Rectification (geometry) - in Polychora and 3D Honeycomb Tessellations

In Polychora and 3d Honeycomb Tessellations

Each convex regular polychoron has a rectified form as a uniform polychoron.

A regular polychoron {p,q,r} has cells {p,q}. Its rectification will have two cell types, a rectified {p,q} polyhedron left from the original cells and {q,r} polyhedron as new cells formed by each truncated vertex.

A rectified {p,q,r} is not the same as a rectified {r,q,p}, however. A further truncation, called bitruncation, is symmetric between a polychoron and its dual. See Uniform_polychoron#Geometric_derivations.

Examples