Line crosser: Difference between revisions

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Definition from Lexicon Release 30. Yeah, I know, people aren't supposed to write LifeWiki articles on their own discoveries, but "line crosser" was there already...
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An [[input glider]] can arrive at any multiple of 44160 generations to first cut the line, then send a glider through the gap, and finally mend the line while leaving an output glider on the other side.
An [[input glider]] can arrive at any multiple of 44160 generations to first cut the line, then send a glider through the gap, and finally mend the line while leaving an output glider on the other side.


A line crosser whose complete mechanism is on one side of the line is theoretically possible, using [[single-channel]] construction methods for example.
In [[:Category:Patterns found in 2018|2018]], using variants of the reactions shown in [[line-cutting reaction]] and [[line-mending reaction]], [[Dave Greene]] built a smaller [[stable]] line crosser that can accept gliders with any timing, as long as they are separated by 501 or more ticks.


==External links==
==External links==
*[http://www.conwaylife.com/forums/viewtopic.php?p=4838#p4838 David Bell's periodic line crosser]
*[http://www.conwaylife.com/forums/viewtopic.php?p=4838#p4838 David Bell's periodic line crosser]


*[http://conwaylife.com/forums/viewtopic.php?p=11506#p11506 forum discussion of non-periodic (asynchronous) line crosser]
*[http://conwaylife.com/forums/viewtopic.php?f=2&t=3508 forum discussion of asynchronous (stable) line crosser]
{{LinkLexicon|lex_l.htm#linecrosser}}
{{LinkLexicon|lex_l.htm#linecrosser}}

Revision as of 02:03, 12 September 2018

A line crosser is a pattern which is able to send a signal across an infinite diagonal line of live cells without destroying the line. David Bell built one such pattern in August 2006. It uses many one-shot period 44160 glider guns on both sides of the line having the proper synchronization to create the reactions shown in line-cutting reaction and line-mending reaction.

An input glider can arrive at any multiple of 44160 generations to first cut the line, then send a glider through the gap, and finally mend the line while leaving an output glider on the other side.

In 2018, using variants of the reactions shown in line-cutting reaction and line-mending reaction, Dave Greene built a smaller stable line crosser that can accept gliders with any timing, as long as they are separated by 501 or more ticks.