Acronym | ... |
Name | sissid+3gike (?) |
Circumradius | sqrt[(5-sqrt(5))/8] = 0.587785 |
Vertex figure | 5[5/3,6/2,3,6/2] |
General of army | ike |
Colonel of regiment | sissid |
Confer |
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Looks like a compound of a small stellated dodecahedron (sissid) plus 3 great dodecahedra (gike), and indeed vertices coincide by five, edges coincide by four, {3} and {6/2} coincide.
Incidence matrix according to Dynkin symbol
x3/2x5/3o3*a . . . | 60 | 2 2 | 2 1 1 -------------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . x . | 2 | * 60 | 1 0 1 -------------+----+-------+--------- x3/2x . | 6 | 3 3 | 20 * * x . o3*a | 3 | 3 0 | * 20 * . x5/3o | 5 | 0 5 | * * 12
x3/2x3/2o5/2*a . . . | 60 | 2 2 | 2 1 1 ---------------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . x . | 2 | * 60 | 1 0 1 ---------------+----+-------+--------- x3/2x . | 6 | 3 3 | 20 * * x . o5/2*a | 5 | 5 0 | * 12 * . x3/2o | 3 | 0 3 | * * 20
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