Disphenoidal hecatonicosachoric tegum

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Disphenoidal hecatonicosachoric tegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm2m3m3m3m ()
Elements
Tera240 phyllic disphenoidal pyramids
Cells120 phyllic disphenoids, 240+240 irregular tetrahedra
Faces40+60 isosceles triangles, 80+120+120+120 scalene triangles
Edges20+20+30+40+40+60
Vertices2+10+20
Vertex figure2 disphenoidal hecatonicosachora, 10 tetrakis hexahedral tegums, 20 square-hexagonal duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualGreat prismatodecachoric prism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryA4×2×A1, order 480
ConvexYes
NatureTame

The disphenoidal hecatonicosachoric tegum, also called the disphenoidal hecatonicosachoric bipyramid, is a convex isotopic polyteron with 240 identical phyllic disphenoidal pyramids as facets. As the name suggests, it can be constructed as a tegum based on the disphenoidal hecatonicosachoron.