| Acronym | ... |
| Name | 2gid (?) |
| Circumradius | (sqrt(5)-1)/2 = 0.618034 |
| Vertex figure |
2[(10/4,3)2] (type A) or 2[(5/2,6/2)2] (type B) |
| General of army | id |
| Colonel of regiment | gid |
| Confer |
|
Looks like a compound of 2 great icosidodecahedra (gid), and indeed vertices, edges, and either {3} (type A) or {5/2} (type B) all coincide by pairs.
Incidence matrix according to Dynkin symbol
x5/4x3o3*a (type A) . . . | 60 | 2 2 | 2 1 1 -----------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . x . | 2 | * 60 | 1 0 1 -----------+----+-------+--------- x5/4x . | 10 | 5 5 | 12 * * x . o3*a | 3 | 3 0 | * 20 * . x3o | 3 | 0 3 | * * 20
x3/2x5/2o5/2*a (type B) . . . | 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 * . x5/2o | 5 | 0 5 | * * 12
x3/2x5/3o5/3*a (type B) . . . | 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 . o5/3*a | 5 | 5 0 | * 12 * . x5/3o | 5 | 0 5 | * * 12
x5/4x3/2o3/2*a (type A) . . . | 60 | 2 2 | 2 1 1 ---------------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . x . | 2 | * 60 | 1 0 1 ---------------+----+-------+--------- x5/4x . | 10 | 5 5 | 12 * * x . o3/2*a | 3 | 3 0 | * 20 * . x3/2o | 3 | 0 3 | * * 20
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