Rectified icosiheptaheptacontadipeton

The rectified icosiheptaheptaheptacontadipeton, or rojak, also called the rectified 221 polytope, is a convex uniform polypeton. It consists of 27 demipenteracts, 27 rectified triacontaditera, and 72 rectified hexatera. Two demipenteracts, 5 rectified triacontaditera, and 5 rectified hexatera join at each rectified pentachoric prismatic vertex. As the name suggests, it is the rectification of the icosiheptaheptacontadipeton.

The rectified icosiheptaheptacontadipeton contains the vertices of a small prismated hexateral prism and a triangular-triangular-hexagonal trioprism.

Representations
A rectified icosiheptaheptacontadipeton has the following Coxeter diagrams:


 * o3x3o3o3o *b3o (full symmetry)
 * oxox3ooxo3oooo *b3xooo3oxoo&#xt (D5 axial, demipenteract-first)
 * ox(ou)xo3xo(oo)ox3oo(xo)oo3ox(oo)xo3oo(xo)oo&#xt (A5 axial, rectified hexateron-first)

Related polytopes
The rectified icosiheptaheptacontadipeton is the colonel of a regiment with 2890 members.