Biheptagonal duotransitionalterprism

From Polytope Wiki
Jump to navigation Jump to search
Biheptagonal duotransitionalterprism
File:Biheptagonal duotransitionalterprism.png
Rank4
TypeIsogonal
Elements
Cells49 rectangular trapezoprisms, 14 diheptagonal prisms, 14 orthoaligned truncated heptagonal prisms
Faces196 isosceles trapezoids, 98+98 rectangles, 49 ditetragons, 28 diheptagons
Edges196+196+196+196
Vertices392
Vertex figureIrregular tetrahedron
Measures (edge length 1)
Central density1
Related polytopes
DualBiheptagonal duotransitionaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(7)≀S2, order 392
ConvexYes
NatureTame

The biheptagonal duotransitionalterprism is a convex isogonal polychoron and the sixth member of the bipolygonal duotransitionalterprism family. It consists of 14 orthoaligned truncated heptagonal prisms, 14 diheptagonal prisms, and 49 rectangular trapezoprisms. 2 orthoaligned truncated heptagonal prisms, 1 diheptagonal prism, and 1 rectangular trapezoprism join at each vertex. It can be obtained as the convex hull of two orthogonal diheptagonal-diheptagonal duoprisms. However, it cannot be made scaliform.

This polychoron can be alternated into a snub heptagonal duotransitionalterprism, which is also not scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.27416.