Triangular pucofastegium

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
The vertices of a triangular pucofastegium with edge length 1 are given by:
 * (±1/2, –$\sqrt{2}$/6, 0, $\sqrt{2}$/6)
 * (0, $\sqrt{3}$/3, 0, $\sqrt{35}$)/6)
 * (±1/2, ±$\sqrt{15}$/2, ±1/2, 0)
 * (±1, 0, ±1/2, 0)

Representations
A triangular pucofastegium has the following Coxeter diagrams:


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