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Great duoantiprism information


Great duoantiprism
Type Uniform polychoron
Schläfli symbols s{5}s{5/3}
{5}⊗{5/3}
h{10}s{5/3}
s{5}h{10/3}
h{10}h{10/3}
Coxeter diagrams


Cells 50 tetrahedra
10 pentagonal antiprisms
10 pentagrammic crossed-antiprisms
Faces 200 triangles
10 pentagons
10 pentagrams
Edges 200
Vertices 50
Vertex figure
star-gyrobifastigium
Symmetry group [5,2,5]+, order 50
[(5,2)+,10], order 100
[10,2+,10], order 200
Properties Vertex-uniform

Net (overlapping in space)

In geometry, the great duoantiprism is the only uniform star-duoantiprism solution p = 5, q = 5/3, in 4-dimensional geometry. It has Schläfli symbol {5}⊗{5/3}, s{5}s{5/3} or ht0,1,2,3{5,2,5/3}, Coxeter diagram , constructed from 10 pentagonal antiprisms, 10 pentagrammic crossed-antiprisms, and 50 tetrahedra.

Its vertices are a subset of those of the small stellated 120-cell.

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Great duoantiprism

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In geometry, the great duoantiprism is the only uniform star-duoantiprism solution p = 5, q = 5/3, in 4-dimensional geometry. It has Schläfli symbol {5}⊗{5/3}...

Word Count : 235

Duoprism

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only convex uniform duoantiprism. The duoprisms , t0,1,2,3{p,2,q}, can be alternated into , ht0,1,2,3{p,2,q}, the "duoantiprisms", which cannot be made...

Word Count : 1267

Gyrobifastigium

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represents a uniform great duoantiprism. Its dual, the elongated tetragonal disphenoid, can be found as cells of the duals of the p-q duoantiprisms. A Johnson solid...

Word Count : 807

5

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of the vertices of the small stellated 120-cell are matched by the great duoantiprism star, which is the only uniform nonconvex duoantiprismatic solution...

Word Count : 13348
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