Dodecakis hecatonicosachoric tegum

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Dodecakis hecatonicosachoric tegum
Rank5
TypeUniform dual
Notation
Coxeter diagramm2o5o3m3m ()
Elements
Tera2880 pentagonal pyramidal pyramids
Cells7200 sphenoids, 1440+1440 pentagonal pyramids
Faces2400+3600 isosceles triangles, 4800 scalene triangles, 720 pentagons
Edges240+1200+1200+2400
Vertices2+120+600
Vertex figure2 dodecakis hecatonicosachora, 120 dodecahedral tegums, 600 triakis tetrahedral tegums
Measures (edge length 1)
Central density1
Related polytopes
DualTruncated hexacosichoric prism
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryH4×A1, order 28800
ConvexYes
NatureTame

The dodecakis hecatonicosachoric tegum, also known as the dodecakis hecatonicosachoric bipyramid, is a convex isoteric polyteron with 2880 identical pentagonal pyramidal pyramids as tera. As the name suggests, it can be constructed as a tegum based on the dodecakis hecatonicosachoron.