0 |
Face vector | 30, 50, 21 |
Confer |
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External links |
It should be noted here, that the squares are situated fully within the mirror planes underneath the edges of doe. Accordingly there could be constructed an (centrally hollow) external blend from 12 such self-intersecting polyhedra (12 raded-1-10-5-5), blending out half of their squares, cf. the picture at the right.
Incidence matrix according to Dynkin symbol
reduced( xxux5/2ofxx&#xt , by {10/2} ) → height(1,2) = sqrt[(5-sqrt(5))/10] = 0.525731 height(2,3) = sqrt[(9 sqrt(5)-15)/10] = 0.715864 height(3,4) = sqrt[(5+sqrt(5))/10] = 0.850651 o...5/2o... | 5 * * * | 2 2 0 0 0 0 0 | 1 2 1 0 0 [4,5,4,5/2] .o..5/2.o.. | * 10 * * | 0 1 1 1 0 0 0 | 0 1 1 1 0 [4,5,6] ..o.5/2..o. | * * 10 * | 0 0 0 1 1 1 0 | 0 0 1 1 1 [4,5,6] ...o5/2...o | * * * 5 | 0 0 0 0 0 2 2 | 0 0 0 2 2 [4,6,4/3,6/5]/0 -----------------+-----------+------------------+---------- x... .... | 2 0 0 0 | 5 * * * * * * | 1 1 0 0 0 oo..5/2oo..&#x | 1 1 0 0 | * 10 * * * * * | 0 1 1 0 0 .x.. .... | 0 2 0 0 | * * 5 * * * * | 0 1 0 1 0 .oo.5/2.oo.&#x | 0 1 1 0 | * * * 10 * * * | 0 0 1 1 0 .... ..x. | 0 0 2 0 | * * * * 5 * * | 0 0 1 0 1 ..oo5/2..oo&#x | 0 0 1 1 | * * * * * 10 * | 0 0 0 1 1 ...x .... & | 0 0 0 2 | * * * * * * 5 | 0 0 0 1 1 -----------------+-----------+------------------+---------- x...5/2o... | 5 0 0 0 | 5 0 0 0 0 0 0 | 1 * * * * xx.. ....&#x | 2 2 0 0 | 1 2 1 0 0 0 0 | * 5 * * * .... ofx.&#xt | 1 2 2 0 | 0 2 0 2 1 0 0 | * * 5 * * .xux ....&#xt | 0 2 2 2 | 0 0 1 2 0 2 1 | * * * 5 * .... ..xx&#x | 0 0 2 2 | 0 0 0 0 1 2 1 | * * * * 5
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