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Rectification


The term rectification is sometimes used to refer to the determination of the length of a curve.

Rectification

Rectification also refers to the operation which converts the midpoints of the edges of a regular polyhedron to the vertices of the related "rectified" polyhedron. Rectified forms are bounded by a combination of rectified cells and vertex figures. Therefore, a rectified polychoron r{p,q,r} is bounded by r{p,q}s and {q,r}s. For example, r{3,3,5} is bounded by 600 truncated tetrahedra (truncated cells) and 120 icosahedra (vertex figures). A rectified polyhedron is indicated by prepending an "r" to the Schläfli symbol.

Rectification of the six regular polychora gives five (not six) new polychora since the rectified 16-cell r{3,3,4} is the 24-cell {3,4,3}.


See also

Quadrable, Squaring, Stellation, Truncation, Vertex Figure

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Cite this as:

Weisstein, Eric W. "Rectification." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Rectification.html

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