Pentagonal-pentagrammic concave duoantitegum

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Pentagonal-pentagrammic concave duoantitegum
Rank4
TypeUniform dual
SpaceSpherical
Info
Coxeter diagramp10o2p10/3o
SymmetryI2(10)×I2(10)/2, order 200
Elements
Vertex figure10 Pentagonal antitegums, 10 pentagrammic retroantitegums, 50 tetrahedra
Cells50 star-elongated digonal disphenoids
Faces50+50 isosceles triangles, 100 kites
Edges10+10+100+100
Vertices10+10+50
Measures (edge length 1)
Central density3
Euler characteristic0
Related polytopes
DualGreat duoantiprism
Properties
ConvexNo
OrientableYes
NatureTame

The pentagonal-pentagrammic concave duoantitegum, also known as the 5-5/3 duoantitegum, is a nonconvex isochoric polychoron with 50 star-elongated digonal disphenoids as cells.