Inflation: Difference between revisions

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m The Kronecker product really *is* ubiquitious.
m correction
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==Uses==
==Uses==
[[apgsearch]] 4.x (apgluxe) supports inflation of [[soup]]s of arbitrary [[symmetry]] by a factor of 2<sup>''n''</sup>&times;2<sup>''n''</sup> by prefixing the <tt>i</tt> operator to the desired symmetry ''n'' times.
[[apgsearch]] 4.x and above (apgluxe) support inflation of [[soup]]s of arbitrary [[symmetry]] by a factor of 2<sup>''n''</sup>&times;2<sup>''n''</sup> by prefixing the <tt>i</tt> operator to the desired symmetry ''n'' times.


==External links==
==External links==
{{LinkWikipedia|Kronecker_product|pagename=Kronecker product}}
{{LinkWikipedia|Kronecker_product|pagename=Kronecker product}}

Revision as of 01:11, 7 January 2021

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 of a 4×4 soup to 8×8.

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 and above (apgluxe) support inflation of soups of arbitrary symmetry by a factor of 2n×2n by prefixing the i operator to the desired symmetry n times.