Square tegum

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Square tegum
Rank3
TypeIsotopic
Notation
Bowers style acronymSquit
Coxeter diagramoxo4ooo&#yt
m2m4o ()
Elements
Faces8 isosceles triangles
Edges4+8
Vertices2+4
Vertex figure4 rhombi, 2 squares
Measures (edge lengths b  (base), l  (lacing))
Volume
Central density1
Related polytopes
ArmySquit
RegimentSquit
DualSquare prism
ConjugateSquare tegum
Abstract & topological properties
Flag count48
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryB2×A1, order 16
Flag orbits3
ConvexYes
NatureTame

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.