Dodecagonal tegum

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Dodecagonal tegum
Rank3
TypeUniform dual
SpaceSpherical
Bowers style acronymTwit
Info
Coxeter diagramm2m12o
SymmetryI2(12)×A1, order 48
ArmyTwit
RegimentTwit
Elements
Vertex figure2 dodecagons, 12 squares
Faces24 isosceles triangles
Edges12+24
Vertices2+12
Measures (edge length 1)
Dihedral angle
Central density1
Euler characteristic2
Related polytopes
DualDodecagonal prism
ConjugateDodecagrammic tegum
Properties
ConvexYes
OrientableYes
NatureTame

The dodecagonal tegum or twit, also called a dodecagonal dipyramib, 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 .