Acronym | did |
TOCID symbol | ED* |
Name |
dodecadodecahedron, great dodecadodecahedron |
© © | |
Circumradius | 1 |
Vertex figure | [(5/2,5)2] |
General of army | id |
Colonel of regiment | (is itself locally convex – other uniform polyhedral members: gidhei sidhei – other edge facetings) |
Dual | mort |
Dihedral angles |
|
Face vector | 30, 60, 24 |
Confer |
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External links |
As abstract polytope did is automorph, thereby interchanging the roles of pentagons and pentagrams. As such it could be seen to be a non-regular realization of the regular abstract polyhedron {5,4}6 (where the index just denotes the size of the corresponding Petrie polygon), an according mod-wrap of peat.
Note that did can be thought of as the external blend of 12 peppies + 12 stappies. This decomposition is described as the degenerate segmentochoron oo5ox5/2oo&#x.
Incidence matrix according to Dynkin symbol
o5/2x5o . . . | 30 | 4 | 2 2 --------+----+----+------ . x . | 2 | 60 | 1 1 --------+----+----+------ o5/2x . | 5 | 5 | 12 * . x5o | 5 | 5 | * 12 snubbed forms: o5/2β5o
o5/3x5o . . . | 30 | 4 | 2 2 --------+----+----+------ . x . | 2 | 60 | 1 1 --------+----+----+------ o5/3x . | 5 | 5 | 12 * . x5o | 5 | 5 | * 12
o5/4x5/2o . . . | 30 | 4 | 2 2 ----------+----+----+------ . x . | 2 | 60 | 1 1 ----------+----+----+------ o5/4x . | 5 | 5 | 12 * . x5/2o | 5 | 5 | * 12
o5/4x5/3o . . . | 30 | 4 | 2 2 ----------+----+----+------ . x . | 2 | 60 | 1 1 ----------+----+----+------ o5/4x . | 5 | 5 | 12 * . x5/3o | 5 | 5 | * 12
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