Square tegum

Square tegum
Rank	3
Type	Isotopic
Space	Spherical
Notation
Bowers style acronym	Squit
Coxeter diagram	oxo4ooo&#yt m2m4o ()
Elements
Faces	8 isosceles triangles
Edges	4+8
Vertices	2+4
Vertex figure	4 rhombi, 2 squares
Measures (edge lengths b (base), l (lacing))
Volume	$\frac23b^2\sqrt{l^2-\frac{b^2}{2}}$
Central density	1
Related polytopes
Army	Squit
Regiment	Squit
Dual	Square prism
Conjugate	Square tegum
Abstract & topological properties
Euler characteristic	2
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Symmetry	B2×A1, order 16
Convex	Yes
Nature	Tame

The square tegum or squit, also called a square bipyramid, is a tegum with a square as the equatorial section. Generally, a square tegum has 8 identical isosceles triangles as faces. The version with equilateral triangles is the regular octahedron, while other variations can be constructed as duals of non-uniform square prisms.