ConwayLife.com

Here are 6 15-bit still lifes with costing less than 1 glider/bit. (15.1217, 15.1151, 15.1131, 15.1074, 15.1037, 15.1036) x = 135, y = 248, rule = B3/S23 36bo$37b2o$36b2o2$43bo5bo$9bo27b3o4b2obobo$7bobo29bo3b2o3b2o$8b2o28bo 22b2o$4b2o55bo2b2o$3bobo21b2o18b2o14b2obo$5bo2bobo16bo13b3o3bo19bo$8b 2o18bo...

I'm not big on components but courtesy of this post and your immediate response we have a promising 13-glider base for 15.619: x = 58, y = 12, rule = B3/S23 2o18b2o28b2o$o2bo16bo2bo26bo2bo$2b2o2bo15b2o2b2o24b2o2b2o$3bobobo2bo 12bobobo8bo2bo2bo10bobobo$3bo2bo3bobo10bobo27bobo$2b2o6b2o10b2ob2o27b 2o2...

15.1317 (16G->11G): ... In this synthesis (and also 15.1287 (16G->11G)) the gliders in white are not compatible if you rewind: ... Eek! This is probably my fault. I use that 5-glider add-siamese-carrier component in many syntheses; I had never realized that it was invalid. This is not a serious pro...

All but one of the above syntheses (#4) improve the state of the art. Congratulations! 6 of them can be slightly improved, by tightening up initial still-life synthesis and/or final cleanup: Thanks. I'm not currently trying to optimize the syntheses I make, just make them below 15 gliders. I stop i...

There are now only two remaining 14-bit still-lifes costing 14 gliders: 14.698 and 14.191 (row 4). One of these in 10 gliders: x = 103, y = 29, rule = B3/S23 19bo$20bo$18b3o$81bo$82bo$80b3o2$83b2o$57bobo23b2o$57b2o$58bo2$bo3bo$ 2bobo77b2o$3ob3o34b2ob2o36bo4b2o$41b2ob2o38bobobo$83b3o11b2o$54bo27bo 1...

Due to the great interest and considerable achievements in the glider synthesis, publish the edited database of glider syntheses for still lifes to 15 bits: still4-13.rar still14.rar still15.rar and a summary table to it: Bit...... 4 .. 5 .. 6 .. 7 .. 8 .. 9 .. 10 .. 11 .. 12 .. 13 .. 14 .. 15 Max G...

Bi-griddles with a different symmetry: x = 113, y = 81, rule = B3/S23 85bo$83bobo$84b2o4$96bo$94b2o$95b2o2$85bo$86b2o20bo$85b2o21bobo$106bo 4bo$88b2o16b6o$87bo2bo$88b2o16b6o$106bo4bo$85b2o21bobo$86b2o20bo$85bo 2$95b2o$94b2o$96bo4$84b2o$83bobo$85bo10$84bo$82bobo$83b2o2$25b3o17b3o 17bo19bo$6bo57bobo17...

2 symmetric Cavity: x = 112, y = 41, rule = B3/S23 71bo$69bobo$70b2o5$63bo$64bo$62b3o6$92bo$86bo4bo$84bobo4b3o$85b2o$9bob o$10b2o81b2o$10bo82bobo$79bo13bo14bo$12bo25bo41bo25b5o$10b2o26b3o37b3o 6b2o16bo5bo$11b2o28bo44bo2bo15bo2b2obo$20bo17b2obo44bobo15b2obo2bo$19b 2o13b2obo2bo46bo17bobo$o18bobo13bobo...

5G: x = 157, y = 31, rule = B3/S23 7$14bobo$14b2o65bo50bo$15bo64bo49b2o$80b3o48b2o$65bo60bo$63bobo27bo2b 2o29bo$2bo61b2o26bobo2bo27b3o23b2o$obo89bobobo53bo2bo$b2o90bo2b2o51bob obo$27bo45bo22bo2bo28bo5b3o11bo2b2o$26bobo43bo8b2o15b2o26b2o6bo14b2o$ 7bo18bobo43b3o5b2o45b2o6bo14bo$6bo20b2ob2o50bo65bo$6b3...

Everyone knows that the symmetry of the population without the impact from the outside can only increase. The main kinds of symmetry are reflected and turns, as well as their combinations. Parity I call the following feature location axes of symmetry. Axis of symmetry parallel to the coordinate axes...

Why not with the symmetry of O2. 103G->9G!!! Bob Shemyakin

... The first one yields this 9-glider synthesis that ties Extrementhusiast's synthesis from 2014-04-25: x = 83, y = 34, rule = B3/S23 51bo13bo$49bobo13bobo7boo3boo$50boo13boo7bobbobobbo$74booboboboo$77bob o$77bobo$58bo19bo$58boo$57bobo$47boo19boo$46bobo11boo6bobo$48bo11bobo 5bo$60bo$$4bo$5bo$3b3o$...

Also, here are 2 incomplete syntheses of 2 very large asymmetric still-lifes that I found on catalogue with only 1 or 2 occurrences. rle rle I didn't complete them as I couldn't find any decent efficient cleanups for them. But maybe someone else can... (EDIT: Missed wildmyron's post) And for the ot...

That p16 is sparkier than the 4th of July fireworks a few hours ago. Congrats to Rich Holmes! Certainly, that can be put to use. EDIT: And, as its first application, a reduction of the p48 gun: x = 47, y = 43, rule = B3/S23 17b2o11b2o14bo$16bo2bo9bo2bo$16bobo3b2ob2o3bobo$14b2o2bobo7bobo2b2o$ 15bobo...

Is this component known? x = 18, y = 9, rule = B3/S23 12bo$11bo$8bo2b3o$b2o4b2o7bo$o2bo3bobo5b2o$b2o12bobo$11b2o$b2o8bobo$b 2o8bo! did I post this here before? You can actually make two at once: 26bo$25bo$22bo2b3o$15b2o4b2o7bo$6bo7bo2bo3bobo5b2o$4bobo8b2o12bobo$5b2o18b2o$obo12b2o8bobo$b2o5bobo3bo2b...

wouldn't this count as a greyship? I think very technically, in wider sense it's. The strict definition of greyship is that inner part should be with density 1/2. But more forgiving definition could allow less dense internal agars. Now agar as well in the context of greyships is something which is ...

Is this the first of its kind? No, I have in the storerooms there are grey ship: x = 121, y = 121, rule = B3/S23 34b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo$34bo3bo3bo3bo3bo3bo3bo3bo 3bo3bo3bo3bo3bo3bo$34bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$36b2o6b 2o6b2o6b2o6b2o6b2o6b2o9b2o$38bobo5bobo5bobo5b...

a multi tub stretcher: x = 69, y = 62, rule = B3/S23 20b2o$20bobo$20bo$23bo3bobo$23b3obo2bo$13b2o7bobobo2bo2b3o$12b2o7b2obo 4bo2b2obob2o$14bo13bo6bobobo$16b2o3bo3bo11bo$16b2o2bo17bobo$11b2o6b2o 3bo15bo$10b2o7b2o20bo$12bo29bo$14b2o3bo22b3o$14b2o2bo28bo11bo$9b2o6b2o 3bo20bo2b2obo8b5o$8b2o7b2o3bobo18b...

Not too rare, but I found it by hand. ... Well, it doesn't break any records... Actually, this mechanism for 10.9 was discovered before. I'm not sure when or by whom, but it wasn't in the 1990s version of my web site, but is there now, as the rightmost synthesis on the top row (and it's wrong - the...

Either of these synths known? x = 80, y = 48, rule = B3/S23 68bo$6bo59b2o$4bobo60b2o$5b2o2$61bo$62bo$60b3o3$57b2o$56bobo$58bo$62bo $60b2o$61b2o2$63bo$62b2o$62bobo$15bo$13b2ob2o$13b2ob2o2$15bo3$6b3o13b 3o$6b3o13b3o$7bo15bo$67bo$66b2o$56b2o8bobo$57b2o$56bo4$63bo$62b2o$62bo bo$56bo$56b2o$55bobo$2o27b2...

x = 140, y = 169, rule = B3/S23 16bo$17bo$15b3o3$12bo$10bobo$11b2o36b2o$8bo9bo30bo$8b2o8b2o31bo$7bobo 7bobo27b5o$21b3o23bo$21bo6bo21b2o$22bo3b2o22b2o$27b2o5$21bo6b2o$20b2o 6bobo$20bobo5bo10$16b2o$16bo$18bo$14b5o26b2o$14bo30bo$17b2o28bo$17b2o 24b5o$11bo31bo$12b2o32b2o$11b2o2b2o3b2o24bobo$14bobo2b2o2...

I'm laughing inside. RLE Same here, as I had solved all three minimal variants soon after the original oscillator showed up, but apparently forgot to post them: x = 338, y = 170, rule = B3/S23 17bobo$11bobo4b2o$12b2o4bo$bo10bo$2bo$3o$15bo$16bo10bo$14b3o9bo$26b3o 4b2o$33bobo68bo$33bo71bo88bo$103b3o8...

Here is a 11-glider synthesis for one of the two unknown 18-bit 1beacon-like P2s from a predecessor from a soup. Half an hour after finding this, I found a way to make an converter (based on predecessors from many soups that use the same mechanism) that also makes this from 11 gliders, and gives th...

synthesis of a p3 oscillator... Very nice! The last 3 steps use 10 gliders to activate the still-life by hitting it with an interchange-like predecessor. The test tube baby-to-fumarole activation does the same thing from 5 gliders with an actual interchange predecessor, and that same mechanism can ...

Second natural 41-cell SL : rle 10G, with related trivial 9G/11G: x = 103, y = 123, rule = B3/S23 12bo$13b2o$12b2o71bo$84bo$84b3o4$82bo3b2o$82bo3b2o$18bobo61bo$19b2o3bo $19bo4bobo$24b2o$79bo$80bo$78b3o2$81b2o$20bo60b2o$20bo$20bo2$16b3o3b3o 53b2o3b2o$77bo2bobo2bo$20bo56b2obobob2o$20bo59bobo$14bobo3b...