Acronym | ... |
Name | 2sissid+4gike (?) |
Circumradius | sqrt[(5-sqrt(5))/8] = 0.587785 |
Vertex figure | 10[10/4,6/2,6/2] |
General of army | ike |
Colonel of regiment | sissid |
Confer |
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Looks like a compound of 2 small stellated dodecahedra (sissid) plus 4 great icosahedra (gike), and indeed vertices coincide by ten, edges coincide by six, {6/2} coincide by pairs.
Incidence matrix according to Dynkin symbol
x5/4x3/2x3/2*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 ---------------+-----+----------+--------- x5/4x . | 10 | 5 5 0 | 12 * * x . x3/2*a | 6 | 3 0 3 | * 20 * . x3/2x | 6 | 0 3 3 | * * 20
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