Octagrammic diorthoprism

Octagrammic diorthoprism
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stodop
Elements
Cells	8+8 cube, 8 stop
Faces	16+32+32 squares, 8 octagrams
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	${\sqrt {\frac {3-{\sqrt {2}}}{2}}}\approx 0.89045$
Hypervolume	$4{\sqrt {2}}-4\approx 1.65685$
Dichoral angles	Stop–8/3–stop: 90°
	Cube–4–stop: 90°
	Cube–4–cube: 45°
Related polytopes
Army	Tat
Regiment	Stodop
Conjugate	Octagonal diorthoprism
Convex core	Octagonal duoprism
Properties
Symmetry	B2≀S2, order 128
Nature	Tame

The octagrammic diorthoprism or stodop, also called square-octagram plus-prism or sistople, is a uniform compound polychoron. It is a compound of two square-octagrammic duoprisms.

It can be edge-inscribed into gittith.

Vertex coordinates

The vertices are the same as those of gittith.

External links

• Klitzing, Richard. "sistople".