Triangular cupolic prism

The triangular cupolic prism, or tricupe, is a CRF segmentochoron (designated K-4.45 on Richard Klitzing's list). It consiss of 2 triangular cupolas, 4 triangular prisms, 3 cubes, and 1 hexagonal prism.

As the name suggests, it is a prism based on the triangular cupola. As such, it is a segmentochoron between two triangular cupolas. It can also be viewed as a segmentochoron between a hexagonal prism and a triangular prism.

Two triangular cupolic prisms can be joined at their hexagonal prismatic cells in opposite orientations to form a cuboctahedral prism. By rotating one of the triangular cupolic prisms before joining, one can instead form a triangular orthobicupolic prism.

Vertex coordinates
Coordinates of the vertices of a triangular cupolic prism of edge length 1 centered at the origin are given by:
 * (±1/2, –$\sqrt{2}$/6, $\sqrt{2}$/3, ±1/2)
 * (0, $\sqrt{2}$/3, $\sqrt{3}$/3, ±1/2)
 * (±1/2, ±$\sqrt{5}$/2, 0, ±1/2)
 * (±1, 0, 0, ±1/2)