For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
AforAmpere
Posts: 1075
Joined: July 1st, 2016, 3:58 pm

16.68 in 12 gliders, instead of 15:

Code: Select all

x = 93, y = 99, rule = B3/S23
bo\$2bo\$3o26\$68bo\$67bo\$67b3o5\$46bo\$46bobo\$46b2o5\$28bo\$26bobo\$27b2o2\$37b
3o\$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)

Posts: 1938
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:

Code: Select all

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]

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

### Re: Synthesising Oscillators

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

Code: Select all

x = 93, y = 99, rule = B3/S23
bo\$2bo\$3o26\$68bo\$67bo\$67b3o5\$46bo\$46bobo\$46b2o5\$28bo\$26bobo\$27b2o2\$37b
3o\$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:

Code: Select all

x = 126, y = 39, rule = B3/S23
24bo\$25bo\$23b3o4\$74b2o\$73bo2bo\$5bo20b2o45bo2bo\$3bobo13bobo3b2o28b2o17b
2o\$4b2o14b2o5bo27b2o3bo10bo44b2o\$b2o17bo39b2o8bobo42bo2bob2o2b2o\$obo
56bobo9b2o42b2o2b2obo2bo\$2bo17b3o40b3o57b2o\$20bo42bo\$21bo42bo5\$33b3o\$
35bo\$34bo14\$121bo\$120b2o\$120bobo!
Bob Shemyakin

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Synthesising Oscillators

BobShemyakin wrote: 16.68 in 10G
Small reduction, 16.68 in 9G:

Code: Select all

x = 127, y = 36, rule = B3/S23
\$29bo\$27b2o\$28b2o45b2o\$74bo2bo\$6bo67bo2bo\$4bobo14bo34b2o17b2o\$5b2o12bo
bo3bo30b2o3bo10bo44b2o\$2b2o16b2o2b2o35b2o8bobo42bo2bob2o2b2o\$bobo20bob
o33bobo9b2o42b2o2b2obo2bo\$3bo60b3o57b2o\$64bo\$65bo5\$34b3o\$36bo\$35bo14\$
122bo\$121b2o\$121bobo!

PHPBB12345
Posts: 729
Joined: August 5th, 2015, 11:55 pm
Contact:

### Re: Synthesising Oscillators

12.3 -> 19.??? -> 26.???

Code: Select all

x = 149, y = 32, rule = LifeHistory
32.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\$3A8.2A17.4B6.3B6.4B
91.2A.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.D
20.2A.A.2A20.D20.2A.A.2A\$35.4B5.5BA20.D24.A.2A19.D24.A.2A\$36.4B4.2B3A
B42.3A45.3A\$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!

mniemiec
Posts: 1091
Joined: June 1st, 2013, 12:00 am

### Re: Synthesising Oscillators

PHPBB12345 wrote:12.3 -> 19.??? -> 26.???

Code: Select all

x = 149, y = 32, rule = LifeHistory
32.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\$3A8.2A17.4B6.3B6.4B
91.2A.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.D
20.2A.A.2A20.D20.2A.A.2A\$35.4B5.5BA20.D24.A.2A19.D24.A.2A\$36.4B4.2B3A
B42.3A45.3A\$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:

Code: Select all

x = 124, y = 157, rule = B3/S23
49bo\$50bo\$48b3o29\$87bo\$88boo\$87boo4\$105bo\$103boo\$104boo\$\$117booboo\$
118boboo\$91bo26bo\$92bo26b3o\$90b3o29bo\$119boobo\$91bo27booboo\$91boo\$90bo
bo4\$104bo\$103boo\$103bobo34\$46boo\$47boo\$46bo11\$obo\$boo\$bo7\$27booboo15b
ooboo25booboo15booboo15booboo\$28boboo16boboo26boboo16boboo16boboo\$10bo
8bobo6bo19bo29bo19bo19bo\$9bo9boo8b3o17b3o10bo16b3o17b3o17b3o\$9b3o8bo
10bo19bo8boo20bo19bo19bo\$40bobo18boo16b3o17b3o17b3o\$11bo29boo29boo5bo
12boo5bo19bo\$10boo29bo30boo18boo\$10bobo75b3o\$43boo9boo34bo\$44boo8bobo
32bo\$43bo10bo\$50b3o\$52bo\$51bo\$39bo\$39boo\$38bobo13\$17booboo15booboo15b
ooboo15booboo15booboo15booboo\$18boboo16boboo16boboo16boboo16boboo16bob
oo\$18bo19bo19bo19bo19bo19bo\$19b3o17b3o17b3o17b3o17b3o17b3o\$22bo19bo19b
o19bo19bo19bo\$19b3o17b3o17b3o8bo8boobo16boobo16boobo\$19bo18bo15bo3bo
11bobo6booboo15booboo15booboo\$27bo10boo12bobo3boo3boo5boo\$26bo26boo7bo
bo3bo\$23boob3o35bobboo9boo18boo\$22bobo31boo9bobo8boo18boo\$24bo30bobo\$
57bo37b3o\$26b3o68bo\$26bo69bo\$27bo!

Posts: 1938
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### 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:

Code: Select all

rle
Not the second one:

Code: Select all

x = 25, y = 20, rule = B3/S23
7bo\$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]

mniemiec
Posts: 1091
Joined: June 1st, 2013, 12:00 am

### 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:

Code: Select all

x = 111, y = 18, rule = B3/S23
3bo19bo19bo19bo19bo19bo\$3b3o17b3o17b3o17b3o17b3o17b3o\$6boboo16boboo16b
oboo16boboo16boboo16boboo\$3booboboo13booboboo13booboboo13booboboo13boo
boboo13booboboo\$3boobo16boobo16boobo16boobo16boobo16boobo\$7b3o17b3o17b
3o17b3o17b3o17b3o\$9bo20bo19bo19bo19bo19bo\$bo27boo18boo18bo19bo17b3o\$bb
o65bo19bo18bo\$3oboo46bobo13boo18boo\$4bobo45boo25boo\$4bo37boo9bo24bobo
bboo\$43boobbo32boboo\$3o39bo3boo6b3o18boo7bo\$bbo43bobo5bo19bobo\$bo53bo
20bo19bo\$95boo\$95bobo!

PHPBB12345
Posts: 729
Joined: August 5th, 2015, 11:55 pm
Contact:

### 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:

Code: Select all

RLE

Code: Select all

x = 654, y = 663, rule = B3/S23
2bo648bo\$3bo647bobo\$b3o647b2o\$648bo\$647bo\$647b3o5\$645bo\$644bo\$644b3o4\$
627bo\$626bo\$626b3o2\$624bo\$623bo\$623b3o\$635bo\$633b2o\$634b2o7\$617bo\$615b
2o\$616b2o6\$42bo565bo\$40bobo565bobo\$41b2o565b2o21\$593bo\$45bo547bobo\$43b
obo547b2o\$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\$520b
2o7\$503bo\$501b2o\$502b2o6\$148bo345bo\$146bobo345bobo\$147b2o345b2o21\$479b
o\$151bo327bobo\$149bobo327b2o\$150b2o12\$464bo\$462b2o\$463b2o15\$444bo\$442b
2o\$443b2o6\$190bo\$191bo\$189b3o\$214bo208bo\$215bo207bobo\$213b3o207b2o\$
420bo\$419bo\$419b3o5\$417bo\$416bo\$416b3o4\$399bo\$398bo\$398b3o2\$396bo\$395b
o\$395b3o\$407bo\$405b2o\$406b2o7\$389bo\$387b2o\$388b2o6\$254bo125bo\$252bobo
125bobo\$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\$389b
obo3\$397bo\$245bo150b2o\$245b2o149bobo\$244bobo\$389b3o\$389bo\$390bo7\$401b
2o\$400b2o\$402bo6\$228bo181bo\$228b2o179b2o\$227bobo179bobo12\$418b2o\$417b
2o\$419bo\$212b3o\$214bo\$213bo9\$425b2o\$425bobo\$425bo2\$189b3o\$191bo\$190bo
5\$182bo\$182b2o\$181bobo253b2o6b2o\$436b2o7bobo\$438bo6bo4\$170b2o\$169bobo
270b2o\$171bo269b2o\$166b2o275bo\$165bobo\$167bo287bo\$454b2o\$454bobo3\$173b
o\$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\$121bobo399bo
bo12\$532b2o\$531b2o\$533bo\$106b3o\$108bo\$107bo9\$539b2o\$539bobo\$539bo2\$83b
3o\$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\$618b
o7\$629b2o\$628b2o\$630bo6\$16bo621bo\$16b2o619b2o\$15bobo619bobo12\$646b2o\$
645b2o\$647bo\$3o\$2bo\$bo!

Extrementhusiast
Posts: 1817
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Synthesising Oscillators

Down to twelve gliders total (including three from an eater-to-integral, not shown here):

Code: Select all

x = 37, y = 33, rule = B3/S23
35bo\$34bo\$34b3o5\$17bo\$15bobo\$16b2o2\$27bo\$26bo\$26b3o3\$15bo\$5bo9b3o\$3bob
o12bo\$4b2o11b2o7\$8b2o14b2o\$9b2o4b2o7bobo\$b2o5bo5bobo7bo\$obo13bo\$2bo15b
3o\$18bo\$19bo!
Fourteen-glider variation (same inclusion):

Code: Select all

x = 33, y = 27, rule = B3/S23
21bo8bo\$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):

Code: Select all

x = 15, y = 12, rule = B3/S23
3bo\$3b3o5bobo\$6bo4b2o\$5b2o5bo2\$b2o5bo3b3o\$obo4b2o3bo\$2bo4bobo3bo2\$4b2o
\$4bobo\$4bo!
While searching for these, I ended up finding this:

Code: Select all

x = 30, y = 26, rule = B3/S23
14b2o\$14bobo\$16bo\$16b3o\$19bo\$18b2o\$27bo\$27bobo\$27b2o2\$24b3o\$24bo\$9b2o
14bo\$8bobo\$10bo3b2o\$15b2o\$14bo5\$13b3o\$b2o9bo2bo\$obo12bo\$2bo12bo\$12bobo
!
...which can be followed by this:

Code: Select all

x = 30, y = 21, rule = B3/S23
27bo\$11b2o14bobo\$11bobo9bo3b2o\$13bo8bo\$13b2o7b3o\$15bo\$13b2obo6bo\$12bo
2bo6b2o\$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):

Code: Select all

x = 51, y = 38, rule = B3/S23
49bo\$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)

mattiward
Posts: 28
Joined: February 8th, 2018, 3:19 am

### Re: Synthesising Oscillators

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

Code: Select all

x = 6, y = 7, rule = B3/S23
4b2o\$2obobo\$2obo\$3b2o\$2o\$ob3o\$4bo!
Please get back to me as soon a possible.

AforAmpere
Posts: 1075
Joined: July 1st, 2016, 3:58 pm

### 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:

Code: Select all

x = 107, y = 35, rule = B3/S23
105bo\$104bo\$104b3o2\$14bo\$13bo79b2o4bo\$13b3o36b2o39b2o3bo\$52b2o5bo38b3o
\$58bo\$2bo13b3o39b3o\$3bo12bo\$b3o13bo4bo22bo40bo\$21bo24b2o38b3obo\$21b3o
21b2o42b2o4b2o\$86b2o7b2o\$87bob2o\$57b2o26bobob2o\$57b2o26b2o\$44b3o\$b2o\$o
bo\$2bo86b3o\$24b3o\$24bo\$25bo2\$94bo\$93b2o\$41b3o49bobo\$43bo\$42bo2\$57b3o\$
57bo\$58bo!
EDIT, 12:

Code: Select all

x = 89, y = 52, rule = B3/S23
78bo\$76b2o6bo\$77b2o4bo\$83b3o10\$73bo\$72bo\$72b3o\$2bo\$3bo55bo\$b3o18bo37b
2o\$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)

gmc_nxtman
Posts: 1148
Joined: May 26th, 2015, 7:20 pm

### Re: Synthesising Oscillators

10:

Code: Select all

x = 113, y = 31, rule = B3/S23
33bo\$31b2o\$32b2o4\$36bo\$35bo\$35b3o5\$2bobo\$3b2o\$3bo2\$44bo31bo31bo\$15bobo
26b3obo27b3obo27b3obo\$15b2o30b2o4b2o24b2o4b2o24b2o\$16bo27b2o7b2o21b2o
7b2o21b2o\$45bob2o28bob2o7b2o19bob2o\$13b2o28bobob2o26bobob2o7bobo16bobo
b2o\$12b2o29b2o30b2o11bo18b2o\$2o6bobo3bo\$b2o6b2o\$o8bo\$47b3o29b3o\$33b2o
48b2o\$33bobo47bobo\$33bo49bo!

mattiward
Posts: 28
Joined: February 8th, 2018, 3:19 am

### Re: Synthesising Oscillators

How many gliders would it take to synthesize this still life starting from scratch?

Code: Select all

x = 7, y = 7, rule = B3/S23
4b2o\$2obo2bo\$2obobo\$3b2o\$2o\$ob3o\$4bo!
Last edited by mattiward on February 11th, 2018, 5:39 am, edited 1 time in total.

mniemiec
Posts: 1091
Joined: June 1st, 2013, 12:00 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:

Code: Select all

x = 37, y = 24, rule = B3/S23
bbo10bo\$3boo7bo\$bboo8b3o\$10bo\$8bobo\$9boo\$\$14bobo\$14boo\$15bo\$4boo28boo\$
oobobo11bo12boobobbo\$oobo13bobo10boobobo\$3boo12boo14boo\$oo28boo\$ob3o
25bob3o\$4bo29bo5\$16bo\$15boo\$15bobo!

AforAmpere
Posts: 1075
Joined: July 1st, 2016, 3:58 pm

### Re: Still Life Synthesis Thread

The whole still-life can be done in 9:

Code: Select all

x = 91, y = 78, rule = B3/S23
4\$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:

Code: Select all

x = 11, y = 11, rule = B3/S23
9bo\$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)

mattiward
Posts: 28
Joined: February 8th, 2018, 3:19 am

### Re: Still Life Synthesis Thread

I synthesized this still life from 16 gliders.

Code: Select all

x = 6, y = 10, rule = B3/S23
2b2o\$2bobo\$4bo\$4b2o2\$2b4o\$2bo2bo\$3bo\$3o\$o!
Any improvements?

mniemiec
Posts: 1091
Joined: June 1st, 2013, 12:00 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):

Code: Select all

x = 192, y = 61, rule = B3/S23
168bo\$169bo\$167b3o\$\$173bo\$171boo\$22boo18boo18boo18boo18boo18boo18boo
18boo8boo8boo\$23bo19bo19bo19bo8bobo8bo19bo19bo19bo19bo\$bboo19bobo17bob
o17boboo16boboo5boo9boboo16boboo16boboo16boboo16boboo3boo\$3boo19boo18b
oo18bobo17bobo6bo10bobo17bobo5bobo9bobo17bobo17bobo4bo\$bbo3boo41bo15bo
19bo4bo15boboo16boboobboobb3o7boboo16boboo16bob3o\$6bobo40bobo37boo14b
ooboo15booboo3bobbo8boobobo14boobobo14boobo\$6bo39booboo33bo4bobo45bo
11bo19bo\$45bobo36boo46boo38boo\$47bo35bobo45boo40boobbo\$87boo44bo38bo3b
oo\$87bobo79bo6bobo\$87bo81boo\$168bobo18\$120bobo\$120boo\$121bo\$115bo\$74bo
38bobo10bo\$73bo40boo8boo\$73b3o49boo\$\$70bobo44bo\$3bo67boo42bobo\$bbo31bo
bo34bo44boo24boo18boo18boo\$bb3o29boo70boo35bo19bo19bo\$20boo13bo4boo18b
oo18boo13boo3boobbo4bo15boo3boo11boboo3boo11boboo3boo11boboo3boo\$bo19b
o19bo13bo5bo13bo5bo12bobo4bo8bo13bobo4bo12bobo4bo12bobo4bo12bobo4bo\$oo
16b3o11bo5b3o13bobob3o13bobob3o13bobob3o3bo5bo13bobob3o15bob3o15bob3o
15bob3o\$obo15bo14bo4bo16boobo16boobo16boobo6b6o6boo6boobo16boobo16boob
o16boobo\$31b3o82bobo\$118bo\$30b3o87b3o\$30bo89bo24boo18boo\$31bo89bo23boo
18boo\$\$128boo37b3o\$128bobo36bo\$128bo39bo!

PHPBB12345
Posts: 729
Joined: August 5th, 2015, 11:55 pm
Contact:

### Re: Still Life Synthesis Thread

How to connect two splitted still life?

Code: Select all

x = 49, y = 35, rule = LifeHistory
15.D17.D\$15.2D15.2D\$15.3D13.3D\$15.4D11.4D\$A2.A2.A2.A2.D2.5D9.5D2.D2.A
2.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\$49A
2\$49A\$A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A2.A!

AforAmpere
Posts: 1075
Joined: July 1st, 2016, 3:58 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:

Code: Select all

x = 66, y = 45, rule = B3/S23
5\$6b3o\$48bo\$48bo\$48bo3\$6b3o48bo\$48bo6bo4bo\$48bo5bo5bo\$48bo11bo\$5b2o48b
o2bo\$5b2o43bo5b3o\$14b3o32bobo\$49b2o4\$8bo6bo\$9bo4bobo\$7bobo3b2ob2o\$8b2o
4bo2bo\$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)

mattiward
Posts: 28
Joined: February 8th, 2018, 3:19 am

### Re: Still Life Synthesis Thread

Original Eater 3 with minimum population from 72 gliders:

Code: Select all

x = 690, y = 362, rule = B3/S23
473bobo\$473b2o\$474bo2\$214bo\$207bo7b2o3bo\$208bo5b2o2bobo\$206b3o10b2o4\$
458bo\$458bobo\$232bo225b2o\$233bo\$231b3o8\$233bo\$231bobo\$232b2o2\$445bo\$
443b2o\$233bo210b2o\$234bo10bobo\$232b3o11b2o\$246bo6\$435bo\$434bo\$280bo
153b3o\$281b2o\$280b2o3\$431bobo\$431b2o\$432bo\$280bo\$278bobo154bobo\$279b2o
154b2o\$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\$359b2o2bo
bo\$350bo12b2o\$346bo4b2o11bo\$344bobo3b2o\$345b2o7b2o\$353b2o8bo\$355bo8b2o
b2o\$363b2o2bobo\$367bo\$342b2o\$341bobo3bobo\$343bo4b2o\$348bo2\$349b2o3bobo
26b2o\$350b2o3b2o26bobo\$349bo5bo27bo2\$355b3o\$355bo\$356bo3\$327bo\$327b2o\$
326bobo5\$333bo\$326b2o5b2o\$325bobo4bobo\$327bo\$314b3o46b3o\$316bo46bo\$
315bo48bo4\$302b2o\$301bobo\$303bo11\$313b2o\$286bo25bobo\$286b2o26bo\$285bob
o14\$274b3o\$276bo\$275bo29\$239b2o\$238bobo\$240bo6\$240bo\$240b2o\$239bobo2\$
225bo11bo\$225b2o10b2o\$224bobo2b3o4bobo\$231bo\$230bo\$233b2o\$232bobo\$234b
o4\$234b3o\$236bo\$235bo10\$211b2o\$210bobo\$212bo\$205bo\$205b2o8b2o\$204bobo
7bobo\$216bo41\$81bo\$79b2o330bo\$80b2o197bo129b2o\$278bo127bo3b2o\$147bobo
63bobo62b3o60bobo60bobo\$148b2o63b2o61bo64b2o62b2o\$148bo65bo62bo64bo\$
275b3o129bo\$102bobo78bo222bo\$59bo43b2o76bobo2bo117bo101b3o\$58bo44bo50b
o27b2o2bobo19bo37bo30bobo25bo2bo27bo33bo206bo\$58b3o45bobo44bo32b2o21bo
35bo31b2o24b3obo29bo30bobo32bobo5bo164bo\$52bo53b2o45b3o51b3o35b3o30bo
28b3o3bo21b3o31b2o28b2o3b2o4bo26bo138b3o\$53bo53bo205bobo84b2o2bo5b3o
23bo137bo\$51b3o102b2o30b2o15b2o36b2o68b2o18b2o36b2o26bo36b3o133bobo\$
59bo45b2o37b2ob2o7bobo25b2o2bobo13bobo7b2o3b2o21bobo4b2o21b2o5b2o21b2o
2bo2b2o21bobo7b2o26bobo61bo10bo29bo39bo29bo27b2o10bo29bo39bo29bo\$60b2o
42bo2bo36bo3bo7bo27bo5bo15bo7bo2bo2bo21bo4bo2bo21bo2bobo2bo21bo2bobo2b
o23bo7bo2bob2o21bo4bob2o26bob2o23bobo9bobo27bobo37bobo27bobo37bobo16bo
10bobo37bobo27bobo\$59b2o2bobo39b3o37b3o37b5o25b5o23b7o23b3ob3o23b3ob3o
33b4obo22b6obo26b2obo24b2o10bo29bo39bo29bo39bo18bo10bo28bobo8bo29bo\$o
62b2o537b3o2b2o35b2o\$b2o43bo17bo38b5o35b5o23bo11b5o25b5o25b5o25b5o25b
5o35b5o25b5o25b5o35b5o25b5o35b5o25b5o18b2o15b5o18bo2bo3b5o27bo7b5o25b
5o\$2o42bobo5b2o36bo11bo4bo34bo4bo24bo9bo4bo24bo4bo24bo4bo24bo4bo24bo4b
o34bo4bo24bo4bo24bo4bo34bo4bo19b2o3bo4bo29b2o3bo4bo19b2o3bo4bo19b2o8b
2o3bo4bo18b2obo2bo4bo34bo4bo24bo4bo\$4b2o39b2o5b2o37b2o8bo2bo36bo2bo25b
3o8bo2bo26bo2bo26bo2bo26bo2bo26bo2bo36bo2bo26bo2bo26bo2bo21b2o13bo2bo
21bo2bobo2bo32bobobo2bo18bo3bobobo2bo21bo10bobobo2bo24bobo2bo28bo7bo2b
o26bo2bo\$3b2o8bo76b2o6bo2bob2o32b2o2bob2o32b2o2bob2o22b2o2bob2o22b2o2b
ob2o22b2o2bob2o22b2o2bob2o32b2o2bob2o22b2o2bob2o22b2o2bob2o22b2o8b2o2b
ob2o21b2obobob2o34bobob2o16bobo5bobob2o34bobob2o24bobob2o21bo7b2o5bob
2o23bo2bob2o\$5bo8b2ob2o46bo31bobobo35bobobo35bobobo25bobobo25bobobo25b
obobo25bobobo35bobobo25bobobo25bobobo24bo10bobobo21b2o4bobo27bo8b2obo
20b2o4b2obo36b2obo26b2obo25bo5b2o3b2obo25bobobo6bo\$13b2o2bobo44bobo26b
2o2bobobo37bobo29b3o5bobo27bobo27bobo27bobo27bobo37bobo27bobo27bobo37b
obo20bobo4bobo25bobo11bo25bo3bo37bobo27bobo23b3o2b2o7bobo26bo2bo5bo\$
17bo47b2o27b2o2b2ob2o23bo10bobob2o30bo5bob2o25b2ob2o25b2ob2o25b2ob2o
25b2ob2o35b2ob2o25b2ob2o25b2ob2o35b2ob2o21bo3b2ob2o25b2o2b2o4b2ob2o20b
2o3b2ob2o35bo2b2o25bo2b2o26bobo6bo2b2o28b2o4b3o\$42b2o49bo33b2o8b2o33bo
3b2obo29bo29bo29bo29bo39bo29bo29bo39bo29bo25b2o6b2o4bo22bobo4bo38b2o
28b2o31bo6b2o\$41bobo3bobo76b2o48bo2bo27bobo27bobo27bobo27bobo37bobo27b
obo27bobo37bobo27bobo24bobo5bo4bobo24bo2bobo94bo51b2o\$43bo4b2o127b2o
28b2o28b2o28b2o28b2o38b2o28b2o28b2o38b2o28b2o27bo10b2o28b2o95b2o8b2o
39bobo\$48bo584bobo7bobo41bo\$645bo\$4bobo42b2o82b2o399b3o\$5b2o43b2o4bo
75bobo401bo\$5bo43bo5bobo76bo400bo\$56b2o78b3o\$5b3o128bo\$5bo131bo\$6bo10\$
33bo\$33b2o\$32bobo!

Extrementhusiast
Posts: 1817
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Still Life Synthesis Thread

11.45 down to five gliders with a better cleanup:

Code: Select all

x = 30, y = 30, rule = B3/S23
11bo\$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)

AforAmpere
Posts: 1075
Joined: July 1st, 2016, 3:58 pm

### Re: Still Life Synthesis Thread

Can this be finished?

Code: Select all

x = 20, y = 19, rule = B3/S23
2\$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)

Goldtiger997
Posts: 570
Joined: June 21st, 2016, 8:00 am

### Re: Still Life Synthesis Thread

AforAmpere wrote:Can this be finished?

Code: Select all

rle
Here's an 8 glider solution:

Code: Select all

x = 72, y = 15, rule = B3/S23
42bobo18b2ob2o\$43b2o19bobobo\$43bo20bo4bo\$65bo4bo\$43b2o19b2o5bo\$38bo5b
2o24b2o\$38b2o3bo\$37bobo14bo\$53bo\$53b3o4bo\$58b2o\$2bo20b2o18b2o14b2o\$obo
2b2o16bobo17bobo7b3o\$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 .

mattiward
Posts: 28
Joined: February 8th, 2018, 3:19 am

### Re: Still Life Synthesis Thread

I would like to know how this still life can be synthesized.

Code: Select all

x = 8, y = 6, rule = B3/S23
2o\$obo\$3bo2b2o\$b2obo2bo\$obob2o\$bo!