Great duoantiprism

In geometry, the great duoantiprism is the only uniform star-duoantiprism solution $p = 5,$ $q = .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num{display:block;line-height:1em;margin:0.0em 0.1em;border-bottom:1px solid}.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0.1em 0.1em}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}5/3,$ in 4-dimensional geometry. It has Schläfli symbol ${5}\otimes{5/3},$ $s{5}s{5/3}$ or $ht 0,1,2,3 {5,2,5/3},$ Coxeter diagram , constructed from 10 pentagonal antiprisms, 10 pentagrammic crossed-antiprisms, and 50 tetrahedra.

Great duoantiprism
Type	Uniform polychoron
Schläfli symbols	$s{5}s{5/3} {5}\otimes{5/3} h{10}s{5/3} s{5}h{10/3} h{10}h{10/3}$
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)

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

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