Celliprismatotruncatopenteractitriacontaditeron

The celliprismatotruncatopenteractitriacontaditeron or celliprismatotruncated penteractitriacontaditeron, short name captint, also called the steriruncitruncated 5-cube, is a convex uniform polyteron. It consists of 80 truncated tetrahedral prisms, 80 hexagonal-octagonal duoprisms, 40 truncated cubic prisms, 32 prismatorhombated pentachora, and 10 prismatorhombated hexadecachora. 1 prismatorhombated pentachoron, 1 prismatorhombated hexadecachoron, 1 truncated tetrahedral prism, 1 truncated cubic prism, and 2 hexagonal-octagonal duoprisms join at each vertex. As the name suggests, it is the steriruncitruncation of the penteract.

Vertex coordinates
The vertices of a celliprismatotruncatopenteractitriacontaditeron of edge length 1 are given by all permutations of:
 * $$\left(±\frac{1+3\sqrt2}{2},\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12\right).$$

Related polytopes
The celliprismatotruncatopenteractitriacontaditeron is the colonel of a three-member regiment that also includes the small retrocelliprisatotruncatopenteractitriacontaditeron and small lepidocelliprismatotruncatopenteractitriacontaditeron.