Acronym | ... |
Name | 4ike+2gad (?) |
Circumradius | sqrt[(5+sqrt(5))/8] = 0.951057 |
Vertex figure |
10[6/2,6/2,10/2] (type A) or 5[3,3,3,5/4,3,5/4] (type B) |
General of army | ike |
Colonel of regiment | ike |
Confer |
Looks like a compound of 4 icosahedra (ike) plus 2 great dodecahedra (gad), and indeed vertices coincide by ten, edges coincide by six, {6/2} coincide by pairs (type A) resp. vertices coincide by five, edges by six, {3] by four and {5} by pairs.
Incidence matrix according to Dynkin symbol
x3/2x3/2x5/2*a (type A) . . . | 120 | 1 1 1 | 1 1 1 ---------------+-----+----------+--------- x . . | 2 | 60 * * | 1 1 0 . x . | 2 | * 60 * | 1 0 1 . . x | 2 | * * 60 | 0 1 1 ---------------+-----+----------+--------- x3/2x . | 6 | 3 3 0 | 20 * * x . x5/2*a | 10 | 5 0 5 | * 12 * . x3/2x | 6 | 0 3 3 | * * 20 snubbed forms: s3/2s3/2s5/2*a
s3/2s5/4s5/4*a (type B) demi( . . . ) | 60 | 2 2 2 | 1 1 1 3 -----------------------+----+----------+------------ sefa( s3/2s . ) | 2 | 60 * * | 1 0 0 1 sefa( s . s5/4*a ) | 2 | * 60 * | 0 1 0 1 sefa( . s5/4s ) | 2 | * * 60 | 0 0 1 1 -----------------------+----+----------+------------ s3/2s . | 3 | 3 0 0 | 20 * * * s . s5/4*a | 5 | 0 5 0 | * 12 * * . s5/4s | 5 | 0 0 5 | * * 12 * sefa( s3/2s5/4s5/4*a ) | 3 | 1 1 1 | * * * 60 starting figure: x3/2x5/4x5/4*a
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