Natural: Difference between revisions

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Partially restore the older version https://conwaylife.com/w/index.php?title=Natural&oldid=104576 -- the idea of "naturalness" is lost by shifting the focus to the SHA-256 preimages (see also https://conwaylife.com/forums/search.php?keywords=naturalness)
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references
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* [[List of natural spaceships]]
* [[List of natural spaceships]]
* [[Common]]
* [[Common]]
==References==
<references>
</references>


==External links==
==External links==
* {{LinkLexicon|lex_n.htm#natural}}
* {{LinkLexicon|lex_n.htm#natural}}
* {{LinkForumThread|f=2|t=5549|title=Small Unnatural Objects Watchlist}}
* {{LinkForumThread|f=2|t=5549|title=Small Unnatural Objects Watchlist}}

Revision as of 18:39, 11 March 2023

There are two distinct definitions of natural.

Under the narrower definition, a natural object is one that occurs often in the ash of random patterns. There is no precise measure of naturalness,[1] since the most useful definition of "random" in this context is open to debate; nonetheless, objects such as blocks, blinkers, beehives and gliders are very natural, while loafers, darts, guns, etc., are not.

Less strictly, an object is said to occur naturally if it has been found in the ash of an asymmetric random soup at least once; the object in question may then also be said to be natural, e.g. "a natural Coe ship" (even though it forms rarely and is not very natural in the above sense). Objects found in the ash of symmetric random soups are said to occur semi-naturally (or sometimes almost naturally). The dart is an example of a semi-natural pattern, having appeared in soups with bilateral symmetry.

In the above, the definition of a random soup is an 16 × 16 pattern where a SHA-256 preimage string is known (under the influence of Catagolue).

Objects such as blocks, blinkers, beehives and gliders are very natural and appear in the majority of soups, while objects such as figure eights and queen bee shuttles are less natural, occurring rarely. Darts, Gosper glider guns, etc., are not natural as of February 2023, having never appeared in an asymmetric soup.

See also

References