Triangular frustum

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Triangular frustum
Rank3
Notation
Bowers style acronymTrif
Coxeter diagramxy3oo&#z
Elements
Faces1+1 triangles, 3 isosceles trapezoids
Edges3+3+3
Vertices3+3
Vertex figureIsosceles triangle (two types)
Measures (edge length 1)
Central density1
Related polytopes
DualPyramidal-symmetric triangular tegum
ConjugateTriangular frustum
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryA2×I, order 6
ConvexYes
NatureTame

The triangular frustum or trif, also known as a triangular podium, is a variant of the triangular prism where the bases are different sized equilateral triangles. It generally has two different sized triangles and 3 isosceles trapezoids as faces.

In vertex figures[edit | edit source]

4 nonconvex uniform polychora have triangular frustums for vertex figures, including the great tesseractitesseractihexadecachoron, great ditrigonal hecatonicosihexacosihecatonicosachoron, great hexacosihecatonicosihecatonicosachoron, and small hecatonicosihecatonicosihexacosichoron.