# Hexagonal duotruncatoprism

Hexagonal duotruncatoprism
Rank4
TypeIsogonal
Notation
Bowers style acronymHidtep
Elements
Cells36 tetragonal disphenoids, 72 wedges, 36 rectangular trapezoprisms, 12 dihexagonal prisms
Faces144 isosceles triangles, 144 isosceles trapezoids, 72+72 rectangles, 12 dihexagons
Edges72+72+144+144
Vertices144
Vertex figureMirror-symmetric bi-apiculated tetrahedron
Measures (based on dodecagon edge length 1 and same radius ratio as uniform-derived hexagonal duoexpandoprism)
Edge lengthsEdges of dodecagons (72+72): 1
Lacing edges (144): ${\displaystyle 1+{\sqrt {3}}\approx 2.73205}$
Edges of pseudo-hexagons (144): ${\displaystyle 2+{\sqrt {3}}\approx 3.73205}$
Circumradius${\displaystyle {\sqrt {9+5{\sqrt {3}}}}\approx 4.20241}$
Central density1
Related polytopes
ArmyHidtep
RegimentHidtep
DualHexagonal duotruncatotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryG2≀S2, order 288
ConvexYes
NatureTame

The hexagonal duotruncatoprism or hidtep is a convex isogonal polychoron and the fifth member of the duotruncatoprism family. It consists of 12 dihexagonal prisms, 36 rectangular trapezoprisms, 72 wedges, and 36 tetragonal disphenoids. 2 dihexagonal prisms, 2 rectangular trapezoprisms, 3 edges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal hexagonal-dihexagonal duoprisms whose dihexagonal prism cells have a smaller circumradius than their hexagonal prisms. However, it cannot be made uniform.