Acronym | raded adoe |
Name | rhombidodecadodecahedron atop dodecahedron |
© | |
Circumradius | sqrt[(25+9 sqrt(5))/22] = 1.432173 |
Face vector | 80, 240, 126, 56 |
Confer |
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This non-convex segmentochoron can be obtained as a reduction of ox5xo5/2xx&#x, i.e. when the base o5x5/2x (3doe) becomes reduced to a single cover only.
Incidence matrix according to Dynkin symbol
reduced( ox5xo5/2xx&#x by x5/2x ) → height = sqrt[(3 sqrt(5)-1)/8] = 0.844704
(doe || raded)
20 * | 3 6 0 0 | 3 6 6 3 0 0 0 | 1 3 3 3 0
* 60 | 0 2 2 2 | 0 2 1 2 1 2 1 | 0 1 2 1 1
------+--------------+----------------------+-------------
2 0 | 30 * * * | 2 2 2 0 0 0 0 | 1 2 1 2 0
1 1 | * 120 * * | 0 1 1 1 0 0 0 | 0 1 1 1 0
0 2 | * * 60 * | 0 0 0 1 1 1 0 | 0 1 1 0 1
0 2 | * * * 60 | 0 1 0 0 0 1 1 | 0 0 1 1 1
------+--------------+----------------------+-------------
5 0 | 5 0 0 0 | 12 * * * * * * | 1 1 0 0 0
2 2 | 1 2 0 1 | * 60 * * * * * | 0 0 1 1 0
2 1 | 1 2 0 0 | * * 60 * * * * | 0 1 0 1 0
1 2 | 0 2 1 0 | * * * 60 * * * | 0 1 1 0 0
0 5 | 0 0 5 0 | * * * * 12 * * | 0 1 0 0 1 {5}
0 4 | 0 0 2 2 | * * * * * 30 * | 0 0 1 0 1
0 5 | 0 0 0 5 | * * * * * * 12 | 0 0 0 1 1 {5/2}
------+--------------+----------------------+-------------
20 0 | 30 0 0 0 | 12 0 0 0 0 0 0 | 1 * * * * doe
5 5 | 5 10 5 0 | 1 0 5 5 1 0 0 | * 12 * * * pap
2 4 | 1 4 2 2 | 0 2 0 2 0 1 0 | * * 30 * * trip
5 5 | 5 10 0 5 | 0 5 5 0 0 0 1 | * * * 12 * stiscu
0 60 | 0 0 60 60 | 0 0 0 0 12 30 12 | * * * * 1 raded
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