Inflation: Difference between revisions

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==External links==
==External links==
{{LinkWikipedia|Kronecker_product|pagename=Kronecker product}}
{{LinkWikipedia|Kronecker_product|pagename=Kronecker product}}
* [http://mathworld.wolfram.com/KroneckerProduct.html Kronecker Product] at Wolfram Mathworld
* {{LinkMathworld|filename=KroneckerProduct.html|pagename=Kronecker Product}}
{{LinkForumThread|t=3629|title=Unofficial symmetries|date=20 Dec 2018}}
{{LinkForumThread|t=3629|title=Unofficial symmetries|date=20 Dec 2018}}

Revision as of 02:58, 17 June 2022

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 (pseudo-)symmetry by a factor of 2n×2n by prefixing the i operator to the desired symmetry string n times.