Great duoantiprism

Great duoantiprism
TypeUniform polychoron
Schläfli symbolss{5}s{5/3}
{5}⊗{5/3}
h{10}s{5/3}
s{5}h{10/3}
h{10}h{10/3}
Coxeter diagrams


Cells50 (3.3.3)
10 (3.3.3.5)
10 (3.3.3.5/3)
Faces200 {3}
10 {5}
10 {5/2}
Edges200
Vertices50
Vertex figure
star-gyrobifastigium
Symmetry group[5,2,5]+, order 50
[(5,2)+,10], order 100
[10,2+,10], order 200
PropertiesVertex-uniform

Net (overlapping in space)

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.

Images


stereographic projection, centered on one pentagrammic crossed-antiprism

Orthogonal projection, with vertices colored by overlaps, red, orange, yellow, green have 1, 2, 3,4 multiplicity.

Other names

References

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