Quadratic sawtooth

Quadratic sawtooth is a sawtooth with a quadratic envelope, assembled by Martin Grant on May 7, 2015, from a design by Alexey Nigin based on a concept from Aidan F. Pierce and input from several other contributors.[1]

Quadratic sawtooth
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 785, y = 785, rule = B3/S23 188bo$188b3o$191bo$190b2o4$199bo$179b2o5b2o9b2obo$179b2o5b2o8bo4bo$ 200bo$183b2o11b4o$183b2o4$206b2o$206b2o2$203b2o5b2o$203b2o5b2o2$219b2o $219b2o$188bo30b2o$188b3o28bo$191bo26bobo$190b2o11bo14bobo$201bobo15bo $202b2o2$216b2o3b2o$203b2o11bobobobo$202bobo12b5o$188b2o14bo13b3o$188b 2o29bo$183b2o$183b2o3$180b2o$180b2o39b2o$221bo$184bo37b3o$183b2o39bo$ 182b3o$182bo$180bo$180bo3b2o$184b2o$181bo$182bo2bo28bo$182b3o30b2o$ 214b2o3$166b2o$165bobo$165bo$164b2o$172b2o$172b2o2$175b2o$175b2o3$172b 2o$172b2o13$244bo$245b2o$244b2o$31b2o3b4o$26b3obo2bo6bo$30bo2bo2b5o$ 30bo2bo$32bo$29bobo17b2o$30bo18b2o3$14bo$14bo$14bo$18bo124b2o8bo$14b3o 2bo37b2o84b2o6b3o5bo$13bo4bo38b2o91bo7bobo$13bo3bo117b2o13b2o8bo$14b3o 119bo$136bobo$24bo112b2o$13bobo7b3o$13bobo7bo2bo117b2o$13bobo7b3o39b2o 77b2o12bo8b2o$13bobo7b3o8bobo28b2o91b3o6b2o$14b2o6bob2obo7b2o124bo$23b o2b3o6bo103bo20b2o13b2o$23b4ob2o108bobo34bo$5b2o3b4o10bob3o110bo33bobo $3obo2bo6bo11b3o144b2o99bo$4bo2bo2b5o10bob2o26bobo217b2o$4bo2bo17bo2bo 26b3o89b2o17b2o106b2o$6bo18bobo27b2o90b2o11bo5b2o$3bobo20bo132bobo$4bo 156bo$58bo113bo$56bobo112bobo$56b3o113bo$59bo$55b5o$163b2o$163b2o$43b 3o6bo$44b2o3b2obo$43b2o5bobo$3b2o43b3obo$3b2o46b2o7$11b2o$11b2o2$29bob o$29b3o$29b2o327b3o$304bo53bobo$305b2o37b3ob4o5bo2bo$19b2o11bo271b2o 29b3o5bo2b2obob2obobob3o$19b2o9bobo301bo2b4o5bobo2bo2bobobob2o$30b3o 301bo3b4ob2ob3o3b3obo3b2o$33bo301b2obo3b2o18bo$29b5o300b3o2bobo20bo$ 335bo17bo9bo$336bo16bo6bo2$27b2o$27b2o230b2o$259b2o3$262b2o$262b2o2$ 259b2o$259b2o$251b2o$252bo$252bobo$253b2o2$122bo$121b4o$120b2ob4o5b2o$ 119b3ob2o3bo3bo2bo125bo$120b2ob2o3bo7bo123b2o18b2o19b2o$111b2o8b5o3bo 6bo6b2o117bo18bo19bo32bo$110bobo9bo3b3o7bo6b2o114b3o19bobo7bobo5bobo5b o27b2o$110bo21bo2bo124bo21b2o6bo2bo5b2o4b3o26b2o$109b2o21b2o145bo9b2o 13bo$277bobo7b2o3bo11b2o$270b2o6b2o9b2o$270b2o18bo2bo$291bobo$267b2o$ 93b2o15bo156b2o$93b2o15bo$110bo$270b2o29b3o$83bo20b2o164b2o28bo3bo$82b obo19bo194bo5bo$70b2o10b2obo8bobo5bobo20bo174bo3bo$70b2o10b2ob2o6bo2bo 5b2o19bobo175b3o$82b2obo6b2o17b2o9bobo11b2o133b3o27b3o$82bobo5b2o3bo 15b3o7bo2bo11b2o135bo32bo2bob2obo2bo$83bo8b2o19b2obo5bobo147bo6b2o5b2o 17b2o2bo4bo2b2o$93bo2bo16bo2bo6bobo153b2o5b2o18bo2bob2obo2bo7bo$94bobo 16b2obo8bo197b3o$104b2o5b3o168b2o38bo$103bobo5b2o149b2o18b2o18bo19b2o$ 103bo199bo$102b2o197b3o16bo$319bobo$318bo3bo$319b3o$259b2o2b3o51b2o3b 2o$255b2o4b2o2bo$255b2o3bo4bo$261bo2bo$262bo46bo$307bobo$308b2o$266b2o $267bo56bo2bo4bo2bo$264b3o55b3o2b6o2b3o$264bo59bo2bo4bo2bo3$340b3o11b 3o$339bo2bo10bo2bo$342bo4b3o6bo5b2o$342bo4bo2bo5bo5bobo$339bobo5bob2o 2bobo8bo$364b2o3$341bo8bo$340b3o5bobo$339b2obo$330bo8b3o4bo2bo$331b2o 7b2o4b3o13b2o$330b2o15bo14bobo$364bo$364b2o3$356b3o$355bo2bo$358bo$ 339bo18bo$337bobo15bobo4b2o$338b2o13bo8bobo$353bo10bo22b2o$351b3o10b2o 21b2o$351bo2$384b2o$333b2o49b2o$333b2o$387b2o$362b2o23b2o$330b2o30bobo 30b2o$330b2o32bo30bo$364b2o27bobo$333b2o58b2o$333b2o22bo$358b2o$357b2o $387bo$387b2o$336bo25b2o22bobo$336b2o24bobo$335bobo26bo$364b2o15bo$ 380b2o3bo$380bobo$376bobo2b2o$316b2o5bo52bobo3bobo$315bobo4b3o52bo6b2o $315bo5b2o2bo$314b2o$361bobo$361b2o5b2o$324b2o25b2o9bo5b2o6b2o$322b3o 25bobo23b2o$323bo9b2o17bo$333b2o36b2o$358bo12b2o$322b2o16b3o14b2o$322b 2o8b3o4bo2bo14bobo8b2o$331bo2bo7bo25b2o7bobo$331b2o9bo33bo4bo$339bobo 34bo4bo$376b2o2$332bob2o40b2o2b2o$332bo2bo5bo34b2o2b2o$332b3o5b3o33b3o bo$339b2obo34bo$339b3o36bo$340b2o2$319bo65b2o$319bobo63bobo$319b2o66bo $316b2o69b2o$315bobo38b3o20b2o$315bo39bo2bo20b2o$314b2o42bo$322b2o34bo 17b2o$322b2o31bobo18b2o$308b2o$308b2o15b2o$325b2o52b2o$379b2o$311b2o$ 311b2o9b2o$322b2o$308b2o$308b2o$300b2o$301bo$301bobo$302b2o5$309b2o$ 308b2o$310bo2$313b3o$312b4o$310b2obo2bo$310b2ob2obo2b2o$311bo7b2o$311b o5bo$312b2o$315bobo15bo$334b2o$327b2o4b2o$319b2o6b2o$319b2o23b3o$344bo $324b2o19bo17b2o$324b2o37b2o$337b2o24b2o$327b2o9b2o23b3o$316bobo8b2o8b 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676b2o$678bo$637b2o58b3o$637bob3o54bo3bo$637bobo5b2o48bo4bo$637bob2o3b 2o48bo2b3o$637bo6b3o28bo19bo$632b2o37b6o22bo$632b2o36bob3ob2o21bo$669b o3b4o3bo18bo$670b3o2bob3obo$674b2ob3ob2o$675b2ob4o$677bo2$640b2o$640b 2o45bo$686bobo$685bo$684bo2bo$677b5o2bo2bo$672b2o3bo6bo2bob3o$672bobo 3b4o3b2o$648b2o22bobo$648b2o22bobo$672bobo3$671b3o$670bo3bo$669bo4bo$ 656b2o10bo2b3o$656b2o11bo$673bo$673bo$673bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] <nowiki></nowiki> <html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> <html></noscript></canvas></div></html>
View static image
Pattern type Sawtooth
Number of cells 3164
Bounding box 785×785
Expansion factor Unknown
Discovered by Martin Grant
Alexey Nigin
Year of discovery 2015

It consists of two caber tossers with CC semi-Snarks (period multipliers) for timing, which activate and deactivate two toggle rake guns.

The gliders emitted by those rakes annihilate on the diagonal while the rakes are eaten by a pair of 2c/5 orthogonal spaceship. All the rakes and gliders are destroyed before the next cycle.

See also

References
  1. Martin Grant (May 7, 2015). Re: Quadratic Sawtooth? (discussion thread) at the ConwayLife.com forums
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