Great bicantitruncatodecachoron

The great bicantitruncatodecachoron or gobcated is a convex isogonal polychoron that consists of 10 great rhombitetratetrahedra, 20 ditrigonal trapezoprisms, 60 wedges, and 30 tetragonal disphenoids. 2 great rhombitetratetrahedra, 2 ditrigonal 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 pentachora. In this case, if the great rhombated pentachora are of the form a3b3c3o, then c must be greater than b+3a (producing the truncated decachoron in the limiting case). The lacing edges generally have length $$\sqrt{\frac{3a^2+2b^2+2c^2+2ab-2ac-4bc}{5}}$$.