Square duoantitegum

Square duoantitegum
Rank	4
Type	Isotopic
Notation
Coxeter diagram	p8o2p8o
Elements
Cells	32 elongated tetragonal disphenoids
Faces	64 triangles, 64 rhombi
Edges	16+128
Vertices	16+32
Vertex figure	64 tetragonal disphenoids, 16 square antitegums
Measures (edge length 1)
Central density	1
Related polytopes
Dual	Square duoantiprism
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	(I2(8)≀S2)/2, order 256
Convex	Yes
Nature	Tame

The square duoantitegum, also known as the square-square duoantitegum, the 4 duoantitegum or the 4-4 duoantitegum, is a convex isochoric polychoron and member of the duoantitegum family with 32 elongated tetragonal disphenoids as cells. It is the second in an infinite family of isochoric square hosohedral swirlchora and also the third in an infinite family of isochoric digonal tegmatic swirlchora, the other being the digonal double tetraswirltegum.

Each cell of this polychoron has digonal antiprismatic symmetry, with 4 rhombi and 4 triangles for faces.