ConwayLife.com

This contains 382 gliders and 30 LWSSes, for a total cost of 472 plus the cost of the following 521-cell still-life (the only thing left to construct): x = 45, y = 53, rule = B3/S23 19b2o11b2o$19bo13bo$20b3ob2ob2ob3o$22bobo3bobo$25bobo$23b3ob3o$22bo7bo $21bobo5bobo$22b2o5b2o$16b2o8bo8b2o$16bobo3b9o...

Assuming that you're starting with the known method from Canada Grey of expanding a triangular patch of zebra stripes -- how difficult is it to start contracting the zebra stripes again to make a diamond? Are the same components mostly usable for that? I haven't seen any examples along those lines ...

I found a way of constructing the tricky motif that occurs at both ends: x = 1163, y = 95, rule = B3/S23 612bo$611bo$611b3o4$102bo$101bo$101b3o434bo77bo$539b2o73b2o$538b2o75b 2o$593bo$591b2o357bo$546bobo43b2o12bobo342bo$547b2o57b2o341b3o$547bo 12bo46bo$561b2o$560b2o$960bo$558bo37bo364bo$556bobo37bob...

Final step for a spacefiller!: x = 163, y = 153, rule = B3/S23 36bo89bo$37b2o85b2o$36b2o17bo69b2o$43bobo7bobo61bobo$44b2o8b2o61b2o$ 44bo62bobo8bo$107b2o$39bo68bo14bo$27bobo7bobo83bobo7bobo$28b2o8b2o7bo 5bo4bo56bo7b2o8b2o$28bo16bobo3bobo2bobo56bobo16bo$46b2o4b2o3b2o56b2o$ 39bobo79bobo$32bo7b2o79b2o7b...

I've made some good progress on the spacefiller synthesis. Turn the red cells on at generation 8, and a spacefiller is produced: x = 77, y = 85, rule = LifeHistory 35.A$26.A9.2A12.A$24.A.A8.2A13.A.A$25.2A13.A9.2A$40.A.A$19.A20.2A15.A $20.2A33.2A$19.2A6.A5.A4.A10.A6.2A$28.2A4.2A3.2A6.2A$27.2A4.2A3.2A...

pretty random, but I conjecture that there exists no stable or periodic (stationary) object that cannot be hit with a glider to create debris with a larger population than the original object. for example, the block has two collisions that have a greater final population. I think the following 8492...

Great to see the pseudo-heisenburp completed! I thought I'd try patching in some 2c/3 wire to reduce the height a little bit. It did reduce the height, but not quite enough to fit in LifeViewer without MAXGRIDSIZE 14 ... and of course it increased the repeat time to 1560: we don't have a 2c/3-to-X c...

58P5H1V1-to-G with repeat time 111: x = 68, y = 67, rule = LifeHistory 14.2A$15.A$15.A.A$16.2A2$19.2A$19.A.A$21.A$17.4A$16.A9.A$16.2A.2A4.A. A$17.A.A5.A.A$17.A.A6.A$18.A3$12.2A$12.2A4$42.2C$42.2C$41.C2.C$38.2C. C2.C$44.C$36.2C3.C2.C$36.2C5.C$37.C.5C$38.C3$35.3C$2A33.C$A.A6.2A22. 2C$.2A6.2A16.2C4.C$2...

Wasp-to-G with repeat time 130: x = 37, y = 68, rule = LifeHistory 4.A$3.A.A$3.A.A$.3A.2A$A$.3A.2A$3.A.2A6.2A$13.2A8.A$22.A.A$23.A3$36.A $34.3A$33.A$33.2A$22.C3.C$19.C.C.2C.3C$18.C2.C6.2C.2C$13.2C2.2C2.C3.C 2.C2.2C$13.2C.C.2C2.C2.C4.C2.C$12.C3.C4.2C$12.C.C.C2.C2.2C$21.C$13.3C 36$21.3A.3A$18.4A.A4.2A...

Canada goose-to-G with repeat time 59: x = 49, y = 48, rule = LifeHistory 10.2A$10.A$8.A.A$7.A.A$3.2A3.A$3.2A3$22.2A$22.2A2$2.A$.A.A2.2A$A.A2.A .A$A2.2A$.A.A$2A.A2.A$3.A.A.A$2A.A.2A$A.A.A$2.A2.2A$.A.A.A16.3C$2.A2. A16.C9.2C$3.2A18.C6.3C.C$25.2C2.2C$26.C$30.C$26.2C3.C$25.C.C.2C$25.C. C2.C.2C$24.C4.2C...

x66-to-glider converter with repeat time 65: x = 23, y = 65, rule = LifeHistory 8.2A.2A$9.A.A$4.2A.A5.A.2A$3.A.A.2A3.2A.A.A$2.A6.A.A6.A$3.6A3.6A$3A 15.3A$A3.3A7.3A3.A$.3A2.A3.A3.A2.3A$4.A4.A.A4.A$3.A5.A.A5.A$3.A.A4.A 4.A.A$4.A.A7.A.A$5.A9.A$10.A$9.A.A$9.A.A$10.A11.A$20.3A$19.A$19.2A$4. 2A$4.2A2$10.3...

I found an Edge-repair spaceship 1-to-glider converter with repeat time 94: x = 20, y = 52, rule = B3/S23 15b2o$9b2o5bo$9bobob3o$3bo7bobo$3b3o5b2o$6bo$5b2o2$b2o$bobo14b2o$2bo 15b2o4$8bo$7b4o$2bo3bo3b2ob2o$b4o5bo2b2o$o3bo7bo2bo$bobo2bo$5bo26$7b3o $6bo3b2obo$b3o2b3o3b3o$obob3o4bo3bo$bo4bo7bo$4b2o! Her...

Here's a direct walrus-to-G converter with repeat time 274: x = 69, y = 83, rule = B3/S23 23bo$21b3o$10b2ob2o5bo$10b2obo6b2o$13bo$13b2o8$9b2o$3bob2obobo$3b2obob o$7b2o19bo$26b3o$o24bo$3o23bo$3bo21b2o4bo$2b2o25b3o$28bo$28b2o7$19b6o$ 21b2o$18bo5b2o$16b8obo$15b4o3bo$15bo9b3o$4bo13b2o3b2ob2o2b2o$3bobo11...

Smaller and faster walrus eater:

Final step for another 2c/5 ship: x = 59, y = 73, rule = B3/S23 27bo13bo$27bobo9b2o$27b2o11b2o2$11bo19bobo11bo$12b2o17b2o10b2o$11b2o 19bo11b2o3$15bo$11bo4b2o$9bobo3b2o$10b2o2$44bobo$2bo41b2o$obo42bo5bo$b 2o48bobo$51b2o5$54bo$52b2o$18bo34b2o$17bobo7bo$18bobo5bobo$19bobo4bobo $20bobo4bo$22bo$22b2o$14b...

Something I've been wondering for a while: are there any ways to knock off two lengths off of a WSS structure from the front in one blow in such a way that would permit the synthesis of the "asymmetric Canada Grey"? Turning a HWSS into a LWSS from the front sounded tricky, so I tried looking for a ...

Speaking of infinite sequences, I suspect the following sequence of wormy c/3 ships should be within reach of current techniques: x = 28, y = 52, rule = B3/S23 5bo$b3ob3o$o6b2o$b2o3bo2bo3bo$11b4o$11bo3bo$9bo2bobo$10bo13$5bo$b3ob3o $o6b2o$b2o3bo2bo3bo$11b4o$11bo3bo3bo$9bo2bo4b4o$10bo6bo3bo$15bo2bobo...

I made a pattern that contains the continous syntheses of the cheapest spaceships of every currently synthesisable velocity. The constituent syntheses are up to date as of today. Here's the pattern as it actually got checked in for Golly 3.5 (unless it turns out to be Golly 4.0): ... There have def...

Brain in 99 gliders: x = 1857, y = 77, rule = B3/S23 1782bo47bo$1783bo45bo$1781b3o45b3o5$1786bo39bo$1787bo37bo$1785b3o37b3o 2$1802bobo$1797bo5b2o$1795bobo5bo$332bo187bo1257bo8bo8b2o27bo8bo$330bo bo187bobo1256bo8bo35bo8bo$331b2o187b2o1255b3o6b3o35b3o6b3o$1774bo63bo$ 1772bobo63bobo$1773b2o63b2o3$1778b...

I've completed the HashLife-friendly* design I mentioned in my last edit, and made a script to automatically build Speed Orthogonal Loopships of any given orthogonal speed: # sol-predecessor-builder.py # Lots of code is borrowed from the speed demonoid-building scr ipts by dvgrn: https://conwaylife....

I was able to compile the new design without too much difficulty. Here's a 77766080c/209071672 spaceship which also happens to be a SMOS (see the attached phase): smos.mc This is the first SMOS made entirely out of xWSSs (so a SMOX? a SMOW?). I haven't yet figured out the details of if/how the space...

I’m working on it x = 68, y = 80, rule = B3/S23 65bo$65bobo$65b2o15$42bo$42bobo$42b2o37$28bo$28bobo$28b2o12$3bo$3bobo $3b2o6$2o$2o! The modern (and much less tedious) way of creating a slow salvo recipe from a constellation activation like this one is definitely to use slmake . Using this infile, x...

Fortunately, I think that there's a fairly simple way of solving both of those problems, which is to make the trigger MWSS travel the whole way round the snark loop before destroying any snarks (so in total it travels round the loop twice) and to travel round the outside of the loop, rather than th...

xs21_4ap68ozw125aa6 done: x = 146, y = 38, rule = B3/S23 29bo102bobo$27b2o104b2o$28b2o103bo$139bobo$139b2o$131bobo6bo$132b2o$ 132bo$24bo$8bo14bo44bo59bo$7bobo13b3o41bobo57bobo$6bo2bo56bo2bo56bo2bo 13bo$7b2ob2o55b2ob2o55b2ob2o9b2o$8bo2bo56bo2bo56bo2bo10b2o$8bobo57bobo 57bobo$9bo59bo3bo55bo3bo$70b4o56...

xs21_03pc0qmz321074: x = 79, y = 29, rule = B3/S23 b2o58b2o$bo3b2o54bo3b2o$3bo2bo56bo2bo$2b2obo56b2obo$2bo2b2o55bo2b2o$ob o2bo54bobo2bo$2o4bo53b2o4bo9bo$5b2o3bo56bo8bobo$9bo58bo7b2o$9b3o55b2o$ 5b2o$4bobo$6bo3b2o$11b2o$10bo46bo$57b2o$56bobo3$52b3o4b2o13b3o$54bo3bo bo13bo$53bo6bo14bo2$66bo$65b2o$65bob...