Acronym | ditdid |
TOCID symbol | DE* |
Name |
ditrigonal dodecadodecahedron, vertex figure of dittady |
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Circumradius | sqrt(3)/2 = 0.866025 |
Vertex figure | [(5/3,5)3] |
General of army | doe |
Colonel of regiment | sidtid |
Dual | matai |
Dihedral angles |
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Face vector | 20, 60, 24 |
Confer |
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External links |
As abstract polytope ditdid is automorph, thereby interchanging the roles of pentagons and (retrograde) pentagrams. As such it could be seen to be a non-regular realization of the regular abstract polyhedron {5,6}4 (where the index just denotes the size of the corresponding Petrie polygon).
Ditdid also can be obtained as a blend of sidtid with gidtid, blending out the triangles.
This polyhedron is an edge-faceting of the small ditrigonal icosidodecahedron (sidtid).
Incidence matrix according to Dynkin symbol
x5/3o3o5*a . . . | 20 | 6 | 3 3 -----------+----+----+------ x . . | 2 | 60 | 1 1 -----------+----+----+------ x5/3o . | 5 | 5 | 12 * x . o5*a | 5 | 5 | * 12
o3/2o5/2x5*a . . . | 20 | 6 | 3 3 -------------+----+----+------ . . x | 2 | 60 | 1 1 -------------+----+----+------ . o5/2x | 5 | 5 | 12 * o . x5*a | 5 | 5 | * 12
o5/4x5/2o3*a . . . | 20 | 6 | 3 3 ----------+----+----+------ . x . | 2 | 60 | 1 1 ----------+----+----+------ o5/4x . | 5 | 5 | 12 * . x5/2o | 5 | 5 | * 12
x5/4o3/2o5/3*a . . . | 20 | 6 | 3 3 ---------------+----+----+------ x . . | 2 | 60 | 1 1 ---------------+----+----+------ x5/4o . | 5 | 5 | 12 * x . o5/3*a | 5 | 5 | * 12
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