Ambotruncatotetrahedral hecatonicosachoron

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Ambotruncatotetrahedral hecatonicosachoron
File:Ambotruncatotetrahedral hecatonicosachoron.png
Rank4
TypeIsogonal
Notation
Bowers style acronymMatehi
Elements
Cells120 truncated tetrahedra, 120 chiral rectified truncated tetrahedra
Faces480 triangles, 720 isosceles triangles, 480 ditrigons
Edges720+1440
Vertices720
Vertex figureMirror-symmetric triangular prism
Measures (edge length 1)
Central density1
Related polytopes
DualNotched heptacosicosachoron
Abstract & topological properties
Flag count25920
Euler characteristic0
OrientableYes
Properties
SymmetryA3●H3, order 1440
ConvexYes
NatureTame

The ambotruncatotetrahedral hecatonicosachoron or matehi is a convex isogonal polychoron that consists of 120 chiral rectified truncated tetrahedra and 120 truncated tetrahedra. 3 rectified truncated tetrahedra and 2 truncated tetrahedra join at each vertex. However, it cannot be made scaliform.

The ratio between the longest and shortest edges is 1: ≈ 1:1.61803.