Sawtooth 362

Sawtooth 362
x = 168, y = 306, rule = B3/S23 13b2o$13bo2bo2$17bo2$15b2o$14bo3$11b2o3b2o$11b2o3b2o$12b5o$13bobo2$13b 3o2$2bo6bo$b2o6b2o$3o6b3o$b2o6b2o$2bo6bo103$141b2o$141bobo$132b2o2b2o 6bo11bobo$132b2obo2bo2bo2bo10bo2bo4bo$136b2o6bo9b2o5b2o$141bobo8b2o3bo 8b2o$141b2o11b2o10b2o$146bo8bo2bo$144b2o10bobo$131b2o12b2o$131bobo$ 131bo4$137bobo$137b2o$138bo3$126b2o$126bobo$117b2o2b2o6bo11bobo$117b2o bo2bo2bo2bo10bo2bo4bo$121b2o6bo9b2o5b2o$126bobo4b2o2b2o3bo8b2o$126b2o 11b2o10b2o$131bo8bo2bo$129b2o10bobo$130b2o$108bobo2bobo$104b2obo2bo2bo 2bob2o$108bobo2bobo2$136b3o$135bo3bo$134bo5bo2$133bo7bo$133bo7bo2$134b o5bo$135bo3bo$136b3o68$46b2o$46b2o$50b2o$51b2o$51bo$51b2o$50b2o2$38b2o 11bo$38b2o9b3o$52bobo$50bo3b2o$54bo2$50b3o2$30b2o$30b2o4$65bo$64b3o$ 34bo$22b2o5b3obob4o23bo3bo4bobo$22b2o8b2obo26bo4b2ob5o$30b2o4b2obo22bo 2bobo2bo3bo$41bo25bo$39b2obob2o30b2o$41b2obo32b2o$43bo33bo$77b2o$76b2o $46bo$43b3ob2o28bo$41b2ob3o28b3o$45bo32bobo$23bo52bo3b2o$44bo35bo$18bo b2o22bo$18bobo6bo16bo31b3o$17bo4b2o3bo14bobo$18bo8bo15bo$18bo7bo$31b3o $22bo9b2ob2o$32b2obo9bo38b2o$32bobo10b2o37b2o$32bobo11bo$33b2o8bobo$ 35bo6bo2bo$32bobo7bobo$31bo10bobo$43bo$76b2o$33bo3bo38b2o$29bo3bo$35bo $34b2o2$31b2ob2o$33bo$68b2o$49bo18b2o$58b3o$44bob2o10bobo$44bobo6bo2b 2o2bo$43bo4b2o3bo2b3o$44bo8bo2b3o$44bo7bo2$48bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 ]]
View static image
Pattern type	Sawtooth
Number of cells	418
Bounding box	168 × 306
Expansion factor	4
Discovered by	David Bell
Year of discovery	1992
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3/S23 only
Pattern files Plaintext sawtooth362.cells RLE sawtooth362.rle

Sawtooth 362 is a diagonal sawtooth with expansion factor 4 that was found by David Bell on August 29, 1992. Its population in generation 960 (4ⁿ) − 1852 (n ≥ 1) is 362, though its population reaches unbounded levels between those generations.

This sawtooth works by having a period 960 gun send gliders southwest. Some are deleted and the rest reflect off the back of a 7-engine Cordership. Each returning glider deletes 2 outgoing ones.

Gallery

• 

  The number of alive cells plotted versus the number of elapsed generations roughly forms an ever-increasing sawtooth graph.

The pattern

x = 168, y = 306, rule = B3/S23 13b2o$13bo2bo2$17bo2$15b2o$14bo3$11b2o3b2o$11b2o3b2o$12b5o$13bobo2$13b 3o2$2bo6bo$b2o6b2o$3o6b3o$b2o6b2o$2bo6bo103$141b2o$141bobo$132b2o2b2o 6bo11bobo$132b2obo2bo2bo2bo10bo2bo4bo$136b2o6bo9b2o5b2o$141bobo8b2o3bo 8b2o$141b2o11b2o10b2o$146bo8bo2bo$144b2o10bobo$131b2o12b2o$131bobo$ 131bo4$137bobo$137b2o$138bo3$126b2o$126bobo$117b2o2b2o6bo11bobo$117b2o bo2bo2bo2bo10bo2bo4bo$121b2o6bo9b2o5b2o$126bobo4b2o2b2o3bo8b2o$126b2o 11b2o10b2o$131bo8bo2bo$129b2o10bobo$130b2o$108bobo2bobo$104b2obo2bo2bo 2bob2o$108bobo2bobo2$136b3o$135bo3bo$134bo5bo2$133bo7bo$133bo7bo2$134b o5bo$135bo3bo$136b3o68$46b2o$46b2o$50b2o$51b2o$51bo$51b2o$50b2o2$38b2o 11bo$38b2o9b3o$52bobo$50bo3b2o$54bo2$50b3o2$30b2o$30b2o4$65bo$64b3o$ 34bo$22b2o5b3obob4o23bo3bo4bobo$22b2o8b2obo26bo4b2ob5o$30b2o4b2obo22bo 2bobo2bo3bo$41bo25bo$39b2obob2o30b2o$41b2obo32b2o$43bo33bo$77b2o$76b2o $46bo$43b3ob2o28bo$41b2ob3o28b3o$45bo32bobo$23bo52bo3b2o$44bo35bo$18bo b2o22bo$18bobo6bo16bo31b3o$17bo4b2o3bo14bobo$18bo8bo15bo$18bo7bo$31b3o $22bo9b2ob2o$32b2obo9bo38b2o$32bobo10b2o37b2o$32bobo11bo$33b2o8bobo$ 35bo6bo2bo$32bobo7bobo$31bo10bobo$43bo$76b2o$33bo3bo38b2o$29bo3bo$35bo $34b2o2$31b2ob2o$33bo$68b2o$49bo18b2o$58b3o$44bob2o10bobo$44bobo6bo2b 2o2bo$43bo4b2o3bo2b3o$44bo8bo2b3o$44bo7bo2$48bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 4 ANGLE 90 WIDTH 1300 HEIGHT 800 ]]

(click above to open LifeViewer) RLE: here Plaintext: here

See also

• Glider loop

External links

• Dean Hickerson. "Sawtooths based on bouncing spaceships". Dean Hickerson's Game of Life page. Retrieved on May 16, 2022.
• Sawtooth 362 at Paul Callahan's Page of Conway's Life Miscellany