Acronym | ... |
Name | 3doe (?) |
Circumradius | sqrt[(9+3 sqrt(5))/8] = 1.401259 |
Vertex figure | 3[5,10/2,10/2] |
General of army | doe |
Colonel of regiment | doe |
Confer |
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Looks like a compound of 3 dodecahedra (doe), and indeed vertices and edges both coincide by three, {5} and {10/2} coincide as well.
Incidence matrix according to Dynkin symbol
x5/2x5o . . . | 60 | 1 2 | 2 1 --------+----+-------+------ x . . | 2 | 30 * | 2 0 . x . | 2 | * 60 | 1 1 --------+----+-------+------ x5/2x . | 10 | 5 5 | 12 * . x5o | 5 | 0 5 | * 12 snubbed forms: β5/2x5o, x5/2β5o, β5/2β5o
o5/4x5/2x . . . | 60 | 2 1 | 1 2 ----------+----+-------+------ . x . | 2 | 60 * | 1 1 . . x | 2 | * 30 | 0 2 ----------+----+-------+------ o5/4x . | 5 | 5 0 | 12 * . x5/2x | 10 | 5 5 | * 12
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