Sawtooth 1163

From LifeWiki
Jump to navigation Jump to search
Sawtooth 1163
x = 150, y = 219, rule = B3/S23 131b2o$131b2o$61bo$60bobo$43b2o15b2obo68bo$43bobo14b2ob2o8b2o21b2o33b 3o$38b2o6bo13b2obo8bobo21bo33bo3bo$34b2obo2bo2bo2bo13bobo8b3o12bo7bobo 19b2o14bo$34b2o2b2o6bo8bo5bo8b3o8b2o3b4o4b2o20b2o11bo5bo$43bobo7bobo 15b3o8b2o3b4o11bo10b2o6bo3b2o2bo5bo$43b2o9b2o16bobo2b2obob2o3bo2bo11bo bo7b3o5bo3bobo3bo3bo$73b2o2b2obobo4b4o14b2o6b2o6b5o5b3o$79b2obo3b4o15b 2o9b2o4b3o$86bo18b2o9b2o$93b2o7bobo$92bobo7bo11bo$62b2o8bo19bo19bobo$ 61b2ob2o4b2o19b2o20b2o$31b2o38b2o24b2o4bo4b2o$32bo30bo32bo2bobo3bobo2b o19bo$32bobo29bob2o28b3o9b3o19bobo$33b2o30bo33b2o5b2o22b2o$98bo2b5o2bo 12bo$98b2o7b2o13bo$4b2o114b3o$3b2ob3o122b2o3b2o$4b5o23b2o28b2o28b2o29b o$5b3o23b4o26b4o26b4o11b2o14bo9bo3bo$18b3o9b2ob2o25b2ob2o25b2ob2o10b2o b2o9bo2b3o8b3o$17b5o9b2o28b2o28b2o13b4o8b2o13b3o$4b5o7b2ob3o85b2o9bobo $4bo6bo5b2o38bo$4bo6bo43b2o$5bo5bo44b2o$7bo125b2o$133b2o$83b2o41b2o$6b 2o75b2o40b2o$5b2ob4o60b2o6b2o10bo4bo29bo9bo$6b6o42bobo15b2o5b3o10bo4bo bo35bobo$7b4o46bo22b2o10bo7b2o21b2o9bobo11b2o$41b2o10bo4bo2b2o5b2o13b 2o2b2o11b2o4b2o15b3o7bo2bo11b2o$40bobo10b2obo2bob2o4b2o14b2o2bo2b2o8b 2o4b2o6b2o9b2obo5bobo$42bo14b2o10bo18b4o5bobo14bo5bo4bo2bo6bobo$89bo7b o21bo5b2obo8bo$65b2o48bo3bo3b3o$64bo2bo49bo5b2o$67bo$67bo12bobo$40b2o 22b2obo12b2o$40b2o22b2o15bo$40b2o35b2o$40bo36b2o$39bobo23b2o$39bob2o 22b2o$56b3o$26b2o4bobo21bo26b2o9b2o$25bobo12b2o15bo24b2o9bobo$27bo4b5o 3b2o35bo6bo7b3o4b2ob3o$33b3o40bobo12b3o4bo2b4o$34b2o33b2o3b2o3bo12b3o 4b2o$69b2o3b2o3bo13bobo$9bo8b2o54b2o3bo14b2o$7bobo6bo2bo56bobo$2o4bobo 7bo3bo2b2o17bo34bo$2o3bo2bo7bo2b2o2b3o15b2o10b2o$6bobo16b2obo12bobo9b 2o$7bobo4b3o8bo2bo7b2o12b2o6bo3b2o$9bo15b2obo5bo3bo10b3o5bo3bobo$23b3o 7bo5bo10b2o6b5o$23b2o7b2obo3bo13b2o4b3o$33bo5bo13b2o$20bo13bo3bo$20b3o 13b2o$23bo45b2o$22b2o45b2o3$25bo43b3o10bo$7b2o14b2ob2o42b2o5b4obo$7b2o 58b2o8bobob2o$22bo5bo38b3o9bo$68bobo7b2o$22b2obob2o40b2o2$72bo13b3o$ 72b2o12bo$71bobo13bo9bo$7bo88bobo$6b3o75bobo8bob2o10b2o$5b5o48b2o24bo 2bo6b2ob2o10b2o$4b2o3b2o46b3o3b2obo20b2o6bob2o$54bob2o5bo3bo2bo14bo3b 2o5bobo$54bo2bo4bo4bo2b2o15b2o8bo$54bob2o4b4o5b2o11bo2bo$8bo15b2o3b2o 18b2o6b3o3bo7b3o10bobo$7b2o15bo5bo17bobo7b2o11b2o$48bo21b2o$5bo19bo3bo 17b2o21bo$4bobo19b3o$3bo3bo$4b3o$2b2o3b2o2$24b2o$25bo$22b3o$22bo4$2b2o 8bo$3bo6b3o$3o6bo$o8b2o9$5b5o$4bob3obo$5bo3bo$6b3o$7bo2$10bo$9b2o4$6b 2obob2o$6bo5bo$7bo3bo$8b3o8$10bo$9b2o6$92b2o$92b2o3$75bo$74bobob2o$76b o2b2o2bo$79bo2b3o$73bo2bo2b4ob2o14b2o$74bobo5b3o15b2o$71bo3bo7bo$68bo 3bo$67bo5bo$68b2ob2o2$68bo$68b4o36b2o$69bobo36b2o$71bo$70b3o$69b2ob2o$ 70b3o$71bo5$87b3o20b5o$87bo22b2obo$88bo22b3o$49bo61b2o$48bobob2o57bo$ 50bo2b2o2bo52bobo$53bo2b3o51b2o$47bo2bo2b4ob2o49bob3o$48bobo5b3o51bo3b o$49bo7bo51bo3bo$113b3o$46b2o33bo29b2o$46b2o31b2obo28b2ob2o$70bobo6b2o 2bo9b3o17bo$70bo2bo6b2o3b3o6bo2bo$69bo3b2o8b4obo9bo$69bo12b4o2bo6bobo$ 83bo$69bo2b3o$54b2o13b2o$54b2o15b3o$71b3o25bobo$92b2o3b2obo$92b5ob2o3b 2o$70bo18bo2bob2obobo3b2o$69bobo16bo4b2o4bob2o2bo$72bo11b4obo10bobobo$ 62b2o3bo4bo11b2ob3o12bobo$62b2o2bo5b2o11b3o$72bo12b2o$67b2o2b3o11bo$ 72b2o10bobo$84b2o$83bob3o$84bo3bo$69bo2bo10bo3bo$70b2o15b3o$85b2o$85b 2ob2o$87bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Pattern type Sawtooth
Number of cells 1249
Bounding box 150×219
Expansion factor n/a
Discovered by David Bell
Year of discovery 1992

Sawtooth 1163 is an orthogonal sawtooth with external timing so that its repeated minimum population generations don't come quite at fixed exponential gaps like most sawtooths. It was found by David Bell on October 27, 1992. Its minimum repeating population is 1163.

This sawtooth works by sending blinker puffer 1, a period 8 blinker puffer found by Robert Wainwright westward. A glider bounces between a fixed reflector in generations 480(2n) - 701 (n ≥ 1) and a southeastward Cordership in generations 720(2n) - 661 (n ≥ 1). Each bounce from the fixed reflector releases a salvo (formed in generations 480(2n) - 310 (n ≥ 1)) consisting of a middleweight spaceship and two lightweight spaceships aimed toward the line of blinkers. The salvo hits the nearest blinker in generation 2400(2n - 880n - 3115 (n ≥ 1), causing a blinker fuse to form and burn at 2c/3 (another salvo, present in the initial pattern, hits the blinker line in generation 5). When the decay catches up to the puffer, a new line of blinkers starts to form in generations 3840(2n) - 880n - 3760 (n ≥ 0).

When the salvo hits the blinker line, the total population is large (about 180(2n) in generations around 2400(2n). In generation 2400(2n) - 880n - 3115 there are 60(2n) - 29 blinkers. When the decay catches up with the puffer, the population is bounded below 1200 in generations around 3840(2n) - 880n. More specifically, if n = 0 then the population reaches a low of 1158, if n = 1 (mod 3) then the population reaches a low of 1183, if n = 2 (mod 3) then the population reaches a low of 1163, and if n ≥ 3 and n = 0 (mod 3) then the population reaches a low of 1187.

Image gallery

See also

External links