For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

16.68 in 12 gliders, instead of 15:
`x = 93, y = 99, rule = B3/S23bo\$2bo\$3o26\$68bo\$67bo\$67b3o5\$46bo\$46bobo\$46b2o5\$28bo\$26bobo\$27b2o2\$37b3o\$39bo\$38bo2\$53b2o\$53bobo\$53bo\$49b2o\$48b2o\$33b2o15bo\$32bobo\$34bo16\$59b2o5bo\$59bobo3b2o\$59bo5bobo17\$12b3o\$14bo\$13bo2\$90b3o\$90bo\$91bo!`

I am not sure where to put still life syntheses, so I put it here. It can probably be improved.

(EDIT: took the liberty of moving all these still life syntheses out of Synthesizing Oscillators into a new topic, 2/11/2018 -- dvgrn)
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1041
Joined: July 1st, 2016, 3:58 pm

### Re: Synthesising Oscillators

AforAmpere wrote:16.68 in 12 gliders, instead of 15:
`rle`

I am not sure where to put still life syntheses, so I put it here. It can probably be improved.

I would have probably put it under Unsure Discoveries, since the alternative would be bumping the 16 in 16 thread.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Synthesising Oscillators

AforAmpere wrote:16.68 in 12 gliders, instead of 15:
`x = 93, y = 99, rule = B3/S23bo\$2bo\$3o26\$68bo\$67bo\$67b3o5\$46bo\$46bobo\$46b2o5\$28bo\$26bobo\$27b2o2\$37b3o\$39bo\$38bo2\$53b2o\$53bobo\$53bo\$49b2o\$48b2o\$33b2o15bo\$32bobo\$34bo16\$59b2o5bo\$59bobo3b2o\$59bo5bobo17\$12b3o\$14bo\$13bo2\$90b3o\$90bo\$91bo!`

I am not sure where to put still life syntheses, so I put it here. It can probably be improved.

16.68 in 10G:
`x = 126, y = 39, rule = B3/S2324bo\$25bo\$23b3o4\$74b2o\$73bo2bo\$5bo20b2o45bo2bo\$3bobo13bobo3b2o28b2o17b2o\$4b2o14b2o5bo27b2o3bo10bo44b2o\$b2o17bo39b2o8bobo42bo2bob2o2b2o\$obo56bobo9b2o42b2o2b2obo2bo\$2bo17b3o40b3o57b2o\$20bo42bo\$21bo42bo5\$33b3o\$35bo\$34bo14\$121bo\$120b2o\$120bobo!`

Bob Shemyakin
BobShemyakin

Posts: 214
Joined: June 15th, 2014, 6:24 am

### Re: Synthesising Oscillators

BobShemyakin wrote:16.68 in 10G

Small reduction, 16.68 in 9G:
`x = 127, y = 36, rule = B3/S23\$29bo\$27b2o\$28b2o45b2o\$74bo2bo\$6bo67bo2bo\$4bobo14bo34b2o17b2o\$5b2o12bobo3bo30b2o3bo10bo44b2o\$2b2o16b2o2b2o35b2o8bobo42bo2bob2o2b2o\$bobo20bobo33bobo9b2o42b2o2b2obo2bo\$3bo60b3o57b2o\$64bo\$65bo5\$34b3o\$36bo\$35bo14\$122bo\$121b2o\$121bobo!`

2718281828

Posts: 737
Joined: August 8th, 2017, 5:38 pm

### Re: Synthesising Oscillators

12.3 -> 19.??? -> 26.???
`x = 149, y = 32, rule = LifeHistory32.A29.B\$31.A29.3B\$31.3A26.4B\$59.4B\$58.4B\$57.4B\$56.4B\$55.4B\$54.4B\$53.4B\$52.4B\$.A29.B19.4B\$2.A7.A19.3B7.2B8.4B90.2A.2A\$3A8.2A17.4B6.3B6.4B91.2A.A\$10.2A19.4B5.4B4.4B17.3D26.A18.3D27.A\$32.4B5.4B2.4B17.D3.D23.3A17.D3.D23.3A\$33.4B5.4B2AB2A21.D19.2A.A24.D19.2A.A\$34.4B5.3B2ABA21.D20.2A.A.2A20.D20.2A.A.2A\$35.4B5.5BA20.D24.A.2A19.D24.A.2A\$36.4B4.2B3AB42.3A45.3A\$37.4B2.3BA3B20.D21.A25.D21.A\$38.13B\$39.13B\$40.11B\$39.10B\$40.7B\$41.6B\$41.6B\$40.6B\$9.3A27.5B\$11.A27.3B\$10.A29.B!`

PHPBB12345

Posts: 561
Joined: August 5th, 2015, 11:55 pm

### Re: Synthesising Oscillators

PHPBB12345 wrote:12.3 -> 19.??? -> 26.???
`x = 149, y = 32, rule = LifeHistory32.A29.B\$31.A29.3B\$31.3A26.4B\$59.4B\$58.4B\$57.4B\$56.4B\$55.4B\$54.4B\$53.4B\$52.4B\$.A29.B19.4B\$2.A7.A19.3B7.2B8.4B90.2A.2A\$3A8.2A17.4B6.3B6.4B91.2A.A\$10.2A19.4B5.4B4.4B17.3D26.A18.3D27.A\$32.4B5.4B2.4B17.D3.D23.3A17.D3.D23.3A\$33.4B5.4B2AB2A21.D19.2A.A24.D19.2A.A\$34.4B5.3B2ABA21.D20.2A.A.2A20.D20.2A.A.2A\$35.4B5.5BA20.D24.A.2A19.D24.A.2A\$36.4B4.2B3AB42.3A45.3A\$37.4B2.3BA3B20.D21.A25.D21.A\$38.13B\$39.13B\$40.11B\$39.10B\$40.7B\$41.6B\$41.6B\$40.6B\$9.3A27.5B\$11.A27.3B\$10.A29.B!`

19.11903 can be made directly from 7 gliders, and both steps you marked "?" can be done with a 16 glider converter:
`x = 124, y = 157, rule = B3/S2349bo\$50bo\$48b3o29\$87bo\$88boo\$87boo4\$105bo\$103boo\$104boo\$\$117booboo\$118boboo\$91bo26bo\$92bo26b3o\$90b3o29bo\$119boobo\$91bo27booboo\$91boo\$90bobo4\$104bo\$103boo\$103bobo34\$46boo\$47boo\$46bo11\$obo\$boo\$bo7\$27booboo15booboo25booboo15booboo15booboo\$28boboo16boboo26boboo16boboo16boboo\$10bo8bobo6bo19bo29bo19bo19bo\$9bo9boo8b3o17b3o10bo16b3o17b3o17b3o\$9b3o8bo10bo19bo8boo20bo19bo19bo\$40bobo18boo16b3o17b3o17b3o\$11bo29boo29boo5bo12boo5bo19bo\$10boo29bo30boo18boo\$10bobo75b3o\$43boo9boo34bo\$44boo8bobo32bo\$43bo10bo\$50b3o\$52bo\$51bo\$39bo\$39boo\$38bobo13\$17booboo15booboo15booboo15booboo15booboo15booboo\$18boboo16boboo16boboo16boboo16boboo16boboo\$18bo19bo19bo19bo19bo19bo\$19b3o17b3o17b3o17b3o17b3o17b3o\$22bo19bo19bo19bo19bo19bo\$19b3o17b3o17b3o8bo8boobo16boobo16boobo\$19bo18bo15bo3bo11bobo6booboo15booboo15booboo\$27bo10boo12bobo3boo3boo5boo\$26bo26boo7bobo3bo\$23boob3o35bobboo9boo18boo\$22bobo31boo9bobo8boo18boo\$24bo30bobo\$57bo37b3o\$26b3o68bo\$26bo69bo\$27bo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

mniemiec wrote:19.11903 can be made directly from 7 gliders, and both steps you marked "?" can be done with a 16 glider converter:
`rle`

Not the second one:
`x = 25, y = 20, rule = B3/S237bo\$7b3o\$10bob2o\$7b2obob2o\$7b2obo\$11b3o10bo\$13bo8b2o\$2bobo18b2o\$3b2o\$3bo2\$5b2o9b2o\$6b2o8bobo\$5bo10bo\$12b3o\$14bo\$13bo\$bo\$b2o\$obo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Synthesising Oscillators

I wrote:19.11903 can be made directly from 7 gliders, and both steps you marked "?" can be done with a 16 glider converter: ...

BlinkerSpawn wrote:Not the second one: ...

Oops. One of the steps doesn't quite work as shown, but all of these converters are standard boiler plate, so one just needs to replace that step by a few other less obtrusive ones that do the same thing:
`x = 111, y = 18, rule = B3/S233bo19bo19bo19bo19bo19bo\$3b3o17b3o17b3o17b3o17b3o17b3o\$6boboo16boboo16boboo16boboo16boboo16boboo\$3booboboo13booboboo13booboboo13booboboo13booboboo13booboboo\$3boobo16boobo16boobo16boobo16boobo16boobo\$7b3o17b3o17b3o17b3o17b3o17b3o\$9bo20bo19bo19bo19bo19bo\$bo27boo18boo18bo19bo17b3o\$bbo65bo19bo18bo\$3oboo46bobo13boo18boo\$4bobo45boo25boo\$4bo37boo9bo24bobobboo\$43boobbo32boboo\$3o39bo3boo6b3o18boo7bo\$bbo43bobo5bo19bobo\$bo53bo20bo19bo\$95boo\$95bobo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

mniemiec wrote:
I wrote:19.11903 can be made directly from 7 gliders, and both steps you marked "?" can be done with a 16 glider converter: ...

BlinkerSpawn wrote:Not the second one: ...

Oops. One of the steps doesn't quite work as shown, but all of these converters are standard boiler plate, so one just needs to replace that step by a few other less obtrusive ones that do the same thing:
`RLE`

`x = 654, y = 663, rule = B3/S232bo648bo\$3bo647bobo\$b3o647b2o\$648bo\$647bo\$647b3o5\$645bo\$644bo\$644b3o4\$627bo\$626bo\$626b3o2\$624bo\$623bo\$623b3o\$635bo\$633b2o\$634b2o7\$617bo\$615b2o\$616b2o6\$42bo565bo\$40bobo565bobo\$41b2o565b2o21\$593bo\$45bo547bobo\$43bobo547b2o\$44b2o12\$578bo\$576b2o\$577b2o15\$558bo\$556b2o\$557b2o6\$84bo\$85bo\$83b3o\$108bo428bo\$109bo427bobo\$107b3o427b2o\$534bo\$533bo\$533b3o5\$531bo\$530bo\$530b3o4\$513bo\$512bo\$512b3o2\$510bo\$509bo\$509b3o\$521bo\$519b2o\$520b2o7\$503bo\$501b2o\$502b2o6\$148bo345bo\$146bobo345bobo\$147b2o345b2o21\$479bo\$151bo327bobo\$149bobo327b2o\$150b2o12\$464bo\$462b2o\$463b2o15\$444bo\$442b2o\$443b2o6\$190bo\$191bo\$189b3o\$214bo208bo\$215bo207bobo\$213b3o207b2o\$420bo\$419bo\$419b3o5\$417bo\$416bo\$416b3o4\$399bo\$398bo\$398b3o2\$396bo\$395bo\$395b3o\$407bo\$405b2o\$406b2o7\$389bo\$387b2o\$388b2o6\$254bo125bo\$252bobo125bobo\$253b2o125b2o21\$278bo\$279bo\$277b3o29\$316bo\$317b2o\$316b2o4\$334bo\$332b2o\$333b2o4\$320bo\$321bo\$319b3o2\$320bo\$320b2o\$319bobo4\$333bo\$332b2o\$332bobo34\$275b2o\$276b2o\$275bo12\$376b3o\$376bo\$377bo9\$390bo\$389b2o\$389bobo3\$397bo\$245bo150b2o\$245b2o149bobo\$244bobo\$389b3o\$389bo\$390bo7\$401b2o\$400b2o\$402bo6\$228bo181bo\$228b2o179b2o\$227bobo179bobo12\$418b2o\$417b2o\$419bo\$212b3o\$214bo\$213bo9\$425b2o\$425bobo\$425bo2\$189b3o\$191bo\$190bo5\$182bo\$182b2o\$181bobo253b2o6b2o\$436b2o7bobo\$438bo6bo4\$170b2o\$169bobo270b2o\$171bo269b2o\$166b2o275bo\$165bobo\$167bo287bo\$454b2o\$454bobo3\$173bo\$173b2o\$172bobo2\$463b2o\$462b2o\$464bo5\$160b2o\$159bobo315bo\$161bo314b2o\$153b2o321bobo\$152bobo\$154bo2\$149b3o\$151bo\$150bo339b3o\$490bo\$491bo9\$504bo\$503b2o\$503bobo3\$511bo\$139bo370b2o\$139b2o369bobo\$138bobo\$503b3o\$503bo\$504bo7\$515b2o\$514b2o\$516bo6\$122bo401bo\$122b2o399b2o\$121bobo399bobo12\$532b2o\$531b2o\$533bo\$106b3o\$108bo\$107bo9\$539b2o\$539bobo\$539bo2\$83b3o\$85bo\$84bo5\$76bo\$76b2o\$75bobo473b2o6b2o\$550b2o7bobo\$552bo6bo4\$64b2o\$63bobo490b2o\$65bo489b2o\$60b2o495bo\$59bobo\$61bo507bo\$568b2o\$568bobo3\$67bo\$67b2o\$66bobo2\$577b2o\$576b2o\$578bo5\$54b2o\$53bobo535bo\$55bo534b2o\$47b2o541bobo\$46bobo\$48bo2\$43b3o\$45bo\$44bo559b3o\$604bo\$605bo9\$618bo\$617b2o\$617bobo3\$625bo\$33bo590b2o\$33b2o589bobo\$32bobo\$617b3o\$617bo\$618bo7\$629b2o\$628b2o\$630bo6\$16bo621bo\$16b2o619b2o\$15bobo619bobo12\$646b2o\$645b2o\$647bo\$3o\$2bo\$bo!`

PHPBB12345

Posts: 561
Joined: August 5th, 2015, 11:55 pm

### Re: Synthesising Oscillators

Down to twelve gliders total (including three from an eater-to-integral, not shown here):
`x = 37, y = 33, rule = B3/S2335bo\$34bo\$34b3o5\$17bo\$15bobo\$16b2o2\$27bo\$26bo\$26b3o3\$15bo\$5bo9b3o\$3bobo12bo\$4b2o11b2o7\$8b2o14b2o\$9b2o4b2o7bobo\$b2o5bo5bobo7bo\$obo13bo\$2bo15b3o\$18bo\$19bo!`

Fourteen-glider variation (same inclusion):
`x = 33, y = 27, rule = B3/S2321bo8bo\$19bobo8bobo\$20b2o8b2o2\$23bobo\$14bo8b2o\$14b3o7bo3b2o\$17bo9b2o\$16b2o11bo\$21b2o\$20bo2bo\$11b2o7bo2bo\$12b2o7b2o\$11bo\$23b2o\$15b2o6bobo\$15bobo5bo\$10b3o2bo\$12bo\$11bo5\$b2o\$obo\$2bo!`

This variant could be improved with a better way to synthesize that spark on the right.

If an eater head is desired instead of a plain tail, the component becomes shockingly cheap at just five gliders (without the inclusion this time):
`x = 15, y = 12, rule = B3/S233bo\$3b3o5bobo\$6bo4b2o\$5b2o5bo2\$b2o5bo3b3o\$obo4b2o3bo\$2bo4bobo3bo2\$4b2o\$4bobo\$4bo!`

While searching for these, I ended up finding this:
`x = 30, y = 26, rule = B3/S2314b2o\$14bobo\$16bo\$16b3o\$19bo\$18b2o\$27bo\$27bobo\$27b2o2\$24b3o\$24bo\$9b2o14bo\$8bobo\$10bo3b2o\$15b2o\$14bo5\$13b3o\$b2o9bo2bo\$obo12bo\$2bo12bo\$12bobo!`

...which can be followed by this:
`x = 30, y = 21, rule = B3/S2327bo\$11b2o14bobo\$11bobo9bo3b2o\$13bo8bo\$13b2o7b3o\$15bo\$13b2obo6bo\$12bo2bo6b2o\$11bo2bo7bobo\$12b2o9\$3o\$2bo\$bo!`

This could also be reached more directly, by using the previous converter sans LWSS, if a suitable domino spark could be made.

EDIT: Original component down to ten gliders (with inclusion):
`x = 51, y = 38, rule = B3/S2349bo\$48bo\$48b3o4\$18bo\$18b3o\$21bo\$20b2o2\$38bo\$38bobob3o\$38b2o2bo\$43bo2\$39bo\$38b2o\$38bobo8\$bo\$b2o\$obo3\$33b2o\$33bobo\$33bo2\$5bo\$5b2o\$4bobo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

I would like to know how this 18-bit still life can be synthesized.
`x = 6, y = 7, rule = B3/S234b2o\$2obobo\$2obo\$3b2o\$2o\$ob3o\$4bo!`

Please get back to me as soon a possible.
mattiward

Posts: 25
Joined: February 8th, 2018, 3:19 am

### Re: Synthesising Oscillators

mattiward wrote:I would like to know how this 18-bit still life can be synthesized.

It can, are you using it for something? Also, welcome to the forums!
Horribly inefficient synthesis in 13 gliders:
`x = 107, y = 35, rule = B3/S23105bo\$104bo\$104b3o2\$14bo\$13bo79b2o4bo\$13b3o36b2o39b2o3bo\$52b2o5bo38b3o\$58bo\$2bo13b3o39b3o\$3bo12bo\$b3o13bo4bo22bo40bo\$21bo24b2o38b3obo\$21b3o21b2o42b2o4b2o\$86b2o7b2o\$87bob2o\$57b2o26bobob2o\$57b2o26b2o\$44b3o\$b2o\$obo\$2bo86b3o\$24b3o\$24bo\$25bo2\$94bo\$93b2o\$41b3o49bobo\$43bo\$42bo2\$57b3o\$57bo\$58bo!`

EDIT, 12:
`x = 89, y = 52, rule = B3/S2378bo\$76b2o6bo\$77b2o4bo\$83b3o10\$73bo\$72bo\$72b3o\$2bo\$3bo55bo\$b3o18bo37b2o\$21bo37b2o\$21b3o2\$71b2o\$71b2o\$58b3o2\$b2o\$obo\$2bo\$24b3o\$24bo\$25bo3\$55b3o\$57bo\$56bo2\$71b3o\$71bo14b3o\$72bo13bo\$87bo8\$82bo\$81b2o\$81bobo!`
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1041
Joined: July 1st, 2016, 3:58 pm

### Re: Synthesising Oscillators

10:

`x = 113, y = 31, rule = B3/S2333bo\$31b2o\$32b2o4\$36bo\$35bo\$35b3o5\$2bobo\$3b2o\$3bo2\$44bo31bo31bo\$15bobo26b3obo27b3obo27b3obo\$15b2o30b2o4b2o24b2o4b2o24b2o\$16bo27b2o7b2o21b2o7b2o21b2o\$45bob2o28bob2o7b2o19bob2o\$13b2o28bobob2o26bobob2o7bobo16bobob2o\$12b2o29b2o30b2o11bo18b2o\$2o6bobo3bo\$b2o6b2o\$o8bo\$47b3o29b3o\$33b2o48b2o\$33bobo47bobo\$33bo49bo!`

gmc_nxtman

Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: Synthesising Oscillators

How many gliders would it take to synthesize this still life starting from scratch?
`x = 7, y = 7, rule = B3/S234b2o\$2obo2bo\$2obobo\$3b2o\$2o\$ob3o\$4bo!`
Last edited by mattiward on February 11th, 2018, 5:39 am, edited 1 time in total.
mattiward

Posts: 25
Joined: February 8th, 2018, 3:19 am

### Re: Still Life Synthesis Thread

mattiward wrote:How many gliders would it take to synthesize this still life? ...

This converter can create the new still-life from the old one with 6 gliders:
`x = 37, y = 24, rule = B3/S23bbo10bo\$3boo7bo\$bboo8b3o\$10bo\$8bobo\$9boo\$\$14bobo\$14boo\$15bo\$4boo28boo\$oobobo11bo12boobobbo\$oobo13bobo10boobobo\$3boo12boo14boo\$oo28boo\$ob3o25bob3o\$4bo29bo5\$16bo\$15boo\$15bobo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Still Life Synthesis Thread

The whole still-life can be done in 9:
`x = 91, y = 78, rule = B3/S234\$38bo\$39bo\$37b3o19\$78bobo\$78b2o\$79bo6\$3bo\$4bo57b2o\$2b3o57b2o2\$76b2o\$76bobo\$58bo8bo8bo\$5b3o51b2o6bobo\$7bo50b2o7b2o\$6bo26\$86b3o\$25b3o58bo\$27bo59bo\$26bo!`

EDIT, 12.21 might be doable in less than 9, but I am not sure:
`x = 11, y = 11, rule = B3/S239bo\$8bobo\$8bobo\$9bo2\$6b2o\$5bo2bo\$2o3bo2bo\$3o2bo2bo\$bo4b2o\$o4bo!`

Is there a database of three-glider collisions you use? That traffic-light+pi was doable in 3 gliders somehow, where did that come from?
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1041
Joined: July 1st, 2016, 3:58 pm

### Re: Still Life Synthesis Thread

I synthesized this still life from 16 gliders.
`x = 6, y = 10, rule = B3/S232b2o\$2bobo\$4bo\$4b2o2\$2b4o\$2bo2bo\$3bo\$3o\$o!`

Any improvements?
mattiward

Posts: 25
Joined: February 8th, 2018, 3:19 am

### Re: Still Life Synthesis Thread

mattiward wrote:I synthesized this still life from 16 gliders. ... Any improvements?

It might be easier to tell if you posted the synthesis rather than just the end product.
Here are two ways I know of making it, from either end, costing 16 and 18 gliders respectively (although I think the converter used in the latter synthesis has since been superceded by a slightly cheaper one involving four gliders into a boat-on-boat):
`x = 192, y = 61, rule = B3/S23168bo\$169bo\$167b3o\$\$173bo\$171boo\$22boo18boo18boo18boo18boo18boo18boo18boo8boo8boo\$23bo19bo19bo19bo8bobo8bo19bo19bo19bo19bo\$bboo19bobo17bobo17boboo16boboo5boo9boboo16boboo16boboo16boboo16boboo3boo\$3boo19boo18boo18bobo17bobo6bo10bobo17bobo5bobo9bobo17bobo17bobo4bo\$bbo3boo41bo15bo19bo4bo15boboo16boboobboobb3o7boboo16boboo16bob3o\$6bobo40bobo37boo14booboo15booboo3bobbo8boobobo14boobobo14boobo\$6bo39booboo33bo4bobo45bo11bo19bo\$45bobo36boo46boo38boo\$47bo35bobo45boo40boobbo\$87boo44bo38bo3boo\$87bobo79bo6bobo\$87bo81boo\$168bobo18\$120bobo\$120boo\$121bo\$115bo\$74bo38bobo10bo\$73bo40boo8boo\$73b3o49boo\$\$70bobo44bo\$3bo67boo42bobo\$bbo31bobo34bo44boo24boo18boo18boo\$bb3o29boo70boo35bo19bo19bo\$20boo13bo4boo18boo18boo13boo3boobbo4bo15boo3boo11boboo3boo11boboo3boo11boboo3boo\$bo19bo19bo13bo5bo13bo5bo12bobo4bo8bo13bobo4bo12bobo4bo12bobo4bo12bobo4bo\$oo16b3o11bo5b3o13bobob3o13bobob3o13bobob3o3bo5bo13bobob3o15bob3o15bob3o15bob3o\$obo15bo14bo4bo16boobo16boobo16boobo6b6o6boo6boobo16boobo16boobo16boobo\$31b3o82bobo\$118bo\$30b3o87b3o\$30bo89bo24boo18boo\$31bo89bo23boo18boo\$\$128boo37b3o\$128bobo36bo\$128bo39bo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Still Life Synthesis Thread

How to connect two splitted still life?
`x = 49, y = 35, rule = LifeHistory15.D17.D\$15.2D15.2D\$15.3D13.3D\$15.4D11.4D\$A2.A2.A2.A2.D2.5D9.5D2.D2.A2.A2.A2.A\$10A11D7.11D10A\$15.7D5.7D\$10A11D7.11D10A\$A2.A2.A2.A2.D2.5D9.5D2.D2.A2.A2.A2.A\$15.4D11.4D\$15.3D13.3D\$15.2D15.2D\$15.D17.D2\$23.3D\$23.3D\$23.3D\$23.3D\$23.3D\$23.3D\$23.3D\$23.3D\$23.3D\$23.3D\$20.9D\$21.7D\$22.5D\$23.3D\$24.D2\$A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A\$49A2\$49A\$A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A!`

PHPBB12345

Posts: 561
Joined: August 5th, 2015, 11:55 pm

### Re: Still Life Synthesis Thread

mniemiec wrote:Here are two ways I know of making it, from either end, costing 16 and 18 gliders respectively

This might be able to be done in less:
`x = 66, y = 45, rule = B3/S235\$6b3o\$48bo\$48bo\$48bo3\$6b3o48bo\$48bo6bo4bo\$48bo5bo5bo\$48bo11bo\$5b2o48bo2bo\$5b2o43bo5b3o\$14b3o32bobo\$49b2o4\$8bo6bo\$9bo4bobo\$7bobo3b2ob2o\$8b2o4bo2bo\$14b2ob2o\$15bobo\$16bo2\$59bo\$16b2o40b3o\$15b2o40b2ob2o\$15bo42b3o\$55bo3bo\$55bo\$55bo3\$16bo\$16bo\$16bo!`
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1041
Joined: July 1st, 2016, 3:58 pm

### Re: Still Life Synthesis Thread

Original Eater 3 with minimum population from 72 gliders:
`x = 690, y = 362, rule = B3/S23473bobo\$473b2o\$474bo2\$214bo\$207bo7b2o3bo\$208bo5b2o2bobo\$206b3o10b2o4\$458bo\$458bobo\$232bo225b2o\$233bo\$231b3o8\$233bo\$231bobo\$232b2o2\$445bo\$443b2o\$233bo210b2o\$234bo10bobo\$232b3o11b2o\$246bo6\$435bo\$434bo\$280bo153b3o\$281b2o\$280b2o3\$431bobo\$431b2o\$432bo\$280bo\$278bobo154bobo\$279b2o154b2o\$436bo2\$279bobo\$280b2o\$280bo3\$409bo\$408bo\$408b3o3\$411bo\$409b2o\$288bo121b2o\$289b2o6bobo4bo\$288b2o8b2o5b2o106bobo\$298bo5b2o107b2o5bo\$414bo3b2o\$409bo9b2o\$408bo\$408b3o\$396bobo6bo\$396b2o6bo\$397bo6b3o4\$305bo\$306bo\$304b3o11\$401bo\$326bo73bo\$324bobo56bo16b3o\$325b2o56bobo\$383b2o3\$340bobo\$341b2o\$341bo2\$336bo\$314bo22b2o\$315bo20b2o43bo\$313b3o58bo5bo\$372b2o6b3o\$373b2o4\$381bo\$379b2o\$380b2o2\$323bobo\$324b2o\$324bo2\$319bo\$320b2o37bo\$319b2o37bo\$358b3o\$352bo\$353bo\$351b3o\$359bo\$360b2o\$359b2o2bobo\$350bo12b2o\$346bo4b2o11bo\$344bobo3b2o\$345b2o7b2o\$353b2o8bo\$355bo8b2ob2o\$363b2o2bobo\$367bo\$342b2o\$341bobo3bobo\$343bo4b2o\$348bo2\$349b2o3bobo26b2o\$350b2o3b2o26bobo\$349bo5bo27bo2\$355b3o\$355bo\$356bo3\$327bo\$327b2o\$326bobo5\$333bo\$326b2o5b2o\$325bobo4bobo\$327bo\$314b3o46b3o\$316bo46bo\$315bo48bo4\$302b2o\$301bobo\$303bo11\$313b2o\$286bo25bobo\$286b2o26bo\$285bobo14\$274b3o\$276bo\$275bo29\$239b2o\$238bobo\$240bo6\$240bo\$240b2o\$239bobo2\$225bo11bo\$225b2o10b2o\$224bobo2b3o4bobo\$231bo\$230bo\$233b2o\$232bobo\$234bo4\$234b3o\$236bo\$235bo10\$211b2o\$210bobo\$212bo\$205bo\$205b2o8b2o\$204bobo7bobo\$216bo41\$81bo\$79b2o330bo\$80b2o197bo129b2o\$278bo127bo3b2o\$147bobo63bobo62b3o60bobo60bobo\$148b2o63b2o61bo64b2o62b2o\$148bo65bo62bo64bo\$275b3o129bo\$102bobo78bo222bo\$59bo43b2o76bobo2bo117bo101b3o\$58bo44bo50bo27b2o2bobo19bo37bo30bobo25bo2bo27bo33bo206bo\$58b3o45bobo44bo32b2o21bo35bo31b2o24b3obo29bo30bobo32bobo5bo164bo\$52bo53b2o45b3o51b3o35b3o30bo28b3o3bo21b3o31b2o28b2o3b2o4bo26bo138b3o\$53bo53bo205bobo84b2o2bo5b3o23bo137bo\$51b3o102b2o30b2o15b2o36b2o68b2o18b2o36b2o26bo36b3o133bobo\$59bo45b2o37b2ob2o7bobo25b2o2bobo13bobo7b2o3b2o21bobo4b2o21b2o5b2o21b2o2bo2b2o21bobo7b2o26bobo61bo10bo29bo39bo29bo27b2o10bo29bo39bo29bo\$60b2o42bo2bo36bo3bo7bo27bo5bo15bo7bo2bo2bo21bo4bo2bo21bo2bobo2bo21bo2bobo2bo23bo7bo2bob2o21bo4bob2o26bob2o23bobo9bobo27bobo37bobo27bobo37bobo16bo10bobo37bobo27bobo\$59b2o2bobo39b3o37b3o37b5o25b5o23b7o23b3ob3o23b3ob3o33b4obo22b6obo26b2obo24b2o10bo29bo39bo29bo39bo18bo10bo28bobo8bo29bo\$o62b2o537b3o2b2o35b2o\$b2o43bo17bo38b5o35b5o23bo11b5o25b5o25b5o25b5o25b5o35b5o25b5o25b5o35b5o25b5o35b5o25b5o18b2o15b5o18bo2bo3b5o27bo7b5o25b5o\$2o42bobo5b2o36bo11bo4bo34bo4bo24bo9bo4bo24bo4bo24bo4bo24bo4bo24bo4bo34bo4bo24bo4bo24bo4bo34bo4bo19b2o3bo4bo29b2o3bo4bo19b2o3bo4bo19b2o8b2o3bo4bo18b2obo2bo4bo34bo4bo24bo4bo\$4b2o39b2o5b2o37b2o8bo2bo36bo2bo25b3o8bo2bo26bo2bo26bo2bo26bo2bo26bo2bo36bo2bo26bo2bo26bo2bo21b2o13bo2bo21bo2bobo2bo32bobobo2bo18bo3bobobo2bo21bo10bobobo2bo24bobo2bo28bo7bo2bo26bo2bo\$3b2o8bo76b2o6bo2bob2o32b2o2bob2o32b2o2bob2o22b2o2bob2o22b2o2bob2o22b2o2bob2o22b2o2bob2o32b2o2bob2o22b2o2bob2o22b2o2bob2o22b2o8b2o2bob2o21b2obobob2o34bobob2o16bobo5bobob2o34bobob2o24bobob2o21bo7b2o5bob2o23bo2bob2o\$5bo8b2ob2o46bo31bobobo35bobobo35bobobo25bobobo25bobobo25bobobo25bobobo35bobobo25bobobo25bobobo24bo10bobobo21b2o4bobo27bo8b2obo20b2o4b2obo36b2obo26b2obo25bo5b2o3b2obo25bobobo6bo\$13b2o2bobo44bobo26b2o2bobobo37bobo29b3o5bobo27bobo27bobo27bobo27bobo37bobo27bobo27bobo37bobo20bobo4bobo25bobo11bo25bo3bo37bobo27bobo23b3o2b2o7bobo26bo2bo5bo\$17bo47b2o27b2o2b2ob2o23bo10bobob2o30bo5bob2o25b2ob2o25b2ob2o25b2ob2o25b2ob2o35b2ob2o25b2ob2o25b2ob2o35b2ob2o21bo3b2ob2o25b2o2b2o4b2ob2o20b2o3b2ob2o35bo2b2o25bo2b2o26bobo6bo2b2o28b2o4b3o\$42b2o49bo33b2o8b2o33bo3b2obo29bo29bo29bo29bo39bo29bo29bo39bo29bo25b2o6b2o4bo22bobo4bo38b2o28b2o31bo6b2o\$41bobo3bobo76b2o48bo2bo27bobo27bobo27bobo27bobo37bobo27bobo27bobo37bobo27bobo24bobo5bo4bobo24bo2bobo94bo51b2o\$43bo4b2o127b2o28b2o28b2o28b2o28b2o38b2o28b2o28b2o38b2o28b2o27bo10b2o28b2o95b2o8b2o39bobo\$48bo584bobo7bobo41bo\$645bo\$4bobo42b2o82b2o399b3o\$5b2o43b2o4bo75bobo401bo\$5bo43bo5bobo76bo400bo\$56b2o78b3o\$5b3o128bo\$5bo131bo\$6bo10\$33bo\$33b2o\$32bobo!`
mattiward

Posts: 25
Joined: February 8th, 2018, 3:19 am

### Re: Still Life Synthesis Thread

11.45 down to five gliders with a better cleanup:
`x = 30, y = 30, rule = B3/S2311bo\$11bobo\$11b2o4\$9bo\$8bo\$8b3o5\$9b2o\$8b2o\$10bo2\$5bo\$4b2o\$4bobo\$3o\$2bo\$bo4\$23b2o\$23bo2b2obo\$24bobob2o\$25bo!`

Also, 12.119 should be eight gliders, as hook w/tail takes four.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Still Life Synthesis Thread

Can this be finished?
`x = 20, y = 19, rule = B3/S232\$2b3o4\$2o\$2o2\$13b3o\$13bo2bo\$17bo\$14bobo\$2b2o\$2bobo\$3bo!`
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1041
Joined: July 1st, 2016, 3:58 pm

### Re: Still Life Synthesis Thread

AforAmpere wrote:Can this be finished?
`rle`

Here's an 8 glider solution:

`x = 72, y = 15, rule = B3/S2342bobo18b2ob2o\$43b2o19bobobo\$43bo20bo4bo\$65bo4bo\$43b2o19b2o5bo\$38bo5b2o24b2o\$38b2o3bo\$37bobo14bo\$53bo\$53b3o4bo\$58b2o\$2bo20b2o18b2o14b2o\$obo2b2o16bobo17bobo7b3o\$b2ob2o18bo19bo8bo\$6bo47bo!`

The junk on the right happened to be one I had already found syntheses before, so I didn't have to run chris_c's script again .

Goldtiger997

Posts: 531
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Still Life Synthesis Thread

I would like to know how this still life can be synthesized.
`x = 8, y = 6, rule = B3/S232o\$obo\$3bo2b2o\$b2obo2bo\$obob2o\$bo!`
mattiward

Posts: 25
Joined: February 8th, 2018, 3:19 am

Next