Heptagonal antiditetragoltriate

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Heptagonal antiditetragoltriate
Rank4
TypeIsogonal
Notation
Bowers style acronymHeadet
Elements
Cells49+49 tetragonal disphenoids, 98 rectangular pyramids, 14 heptagonal prisms
Faces196+196 isosceles triangles, 98 rectangles, 14 heptagons
Edges98+98+196
Vertices98
Vertex figureBiaugmented triangular prism
Measures (based on same duoprisms as otimized heptagonal ditetragoltriate)
Edge lengthsEdges of smaller heptagon (98): 1
 Lacing edges (196):
 Edges of larger heptagon (98):
Circumradius
Central density1
Related polytopes
ArmyHeadet
RegimentHeadet
DualHeptagonal antitetrambitriate
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(7)≀S2, order 392
ConvexYes
NatureTame

The heptagonal antiditetragoltriate or headet is a convex isogonal polychoron and the fifth member of the antiditetragoltriate family. It consists of 14 heptagonal prisms, 98 rectangular pyramids, and 98 tetragonal disphenoids of two kinds. 2 heptagonal prisms, 4 tetragonal disphenoids, and 5 rectangular pyramids join at each vertex. However, it cannot be made scaliform.

It can be formed as the convex hull of 2 oppositely oriented semi-uniform heptagonal duoprisms where the larger heptagon is more than times the edge length of the smaller one.