Triangular cuploidfastegium

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Triangular cuploidfastegium
Rank4
TypeSegmentotope
Notation
Coxeter diagramxo xx3/2ox&#x
Elements
Cells1+3 triangular prisms
3 tetrahedra
2 tetrahemihexahedra
Faces2+6+6 triangles
3+6 squares
Edges6+12 3-fold
3+3 4-fold
Vertices3+6
Vertex figures3 butterfly wedges
 6 skewed bowtie pyramids
Measures (edge length 1)
Circumradius
Related polytopes
ArmyTraf
RegimentTraf
ConjugateNone
Abstract & topological properties
OrientableNo
Properties
SymmetryA2×A1×I, order 12
ConvexNo
NatureTame

The triangular cuploidfastegium is a segmentochoron. It consists of 4 triangular prisms, 2 tetrahemihexahedra, and 3 tetrahedra. It is a faceting of the triangular antifastegium.

The triangular cuploidfastegium appears as a facet in the small rhombic dispentachoric alterprism.

Vertex coordinates[edit | edit source]

The vertices of a triangular cuploidfastegium with edge length 1 are given by: