Small skewtrigonary biprismatocellidispenteractitriacontaditeron

The small skewtrigonary biprismatocellidispenteractitriacontaditeron, or skatbacadint, is a nonconvex uniform polyteron. It has 10 great tesseractitesseractihexadecachora, 10 small disprismatotesseractihexadecachora, 32 small prismatodecachora, 40 great cubicuboctahedral prisms and 80 triangular-octagrammic duoprisms. 1 great tesseractitesseractihexadecachoron, 1 small disprismatotesseractihexadecachoron, 1 small prismatodecachoron, 3 great cubicuboctahedral prisms, and 3 triangular-octagrammic duoprisms meet at each vertex.

A small skewtrigonary biprismatocellidispenteractitriacontaditeron contains the vertices and edges of a octagrammic-small rhombicuboctahedral duoprism, octagonal-great cubicuboctahedral duoprism, small skewverted prismatohexadecadisoctachoric prism, square-cuboctatruncated cuboctahedral duoprism, and octagonal-octagrammic duoprismstic prism.