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__NOTOC__{{Glossary}}
{{Glossary}}
Any [[oscillator]] used to delete some but not all of the [[spaceship]]s in a stream. An example is the [[blocker]], which can be positioned so as to delete every other [[glider]] in a stream of period 8n+4, and can also do the same for [[LWSS]] streams. Other examples are the [[MW emulator]] and [[T-nosed p4]] (either of which can be used to delete every other LWSS in a stream of period 4n+2), the [[fountain]] (which does the same for MWSS streams) and a number of others, such as the [[pipsquirter 1|p6 pipsquirter]], the [[pentadecathlon]] and the p72 oscillator shown under [http://www.argentum.freeserve.co.uk/lex_f.htm#factory factory].
A '''filter''' is an [[oscillator]] used to delete some but not all of the [[spaceship]]s in a [[stream]]. For example, a [[blocker]] can delete every second [[glider]] in a stream of [[period]] {{nowrap|8''n'' + 4}}, and can also do the same for [[LWSS]] streams. Other examples are the [[middleweight emulator]], [[T-nosed p4]] (either of which can be used to delete every second LWSS in a stream of period {{nowrap|4''n'' + 2}}) and the [[fountain]] (which does the same for MWSS streams).


From [http://www.argentum.freeserve.co.uk/lex_f.htm#filter The Life Lexicon]
Filters can be used to make guns of high periods. For instance, the [[period-20 glider gun]] can be made p40 with a blocker, then p80 with [[Rich's p16]], and even p160 with [[68P32.1]]:
 
{{EmbedViewer
|pname        = p160gun
|viewerconfig = #C [[ MAXGRIDSIZE 9 WIDTH 800 HEIGHT 700 THUMBSIZE 2 ZOOM 8 GPS 20 AUTOSTART KILLGLIDERS ]]
|position    = center
|caption      = p160 glider gun
|style        = width:300px;
}}
 
A smaller, more recent period-160 glider gun uses [[Charity's p16]] as the first filter instead:
 
{{EmbedViewer
|rle          = x = 48, y = 33, rule = B3/S23
20b3o2b2o$14b2o8bobo$14bo10bo$4b2ob3ob2obo8b2o$4bo4bo3bo5b2ob2o$5b3o10bo4bo$8bo10bo4bo$5b3o3bo7bo3b2o$5bo2b2o3b3o4bo$6bo5bobo2bo2b2o$3b3o6bo11bo$3bo8bobobobo4bobo9bo3bo$13b2obobo5bo9bobobobo$15b3o9bob3ob2obobob2ob3obo$27bo2b2obobo3bobob2o2bo$31bobo7bobo2$7b2o11b2o$6bobo11bobo$6bo15bo$5b2o9bo5b2o$10bo6bo$2bo6bobo3b3o$bobo6bo$o3bo$bo3bo7bo17bobo7bobo$2bo3bo5bobo12bo2b2obobo3bobob2o2bo$3bo3bo2b2o2b2o11bob3ob2obobob2ob3obo$4bobo3b2ob2o19bobobobo$5bo3b2ob3o20bo3bo$9b3o14bo$10bobo14bo$11b2o12b3o!
|viewerconfig = #C [[ MAXGRIDSIZE 9 WIDTH 700 HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 16 THEME Book AUTOSTART KILLGLIDERS ]]
|position    = center
|caption      = p160 glider gun
|style        = width:300px;
|apgcode      = gun_160
}}
 
==List of filters==
* Multiple of 4 but not 8, ×2: [[Blocker]]
* Multiple of 8 but not 16, ×2: [[Rich's p16]],<ref group="n">This also applies to filtering LWSS's and MWSS's (of the same phase but with frontends extended forwards by one cell), as shown in the [[RLE:P48lwss|p48 LWSS gun]]</ref> [[Charity's p16]]
* Multiple of 16 but not 32, ×2: [[68P32]]
* Multiple of 32 but not 64, ×2: [[51P384]]<ref name="post160020" />
* Multiple of 5 but not 10, ×2: [[p10 filter]]
* Multiple of 5 but not 15, ×3: [[Karel's p15]]
* Multiple of 15 but not 30, ×2: [[Queen bee shuttle]]<ref>As used in the [[RLE:Period90glidergun|smallest period-90 glider gun]] (note that it is shown in the [[p45 pi-heptomino hassler]] page, which also functions as a period-tripler, but is not a filter because it depends on a temporary block to destroy the second of every pair of gliders between those let through, which (if not destroyed) can otherwise destroy the hassler itself)</ref>
 
==See also==
* [[Period multiplier]]
* [[Sparker]]
 
==Notes==
<references group="n" />
 
==References==
<references>
<ref name="post160020">{{LinkForumThread
|format = ref
|p      = 160020
|title  = Re: Oscillator Discussion Thread
|author = Anivec
|date  = April 3, 2023
}}</ref>
</references>
 
==External links==
* {{LinkLexicon|lex_f.htm#filter}}
__NOTOC__

Latest revision as of 19:04, 4 July 2025

A filter is an oscillator used to delete some but not all of the spaceships in a stream. For example, a blocker can delete every second glider in a stream of period 8n + 4, and can also do the same for LWSS streams. Other examples are the middleweight emulator, T-nosed p4 (either of which can be used to delete every second LWSS in a stream of period 4n + 2) and the fountain (which does the same for MWSS streams).

Filters can be used to make guns of high periods. For instance, the period-20 glider gun can be made p40 with a blocker, then p80 with Rich's p16, and even p160 with 68P32.1:

x = 90, y = 73, rule = B3/S23 35b2o3b2o$37bobo2bo$34bo5b2o$35bob3o$36b2o2b2o2b2o$28b2o5bo2bobo2bobo$ 27bo2bo4b4o2bobo7b2obo$26bo2bo2bo6bo4bo5bobob3o11b2o$23bo2b3o8b2o2b3ob o3bo2bo4bo9bobo$15bob2o4b3o3b2obo4bo6bo5b3o3bobo4b2o2bo$2o11b3obobo6b 2o3bo7bob3o11bob5o2b4o$obo9bo4bo2bo2b2obo10b5o6b8o6bobo$2bo8bobo3b3o3b o3bo8bobo9bo7b3o4b2ob2o$2b2ob3o4bobo9b3o8b2obo11bo2b2o4bob2o2b2obo$4b 2o8b8o4b2ob2o7b2o9b2o2bo14bo$2b2o4b6o3bo3bo9bo5b2o8bo3b4obo5b6o$bobob 4o2bo3bo3bo7bo6bobo13b3o3bo6bo$bo6bo3b2o2bo2b2o7bob2o3bo10bo6bo2b3o2bo 4b2o$2b6o9b2o2bo16b2o6b2obo3bo4bo2b2o3b2o$6bo5b2o3b2o2bo9bo4bo3bo5b2ob obo2b4o$2b2o4bo3b3o3bo2bo9bo4bo3bo5b2o2b4o$2b2o3b2o3bo3b2o2b2o3bo5bo4b o3bo5b2obobo2b4o$12b4o4bobo14b3o6b2obo3bo4bo2b2o3b2o$16b3ob2o4b4o3b3o 10bo6bo2b3o2bo4b2o$12b4o4bobo27b3o3bo6bo$2b2o3b2o3bo3b2o2b2o3bo5bo5bo 9bo3b4obo5b6o$2b2o4bo3b3o3bo2bo9bo6b2o9b2o2bo14bo$6bo5b2o3b2o2bo10bo4b 2o11bo2b2o4bob2o2b2obo$2b6o9b2o2bo26bo7b3o4b2ob2ob2o$bo6bo3b2o2bo2b2o 8bo2bo15b8o6bobo4bo$bobob4o2bo3bo3bo7b3o2b3o7bo12bob5o2b4obo$2b2o4b6o 3bo3bo6b2o2b2o9b2o5b3o3bobo4b2o2bob2o$4b2o8b8o7bo2bo9b2o5bo2bo4bo9bo$ 2b2ob3o4bobo12bobo2bobo15bobob3o9b2o$2bo8bobo3b3o7b2o4b2o16b2obo$obo9b o4bo2bo55bo3bo$2o11b3obobo51bo3bobobobo3bo$15bob2o20b2o28bo5bobobobo5b o$35b2obo2bob2o22b2o2b2obobo3bobob2o2b2o$35bo4bo2b2o27bobo7bobo$39bo 12bo19bobo7bobo$36bobo14b2o$52b2o2$39b2ob2o3b2ob2o$38bo5bobo5bo$43b2ob 2o$41bo7bo$38bo2bob2ob2obo2bo19bobo7bobo$39bo3bo3bo3bo20bobo7bobo$40b 2ob2ob2ob2o11bo4b2o2b2obobo3bobob2o2b2o$41bo2bobo2bo13b2o4bo5bobobobo 5bo$42bobobobo13b2o7bo3bobobobo3bo$43bo3bo28bo3bo17$82bo$83b2o$82b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 WIDTH 800 HEIGHT 700 THUMBSIZE 2 ZOOM 8 GPS 20 AUTOSTART KILLGLIDERS ]]
p160 glider gun
(click above to open LifeViewer)
RLE: here Plaintext: here

A smaller, more recent period-160 glider gun uses Charity's p16 as the first filter instead:

x = 48, y = 33, rule = B3/S23 20b3o2b2o$14b2o8bobo$14bo10bo$4b2ob3ob2obo8b2o$4bo4bo3bo5b2ob2o$5b3o10bo4bo$8bo10bo4bo$5b3o3bo7bo3b2o$5bo2b2o3b3o4bo$6bo5bobo2bo2b2o$3b3o6bo11bo$3bo8bobobobo4bobo9bo3bo$13b2obobo5bo9bobobobo$15b3o9bob3ob2obobob2ob3obo$27bo2b2obobo3bobob2o2bo$31bobo7bobo2$7b2o11b2o$6bobo11bobo$6bo15bo$5b2o9bo5b2o$10bo6bo$2bo6bobo3b3o$bobo6bo$o3bo$bo3bo7bo17bobo7bobo$2bo3bo5bobo12bo2b2obobo3bobob2o2bo$3bo3bo2b2o2b2o11bob3ob2obobob2ob3obo$4bobo3b2ob2o19bobobobo$5bo3b2ob3o20bo3bo$9b3o14bo$10bobo14bo$11b2o12b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 WIDTH 700 HEIGHT 500 THUMBSIZE 2 ZOOM 12 GPS 16 THEME Book AUTOSTART KILLGLIDERS ]]
p160 glider gun
(click above to open LifeViewer)
Catagolue: here

List of filters

See also

Notes

  1. ↑ This also applies to filtering LWSS's and MWSS's (of the same phase but with frontends extended forwards by one cell), as shown in the p48 LWSS gun

References

  1. ↑ Anivec (April 3, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ As used in the smallest period-90 glider gun (note that it is shown in the p45 pi-heptomino hassler page, which also functions as a period-tripler, but is not a filter because it depends on a temporary block to destroy the second of every pair of gliders between those let through, which (if not destroyed) can otherwise destroy the hassler itself)
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