ConwayLife.com

PS: It would be nice if there was a thread dedicated to all kinds of sawteeth, but it appears that every new one needs its own thread. Sure, well I guess I can pull one of my own here, that is a block pulling sawtooth, which happens to have a growth for the maximum population that goes like O(t^1/3...

well, here is some b-to-h hopeful: x = 55, y = 51, rule = LifeHistory 3$20.A$20.3A5.2A$23.A3.B2AB$22.2A4.3B$22.5B2.B2.2B2.2B$24.15BD$23.2A 14BDBD$23.2A3B2D9B3DB$24.B.2B2D11BD$26.14B$27.6B.B$27.5B$20.16B$16. 21B$13.B.22B$12.2AB.18BDB$12.2A20BDB$13.2B.18BD$16.19B$16.21B$15.22B$ 14.26B4.2A2.2A$14.11B2D...

works for me, but the output is the issue, that tub is almost always in the way: x = 69, y = 55, rule = LifeHistory 2$27.3D$27.DBD$26.BDBD$26.5B$26.5B5.B$19.15B.2BA$15.21BA.A$12.B.21B.B A$11.2AB.20B$11.2A21B$12.2B.19B$15.19B$15.21B$14.22B$13.26B4.2A2.2A$ 13.11B2D14B3.A.A2.A$14.11B2D13B5.A.A$13.12BD1...

Here is a proof-of-concept construction, to show that engineered bumpers for periods >= 63 are possible geometrically I guess I should mention that there is this "failed regularizator" that work here: x = 725, y = 305, rule = LifeHistory 95$213.2A$213.A.A2.2B5.2A5.2A$214.A6B3.B2AB3.B2AB$216.5B4.2B5...

periodic h-to-g (with periodic eater-3) x = 42, y = 51, rule = LifeHistory 3$19.A$18.A.A$18.A.A2.A$17.2A.4A$12.2A2.A$12.A2.A.3A.A$13.A.A.A3.3A$ 12.2A.A3.A4.A$15.A3.A.3A$12.4A.2A.2A$12.A5.A$10.A.A2.A$10.2A7.A$20.A$ 14.2A4.A9.A$13.A5.A10.3A$11.3A.A2.A14.A$10.A3.A.A13.4A$11.3A4.2A10.A$ 13.A.2A.2A12.B3A...

YES! STABLE 6X MULTIPLIER Also it makes a nice edge shooter: x = 101, y = 81, rule = LifeHistory 19.A$17.3A$16.A$16.2A$13.5B12.A$12.4B12.3A$11.6B2.B7.A$11.6B.4B5.2A$ 9.14B2.4B$8.9B2AB2AB.3B$8.9B2AB2A.5B$6.23B$5.19B2A5B$4.14BA5B2A6B$4. 10B4ABA13B$4.10BA19B$2.2AB.8BA5B2A6B3.4B$.A.AB3.7B8A2B7.4B$.A5.8...

G4-to-G: x = 143, y = 141, rule = LifeHistory 5$9.C$7.C.C$8.2C61$114.2A$114.A.A$117.A2.2A$112.4A.A3.A$111.A2.A.A.3A $111.2A2.BA.A$115.BABAB3A$98.4B13.2B2A.A2.A$97.6B11.6B2.A.A$97.8B8.4B 6.A.A.2A$98.7B7.6B7.A.A$91.2A4.9B6.6B6.2A.A$92.A5.10B3.8B4.3B.A.2A$ 92.A.AB2.10B2.11B2.B4A2.A$93.2AB.26B.AB2.2A$95...

g-to-ship with dubious usefulness: x = 66, y = 73, rule = LifeHistory 8$37.2A$37.A.A$40.A2.2A$35.4A.A3.A$34.A2.A.A.3A$34.2A2.BA.A$29.A8.BAB AB3A$27.3A8.2B2A.A2.A$26.A10.6B2.A.A$26.2A8.4B6.A.A.2A$11.2A10.5B7.6B 7.A.A$12.A9.4B9.6B6.2A.A$12.A.2A6.5B2.2B3.8B4.3B.A.2A$13.A2.A4.10B2. 11B2.B4A2.A$14.2AB3.2...

Cross posting from the "let's find a g-to-x" thread, here's a G-to-beehive. Partial by me and completion by iNoMed. Partial for a 180-degree reflector, just need to turn an annoying Herschel into the sacrificial object: x = 33, y = 27, rule = B3/S23 17bo$o10b2o3bobo$b2o9bo3bo2bo$2o10bob2obobo$13bob...

close-call failed g-to-g: x = 54, y = 74, rule = LifeHistory $26.2A.2A$27.A.A$22.2A.A5.A.2A$21.A.A.2A3.2A.A.A$20.A2.B2.BA.AB2.B2.A $20.7AB.B7A$24.3B.B.3B$22.3AB.3B.B3A$21.A.BA3BA3BAB.A$21.2A3.BABAB3. 2A$26.BABAB$26.2BA2B$26.2B.2B$26.5B$26.5B.2B$21.2B.11B$20.17B.2B$20. 23B$20.23B$18.25B$17.27B$8.2A5....

Cross posting from the "let's find a g-to-x" thread, here's a G-to-beehive. Partial by me and completion by iNoMed. Solved the reaction in the rightmost column of row 5 using a previously-discovered hyper-edgy beehive eater: x = 22, y = 27, rule = B3/S23 6bo$2o3bobo$bo3bo2bo$bob2obobo$2bobobobob2o$...

Mangos apparently now do FTL travel? x = 5, y = 9, rule = B3/S23 2b2o$bo2bo$o2bo$b2o2$bo$obo$bobo$2bo! It is impossible to travel faster than light, even your example is below that speed; but fastest spaceships travels at c/2, and that is faster (5/6 c or something): x = 18, y = 54, rule = B3/S23 2...

some kind of transparent block I guess (at the very top) x = 41, y = 61, rule = B3/S23 37b2o$15bo21b2o$15b3o$18bo$17b2o9$2o$bo$bobo$2b2o7$30b2o$30b2o7b2o$39b 2o3$18b2o$17bo2bo$18b2o3$34b2o$34b2o10$34bo$32b3o$18bobo10bo$19b2o8bo 2bo$19bo9b4o2$19b2o8b2o$19b2o9bo$13b2o15bob2o$14bo7b2o3b2obo2bo$11b3o 7b...

Just found a new logo for defunct twitter... x = 349, y = 436, rule = LifeHistory 13$55.2A245.2A$56.A245.A$55.A247.A$55.2A11.A221.A11.2A$53.2A2.B8.3A 221.3A8.B2.2A$52.A2.2AB7.A227.A7.B2A2.A$53.A.A.2B6.2A225.2A6.2B.A.A$ 52.2A.A.AB.2BA4B3.2A215.2A3.4BA2B.BA.A.2A$56.2A3BABAB5.A217.A5.BABA3B 2A$57.3BA2B...

Back to sender, sneaky block! x = 72, y = 63, rule = LifeHistory 6$36.2A26.A$36.2A24.3A$61.A$10.A25.4A21.2A$8.A.A24.A3.A$9.2A23.A.2A$31. A2.A.A$30.A.A.A.A$30.A.A.2A$31.A.A$33.A$33.2A9$43.2A$42.A2.A$43.2A3$32. A26.2A$33.A25.2A$31.3A5$31.2C$31.2C3$59.A$57.3A$56.A$54.A2.A$54.4A2$44. 2A8.2A$44.2A9.A$38....

Convoluted 180 degree glider reflector: x = 94, y = 111, rule = LifeHistory 5$36.2A$36.A$30.B2.BA.A$29.3B.B2A$29.5B$20.C6.6B$21.C4.9B$19.3C5.8B$ 28.7B5.A$16.A10.8B3.3A$16.3A6.10B2.A$19.A3.11B.B.2A$18.2A2.2B.14B$18. 19B$20.18B$19.8B.10B$19.19B$17.2AB.17B$16.A.AB2.8B.7B$16.A6.15B$15.2A 7.7B.5B$21.11B....

Yet another boojum reflector style glider reflector mechanism, this time RT90: x = 65, y = 84, rule = B3/S23 7b2o4b2o$6bo2bo4bo$6bobo3bo4b2o$7bob5o4bo$9bo5b3o$8bo3b2obo8bo$4b2obo 3bo2bo7b3o$2bo2bob2o3b2o7bo$2b2obo15b2o$5bo9b2o$5b2o6bo4bo$18bo$3b4o$ 3bo2bo6bo2bo$4bo9b3o$b3o$bo6$50bo$49bobo$47bo2bobo...

What is the point of this thread?!?

Also, eater eater:

and for your dependent circuits I guess: x = 58, y = 66, rule = LifeHistory 4$29.2A$29.A$30.A$17.A11.2A$16.B3A8.B2.2A$15.4B.A7.B2A2.A$14.4B.2A6. 2B.A.A$14.2AB2.4BA2B.BA.A.2A$14.BA5.BABA3B2A$14.BA.AB.2BA2BA3B$16.2AB .3B2A2B$18.9B$18.9B$18.6B3D9.2A$18.6BD3B8.A$17.8BD3B4.BA.A$17.14B2.B 2A$17.17B$18.16B...

Did anyone do systematic searches on the output of this (known) C-to-D? x = 41, y = 34, rule = LifeHistory 28.D$28.3D$31.D$30.2D2$29.2D$29.2D2$38.2A$38.A$36.A.A$17.A18.2A2D$9. 2A5.A.A19.2D$10.A4.2BAB$10.A.AB2.2B$11.2AB.B.6B$13.11B9.B$4.A9.10B7. 5B$3.A.A7.13B3.3B3DB3.2D$3.A.A5.20BD2BDB3.2D$.3A.2A4.1...

I guess the following is a "toggle" block keeper? Well, I guess it is just a b-to-block, that happens to also have a H output. x = 99, y = 84, rule = LifeHistory 5$58.2A$15.2A42.A14.2A$16.A14.2A10.A15.A.AB11.2A$16.A.AB10.B2AB8.A.A 7.A7.2AB.B.3B$17.2AB.2B7.4B8.BA2B4.3A9.7B3.4A$19.5B6.4B9.2B4.A12.7B2....

Even without two of the catalysts, the block regenerates just fine at t=130~. x = 26, y = 32, rule = B3/S23 8b2o$8b2o$16b2o$15bobo3bo$15bo4bobo$14b2o4bobo$19b2ob3o$25bo$19b2ob3o $19b2obo5$bo$2bo$3o9$7b2o$7b2o4$4b2o$4b2o! With the obscene amount of stuff on every flank, there could be something lurk...

I think I posted this in some random place, but I got this fairly compact flip-flop that works with p8: x = 571, y = 529, rule = LifeHistory 52$453.A$452.B3A6.4B$456.A4.4B$449.BA4.2A3.4B$449.2AB7.4B$447.BAB2A4. 6B$447.3A2BA4.4B8.2A$448.BABA.A3.5B7.A$450.A.ABAB2.5B3.BA.A$451.A2B3A 3.5B.B2A$452.2ABA11...

I also did not find anything yet, I guess there is so much you can try by hand... well there is this "fun" extra glider output, but there is not much that can be done with this: x = 143, y = 48, rule = LifeHistory 5$90.B2$92.B$7.B85.B$92.3B$9.B82.4B17.2A4.2A$10.B82.5B.C12.B2A2B.B2AB $9.3B82.6BC12.4B...

This Galumpherian little contraption edgeshoots a honey farm interacting with an unnamed active region. Glider to something is bound to be on the horizon. x = 41, y = 32, rule = LifeHistory .C14.2A4.2A$2BC12.B2A2B.B2AB$3CB12.4B.3B6.2A$.D3B9.6B2.B6.A.A3.A$2D4B 4.2A.12B4.A4.A.A$DBD4B3.A.A13B2.2A4.A.A...