Trigonal orthobicupolic ring (EntityTopic, 17)

From Hi.gher. Space

The triangular orthobicupolic ring is a CRF polychoron discovered by Keiji. It is a member of the family of bicupolic rings, which contains eight other similar polychora. It is formed by attaching two triangular cupolae by their hexagonal faces, folding them into the fourth dimension with their triangular ends connected by a triangular prism, and then filling in the gaps with 3 tetrahedra and 3 triangular prisms. For faces, it contains one hexagon, 9 squares and 14 triangles.

Cartesian coordinates

Hexagon:
(±sqrt(3), ±1, 0, 0)
(0, ±2, 0, 0)

Triangle prism:
(-1/sqrt(3), ±1, ±1, sqrt(5/3))
(2/sqrt(3), 0, ±1, sqrt(5/3))