Acronym | ... |
Name | 2ike+4gad (?) |
Circumradius | sqrt[(5+sqrt(5))/8] = 0.951057 |
Vertex figure | 10[6/2,10/2,10/2] |
General of army | ike |
Colonel of regiment | ike |
Confer |
Looks like a compound of 2 icosahedra (ike) plus 4 great dodecahedra (gad), and indeed vertices coincide by ten, edges coincide by six, {10/2} coincide by pairs.
Incidence matrix according to Dynkin symbol
x3/2x5/2x5/2*a . . . | 120 | 1 1 1 | 1 1 1 ---------------+-----+----------+--------- x . . | 2 | 60 * * | 1 1 0 . x . | 2 | * 60 * | 1 0 1 . . x | 2 | * * 60 | 0 1 1 ---------------+-----+----------+--------- x3/2x . | 6 | 3 3 0 | 20 * * x . x5/2*a | 10 | 5 0 5 | * 12 * . x5/2x | 10 | 0 5 5 | * * 12
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