Acronym | siidip |
Name | small-icosicosidodecahedron prism |
Circumradius | sqrt[(19+3 sqrt(5))/8] = 1.792631 |
Colonel of regiment | (is itself locally convex – other uniform polyhedral members: sidditdiddip & others) |
Dihedral angles | |
Face vector | 120, 300, 224, 54 |
Confer |
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External links |
As abstract polytope siidip is isomorphic to giidip, thereby replacing pentagrams by pentagons, resp. replacing siid by giid and stip by pip.
Incidence matrix according to Dynkin symbol
x x5/2o3x3*b . . . . | 120 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 -------------+-----+------------+----------------+----------- x . . . | 2 | 60 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 120 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 120 | 0 1 0 1 1 | 0 1 1 1 -------------+-----+------------+----------------+----------- x x . . | 4 | 2 2 0 | 60 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 60 * * * | 0 1 1 0 . x5/2o . | 5 | 0 5 0 | * * 24 * * | 1 0 0 1 . x . x3*b | 6 | 0 3 3 | * * * 40 * | 0 1 0 1 . . o3x | 3 | 0 0 3 | * * * * 40 | 0 0 1 1 -------------+-----+------------+----------------+----------- x x5/2o . ♦ 10 | 5 10 0 | 5 0 2 0 0 | 12 * * * x x . x3*b ♦ 12 | 6 6 6 | 3 3 0 2 0 | * 20 * * x . o3x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 20 * . x5/2o3x3*b ♦ 60 | 0 60 60 | 0 0 12 20 20 | * * * 2
x x5/3o3/2x3*b . . . . | 120 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ---------------+-----+------------+----------------+----------- x . . . | 2 | 60 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 120 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 120 | 0 1 0 1 1 | 0 1 1 1 ---------------+-----+------------+----------------+----------- x x . . | 4 | 2 2 0 | 60 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 60 * * * | 0 1 1 0 . x5/3o . | 5 | 0 5 0 | * * 24 * * | 1 0 0 1 . x . x3*b | 6 | 0 3 3 | * * * 40 * | 0 1 0 1 . . o3/2x | 3 | 0 0 3 | * * * * 40 | 0 0 1 1 ---------------+-----+------------+----------------+----------- x x5/3o . ♦ 10 | 5 10 0 | 5 0 2 0 0 | 12 * * * x x . x3*b ♦ 12 | 6 6 6 | 3 3 0 2 0 | * 20 * * x . o3/2x ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 20 * . x5/3o3/2x3*b ♦ 60 | 0 60 60 | 0 0 12 20 20 | * * * 2
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