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Expansion


Expansion is an affine transformation (sometimes called an enlargement or dilation) in which the scale is increased. It is the opposite of a geometric contraction, and is also sometimes called an enlargement. A central dilation corresponds to an expansion plus a translation.

Polyhedron expansion, also known as cantellation is a different type of expansion in which a subset of edges or faces of a polyhedron are radially displaced while keeping their orientations and sizes constant, then filling in the gaps with new faces.


See also

Affine Transformation, Cantellation, Convex Hull

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Cite this as:

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

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