ConwayLife.com

According to this script, the period is a factor of (5^21 -1)/2=238,418,579,101,562 (222,222,222,222,222,222,222 in base 5). I think it's exactly that number, but I can't prove it. Either way, it seems unlikely you could find it with oscar. onestep=[[-1,1],[1,1]] length=98 mod=5 #Because it's a mod ...

No new green things, but I did add 864 more generations: x = 116, y = 86, rule = LifeSuper 5.3S29.O3.2O3.2O6.M3.M33.M2.M.8M.3M.M.3M$7.S28.O.O2.O4.O2.O4.4M.M10.M 21.M2.2M2.2M2.M.M4.M$6.S9.S20.2O3.3O.O.2O6.2M2.2M7.M.M20.M.M2.M.2M.M 3.2M$15.S.S26.O.O11.M2.M7.2M.M4.2M15.M2.M3.2M.M.3M2.M.3M$16.2S8.2O3. 2...

Can anyone get a glider to shoot towards the light blue during the cleanup, if so we could replace that with a crabstreacher plus some gliders to provide a single-glider cleanup. I was never able to get the glider to form though I'm not sure what this means. Are you suggesting that one of the salmo...

This one has an extra 144 generations over Calcyman's, and I rephased the queen bees by 6 generations to compensate (144+6=150=5*30; we don't need to alter the fuses because 144=6*24), allowing for two more pink delays (another 240): x = 112, y = 89, rule = LifeSuper 3S18.8Q20.12Q4.5Q2.Q15.2M15.Q$2....

Compacted and improved (EDIT: one that actually works): x = 112, y = 89, rule = LifeSuper 3M18.8Q20.12Q4.5Q2.Q15.2M15.Q$2.M19.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q 5.Q$M43.2M4.Q4.2Q9.4Q8.2M17.Q2.Q4.Q$45.M4.2Q25.2M19.2Q8.2Q$2.2M41.M.M 8.Q3.M18.M5.2M21.Q.Q$3.M42.2M3.Q.2Q.Q2.M25.2M22.Q$3M48.2Q6.3M3.2M$M6. 2...

p16n (48+16n) gun: x = 63, y = 11, rule = B2cei4aeijnr5ijy6i/S1c2ik3aikny4aenqrt5aknqr6i78 14bo44bo$13bobo42bobo$14bo44bo5$2bo12bo$2o14b2o25bo16bo$2o14b2o23b2o 18b2o$41b2o18b2o! p104 (+32n) helical gun: x = 32, y = 10, rule = B2cei4aeijnr5ijy6i/S1c2ik3aikny4aenqrt5aknqr6i78 14bo$13bobo$14bo5$2o13bo1...

Compacted 112*89 diehard: x = 112, y = 89, rule = LifeSuper 21.8Q20.12Q4.5Q2.Q15.2M15.Q$22.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 44.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$45.M4.2Q46.2Q8.2Q$45.M.M8.Q3.M24.2M21.Q.Q$ 46.2M3.Q.2Q.Q2.M25.2M22.Q$51.2Q6.3M3.2M$40.3O8.2Q12.2M21.2M8.M$31.2Q 6.3O46.2M6.3M4.2M$31.2Q13.pA9.3M3...

My "solution" to the pink area was to not include an eater at all: x = 112, y = 89, rule = LifeSuper 21.8Q20.12Q4.5Q2.Q15.2M15.Q$22.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 44.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$45.M4.2Q46.2Q8.2Q$45.M.M8.Q3.M24.2M21.Q.Q$ 46.2M3.Q.2Q.Q2.M25.2M22.Q$51.2Q6.3M3.2M$40.3O8.2Q12.2M21.2M8....

Also, is the leftover ship a problem? Thanks for catching this. There is still a problem with a tub turning into a boat because of a spark provided by the OTT, so I deleted it. There might still be a way to provide a fifth block-destroyer. Um... that was the problem I was talking about when I said ...

Here we go: x = 112, y = 89, rule = LifeSuper 21.8Q20.12Q4.5Q2.Q15.2M15.Q$22.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 44.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$45.M4.2Q46.2Q8.2Q$45.M.M8.Q3.M24.2M21.Q.Q$ 46.2M3.Q.2Q.Q2.M25.2M22.Q$51.2Q6.3M3.2M$40.3O8.2Q12.2M21.2M8.M$31.2M 6.3O46.2M6.3M4.2M$31.2M13.pA9.3M36.M7.2M$45.pA....

Another 1210 loaves, but unfortunately the LWSS is back: x = 112, y = 89, rule = LifeSuper 21.8Q20.12Q4.5Q2.Q15.2M15.Q$22.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 44.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$45.M4.2Q46.2Q8.2Q$45.M.M8.Q3.M24.2M21.Q.Q$ 46.2M3.Q.2Q.Q2.M25.2M22.Q$51.2Q6.3M3.2M$40.3O8.2Q12.2M21.2M8.M$31.2Q 6....

The first loaf fuse is now much longer. As a bonus, there is a new symmetry: x = 112, y = 89, rule = LifeSuper 21.8Q20.12Q4.5Q2.Q15.2M15.Q$22.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 44.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$45.M4.2Q46.2Q8.2Q$45.M.M8.Q3.M24.2M21.Q.Q$ 46.2M3.Q.2Q.Q2.M25.2M22.Q$51.2Q6.3M3.2M$40.3O8.2Q12...

If we're nominating counters, I think these ones would be great: #N p149262-counter.rle #O Jiaohu Yu, 29 December 2022 #C A p149,262 binary counter. At first it appears to be linear growth, #C but soon it pretends to be a p397 binary counter. #C After about 100k generations it becomes a linear growt...

Here are 3 different fuse lighters with 2 versions of the last one. Thanks! Here are the timings relative to the snake-shillelagh complex: x = 441, y = 846, rule = B3/S23 71bo57bo80bo57bo41bo57bo13bo57bo3$127bobo136bobo$obobo122b2o137b2o97bo $128bo138bo96bo$o3bo359b3o$434bobo$o3bo429b2o$435bo$obobo...

Unfortunately, 112*92 is larger than 10,000, and 112*96 is even larger. Here is a new record, though (it looks a lot like the older pre-fuse diehards): x = 112, y = 89, rule = LifeSuper 21.8Q20.12Q4.5Q2.Q15.2M15.Q$22.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 44.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$45.M4.2Q46.2Q8.2Q$4...

I managed to fit the long hook with tail in: x = 109, y = 91, rule = LifeSuper 18.8Q20.12Q4.5Q2.Q15.2M15.Q$19.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 41.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$42.M4.2Q46.2Q8.2Q$42.M.M8.Q3.M24.2M21.Q.Q$ 43.2M3.Q.2Q.Q2.M25.2M22.Q$48.2Q6.3M3.2M$37.3O8.2Q12.2M21.2M8.M$28.2Q 6.3O46.2M6.3M4...

I got it to work by replacing the problematic tub with a toad and pulling in the OTT. Unfortunately at a expense of two light-green tubs. Can you tell me why the lime-green tubs had to go? This pattern seems to work fine (there are other improvements): x = 107, y = 93, rule = LifeSuper 16.8Q20.12Q4...

A taste of things to come: x = 106, y = 94, rule = LifeSuper 15.8Q20.12Q4.5Q2.Q15.2M15.Q$16.Q4.Q22.Q3.2Q8.2Q.Q.4Q.Q13.2M8.2Q5.Q$ 38.2M4.Q4.2Q9.4Q27.Q2.Q4.Q$39.M4.2Q46.2Q8.2Q$39.M.M8.Q3.M24.2M21.Q.Q$ 40.2M3.Q.2Q.Q2.M25.2M22.Q$45.2Q6.3M3.2M$34.3O8.2Q12.2M21.2M8.M$25.2Q 6.3O46.2M6.3M4.2M$25.2Q13.pA9.3M...

I found it with manual search, I'm afraid. While playing around with different rules to make it the 11th object, I noticed that, in one rule, in generation 5 the three corner cells were forced to be on and it would be easy to make the middle cell turn on as well. But there were some sparks from B4w,...

If you find a rule with minpop 4-cell oscillators and (one or more) minpop 4-cell spaceships which satisfy the rules below, let me know! 11, or 12 counting a c/5d spaceship: x = 43, y = 48, rule = B2-an3enry4c5ak6a7c/S1c2-en3-cny4ciw5c7c 6bo7b2o3b3o3b2o6bo$14b2o4bo5b2o5b2o$32bo4$5b2o6bobo6bo4bo5bo6...

Soups in this one are crazy x = 60, y = 51, rule = B2cei3-ijr4eitz5ijnry6-a/S1c2ci3kqy4ejktwyz5-ay6-in78 obo$bo$obo44$56bobo$55b2ob2o2$55b2ob2o$56bobo! A 402c/3892 spaceship (period doubled 201c/1946) appeared in the above pattern: x = 121, y = 90, rule = B2cei3-ijr4eitz5ijnry6-a/S1c2ci3kqy4ejktwyz...

Glider shuttle made of 2 90-degree reflectors: x = 101, y = 3, rule = B34enq6i8/S023-e4ceqz5e7e 15bobo52bobo19bobo$2o14b2o4b2o31b2o14b2o4b2o14b2o4b2o$2o14bo5b2o31b2o 14bo5b2o14bo5b2o! Glider moving backward (with help): x = 52, y = 18, rule = B34enq6i8/S023-e4ceqz5e7e 2b2o10b2o10b2o10b2o10b2o$2b2o10...

Sierpinski gun: x = 232, y = 206, rule = B3ai4ekqty5cy6cn/S2-c3-ace4ainr5enqry6an78 5b2o13bob2o$5bo14b2obo$6bo$7bobo$8b2o18b2o$29bo$2obo24bo$ob2o21bobo$ 25b2o$38b2o$39bo$38bo$35bobo$35b2o$48b2o$49bo$48bo$45bobo$45b2o$58b2o$ 59bo$58bo$55bobo$55b2o$76b2o2b2o$7b2obo57b2obo5bo2bo$6bo2b2o57bob2o4bo 4bo$4...

Here's a splitter, though it's maybe not in the direction you hoped for: x = 3, y = 8, rule = B34nq5ce6in7c8/S23-e4cqz5e6in7e8 o$b2o$2o4$2o$2o! This is the awful script I used to find it, an ugly hack of Rulesrc. (I had designed it hoping to find a spaceship like the tlife puffer, but it works here)...

Thanks for doing this. I had one suggestion, but since people have started to vote already, it might be too confusing to change them now. I think it would be a good idea to rename #15 (hexagonal neighborhood progress) to "spaceships in hexagonal Life-like rules", or split that off as its own entry. ...