# Truncated hexagonal duoprism

Truncated hexagonal duoprism Rank4
TypeIsogonal
Notation
Bowers style acronymTahiddip
Elements
Cells36 tetragonal disphenoids, 12 truncated hexagonal prisms
Faces144 isosceles triangles, 36 ditetragons, 12 dihexagons
Edges72+72+144
Vertices144
Vertex figureSphenoid
Measures (variant with dodecagon edge length 1)
Edge lengthsLacing edges (144): ${\frac {\sqrt {6}}{3}}\approx 0.81650$ Edges of dodecagons (72+72): 1
Circumradius${\sqrt {\frac {13+7{\sqrt {3}}}{3}}}\approx 2.89392$ Central density1
Related polytopes
ArmyTahiddip
RegimentTahiddip
DualTetrakis hexagonal duotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryG2≀S2, order 288
ConvexYes
NatureTame

The truncated hexagonal duoprism or tahiddip is a convex isogonal polychoron that consists of 12 truncated hexagonal prisms and 36 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated hexagonal prisms join at each vertex. It can be formed by truncating the hexagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform hexagonal-dodecagonal duoprisms chosen such that the dodecagonal and hexagonal prisms have the same circumradius. if the dodecagons of this duoprism have edge length 1, the hexagons have edge length ${\frac {3+2{\sqrt {3}}}{3}}\approx 2.15470$ .

Using the ratio method, the lowest possible ratio between the longest and shortest edges is ${\frac {\sqrt {6}}{2}}\approx 1.22474$ .