Inflation: Difference between revisions
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{{Glossary}} | {{Glossary}} | ||
'''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''' 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. | ||
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==Uses== | ==Uses== | ||
[[apgsearch]] 4.x and above (apgluxe) support inflation of [[soup]]s of arbitrary | [[apgsearch]] 4.x and above (apgluxe) support inflation of [[soup]]s of arbitrary (pseudo-)symmetry by a factor of 2<sup>''n''</sup>×2<sup>''n''</sup> by prefixing the <tt>i</tt> operator to the desired symmetry string ''n'' times. | ||
==External links== | ==External links== | ||
{{LinkWikipedia|Kronecker_product|pagename=Kronecker product}} | {{LinkWikipedia|Kronecker_product|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 09:49, 28 May 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.
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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.
External links
- Kronecker product at Wikipedia
- Unofficial symmetries (discussion thread) at the ConwayLife.com forums