Acronym | radiddip (old: radedip) |
Name | rhombidodecadodecahedron prism |
Circumradius | sqrt(2) = 1.414214 |
Colonel of regiment | (is itself locally convex – other uniform polyhedral members: ididdip & others) |
Dihedral angles | |
Face vector | 120, 300, 228, 56 |
Confer |
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External links |
As abstract polytope radiddip is automorph, thereby interchanging the roles of pentagons and pentagrams, resp. those of pip and stip.
Incidence matrix according to Dynkin symbol
x x5/2o5x . . . . | 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 . x | 4 | 0 2 2 | * * * 60 * | 0 1 0 1 . . o5x | 5 | 0 0 5 | * * * * 24 | 0 0 1 1 ----------+-----+------------+----------------+----------- x x5/2o . ♦ 10 | 5 10 0 | 5 0 2 0 0 | 12 * * * x x . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 30 * * x . o5x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 12 * . x5/2o5x ♦ 60 | 0 60 60 | 0 0 12 30 12 | * * * 2 snubbed forms: β2x5/2o5β
x x5/3o5/4x . . . . | 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 . x | 4 | 0 2 2 | * * * 60 * | 0 1 0 1 . . o5/4x | 5 | 0 0 5 | * * * * 24 | 0 0 1 1 ------------+-----+------------+----------------+----------- x x5/3o . ♦ 10 | 5 10 0 | 5 0 2 0 0 | 12 * * * x x . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 30 * * x . o5/4x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 12 * . x5/3o5/4x ♦ 60 | 0 60 60 | 0 0 12 30 12 | * * * 2
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