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 ]]
#C [[ THUMBSIZE 4 ]]
View static image
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.
The pattern 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 ]]
#C [[ THUMBSIZE 2 ZOOM 4 WIDTH 800 HEIGHT 1000 ]]
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The number of alive cells plotted versus the number of elapsed generations roughly forms an ever-increasing sawtooth graph.
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