Octagonal tegum

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Octagonal tegum
Rank3
TypeUniform dual
Notation
Bowers style acronymOt
Coxeter diagramm2m8o
Elements
Faces16 isosceles triangles
Edges8+16
Vertices2+8
Vertex figure2 octagons, 8 squares
Measures (edge length 1)
Dihedral angle
Central density1
Number of external pieces16
Level of complexity3
Related polytopes
ArmyOt
RegimentOt
DualOctagonal prism
ConjugateOctagrammic tegum
Abstract & topological properties
Flag count96
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryI2(8)×A1, order 32
ConvexYes
NatureTame

The octagonal tegum, also called an octagonal bipyramid, is a tegum with an octagon as the midsection, constructed as the dual of an octagonal prism. It has 16 isosceles triangles as faces, with 2 order–8 and 8 order–4 vertices.

In the variant obtained as the dual of a uniform octagonal prism, the side edges are times the length of the edges of the base octagon. Each face has apex angle and base angles . If the base octagon has edge length 1, its height is .

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