Acronym | raded |
TOCID symbol | rED* |
Name | rhombidodecadodecahedron |
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Circumradius | sqrt(7)/2 = 1.322876 |
Vertex figure | [5/2,4,5,4] |
General of army | x3f5o |
Colonel of regiment | (is itself locally convex – other uniform polyhedral members: ided ri – other edge facetings) |
Dihedral angles |
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Face vector | 60, 120, 54 |
Confer |
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External links |
As abstract polytope raded is automorph, thereby interchanging the roles of pentagons and pentagrams.
The intersection kernel of this polyhedron is the icosahedrally truncated rhombic triacontahedron.
Incidence matrix according to Dynkin symbol
x5/2o5x . . . | 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 * . o5x | 5 | 0 5 | * * 12 snubbed forms: β5/2o5x, x5/2o5β, β5/2o5β
x5/4o5/3x . . . | 60 | 2 2 | 1 2 1 ----------+----+-------+--------- x . . | 2 | 60 * | 1 1 0 . . x | 2 | * 60 | 0 1 1 ----------+----+-------+--------- x5/4o . | 5 | 5 0 | 12 * * x . x | 4 | 2 2 | * 30 * . o5/3x | 5 | 0 5 | * * 12
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