Medial birhombatotetracontoctachoron

The medial birhombatotetracontoctachoron or mabric is a convex isogonal polychoron that consists of 48 cuboctahedra, 144 square antiprisms, 192 triangular prisms, 576 rectangular pyramids, and 288 tetragonal disphenoids 1 cuboctahedron, 2 square antiprisms, 2 triangular prisms, 5 rectangular pyramids, and 2 tetragonal disphenoids join at each vertex.

It is one of a total of five distinct polychora (including two transitional cases) that can be obtained as the convex hull of two opposite small rhombated icositetrachora. In this case, the4 ratio between the edges of the small rhombated pentachoron a3o4b3o is less than b:a = 1/2 (which produces the rectified small prismatotetracontoctachoron in the limiting case). The lacing edges generally have length $$\sqrt{(2-\sqrt2)a^2-(6-4\sqrt2)ab+(6-4\sqrt2)b^2}$$.