Truncated heptagonal duoprism

From Polytope Wiki
Jump to navigation Jump to search
Truncated heptagonal duoprism
Rank4
TypeIsogonal
Notation
Bowers style acronymTahedip
Elements
Cells49 tetragonal disphenoids, 14 truncated heptagonal prisms
Faces196 isosceles triangles, 49 ditetragons, 14 diheptagons
Edges98+98+196
Vertices196
Vertex figureSphenoid
Measures (variant with tetradecagon edge length 1)
Edge lengthsLacing edges (196):
 Edges of tetradecagons (98+98): 1
Circumradius
Central density1
Related polytopes
ArmyTahedip
RegimentTahedip
DualTetrakis heptagonal duotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(7)≀S2, order 392
ConvexYes
NatureTame

The truncated heptagonal duoprism or tahedip is a convex isogonal polychoron that consists of 14 truncated heptagonal prisms and 49 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated heptagonal prisms join at each vertex. It can be formed by truncating the heptagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform heptagonal-tetradecagonal duoprisms chosen such that the tetradecagonal and heptagonal prisms have the same circumradius. if the tetradecagons of this duoprism have edge length 1, the heptagons have edge length .

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.27416.