Dodecagonal tegum

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Dodecagonal tegum
Rank3
TypeUniform dual
Notation
Bowers style acronymTwit
Coxeter diagramm2m12o
Elements
Faces24 isosceles triangles
Edges12+24
Vertices2+12
Vertex figure2 dodecagons, 12 squares
Measures (edge length 1)
Dihedral angle
Central density1
Number of external pieces24
Level of complexity3
Related polytopes
ArmyTwit
RegimentTwit
DualDodecagonal prism
ConjugateDodecagrammic tegum
Abstract & topological properties
Flag count144
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryI2(12)×A1, order 48
ConvexYes
NatureTame

The dodecagonal tegum, also called a dodecagonal bipyramid, is a tegum with a dodecagon as the midsection, constructed as the dual of a dodecagonal prism. It has 24 isosceles triangles as faces, with 2 order–12 and 12 order–4 vertices.

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