rectification, or birectification, truncates faces down to points. If regular it has notation t2{p,q,...} or 2r{p,q,...}. For polyhedra, a birectification creates...

rectified great stellated dodecahedron. The process completes as a birectification, reducing the original faces down to points, and producing the great...

dodecadodecahedron as a rectified great dodecahedron. The process completes as a birectification, reducing the original faces down to points, and producing the small...

a birectification, reduces original faces to points. For polyhedra, this becomes the dual polyhedron. Example: an octahedron is a birectification of...

icosidodecahedron as a rectified great icosahedron. The process completes as a birectification, reducing the original faces down to points, and producing the great...

hyperplane mirrors in 8-dimensional space. It is named for being a birectification of the 421. Vertices are positioned at the center of all the triangle...

{\displaystyle {\begin{Bmatrix}p\\q\end{Bmatrix}}} r{p,q} t1{p,q} Cuboctahedron Birectification (Regular dual) { q , p } {\displaystyle {\begin{Bmatrix}q,p\end{Bmatrix}}}...

operation applied until the original edges are degenerated into points. 3 Birectification (Rectified dual) t2{p,q,r} Face are fully truncated to points. Same...

vertex. The number of edges is unchanged and are rotated 90 degrees. A birectification can be seen as the dual. Truncated (t) t{p,q} t0,1{p,q} Each original...

tiling Truncated order-8 triangular tiling Truncated octagonal tiling Birectification (2r) Dual (d) 2r{p,q} triangular dihedron {3,2} triangular hosohedron...

combined faces of the parent and dual. Birectified t2{p,q,r,s,t,u} Birectification reduces cells to their duals. Truncated t0,1{p,q,r,s,t,u} Each original...

faces of the parent and dual. Birectified t2{p,q,r,s} 2r{p,q,r,s} Birectification reduces faces to points, cells to their duals. Trirectified t3{p,q...

rectification is the dual. A rectification reduces edges to vertices, a birectification reduces faces to vertices, a trirectification reduces cells to vertices...

the combined faces of the parent and dual. Birectified t2{p,q,r,s,t} Birectification reduces cells to their duals. Truncated t0,1{p,q,r,s,t} Each original...

of two regular 5-simplexes in dual configuration. The vertices of a birectification exist at the center of the faces of the original polytope(s). This...