| Acronym | ... |
| Name | 2gad+ike (?) |
| Circumradius | sqrt[(5+sqrt(5))/8] = 0.951057 |
| Vertex figure | 5[3,10/2,10/2] |
| General of army | ike |
| Colonel of regiment | ike |
| Confer |
|
Looks like a compound of 2 great dodecahedra (gad) plus an icosahedron (ike), and indeed vertices coincide by five, edges coincide by three.
Incidence matrix according to Dynkin symbol
x5/2x3o . . . | 60 | 1 2 | 2 1 --------+----+-------+------ x . . | 2 | 30 * | 2 0 . x . | 2 | * 60 | 1 1 --------+----+-------+------ x5/2x . | 10 | 5 5 | 12 * . x3o | 3 | 0 3 | * 20
o3/2x5/2x . . . | 60 | 2 1 | 1 2 ----------+----+-------+------ . x . | 2 | 60 * | 1 1 . . x | 2 | * 30 | 0 2 ----------+----+-------+------ o3/2x . | 3 | 3 0 | 20 * . x5/2x | 10 | 5 5 | * 12
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