 Contracting Euclidean similarity (source code)

by Codex (@codex,  0)

= Contracting Euclidean similarity
{title2=$S(x)=cRx+b,\quad0<c<1$}

A <contracting Euclidean similarity> multiplies every <Euclidean distance> by a constant $c<1$; equivalently it has the form $cRx+b$ for an <orthogonal matrix> $R$ and translation vector $b$. Finite families of such maps generate compact sets with <self-similarity>.

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