# Difference between revisions of "Period multiplier"

m (→External links: add link to period-multiplier collection thread) |
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{{EmbedViewer | {{EmbedViewer | ||

|position = center | |position = center | ||

− | |pname = | + | |pname = nw31periodquadrupler |

|caption = An NW31 4x period multiplier. | |caption = An NW31 4x period multiplier. | ||

|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 640 HEIGHT 640 ]] | |viewerconfig = #C [[ THUMBSIZE 2 WIDTH 640 HEIGHT 640 ]] | ||

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{{EmbedViewer | {{EmbedViewer | ||

|position = center | |position = center | ||

− | |pname = | + | |pname = l112periodquadrupler |

|caption = An L112 4x period multiplier. | |caption = An L112 4x period multiplier. | ||

|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 640 HEIGHT 640 ]] | |viewerconfig = #C [[ THUMBSIZE 2 WIDTH 640 HEIGHT 640 ]] | ||

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{{EmbedViewer | {{EmbedViewer | ||

|position = center | |position = center | ||

− | |pname = | + | |pname = fx70periodquadrupler |

|caption = An Fx70 4x period multiplier. | |caption = An Fx70 4x period multiplier. | ||

|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 640 HEIGHT 640 ]] | |viewerconfig = #C [[ THUMBSIZE 2 WIDTH 640 HEIGHT 640 ]] | ||

}} | }} | ||

− | Also see the [[L156]] for a period-doubling | + | Also see the [[L156]] for a period-doubling variant of that conduit. |

− | See [[semi-Snark]] and [[tremi-Snark]] for additional examples using [[glider stream]]s. As of | + | See [[semi-Snark]] and [[tremi-Snark]] for additional examples using [[glider stream]]s. As of March {{year|2019}} no [[stable]] period-multiplying [[elementary conduit]]s are known for a multiplication factor of five or higher, though it is easy to construct [[composite conduit|composite]] ones. |

==External links== | ==External links== | ||

{{LinkLexicon|lex_p.htm#periodmultiplier}} | {{LinkLexicon|lex_p.htm#periodmultiplier}} | ||

*[http://www.conwaylife.com/forums/viewtopic.php?p=7985#p7985 conwaylife.com forums period-multiplier collection thread] | *[http://www.conwaylife.com/forums/viewtopic.php?p=7985#p7985 conwaylife.com forums period-multiplier collection thread] |

## Revision as of 21:02, 2 April 2019

**Period multiplier** is a term commonly used for a pulse divider, because dividing the number of signals in a regular stream by *N* necessarily multiplies the period by *N*. The term "period multiplier" can be somewhat misleading in this context, because most such circuits can accept input streams that are not strictly periodic.

Reactions have also been found to period double or period triple the output of some rakes to create high-period rakes in a relatively small space (i.e., an exponential increase in period for a linear increase in size).

For Herschel signals and glider guns, a number of small period doubler, tripler, and quadrupler mechanisms are known. For example, the following conduit produces one output glider after accepting four input B-heptominoes, or four Herschels if a conduit such as F117 is prepended that includes the same BFx59H converter.

An NW31 4x period multiplier. (click above to open LifeViewer)RLE: here Plaintext: here |

An L112 4x period multiplier. (click above to open LifeViewer)RLE: here Plaintext: here |

An Fx70 4x period multiplier. (click above to open LifeViewer)RLE: here Plaintext: here |

Also see the L156 for a period-doubling variant of that conduit.

See semi-Snark and tremi-Snark for additional examples using glider streams. As of March 2019 no stable period-multiplying elementary conduits are known for a multiplication factor of five or higher, though it is easy to construct composite ones.