Great cellipenteractitriacontaditeron

The great cellated penteractitriacontaditeron, or gacnet, also called the omnitruncated 5-cube, is a convex uniform polyteron. It consists of 80 hexagonal-octagonal duoprisms, 80 truncated octahedral prisms, 40 great rhombicuboctahedral prisms, 32 great prismatodecachora, and 10 great disprismatotesseractihexadecachora. One of each type of facet joins at each vertex. As the name suggests, it is the omnitruncate of the BC5 family.

This polyteron can be alternated into an omnisnub penteract, although it cannot be made uniform.

Vertex coordinates
The vertices of a great cellated penteractitriacontaditeron of edge length 1 are given by all permutations of:
 * (±(1+4$\sqrt{2}$)/2, ±(1+3$\sqrt{3}$)/2, ±(1+2$\sqrt{2+√2}$)/2, ±(1+$\sqrt{65+20√2}$)/2, ±1/2)