Disphenoidal enneacontahexachoric tegum

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Disphenoidal enneacontahexachoric tegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm2o4m3m3o
Elements
Tera192 digonal disphenoidal pyramids
Cells96 digonal disphenoids, 192+192 sphenoids
Faces48+64+96+96 isosceles triangles, 128 scalene triangles
Edges16+24+32+32+64
Vertices2+8+16
Vertex figure2 disphenoidal enneacontahexachora, 8 tetrakis hexahedral tegums, 8 triakis tetrahedral tegums
Measures (edge length 1)
Central density1
Related polytopes
DualTesseractihexadecachoric prism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryBC4×A1, order 768
ConvexYes
NatureTame

The disphenoidal enneacontahexachoric tegum, also called the disphenoidal enneacontahexachoric bipyramid, is a convex isoteric polyteron with 192 identical digonal disphenoidal pyramids as tera. As the name suggests, it can be constructed as a tegum based on the disphenoidal enneacontahexachoron.