| Acronym | ... |
| Name | 2gike+sissid (?) |
| Circumradius | sqrt[(5-sqrt(5))/8] = 0.587785 |
| Vertex figure | 5[5/2,6/2,6/2] |
| General of army | ike |
| Colonel of regiment | sissid |
| Confer |
|
Looks like a compound of 2 great icosahedra (gike) plus a small stellated dodecahedron (sissid), and indeed vertices coincide by five, edges coincide by three.
Incidence matrix according to Dynkin symbol
x3/2x5/2o . . . | 60 | 1 2 | 2 1 ----------+----+-------+------ x . . | 2 | 30 * | 2 0 . x . | 2 | * 60 | 1 1 ----------+----+-------+------ x3/2x . | 6 | 3 3 | 20 * . x5/2o | 5 | 0 5 | * 12
x3/2x5/3o . . . | 60 | 1 2 | 2 1 ----------+----+-------+------ x . . | 2 | 30 * | 2 0 . x . | 2 | * 60 | 1 1 ----------+----+-------+------ x3/2x . | 6 | 3 3 | 20 * . x5/3o | 5 | 0 5 | * 12
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