Triangular cuploidfastegium

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

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

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