Small sphenoidal-pyramidal chilliaenneacosicosateron

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Small sphenoidal-pyramidal chilliaenneacosicosateron
Rank5
TypeUniform dual
Notation
Coxeter diagramo4m3m3m3m
Elements
Tera1920 sphenoidal pyramids
Cells960+960+960 sphenoids, 1920 irregular tetrahedra
Faces320+320+480 isosceles triangles, 480+640+960+960 scalene triangles
Edges80+80+160+240+240+320+320
Vertices10+32+40+80
Vertex figure10 octakis icositetrachora, 32 disphenoidal hecatonicosachora, 40 tetrakis hexahedral tegums, 80 square-hexagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualGreat prismated triacontaditeron
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryBC5, order 3840
ConvexYes
NatureTame

The small sphenoidal-pyramidal chilliaenneacosicosateron is a convex isoteric polyteron with 1920 identical sphenoidal pyramids as tera. It can be obtained as thedual of the great prismated triacontaditeron.