Triangular antitegum

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Triangular antitegum
TrigonalTrapezohedron.svg
Rank3
TypeIsotopic
SpaceSpherical
Bowers style acronymTrate
Info
Coxeter diagramp2p3p
SymmetryG2×A1+, order 12
ArmyTrate
RegimentTrate
Elements
Vertex figure2 triangles, 6 isosceles triangles
Faces6 rhombi
Edges6+6
Vertices2+6
Central density1
Euler characteristic2
Related polytopes
DualTriangular antiprism
ConjugateTrigonal antitegum
Properties
ConvexYes
OrientableYes
NatureTame

The trigonal antitegum, also known as the trigonal trapezohedron, is an antitegum based on a triangle. If all edges are equal length, the result is the regular cube. The general triangular antitegum has 6 identical rhombic faces.

Variants of the triangular antitegum exist that are dual to the triangular antipodium as well, using 2 different sets of 3 kites for faces.