Bitetracontoctachoron

The bitetracontoctachoron, also known as the tetradisphenoidal diacosioctacontoctachoron, is a convex noble polychoron with 288 tetragonal disphenoids as cells. Together with its dual, it is the second in a series of cubic swirlchora.

It is also the convex hull of an icositetrachoron and its dual.

Vertex coordinates
Coordinates for the vertices of a bitetracontoctachoron of circumradius 1, centered at the origin, are given by all permutations and sign changes of:
 * (0, 0, 0, 1)
 * (1/2, 1/2, 1/2, 1/2)
 * (0, 0, $\sqrt{2}$/2, $\sqrt{2}$/2)

Isogonal derivatives
Substitution by vertices of these following elements will produce these convex isogonal polychora:
 * Tetragonal disphenoid (288): Tetracontoctachoron
 * Isosceles triangle (576): Rectified tetracontoctachoron
 * Edge (144): Small prismatotetracontoctachoron
 * Edge (192): Biambotetracontoctachoron