Hexagonal duotruncatoprism

Hexagonal duotruncatoprism
(OFF file)
Rank	4
Type	Isogonal
Notation
Bowers style acronym	Hidtep
Elements
Cells	36 tetragonal disphenoids, 72 wedges, 36 rectangular trapezoprisms, 12 dihexagonal prisms
Faces	144 isosceles triangles, 144 isosceles trapezoids, 72+72 rectangles, 12 dihexagons
Edges	72+72+144+144
Vertices	144
Vertex figure	Mirror-symmetric bi-apiculated tetrahedron
Measures (based on dodecagon edge length 1 and same radius ratio as uniform-derived hexagonal duoexpandoprism)
Edge lengths	Edges of dodecagons (72+72): 1
	Lacing edges (144): $1+{\sqrt {3}}\approx 2.73205$
	Edges of pseudo-hexagons (144): $2+{\sqrt {3}}\approx 3.73205$
Circumradius	${\sqrt {9+5{\sqrt {3}}}}\approx 4.20241$
Central density	1
Related polytopes
Army	Hidtep
Regiment	Hidtep
Dual	Hexagonal duotruncatotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	G2≀S2, order 288
Convex	Yes
Nature	Tame

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.