Deltopyramidal pentacosiheptacontahexachoric tegum

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Deltopyramidal pentacosiheptacontahexachoric tegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm2m3m4o3m
Elements
Tera1152 kite pyramidal pyramids
Cells1152+1152 irregular tetrahedra, 576+576 kite pyramids
Faces288+384+384+576+576+576+576 scalene triangles, 288 kites
Edges48+48+144+192+192+192+192+288+288
Vertices2+24+24+96+96
Vertex figure2 deltopyramidal pentacosiheptacontahexachora, 24 deltoidal icositetrahedral tegums, 24 tetrakis hexahedral tegums, 96 square-hexagonal duotegums, 96 triangular-square duotegums
Measures (edge length 1)
Central density1
Related polytopes
DualPrismatorhombated icositetrachoric prism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryF4×A1, order 2304
ConvexYes
NatureTame

The deltopyramidal pentacosiheptacontahexachoric tegum, also called the deltopyramidal pentacosiheptacontahexachoric bipyramid, is a convex isoteric polyteron with 1152 identical kite pyramidal pyramids as tera. As the name suggests, it can be constructed as a tegum based on the deltopyramidal pentacosiheptacontahexachoron.