Medial bicantitruncatotetracontoctachoron

The medial bicantitruncatotetracontoctachoron or mobcotic is a convex isogonal polychoron that consists of 48 truncated cubes, 144 ditetragonal trapezoprisms, 384 triangular cupolas, and 288 tetragonal disphenoids. 1 tuncated cube, 2 ditetragonal trapezoprisms, 3 triangular cupolas, and 1 tetragonal disphenoid 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 great rhombated icositetrachora. In this case, if the great rhombated icositetrachora are of the form a3b4c3o, then c must be between $$b+a/2$$ (producing the transitional bicantitruncatotetracontoctachoron) and $$b+(2+\sqrt2)a$$ (producing the truncated tetracontoctachoron). The lacing edges generally have length $$\sqrt{(6-4\sqrt2)b^2+(6-4\sqrt2)a(b-c)+(6-4\sqrt2)(b-c)^2+(2-\sqrt2)(a-c)^2}$$.