Great prismated triacontaditeron

The great prismated triacontaditeron, or gippit, also called the runcicantitruncated 5-orthoplex, is a convex uniform polyteron. It consists of 80 square-hexagonal duoprisms, 40 truncated octahedral prisms, 10 truncated icositetrachora, and 32 great prismatodecachora. 2 great prismatodecachora, 1 truncated icositetrachoron, 1 truncated octahedral prism, and 1 square-hexagonal duoprisms join at each vertex. As the name suggests, it is the runcicantitruncation of the triacontaditeron. It is also the omnitruncate of the demipenteract family.

This polyteron can be alternated into a snub prismatotriacontaditeron, although it cannot be made uniform.

Vertex coordinates
The vertices of a great prismated triacontaditeron of edge length 1 are given by all permutations of:
 * $$\left(±2\sqrt2,\,±\frac{3\sqrt2}{2},\,±\sqrt2,\,±\frac{\sqrt2}{2},\,0\right).$$

Representations
A great prismated triacontaditeron has the following Coxeter diagrams:


 * o4x3x3x3x (full symmetry)
 * x3x3x *b3x3x (D5 symmetry)
 * s4x3x3x3x (D5 symmetry, as alternated faceting)