Sawtooth 633

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Sawtooth 633
x = 113, y = 69, rule = B3/S23 40bo$39b4o$38b2ob4o5b2o$9b2o16b2o8b3ob2o3bo3bo2bo$10bo16bo10b2ob2o3bo 7bo$39b5o3bo6bo7bo$40bo3b3o7bo6b2o12b2o$50bo2bo19bo2bo$9bo40b2o20bo15b obo$7bo3bo48bo11bo15bo3bo$7b5o46bobo11bo7bo11bo$6b2o3b2o35b2o6b2o15bo 2bo3bobo10bo5bo$7b5o35bo8b2o17b2o3b2o10bo5b2o$8b3o35bo5bo3b2o30bo3bo$ 9bo36bo5b2o4bobo27bobo$46bo6bo6bo$38b2o7bo$32bobo2bobo8b2o$32b2o3bo21b o$33bo2b2o22b2o$59b2o$10bobo$11b2o22b2o9b2o$11bo22bo2bo7bo2bo$34b3o9b 3o44bo3b2o$37b9o29b2o15bo4b3o$36bo2b5o2bo28bo18b3o3bo$4b2o3b2o25b2o2b 3o2b2o32bo9bo3bob2obob2o$79b2o8b3o6bobo$4bo5bo69bob2obob2o2bo4bo2b3o$ 14bo18bo29bo16bo3b3o3bo8bob2obo$5b2ob2o3bobo18bo29bo15bo5b2o2bo4b6o4b 2o$7bo6bo15bo3bo25bo3bo13bobo4b2o18b2o$o30b4o26b4o6b2o7bo5b2o2bo4b6o4b 2o$3o67b4o6bo3b3o3bo8bob2obo$3bo5b2o59b2ob2o5bob2obob2o2bo4bo2b3o$2b2o 5bo62b2o5b2o8b3o6bobo$10b3o47b2o17bo9bo3bob2obob2o$12bo47bo33b3o3bo$ 48bo9bobo31bo4b3o$47bobo8b2o17b2o14bo3b2o$4b3o30b2o6b2o3bo27bo$3bo3bo 7b2o19bobo7bo3bo27bobo5bobo$14bobo18b3o7b2o3bo28b2o5bo2bo$2bo5bo7bo9bo 7b3o10bobo39b2o8bo$2b2o3b2o17b2o7b3o10bo38bo3b2o5bobo$36bobo50b2o6bob 2o$37b2o47bo2bo6b2ob2o11bo$86bobo8bob2o10b2o$55b2o41bobo$54bobo42bo$ 56bo31bo$88b2o2$83b3o$38bo44bo$36bobo45bo$4b2o3b2o18b2o4bobo14b2o$29bo 4bo2bo14b3o42b2o$4bo5bo24bobo16b2obo6bo33bo$36bobo15bo2bo5b2o21b2o12b 2o6b2o$5b2ob2o28bo15b2obo27bo14b3o6bo$7bo44b3o19bo9bo15b2o$52b2o20b2o 8bo13bo$84bo12b2o$85bo$86b2o$7bo$7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 500 HEIGHT 500 ZOOM 4 ]]
Pattern type Sawtooth
Number of cells 558
Bounding box 113×69
Expansion factor 11
Discovered by Dean Hickerson
Year of discovery 1992

Sawtooth 633 is an orthogonal sawtooth with expansion factor 11 that was found by Dean Hickerson on May 15, 1992. Its population in generation t = 36(11n) - 37 (n ≥ 1), is 7(t+1)/30 + 746, but the population in generation 12(11n) - 51 (n ≥ 1) is only 635 if n is even or 633 if n is odd. It uses a spark from a period-9, speed c/3 orthogonal spaceship (117P9H3V0) that was found by David Bell, to turn a lightweight spaceship into a loaf, which is then pulled back by pairs of lightweight spaceships. When the loaf is pulled all the way back, it gets deleted and the cycle begins again. The deletion is caused by an interaction with a lightweight spaceship and with 3 gliders which would otherwise form a lightweight spaceship.

If something is placed in the path of the c/3 spaceship far away from the guns, it is likely that a loaf will be formed and pulled back when the beam of lightweight spaceships hits the resulting garbage. No matter where the loaf starts, when it reaches the guns it will be deleted by one of 3 different reactions. The block behind the spaceship is used for one of these reactions; it s not needed for the sawtooth pattern itself. The beam of lightweight spaceships will again be released and may eventually form another loaf. The process may be repeated many times until either the lightweight spaceship beam burns through the garbage or the reaction moves upstream and consumes the guns.

Image gallery


Sawtooth 633 evolving though one of its cycles

External links