| Acronym | ... |
| Name | 2sissid+gike (?) |
| Circumradius | sqrt[(5-sqrt(5))/8] = 0.587785 |
| Vertex figure | 5[10/4,10/4,3] |
| General of army | ike |
| Colonel of regiment | sissid |
| Confer |
|
Looks like a compound of 2 small stellated dodecahedra (sissid) plus a great icosahedron (gike), and indeed vertices coincide by five, edges coincide by three.
Incidence matrix according to Dynkin symbol
x5/4x3o . . . | 60 | 1 2 | 2 1 --------+----+-------+------ x . . | 2 | 30 * | 2 0 . x . | 2 | * 60 | 1 1 --------+----+-------+------ x5/4x . | 10 | 5 5 | 12 * . x3o | 3 | 0 3 | * 20
x5/4x3/2o . . . | 60 | 1 2 | 2 1 ----------+----+-------+------ x . . | 2 | 30 * | 2 0 . x . | 2 | * 60 | 1 1 ----------+----+-------+------ x5/4x . | 10 | 5 5 | 12 * . x3/2o | 3 | 0 3 | * 20
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