# Inflation

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**Inflation** is the process of replacing each cell in a pattern, live or dead, with a larger *m*×*n* rectangle of cells in the same state.

Inflation can be thought of as taking the Kronecker product of, in order, a given pattern and an *m*×*n* matrix of ones.

## Uses

apgsearch 4.x (apgluxe) supports inflation of soups of arbitrary symmetry by a factor of 2^{n}×2^{n} by prefixing the `i` operator to the desired symmetry *n* times.

## External links

- Kronecker product at Wikipedia