Inflation: Difference between revisions
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Apple Bottom (talk | contribs) m glossarify (glossify?) |
Apple Bottom (talk | contribs) m The Kronecker product really *is* ubiquitious. |
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| [[File:Inflation.png|frame|center|Inflation of a 4×4 [[soup]] to 8×8.]] | | [[File:Inflation.png|frame|center|Inflation of a 4×4 [[soup]] to 8×8.]] | ||
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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== | ==Uses== | ||
[[apgsearch]] 4.x (apgluxe) supports inflation of [[soup]]s of arbitrary [[symmetry]] by a factor of 2<sup>''n''</sup>×2<sup>''n''</sup> by prefixing the <tt>i</tt> operator to the desired symmetry ''n'' times. | [[apgsearch]] 4.x (apgluxe) supports inflation of [[soup]]s of arbitrary [[symmetry]] by a factor of 2<sup>''n''</sup>×2<sup>''n''</sup> by prefixing the <tt>i</tt> operator to the desired symmetry ''n'' times. | ||
==External links== | |||
{{LinkWikipedia|Kronecker_product|pagename=Kronecker product}} | |||
Revision as of 14:55, 25 February 2019
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 (apgluxe) supports inflation of soups of arbitrary symmetry by a factor of 2n×2n by prefixing the i operator to the desired symmetry n times.
External links
- Kronecker product at Wikipedia