Octagonal diorthoprism

The octagonal diorthoprism or odop, also called square-octagonal plus-prism or sople, is a uniform compound polychoron. It is a compound of two square-octagonal duoprisms.

Octagonal diorthoprism
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Odop
Elements
Cells	8+8 cube, 8 op
Faces	16+32+32 squares, 8 octagons
Edges	32+32+64
Vertices	64
Vertex figure	Digonal disphenoid, edge lengths √2+√2 (base 1) and √2 (base 2 and sides)
Measures (edge length 1)
Circumradius	$\sqrt{\frac{3+\sqrt2}{2}} ≈ 1.48563$
Hypervolume	$4+4\sqrt2 ≈ 9.65685$
Dichoral angles	Cube–4–cube: 135°
	Cube–4–op: 90°
	Op–8–op: 90°
Related polytopes
Army	Sidpith
Regiment	Sidpith subregiment
Conjugate	Octagrammic diorthoprism
Convex core	Tesseract
Properties
Symmetry	B2≀S2, order 128
Nature	Tame

It can be edge-inscribed into sidpith.

Vertex coordinates

The vertices are the same as those of its hull, sidpith.

External links

• Klitzing, Richard. "sople".