Hexagonal double antitegmoid

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Hexagonal double antitegmoid
Rank4
TypeIsotopic
Elements
Cells144 order-5 truncated bi-apiculated tetrahedra
Faces288 kites, 144 isosceles trapezoids, 288 mirror-symmetric pentagons
Edges24+144+288+576
Vertices24+144+288
Vertex figure288 sphenoids, 144 tetragonal disphenoids, 24 hexagonal antitegums
Measures (edge length 1)
Central density1
Related polytopes
DualHexagonal double antiprismoid
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)+≀S2×2, order 576
ConvexYes
NatureTame

The hexagonal double antitegmoid is a convex isochoric polychoron and member of the double antitegmoid family with 144 order-5 truncated bi-apiculated tetrahedra as cells. It is the first in an infinite family of isochoric hexagonal antitegmatic swirlchora.

Each cell of this polychoron has rectangular pyramidal symmetry, with 4 mirror-symmetric pentagons, 2 isosceles trapezoids, and 4 kites for faces.