One cell thick pattern/Snippet - Revision history

Confocal: formatting

2022-08-22T04:50:11Z

formatting

← Older revision		Revision as of 04:50, 22 August 2022
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	<noinclude>{{Snippet}}</noinclude>A '''one cell thick pattern''' is a [[pattern]] that is only one [[cell]] thick; that is, it is contained entirely within one dimension of the [[Conway's Game of Life\|Life]] plane. Put another way, it is a pattern with [[bounding box]] of the form y~~×~~1 for some natural number y. Because of their size restriction, exhaustive computer searches have been carried out to explore one cell thick patterns up to size about 40~~×~~1. Despite their inherent limitations, one cell thick patterns can exhibit quite complex behavior, even at reasonably small sizes.		<noinclude>{{Snippet}}</noinclude>A '''one cell thick pattern''' is a [[pattern]] that is only one [[cell]] thick; that is, it is contained entirely within one dimension of the [[Conway's Game of Life\|Life]] plane. Put another way, it is a pattern with [[bounding box]] of the form {{times\|''y''\|1}} for some natural number ''y''. Because of their size restriction, exhaustive computer searches have been carried out to explore one cell thick patterns up to size about {{times\|40\|1}}. Despite their inherent limitations, one cell thick patterns can exhibit quite complex behavior, even at reasonably small sizes.

	In May {{year\|1998}}, [[Stephen Silver]] produced a one cell thick pattern that exhibits infinite growth, following a conjecture of [[Nick Gotts]] that such patterns exist. This pattern was extremely large (12470~~×~~1 in the first version, reduced to 5447~~×~~1 the following day). In October 1998, [[Paul Callahan]] performed an exhaustive computer search to find the following pattern that exhibits infinite growth. It is probably the most well-known one cell thick pattern, and Callahan showed that it is the smallest such one cell thick pattern (in terms of its bounding box) to exhibit [[infinite growth]]. It contains 28 alive [[cell]]s and has a 39~~×~~1 bounding box.		In May {{year\|1998}}, [[Stephen Silver]] produced a one cell thick pattern that exhibits infinite growth, following a conjecture of [[Nick Gotts]] that such patterns exist. This pattern was extremely large ({{times\|12470\|1}} in the first version, reduced to {{times\|5447\|1}} the following day). In October 1998, [[Paul Callahan]] performed an exhaustive computer search to find the following pattern that exhibits infinite growth. It is probably the most well-known one cell thick pattern, and Callahan showed that it is the smallest such one cell thick pattern (in terms of its bounding box) to exhibit [[infinite growth]]. It contains 28 alive [[cell]]s and has a {{times\|39\|1}} bounding box.
	[[Image:Unidimensional_infinite.png\|center]]		[[Image:Unidimensional_infinite.png\|center]]

Ian07: templatified links

2019-12-27T17:52:03Z

templatified links

← Older revision		Revision as of 17:52, 27 December 2019
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	<noinclude>{{Snippet}}</noinclude>A '''one cell thick pattern''' is a [[pattern]] that is only one [[cell]] thick; that is, it is contained entirely within one dimension of the [[Conway's Game of Life\|Life]] plane. Put another way, it is a pattern with [[bounding box]] of the form y×1 for some natural number y. Because of their size restriction, exhaustive computer searches have been carried out to explore one cell thick patterns up to size about 40×1. Despite their inherent limitations, one cell thick patterns can exhibit quite complex behavior, even at reasonably small sizes.		<noinclude>{{Snippet}}</noinclude>A '''one cell thick pattern''' is a [[pattern]] that is only one [[cell]] thick; that is, it is contained entirely within one dimension of the [[Conway's Game of Life\|Life]] plane. Put another way, it is a pattern with [[bounding box]] of the form y×1 for some natural number y. Because of their size restriction, exhaustive computer searches have been carried out to explore one cell thick patterns up to size about 40×1. Despite their inherent limitations, one cell thick patterns can exhibit quite complex behavior, even at reasonably small sizes.

	In May ~~[[:Category:Patterns found in 1998~~\|1998]], [[Stephen Silver]] produced a one cell thick pattern that exhibits infinite growth, following a conjecture of [[Nick Gotts]] that such patterns exist. This pattern was extremely large (12470×1 in the first version, reduced to 5447×1 the following day). In October ~~[[:Category:Patterns found in 1998\|~~1998]], [[Paul Callahan]] performed an exhaustive computer search to find the following pattern that exhibits infinite growth. It is probably the most well-known one cell thick pattern, and Callahan showed that it is the smallest such one cell thick pattern (in terms of its bounding box) to exhibit [[infinite growth]]. It contains 28 alive [[cell]]s and has a 39×1 bounding box.		In May {{year\|1998}}, [[Stephen Silver]] produced a one cell thick pattern that exhibits infinite growth, following a conjecture of [[Nick Gotts]] that such patterns exist. This pattern was extremely large (12470×1 in the first version, reduced to 5447×1 the following day). In October 1998, [[Paul Callahan]] performed an exhaustive computer search to find the following pattern that exhibits infinite growth. It is probably the most well-known one cell thick pattern, and Callahan showed that it is the smallest such one cell thick pattern (in terms of its bounding box) to exhibit [[infinite growth]]. It contains 28 alive [[cell]]s and has a 39×1 bounding box.
	[[Image:Unidimensional_infinite.png\|center]]		[[Image:Unidimensional_infinite.png\|center]]

Spam User: New page: {{Snippet}}A '''one cell thick pattern''' is a pattern that is only one cell thick; that is, it is contained entirely within one dimension of the [[Conway's ...

2009-09-05T13:04:31Z

New page: <noinclude>{{Snippet}}</noinclude>A '''one cell thick pattern''' is a pattern that is only one cell thick; that is, it is contained entirely within one dimension of the [[Conway's ...

New page

<noinclude>{{Snippet}}</noinclude>A '''one cell thick pattern''' is a [[pattern]] that is only one [[cell]] thick; that is, it is contained entirely within one dimension of the [[Conway's Game of Life|Life]] plane. Put another way, it is a pattern with [[bounding box]] of the form y×1 for some natural number y. Because of their size restriction, exhaustive computer searches have been carried out to explore one cell thick patterns up to size about 40×1. Despite their inherent limitations, one cell thick patterns can exhibit quite complex behavior, even at reasonably small sizes.

In May [[:Category:Patterns found in 1998|1998]], [[Stephen Silver]] produced a one cell thick pattern that exhibits infinite growth, following a conjecture of [[Nick Gotts]] that such patterns exist. This pattern was extremely large (12470×1 in the first version, reduced to 5447×1 the following day). In October [[:Category:Patterns found in 1998|1998]], [[Paul Callahan]] performed an exhaustive computer search to find the following pattern that exhibits infinite growth. It is probably the most well-known one cell thick pattern, and Callahan showed that it is the smallest such one cell thick pattern (in terms of its bounding box) to exhibit [[infinite growth]]. It contains 28 alive [[cell]]s and has a 39×1 bounding box.
[[Image:Unidimensional_infinite.png|center]]