Acronym | siid |
TOCID symbol | iID* |
Name | small icosicosidodecahedron |
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Circumradius | sqrt[(17+3 sqrt(5))/8] = 1.721489 |
Vertex figure | [5/2,6,3,6] |
Snub derivation |
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General of army | f3o5x |
Dihedral angles |
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Colonel of regiment | (is itself locally convex – other uniform polyhedral members: sidditdid siddy – other edge facetings) |
Face vector | 60, 120, 52 |
Confer |
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External links |
As abstract polytope siid is isomorphic to giid, thereby replacing pentagrams by pentagons and prograde triangles by retrograde ones.
Incidence matrix according to Dynkin symbol
x5/2o3x3*a . . . | 60 | 2 2 | 1 2 1 -----------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . . x | 2 | * 60 | 0 1 1 -----------+----+-------+--------- x5/2o . | 5 | 5 0 | 12 * * x . x3*a | 6 | 3 3 | * 20 * . o3x | 3 | 0 3 | * * 20
x3/2o5/3x3*a . . . | 60 | 2 2 | 1 2 1 -------------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . . x | 2 | * 60 | 0 1 1 -------------+----+-------+--------- x3/2o . | 3 | 3 0 | 20 * * x . x3*a | 6 | 3 3 | * 20 * . o5/3x | 5 | 0 5 | * * 12
β5o3x both( . . . ) | 60 | 2 2 | 1 1 2 --------------+----+-------+--------- both( . . x ) | 2 | 60 * | 0 1 1 sefa( β5o . ) | 2 | * 60 | 1 0 1 --------------+----+-------+--------- β5o . ♦ 5 | 0 5 | 12 * * both( . o3x ) | 3 | 3 0 | * 20 * sefa( β5o3x ) | 6 | 3 3 | * * 20 starting figure: x5o3x
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