Triangular pucofastegium

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Triangular pucofastegium
Rank4
TypeSegmentotope
Notation
Bowers style acronymTripuf
Coxeter diagramox ox3xx&#x
Elements
Cells3 square pyramids, 3 triangular prisms, 2 triangular cupolas, 1 hexagonal prism
Faces1+6+6 triangles, 3+3+6 squares, 2 hexagons
Edges3+6+6+6+12
Vertices3+12
Vertex figures3 wedges, edge lengths 1 (base square and top edge) and 2 (remaining edges)
 12 irregular tetrahedra, edge lengths 1 (2), 2 (3), and 3 (1)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSquippy–3–trip:
 Tricu–4–trip:
 Squippy–3–tricu:
 Tricu–3–tricu:
 Hip–4–squippy:
 Hip–6–tricu:
 Trip–4–hip:
HeightsHig atop tricu:
 Trig atop hip:
Central density1
Related polytopes
ArmyTripuf
RegimentTripuf
DualTriangular pucolanotch
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA2×A1×I, order 12
ConvexYes
NatureTame

The triangular pucofastegium, or tripuf, also sometimes called the triangular magnabicupolic ring, is a CRF segmentochoron (designated K-4.51 on Richard Klitzing's list). It consists of 3 triangular prisms, 3 square pyramids, 2 triangular cupolas, and 1 hexagonal prism.

The triangular pucofastegium occurs as the triangle-first cap of the small rhombated pentachoron.

Vertex coordinates[edit | edit source]

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

Representations[edit | edit source]

A triangular pucofastegium has the following Coxeter diagrams:

  • ox ox3xx&#x (full symmetry)
  • xxx3oxx&#x (A2 symmetry only, seen with hexagon atop triangular cupola)

External links[edit | edit source]