Acronym | ... |
Name | ike+3gad (?) |
Circumradius | sqrt[(5+sqrt(5))/8] = 0.951057 |
Vertex figure | 5[3/2,10/2,5,10/2] |
General of army | ike |
Colonel of regiment | ike |
Confer |
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Looks like a compound of an icosahedron (ike) plus 3 great dodecahedra (gad), and indeed vertices coincide by five, edges coincide by four, {5} and {10/2} coincide.
Incidence matrix according to Dynkin symbol
o3/2x5/2x5*a . . . | 60 | 2 2 | 1 2 1 -------------+----+-------+--------- . x . | 2 | 60 * | 1 1 0 . . x | 2 | * 60 | 0 1 1 -------------+----+-------+--------- o3/2x . | 3 | 3 0 | 20 * * . x5/2x | 10 | 5 5 | * 12 * o . x5*a | 5 | 0 5 | * * 12
o5/4x5/2x3*a . . . | 60 | 2 2 | 1 2 1 -------------+----+-------+--------- . x . | 2 | 60 * | 1 1 0 . . x | 2 | * 60 | 0 1 1 -------------+----+-------+--------- o5/4x . | 5 | 5 0 | 12 * * . x5/2x | 10 | 5 5 | * 12 * o . x3*a | 3 | 0 3 | * * 20
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