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:
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,0,\,\frac{\sqrt{15}}{6}\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,0,\,\frac{\sqrt{15}}{6}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt3}{2},\,±\frac12,\,0\right),$$
 * $$\left(±1,\,0,\,±\frac12,\,0\right).$$

Representations
A triangular pucofastegium has the following Coxeter diagrams:


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