Small biomnitruncatotetracontoctachoron

The small biomnitruncatotetracontoctachoron or sabotic is a convex isogonal polychoron that consists of 48 great rhombicuboctahedra, 144 ditetragonal trapezoprisms, 192 ditrigonal prisms, 288 rectangular trapezoprisms, and 576 rectangular frustums. 2 rectangular frustums and 1 of each of the other 4 cell types join at each vertex.

It is one of a total of four distinct polychora (including two transitional cases) that can be obtained as the convex hull of two opposite great disprismatoicositetricositetrachora	 (that is, variants of the great prismatotetracontoctachoron with single F4 symmetry). If the great disprismatoicositetricositetrachora are of the form a3b4c3d, then the lacing edges generally have length $$\sqrt{(2-\sqrt2)(a-d)^2+(6-4\sqrt2)(b-c)^2+(6-4\sqrt2)(a-d)(b-c)}$$.

This polychoron can be alternated into a small omnisnub bitetracontoctachoron, which is also nonuniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{34+\sqrt{476+306\sqrt2}}{34}$$ ≈ 1:1.88663.