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praosylen

About mathematical facts - I already replied several times that CGOL is somewhere between Art and Software. That seems like a perfectly reasonable position. I certainly won't disagree with that. If you won't disagree here, I will. To me the clearest evidence is the nature of our community itself. T...

praosylen

This old catalyst by (probably) gmc_nxtman seems worth mentioning: rle I don't recognize the input. (It appears to be an R-turner predecessor, but there are many of those.) Does it work on anything more common? This is something people seem to nearly invariably miss when I post unfamiliar catalysts...

praosylen

This old catalyst by (probably) gmc_nxtman seems worth mentioning:

Code: Select all

x = 10, y = 15, rule = B3/S23
3bo2bo$3b4o$b2o4b2o$o3b2o2bo$b3ob3o2$3b2ob4o$3b2obo2bo2$4bo$4b2o$4b3o
$6b2o$6bo$5b2o!

praosylen

This pattern is eight cells, in a D8_1-symmetric way, away from being a p38 oscillator, and frustratingly, there's absolutely no hope of fixing it: How exactly did you find it? I'm afraid there aren't any fancy new tools — just a catalyst by Kazyan I've been manually messing around with occasionall...

praosylen

This pattern is eight cells, in a D8_1-symmetric way, away from being a p38 oscillator, and frustratingly, there's absolutely no hope of fixing it: x = 49, y = 49, rule = B3/S23 17b2o11b2o$16bo2bo9bo2bo$16b3o11b3o$19b3o5b3o$14b4o4bo3bo4b4o$14bo2bo b3o5b3obo2bo$15bo3bo9bo3bo$14b2obo13bob2o$15bob2o11b...

praosylen

p20 x = 30, y = 46, rule = B3/S23 23bo$22bobo$22bobo$21b2obob2obo$20bo3bobob2o$20b2ob2o$20bo4bo$19bo2bob 2o$20bo$21b5o$26bo$9bo11b5o$9b3o8bo$12bo6bo2bob2o$11b2o7bo4bo$20b2ob2o $20bo3bobob2o$8bo12b2obob2obo$10b3o3b3o3bobo$8bo13bobo$14bo8bo$13bobo$ 16bo$13bo$14bobo$6bo8bo$5bobo13bo$5bobo3b3o3b3o$ob2o...

praosylen

That's a component. x = 34, y = 27, rule = Life o2bo$4o2$2b2o$2b2o$8bo$7bobo$2bo4bobo$2bo5bo$2bo8b3o$24bobo$bo22b2o$o bo22bo$bobo$2bo4b2o$6bobo$6b2o5$26b2o4bo$25b2o4b2o$13bo13bo3bobo$12bo bo$12bo2bo$13b2o! And reduced a bit: x = 14, y = 18, rule = B3/S23 o2bo$4o2$2b2o$2b2o$8bo$7bobo$2bo4bobo$2bo5bo...

praosylen

P32, 64 cells (crossposted, credit to hotdogPi and me):

Code: Select all

x = 33, y = 16, rule = B3/S23
5b2o18bo$4bo2bo15b3o$5bo2bo13bo$bo6bo13b2o$obo3bo2bo21b2o$b2o3b3o20bo
b2o$28bo$b2o3b3o9bobo10bo$obo3bo2bo9bob2o4b2obo$bo6bo9bobo6b2o$5bo2bo
$4bo2bo$5b2o2$13b2o$13b2o!

praosylen

More-accessibly-sparky p32 monomerization: x = 33, y = 16, rule = B3/S23 5b2o18bo$4bo2bo15b3o$5bo2bo13bo$bo6bo13b2o$obo3bo2bo21b2o$b2o3b3o20bo b2o$28bo$b2o3b3o9bobo10bo$obo3bo2bo9bob2o4b2obo$bo6bo9bobo6b2o$5bo2bo $4bo2bo$5b2o2$13b2o$13b2o! EDIT: apparently this is now the new smallest p32 by populat...

praosylen

Crossposting p16 and p18 variants to the p14 drifter cycle billiard table using a variant catalyst that might be by DRH (it was most recently mentioned by Kazyan and it feels familiar but I don't remember where I last saw, so it might also be new by them): x = 41, y = 26, rule = B3/S23 26b2o$26bo4b2...

praosylen

Here's an odd interaction. These two catalysts are usually identical, but one of them is a bit more theatrical about how it recovers, which allows it to modify this particular input with a thumb-like protrusion on the right tick: x = 45, y = 20, rule = LifeBellman 6.5A25.5A$7.3A27.3A$8.A29.A2$8.2A2...

praosylen

Bouncing p8 rle A galactic reduction: x = 29, y = 28, rule = LifeHistory 21.A2BA.2B$19.BA4B.2B$17.B2A6B.B$15.A6B2ABA$15.3BA.2BA.BAB$15.3B3ABA3B A$15.A5B.5BA$9.C6.A3BAB3A3B$10.2C4.BAB.A2B.A3B$9.2C6.AB2A6BA$17.6B2AB $18.4BAB$17.BA2BA$17.B.B$18.B2.3B$21.BA2B$17.B.2B3A$17.3B3ABA$20.BA2B .AB$11.2A9.A3BA...

praosylen

A p72 gun using a blinker-to-glider reaction of hotdogPi's with their new p18 sparker: x = 41, y = 42, rule = B3/S23 19b2o$19bobo$21bo$17b4ob2o2b2o$17bo4bobo2bo$15b2o2b2obob2o$14bo2b2o3b obo$13bob2o2b2obobo$13bo4bo4bo$14b3obob3o$16b2ob2o$5bo3b2o$bo2bobobo2b o$b4obob2obo$6bo2bob2o$b2ob2obo4bo$o2bobob...

praosylen

I've modified my program again despite not being done with the previous search. Here's a complete p18 sparker (!). x = 28, y = 25, rule = B3/S23 19b2o$19bobo$21bo$17b4ob2o2b2o$17bo2bobobo2bo$15b2o4b2ob2o$14bo2b4obob o$13bob2o2bob2obo$13bo4bo4bo$14b3o3b3o$16bobobo$5bo3b2o6b3o$bo2bobobo 2bo$b4obob2ob...

praosylen

p45; the blocks are to suppress other blocks; move the catalyst and you'll have more room, or you can try to squeeze a p5 in there. x = 22, y = 37, rule = B3/S23 7b6o$6bo6bo$5bo8bo$6bo6bo$7b6o5$8b2o$4bob2obo$6b2o$6b2obo$2o6b2o$2o8$ 20b2o$12b2o6b2o$12bob2o$14b2o$12bob2obo$12b2o5$9b6o$8bo6bo$7bo8bo$8...

praosylen

unrelated p126; both sparkers already work, but it leaves four beehives that need to be deleted x = 63, y = 66, rule = B3/S23 32b2o$28b2obobo$29bobo$29bo2bo$28b2obobob2ob2o$27bo3b2o3bobo$28b3o5bob o$31b5obo$28b2o$27bob2o2b7o$27bo11bo$28b3ob4obo$30b9o$39bo$38b2o2$49b 2o$49bobo$2b2o47bo$2bobo46b2o$4b...

praosylen

p128, complete rle Related p125: x = 55, y = 47, rule = B3/S23 40b2o$36b2o2bo$35bo2bobo$31b2obobobob2o$31bob2obobobo$42bo$32b4obob3o bo$31bo4b3o4bo$32b3ob3ob3o$34b7o$19b2o$20bo$20bobo24bo2b2o$21b2o23bob o2bo$46bobobo$45b2obob2o$44bo3bo3bo$44bo4bobobo$44bo3b2o3bo$44bo4bob2o $31bo12bo3bo$30bobo12b2ob...

praosylen

Here is a five-glider stillater activation. x = 28, y = 22, rule = B3/S23 6bobo$6b2o$7bo$12b2o3b2o8bo$bo10bobobo2bo5b2o$2bo11bob2o2bo5b2o$3o11b o3b2o$15b3o$17bo4$5bo$5b2o$4bobo5$22b2o$22bobo$22bo! The starting still-life only requires thirteen gliders, so the total cost is eighteen gliders. Please ...

praosylen

Further reduction I put on Discord:

Code: Select all

x = 26, y = 17, rule = B3/S23
15b2o$14bo2bo$14b3o6bo$12b2o9bobo$5bo5bo3b2o6b2o$6bo5b2obo$4b3o6bo2b3o
$11bobo4bo$11b2o$3o$2bo19b2o$bo20bobo$22bo$7b2o$8b2o5b2o$7bo7bobo$15b
o!

praosylen

rle + command The long barge activation simply adds a domino to prevent it from turning into that dock. Without it, you can replace the G+boat+loaf with a G+ship and a 2G cleanup: x = 41, y = 40, rule = B3/S23 33bo$33bobo$33b2o$16bo$17bo$15b3o4$12bo$13bo$11b3o14b2o$29bo3b2o$28bo 4bo$28b2o5bo3b2o$34...

praosylen

Here's something that's probably unoptimized:

Code: Select all

x = 19, y = 16, rule = B3/S23
4bo5b2o$3bobo3bobo$3bobo3bo$2obob2ob2o5bo2bo$2obo10bo$3bo10bo3bo$3b2o
9b4o$8b2o$7bobo$8bo$13b2o$8b2o3bobo$8bobo2bo$2b2o4bo$bobo$3bo!

praosylen

EDIT: Next one, though it breaks the rules. x = 14, y = 10, rule = B3/S23 5bo6b2o$5bo2$13bo2$3b2o$o2b2o8bo3$o2bo2bo2bo2b2o! x = 18, y = 13, rule = B3/S23 4bo$3bobo$3bobo$b3ob2o2bo6b2o$o8bo$b3ob2o$3bob2o10bo2$7b2o$4bo2b2o8bo 3$4bo2bo2bo2bo2b2o! Next (with pretty much the same easy solution as I'd pl...

praosylen

This shall be the next region: x = 8, y = 7, rule = B3/S23 5b2o$4bo2bo$4bo2bo$2o3b2o$bo2$b2o! Eaten: x = 18, y = 11, rule = B3/S23 4b2o10b2o$5bo10bo$5bobo6bobo$6b2o2b2o2b2o$9bo2bo$9bo2bo$5b2o3b2o2b2o$ 2obo2bo7bobo$ob2o12bo$6b2ob2o5b2o$9b2o! Next region (not too hard): x = 8, y = 8, rule = B3/S23 3b...

praosylen

C28, in a different thread, wrote: ↑
August 7th, 2021, 9:28 am
U-turner eater with odd tub+block eater
Code: Select all
x = 16, y = 15, rule = B3/S23
2bo6b3o$bobo5b3o$2bo5bobo$8b2o4$12b2o$12bobo$14bo$14b2o$2o$2o3bo$4bob
o$5bo!

Collecting this here as an example usage for the "eater 5 without a tail" catalyst...

praosylen

P15 (not sure if Karel's P15 is the smallest version — sadly it's an odd period so clocks don't work): x = 33, y = 24, rule = B3/S23 25b6o$24bo6bo$23bo8bo$24bo6bo$12b2o11b6o$12bo$13b3o$8b2o5bo$9bo15bo4b o$9bobo6bo6b6o$10b2o13bo4bo$16bobo$14bobo$2bo4bo13b2o$2b6o6bo6bobo$2b o4bo15bo$17bo5b2o$17b3o$20b...

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