Line crosser: Difference between revisions

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Per Lex
 
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==External links==
==External links==
*[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]
{{LinkLexicon|lex_l.htm#linecrosser}}
{{LinkLexicon|lex_l.htm#linecrosser}}

Revision as of 14:13, 19 August 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.

A line crosser whose complete mechanism is on one side of the line is theoretically possible, using single-channel construction methods for example.