Triangular pucloidfastegium

The triangular pucloidfastegium is a segmentochoron. It consists of 3 triangular prisms, 3 square pyramids, and 2. It is a faceting of the triangular antifastegium.

The triangular cuploidfastegium appears as a facet in the grand rhombic prismatopentachoric alterprism, prismatointercepted prismatodispentachoric alterprism, and prismatointercepted prismatodispentachoric spinoalterprism.

Vertex coordinates
The vertices of a triangular cuploidfastegium with edge length 1 are given by:
 * $$\left(±\frac12,\,-\frac{\sqrt3}{6},\,±\frac12,\,0\right),$$
 * $$\left(0,\,\frac{\sqrt3}{3},\,±\frac12,\,0\right),$$
 * $$\left(±\frac12,\,\frac{\sqrt3}{6},\,0,\,\frac{\sqrt{15}}{6}\right),$$
 * $$\left(0,\,-\frac{\sqrt3}{3},\,0,\,\frac{\sqrt{15}}{6}\right).$$