Acronym | ... |
Name | 2id+40{3} (?) |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
Vertex figure | 2[3/2,3,5,3,5,3] |
Snub derivation |
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General of army | id |
Colonel of regiment | id |
Confer |
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Looks like a compound of 2 icosidodecahedra (id) plus 20 pairs of coincident {3}. And indeed vertices and {5} coincide by pairs, edges coincide by 3, and each {3/2} coincides with 3 {3}.
Incidence matrix according to Dynkin symbol
β5β3o both( . . . ) | 60 | 2 2 2 | 1 1 1 3 -----------------+----+----------+------------ sefa( s5s . (r)) | 2 | 60 * * | 1 0 0 1 sefa( s5s . (l)) | 2 | * 60 * | 0 1 0 1 sefa( . β3o ) | 2 | * * 60 | 0 0 1 1 -----------------+----+----------+------------ s5s . (r) ♦ 5 | 5 0 0 | 12 * * * s5s . (l) ♦ 5 | 0 5 0 | * 12 * * . β3o ♦ 3 | 0 0 3 | * * 20 * sefa( β5β3o ) | 3 | 1 1 1 | * * * 60
or both( . . . ) | 60 | 4 2 | 2 1 3 --------------+----+--------+--------- sefa( s5s . ) | 2 | 120 * | 1 0 1 sefa( . β3o ) | 2 | * 60 | 0 1 1 --------------+----+--------+--------- both( s5s . ) ♦ 5 | 5 0 | 24 * * . β3o ♦ 3 | 0 3 | * 20 * sefa( β5β3o ) | 3 | 2 1 | * * 60 starting figure: x5x3o
s3/2s5s5*a demi( . . . ) | 60 | 2 2 2 | 1 1 1 3 -------------------+----+----------+------------ sefa( s3/2s . ) | 2 | 60 * * | 1 0 0 1 sefa( s . s5*a ) | 2 | * 60 * | 0 1 0 1 sefa( . s5s ) | 2 | * * 60 | 0 0 1 1 -------------------+----+----------+------------ s3/2s . ♦ 3 | 3 0 0 | 20 * * * s . s5*a | 5 | 0 5 0 | * 12 * * . s5s | 5 | 0 0 5 | * * 12 * sefa( s3/2s5s5*a ) | 3 | 1 1 1 | * * * 60 starting figure: x3/2x5x5*a
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