Great bicantitruncatotetracontoctachoron

The great bicantitruncatotetracontoctachoron or gobcotic is a convex isogonal polychoron that consists of 48 great rhombicuboctahedra, 144 ditetragonal trapezoprisms, 576 wedges, and 288 tetragonal disphenoids. 2 great rhombicuboctahedra, 2 ditetragonal trapezoprisms, 3 wedges, 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 greater than $$b+(2+\sqrt2)a$$ (producing the truncated tetracontoctachoron in the limiting case). The lacing edges generally have length $$\sqrt{(2-\sqrt2)a^2+(6-4\sqrt2)a(b-c)+(6-4\sqrt2)(b-c)^2}$$.

[Category:F4×2 symmetry]]