Great sphenoidal-pyramidal chiliaenneacosiicosateron

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Great sphenoidal-pyramidal chiliaenneacosiicosateron
Rank5
TypeUniform dual
Notation
Coxeter diagramm4m3m3m3o
Elements
Tera1920 sphenoidal pyramids
Cells960+960+960 sphenoids, 1920 irregular tetrahedra
Faces240+320+480 isosceles triangles, 640+640+960+960 scalene triangles
Edges40+160+160+240+320+320+320
Vertices10+32+80+80
Vertex figure10 tetrahedral triacosioctacontatetrachora, 32 sphenoidal hexecontachora, 80 triakis tetrahedral tegums, 80 triangular-octagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualGreat prismated penteract
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryBC5, order 3840
ConvexYes
NatureTame

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