Great petihexadecaexon

The great petihexadecaexon, great petated octaexon or omnitruncated octaexon, also called the omnitruncated 7-simplex, is a convex uniform polyexon. It consists of 12 great teritetradecapeta, 56 great cellidodecateric prisms, 112 hexagonal-great prismatodecachoric duoprisms, and 70 truncated octahedral duoprisms. 2 great teritetradecapeta, 2 great cellidodecateric prisms, 2 hexagonal-great prismatodecachoric duoprisms, and 1 truncated octahedral duoprism join at each vertex. As the name suggests, it is the omnitruncation of the octaexon. It is the permutotope of order 8.