D4.7 (EntityTopic, 15)
From Hi.gher. Space
CJ4.7 is a CRF polychoron crown jewel discovered by student91 on February 24, 2014. It is based on a modified tristratic cap derived from the rectified 600-cell o5o3x3o.
The modified tristratic cap has the structure o5x3o || x5o3x || o5o3F || o5x3x. This crown jewel is then constructed from this tristratic cap by deleting the vertices of 8 triangles from the x5o3x layer that lie at the vertices of an inscribed cube.
Its faces are 308 triangles, 42 squares, 48 pentagons and 20 hexagons. Its cells are 12+12+24 = 48 tetrahedra, 6 triangular prisms, 6 square pyramids, 12 pentagonal pyramids, 12 triangular cupolae, 12 octahedra, 12 tridiminished icosahedra, 8 triangular hebesphenorotundae, a rhodomesohedron and a truncated icosahedron - a total of ten different cell types!
It is the first crown jewel to be discovered with (a 4D variant of) pyritohedral symmetry.
Projections
Centered on icosidodecahedron:
Vertex types highlighted:
