Small dispenteractirhombated triacontaditeron

The small dispenteractirhombated triacontaditeron, or sadinnert, is a nonconvex uniform polyteron. It consists of 10 tesseractihexadecaquasitruncated prismatotesseractihexadecachora, 32 great rhombated pentachora, 10 tesseractihexadecatruncated tesseractihexadecachora, and 40 truncated cubic prisms. One great rhombated pentachoron, 1 tesseractihexadecatruncated tesseractihexadecachoron, 1 truncated cubic prism, and 2 tesseractihexadecaquasitruncated prismatotesseractihexadecachora join at each vertex.

Vertex coordinates
The vertices of a small dispenteractirhombated triacontaditeron of edge length 1 are given by all permutations of:
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac{\sqrt2-1}{2},\,±\frac{2\sqrt2-1}{2},\,±\frac12\right).$$