Octagonal duotruncatoprism

Octagonal duotruncatoprism
(OFF file)
Rank	4
Type	Isogonal
Notation
Bowers style acronym	Odtep
Elements
Cells	64 tetragonal disphenoids, 128 wedges, 64 rectangular trapezoprisms, 16 dioctagonal prisms
Faces	256 isosceles triangles, 256 isosceles trapezoids, 128+128 rectangles, 16 dioctagons
Edges	128+128+256+256
Vertices	256
Vertex figure	Mirror-symmetric bi-apiculated tetrahedron
Measures (based on hexadecagon edge length 1 and same radius ratio as uniform-derived octagonal duoexpandoprism)
Edge lengths	Edges of hexadecagons (128+128): 1
	Lacing edges (256): ${\sqrt {4+2{\sqrt {2}}+{\sqrt {20+14{\sqrt {2}}}}}}\approx 3.62451$
	Edges of pseudo-octagons (256): $2+{\sqrt {2+{\sqrt {2}}}}\approx 3.84776$
Circumradius	${\sqrt {9+5{\sqrt {2}}+5{\sqrt {\frac {10+7{\sqrt {2}}}{2}}}}}\approx 5.64293$
Central density	1
Related polytopes
Army	Odtep
Regiment	Odtep
Dual	Octagonal duotruncatotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(8)≀S2, order 512
Convex	Yes
Nature	Tame

The octagonal duotruncatoprism is a convex isogonal polychoron and the seventh member of the duotruncatoprism family. It consists of 16 dioctagonal prisms, 64 rectangular trapezoprisms, 128 wedges, and 64 tetragonal disphenoids. 2 dioctagonal prisms, 2 rectangular trapezoprisms, 3 wedges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal octagonal-dioctagonal duoprisms whose dioctagonal prisms have a smaller circumradius than their octagonal prisms. However, it cannot be made uniform.