Sawtooth 562

Sawtooth 562 is an orthogonal sawtooth with expansion factor 6 that was found by Dean Hickerson and Tim Coe on August 14, 1992. Its population in generations t near 28(6n) is about t/5 if t is odd and about 3t/20 if t is even. However, its population in generation 14(6n) - 84 (n ≥ 2) is only 562. Even more specifically, the population in generation t = 28(6n) + 12 (n ≥ 1) is 3t/20 + 555, which drops to t/5 + 599 in the next generation.

Sawtooth 562
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 114, y = 74, rule = B3/S23 50b2o21bo$51bo19bobo$51bobo8bo2b2o3bobo$52b2o7b2o2bo3bo2bo14b2o$60b2o 8bobo14bobo$47bo11b3o9bobo16bo11bobo$45bobo12b2o11bo13bo2bo10bo2bo$35b 2o6b2o16b2o27bo9b2o$34bo8b2o17bo24bobo8b2o3bo9bo$33bo5bo3b2o42b2o11b2o 10b2o$23bo9bo5b2o4bobo7b2o44bo2bo$23b2o8bo6bo6bo7bobo44bobo$34bo22bo$ 35b2o20b2o8$29bobo$29bo2bo$20b2o10b2o11b2o$20bo9bo3b2o8bobo$32b2o9bo$ 29bo2bo10bo2bo$29bobo11bo$44bobo5b2o$2o23bo19b2o5bobo$bo23bobo26bo$bob o4b2o18b2o4b2o18b2o$2b2o6bo17b2o5bo$11bo16b2o$11bo13bobo$11bo13bo$10bo $8b2o54bo$3b2o56bo3b2o$3bo56b2o2bo$60b2o$61bo$61b2o$61bo$62bo$34b2o2b 3o2b2o11b2o4b3o$34bo2b5o2bo10bobo3bo$2obob2o28b9o11bo4b2o3bo$o5bo25b3o 9b3o7b2o4b2o$bo3bo26bo2bo7bo2bo14bob2o$2b3o3bo24b2o9b2o14b2ob2o$8b2o 40b2o7bo3bo$7bobo40bo10bobob2o$43bo4bobo10bo3bo$32bo9bobo3b2o15bo$26bo bo2b2o9b2obo16bobo$25bo2bo2bobo8b2ob2o14bo$24b2o16b2obo14b3o$5bo16b2o 3bo14bobo$5bo18b2o17bo18bo$4bobo11b2o5bo2bo33bo2bo$3b2ob2o9bobo6bobo 31b2o2b2o$2bo5bo8bo21bo25bo$5bo10b2o20b2o$2b2o3b2o18b2o8b2o4b2o5bo$27b o8b3o4b2o3bobo29bo$37b2o4b2o2bobo30bobo$38b2o6bo2bo16b2o15b2o4b2o$39bo 7bobo16bo16b2o5bo$48bobo12b2o18b2o$50bo11b3o15bobo$63b2o15bo$6bo59bo$ 5b2o59b2o! #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 415
Bounding box 105×74
Expansion factor 6
Discovered by Dean Hickerson
Tim Coe
Year of discovery 1992

It works by using a spark from a period-4, speed c/4 orthogonal spaceship, found by Tim Coe, to turn one lightweight spaceship into a loaf, which is then pulled back by subsequent pairs of lightweight spaceships (see tractor beam). When the loaf is pulled all the way back, it gets deleted and the cycle begins again.

  • The number of alive cells plotted versus the number of elapsed generations roughly forms an ever-increasing sawtooth graph.
gollark: <@288568024498438145> It's less horribly resource intensive and has a built in mods API.
gollark: Bedrock Edition is waaay better for that, but also wrecks moddability and has many other antifeatures.
gollark: It seems to be the case that Java Edition is just horribly technically unsound.
gollark: I mostly agree. Not sure whether it's just being used to Minecraft, not having any of the various available UI enhancement or whatever mods, or just it being badly designed, but it does seem worse somehow.
gollark: Anyone interested in Mine*test*, an open-source Minecraftish game? I could probably host a server for that. I have to admit it's definitely not as polished, but there seem to be some good mods around for it.https://www.minetest.net/
This article is issued from Conwaylife. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.