Acronym | sicdatrid |
Name | small complex (ditrigonary) rhombicosidodecahedron |
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Circumradius | sqrt(3)/2 = 0.866025 |
Vertex figure | 3[5/2,4,3,4] |
General of army | doe |
Colonel of regiment | sidtid |
Face vector | 60, 120, 62 |
Confer |
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External links |
As abstract polytope sicdatrid is isomorphic to gicdatrid, thereby replacing pentagrams by pentagons.
Looks like a compound of a small ditrigonal icosidodecahedron (sidtid) plus a rhombihedron (rhom, the compound of 5 cubes), and indeed vertices coincide by three, edges coincide by pairs.
Incidence matrix according to Dynkin symbol
x5/2o3x . . . | 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 . x | 4 | 2 2 | * 30 * . o3x | 3 | 0 3 | * * 20
x3/2o5/3x . . . | 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 . x | 4 | 2 2 | * 30 * . o5/3x | 5 | 0 5 | * * 12
as uniform compound (type A) 20 | 6 6 | 3 6 3 || 1 2 -----+-------+----------++---- 2 | 60 * | 1 0 1 || 1 0 2 | * 60 | 0 2 0 || 0 1 -----+-------+----------++---- 3 | 3 0 | 20 * * || 1 0 4 | 0 4 | * 30 * || 0 1 5 | 5 0 | * * 12 || 1 0 -----+-------+----------++---- ♦ 20 | 60 0 | 20 0 12 || 1 * ♦ 8 | 0 12 | 0 6 0 || * 5
as uniform compound (type B) 20 | 6 6 | 3 6 3 || 1 1 -----+-------+----------++---- 2 | 60 * | 1 0 1 || 1 0 2 | * 60 | 0 2 0 || 0 1 -----+-------+----------++---- 3 | 3 0 | 20 * * || 1 0 4 | 0 4 | * 30 * || 0 1 5 | 5 0 | * * 12 || 1 0 -----+-------+----------++---- ♦ 20 | 60 0 | 20 0 12 || 1 * ♦ 20 | 0 60 | 0 30 0 || * 1
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