## 17 in 17: Efficient 17-bit synthesis project

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

### Re: 17 in 17: Efficient 17-bit synthesis project

Goldtiger997 wrote:Here's a 3 glider reduction using my cheaper method of making the B-heptomino. The cleanup may still be reducible:

Thanks! That reduces the hardest xs17 from 37 gliders to 35. Shaving off the extra two gliders might be possible by removing the three cleanup gliders and gencolsing it with another glider.
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calcyman

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### Re: 17 in 17: Efficient 17-bit synthesis project

I need a two-sided method of making the dove at generation 9 here so as to synthesise the resulting SL efficiently.
`x = 21, y = 35, rule = LifeHistoryA\$.2A\$2A12\$18.A\$18.A.A\$18.2A\$13.A\$11.A.A\$12.2A3\$9.D\$8.D.D5.A\$7.D2.D3.A.A\$7.D.D5.2A\$7.2D10.2A\$12.A5.2A\$12.2A6.A\$11.A.A3\$16.A\$15.2A\$15.A.A!`

And this might be a way to another one in question – the one with the most soups (35):
`x = 20, y = 15, rule = B3/S235b2o\$4bo2bo\$4bo2bo\$5b2o\$10b2o\$9bo2bo\$10bobo\$11bo3\$18b2o\$2o9bobo3bobo\$2o9b3o3b2o\$12bo\$15b2o!`

Edit:: Actually, never mind for the second one...
`x = 91, y = 30, rule = B3/S2312bo\$10b2o\$11b2o3\$8bobo\$8b2o78bo\$9bo78bobo\$88b2o2\$74b2o9b3o\$74bobo\$13b2o60bo7bo5bo\$12b2o57b3o9bo5bo\$14bo58bo9bo5bo\$72bo\$85b3o\$78b2o\$78bobo\$b3o76bo\$79bob2ob2o\$79bo2bob2o\$78b2obo5b2o\$77bo2bo6bobo\$10b2o8b2o4b2o50b2o7bo\$9bobo8bobo2b2o\$11bo8bo6bo\$3o\$2bo\$bo!`
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Freywa

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### Re: 17 in 17: Efficient 17-bit synthesis project

Freywa wrote:Edit:: Actually, never mind for the second one...
`rle`

`x = 90, y = 39, rule = B3/S2327bo\$25b2o\$26b2o7\$12bo\$10b2o\$11b2o3\$8bobo\$8b2o\$9bo5\$13b2o\$12b2o\$14bo3\$78b2o\$78bobo\$b3o76bo\$79bob2ob2o\$79bo2bob2o\$78b2obo5b2o\$77bo2bo6bobo\$10b2o8b2o4b2o50b2o7bo\$9bobo8bobo2b2o\$11bo8bo6bo\$3o\$2bo\$bo!`
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### Re: 17 in 17: Efficient 17-bit synthesis project

Freywa wrote:I need a two-sided method of making the dove at generation 9 here so as to synthesise the resulting SL efficiently.
`x = 21, y = 35, rule = LifeHistoryA\$.2A\$2A12\$18.A\$18.A.A\$18.2A\$13.A\$11.A.A\$12.2A3\$9.D\$8.D.D5.A\$7.D2.D3.A.A\$7.D.D5.2A\$7.2D10.2A\$12.A5.2A\$12.2A6.A\$11.A.A3\$16.A\$15.2A\$15.A.A!`

Here's a method, though a cheaper one almost certainly exists:

`x = 21, y = 35, rule = B3/S23o\$b2o\$2o12\$18bo\$18bobo\$18b2o\$13bo\$11bobo\$12b2o3\$9bo\$8bobo5bo\$7bo2bo3bobo\$7bobo5b2o\$3bo4bo10b2o\$bobo8bo5b2o\$2b2o8b2o6bo\$11bobo2\$3b3o\$5bo10bo\$4bo10b2o\$15bobo!`
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Kazyan

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### Re: 17 in 17: Efficient 17-bit synthesis project

Kazyan wrote:Here's a method, though a cheaper one almost certainly exists:
`x = 21, y = 35, rule = B3/S23o\$b2o\$2o12\$18bo\$18bobo\$18b2o\$13bo\$11bobo\$12b2o3\$9bo\$8bobo5bo\$7bo2bo3bobo\$7bobo5b2o\$3bo4bo10b2o\$bobo8bo5b2o\$2b2o8b2o6bo\$11bobo2\$3b3o\$5bo10bo\$4bo10b2o\$15bobo!`

Doesn't work. One of the gliders would interact with the mango beforehand.
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Freywa

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### Re: 17 in 17: Efficient 17-bit synthesis project

calcyman wrote:Thanks! That reduces the hardest xs17 from 37 gliders to 35. Shaving off the extra two gliders might be possible by removing the three cleanup gliders and gencolsing it with another glider.

Here's a 2G reduction to the creation of the carrier on paperclip, bringing the cost down to 33 gliders:

`x = 117, y = 50, rule = B3/S232bo\$obo\$b2o\$40bo\$38b2o\$39b2o10\$114bo\$114bobo\$40bobo71b2o\$40b2o\$41bo69bo\$110bobo\$110bobo\$37bo63b2o8bo\$35b2o63bo2bob2o\$36b2o62bob2obo2bo\$99b2obo4b2o\$99bo2bo\$100b2o7\$39bo\$38b2o\$38bobo8\$2b2o\$3b2o\$2bo\$40b2o\$40bobo\$40bo!`

Now all 17-bit still-lifes can be synthesized in less than 2 gliders per bit!

Freywa wrote:Doesn't work. One of the gliders would interact with the mango beforehand.

Among other things, this can be solved with the addition of a single kickback:

`x = 29, y = 42, rule = B3/S23obo\$b2o\$bo11\$26bo\$25bo\$25b3o\$13bo\$14bo\$12b3o\$18bo\$19b2o\$18b2o4\$3bo9bo\$4bo7bobo\$2b3o6bo2bo7bo\$11bobo7b2o\$12bo8bobo3\$27bo\$26b2o\$12b2o12bobo\$13b2o\$12bo\$4b2o\$3bobo\$5bo17b2o\$22b2o\$24bo!`

Goldtiger997

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### Re: 17 in 17: Efficient 17-bit synthesis project

Goldtiger997 wrote:
calcyman wrote:Thanks! That reduces the hardest xs17 from 37 gliders to 35. Shaving off the extra two gliders might be possible by removing the three cleanup gliders and gencolsing it with another glider.

Here's a 2G reduction to the creation of the carrier on paperclip, bringing the cost down to 33 gliders:

`x = 117, y = 50, rule = B3/S232bo\$obo\$b2o\$40bo\$38b2o\$39b2o10\$114bo\$114bobo\$40bobo71b2o\$40b2o\$41bo69bo\$110bobo\$110bobo\$37bo63b2o8bo\$35b2o63bo2bob2o\$36b2o62bob2obo2bo\$99b2obo4b2o\$99bo2bo\$100b2o7\$39bo\$38b2o\$38bobo8\$2b2o\$3b2o\$2bo\$40b2o\$40bobo\$40bo!`

Now all 17-bit still-lifes can be synthesized in less than 2 gliders per bit!

Well done!

Indeed, that's something of an understatement; we actually have the stronger global result:

Now all synthesisable still-lifes can be synthesized in less than 2 gliders per bit!

by use of the 35-glider RCT mechanism for >= 18-bit still lifes.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

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### Re: 17 in 17: Efficient 17-bit synthesis project

Carrier on paperclip is two still-lifes, not one.
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

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### Re: 17 in 17: Efficient 17-bit synthesis project

Gamedziner wrote:Carrier on paperclip is two still-lifes, not one.

It's on the critical path to synthesise this 17-bit still-life: https://catagolue.appspot.com/object/xs ... z39c/b3s23
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

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### Re: 17 in 17: Efficient 17-bit synthesis project

calcyman wrote:Now all synthesisable still-lifes can be synthesized in less than 2 gliders per bit!

by use of the 35-glider RCT mechanism for >= 18-bit still lifes.

You know, at some point we really ought to put together a working sample of the glider-producing crystallization and decay mechanisms in the 35-glider RCT design. The wiki article isn't specific enough yet to reassure a casual reader that the construction mechanism will really work.

EDIT: Looks like there's some out-of-date wording still in the wiki article, like

... the receding block-laying switch engine means that the construction arm must drag each temporary elbow increasingly far, such that the time taken to effect an n-slow-glider synthesis is 2^((6 + o(1))n^2). By self-modifying circuitry, it is possible to improve this to 2^(O(n)) without increasing the number of gliders in the initial synthesis.

The first sentence isn't true for the latest 35-glider crystallization/decay design, but my big-O allergies are acting up again so I'm not sure exactly how to correct the wording.

Meanwhile, congratulations to everyone on getting past a really improbable milestone! As recently as a year ago this result would have been pretty far beyond the bounds of believability.

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### Re: 17 in 17: Efficient 17-bit synthesis project

xs17_gbdz122c871 looks like one of the bashiest and least efficient syntheses I've seen. Is there no way to directly convert from the snake to the eater?
`#CSYNTH xs17_gbdz122c871 costs 18 gliders (true).#CLL state-numbering gollyx = 207, y = 29, rule = B3/S23142bo\$140bobo\$141b2o3\$190bobo\$98bo92b2o\$99b2o4bo85bo\$obo11bo78bo4b2o5bobo\$b2o9b2o80bo10b2o\$bo11b2o77b3o\$46b2o54b2o37bo\$47bo55bo35bobo11bob2o45b2o\$46bo42b3o10bo37b2o11b2obo42bobobo\$12bo33b2o43bo3b3o4b2o53b2o40b2o3b2o\$12bobo33bo41bo6bo6bo54bo46bo\$12b2o34bo47bo7bo33b2o19bo46bo\$46b2o54b2o35b2o16b2o36bo8b2o\$46bo9bo45bo35bo18bo38b2o6bo\$14b2o31bo8bobo44bo54bo36b2o8bo\$13b2o31b2o8b2o44b2o53b2o45b2o\$15bo36b2o\$51bo2bo141b2o\$52b2o141bobo\$197bo\$140b2o\$141b2o50b2o\$140bo51bobo\$194bo!`
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

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### Re: 17 in 17: Efficient 17-bit synthesis project

Yes, the standard method would interfere with the other snake.
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Freywa

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### Re: 17 in 17: Efficient 17-bit synthesis project

This might help for a different expensive object. Apply a common phi spark predecessor and a good dot spark from the right (a bad one is pictured).

`x = 15, y = 17, rule = B3/S2314bo\$12b2o\$13b2o\$3bo3b2o\$4b3o\$10bobo\$2bo7b2o\$bobo7bo\$bobo\$2ob3o4b2o\$6bo2bo2bo\$5bo4b2o\$5b2o2\$10b3o\$12bo\$11bo!`

EDIT: Yep. This step can probably be done in 7 gliders, but here's the proof of concept in 10:

`x = 32, y = 32, rule = B3/S23obo15bo\$b2o5bo8bo\$bo7bo2bo4b3o\$7b3o3b2o\$12b2o2\$19bobo\$19b2o\$8bobo9bo\$9b2o\$9bo\$23bobo\$23b2o\$24bo3\$10bo\$9bobo\$9bobo\$8b2ob3o13b3o\$14bo12bo\$13bo14bo\$13b2o3\$23b3o\$23bo\$24bo2\$30bo\$29b2o\$29bobo!`
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Kazyan

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### Re: 17 in 17: Efficient 17-bit synthesis project

Kazyan wrote:EDIT: Yep. This step can probably be done in 7 gliders, but here's the proof of concept in 10:

`x = 32, y = 32, rule = B3/S23obo15bo\$b2o5bo8bo\$bo7bo2bo4b3o\$7b3o3b2o\$12b2o2\$19bobo\$19b2o\$8bobo9bo\$9b2o\$9bo\$23bobo\$23b2o\$24bo3\$10bo\$9bobo\$9bobo\$8b2ob3o13b3o\$14bo12bo\$13bo14bo\$13b2o3\$23b3o\$23bo\$24bo2\$30bo\$29b2o\$29bobo!`

I'll raise you 9:
`x = 31, y = 32, rule = B3/S2330bo\$8bobo17b2o\$9b2o18b2o\$9bo2\$11bobo\$o10b2o\$b2o9bo\$2o2\$15bo\$13b2o\$2bo11b2o\$3b2o\$2b2o14bo\$18bobo\$18b2o4\$22bo\$4bo17bobo\$3bobo16b2o\$3bobo\$2b2ob3o\$8bo\$7bo\$7b2o2\$18b2o\$17b2o\$19bo!`
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### Re: 17 in 17: Efficient 17-bit synthesis project

This looks too simple but I can't find a synthesis from it:
`x = 9, y = 16, rule = B3/S234b2o\$4b2o3\$3b2o\$3b2o4\$7bo\$bo3bo2bo\$bo3bo\$bo3bo\$bo2\$3o!`

`x = 11, y = 19, rule = B3/S235b2o\$5b2o4\$5b3o\$8b2o\$5b2o\$5bo\$5bobo2bo\$4b2obobo\$5bo3bo\$5b2ob2o\$6bobo\$7bo\$bo\$obo\$o2bo\$b2o!`

On the other hand, a synthesis that does work:
`x = 207, y = 57, rule = B3/S2387bo\$88b2o\$87b2o5\$97bo\$98b2o\$97b2o\$125bo\$124bo\$124b3o3\$147bo\$145b2o\$146b2o8\$91bobo\$b2o89b2o\$o2bo88bo\$bobo\$2bo108b2o86bo\$110bo2bo85bobo\$97bo13bobo85b2o\$98b2o12bo84bo6bo\$97b2o97bobo5bobo\$195bo2bo5b2o\$196b2o3b2o\$191b2o8b2o\$4bo185bobo\$2b2o185bo3b2o2b2o\$3b2o185b3o2bo2bo\$192bo2b2o\$4bo\$3b2o\$3bobo3\$112b3o2\$103bo\$103b2o\$102bobo\$99bo\$99b2o\$98bobo\$89bo\$89b2o\$88bobo!`
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Freywa

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### Re: 17 in 17: Efficient 17-bit synthesis project

calcyman wrote:Now all synthesisable still-lifes can be synthesized in less than 2 gliders per bit!

by use of the 35-glider RCT mechanism for >= 18-bit still lifes.
All synthesisable strict still-lifes. We don't know that we can place every 8-bitter next to every 9-bitter in any orientation with only 34 gliders.

Macbi

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### Re: 17 in 17: Efficient 17-bit synthesis project

Another one that does work:
`x = 255, y = 91, rule = B3/S23bo97bo\$2bo95bo\$3o95b3o9\$87bo\$85b2o\$86b2o9\$31bo\$32bo\$30b3o11\$56b2o\$55bo2bo\$56bobo185b3o\$57bo\$242bo5bo\$242bo5bo\$242bo5bo\$235b2obo\$234bob2obo4b3o\$234bo4bo12b3o\$235b4o13bo\$236bo16bo\$234bo\$43bobo188b2o\$44b2o\$44bo5\$86bo\$85b2o\$85bobo\$31b2o19bo\$32b2o17b2o\$31bo15b2o2bobo\$46bobo\$28bo19bo\$28b2o\$27bobo24\$15b3o\$17bo\$16bo!`

The remaining SLs as of now have at most 23 C1 soups.

Edit: Natural component:
`x = 26, y = 31, rule = B3/S237bo5bo\$5bobo4bo\$6b2o4b3o2\$9bo\$9bobo\$9b2o6\$20b3o4\$22b2o\$22bobo\$23bobo\$24bo5\$6b2o\$5bobo\$7bo\$b2o\$obo19b2o\$2bo19bobo\$22bo!`

Edit 2: This looks tantalisingly simple. There are a few similar soups for the same SL that have a mirrored dock intermediate.
`x = 23, y = 25, rule = B3/S232o2b2o\$o4bo\$b4o5bo\$10bo\$b4o5bo\$o4bo\$2o2b2o4\$8bo\$7b4o\$5bo5bo\$4bo2b2o2bo\$8b4o\$4b2ob2o\$7b2o2\$14bo\$13bobo\$13bob2o\$13bo2bo\$14bob2o2b2o\$16bo2bo2bo\$15bo4b2o!`

Edit 3: The current table of expensives. 271 remain.
`x = 604, y = 217, rule = 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Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: 17 in 17: Efficient 17-bit synthesis project

A component that solves a family of related expensive objects:

`x = 138, y = 16, rule = B3/S238b2o38b2o37b2o38b2o\$8bo39bo38bo39bo\$9bo2b2obo33bo2b2o35bo2b2obo33bo2b2o\$8b2o2bob2o32b2o2bo2bo32b2o2bob2o32b2o2bo2bo\$2bo4bo34bo4bo6b2o26bo4bo34bo4bo6b2o\$3b2o3bobo32b2o3bobo32b2o3bobo32b2o3bobo\$2b2o5b2o31b2o5b2o31b2o5b2o31b2o5b2o2\$13b2o38b2o38b2o38b2o\$5b3o5bobo29b3o5bobo29b3o5bobo29b3o5bobo\$bo5bo5bo27bo5bo5bo27bo5bo5bo27bo5bo5bo\$b2o3bo34b2o3bo34b2o3bo34b2o3bo\$obo37bobo37bobo37bobo\$15b2o38b2o38b2o38b2o\$15bobo37bobo37bobo37bobo\$15bo39bo39bo39bo!`

EDIT: Actually, it takes 4 gliders, not 5.

`x = 15, y = 13, rule = B3/S237b2o\$7bo\$8bo2b2obo\$7b2o2bob2o\$6bo\$bobo3bobo\$2b2o4b2o\$2bo9b2o\$5b2o5bobo\$4bobo5bo\$2o4bo\$b2o\$o!`
Tanner Jacobi

Kazyan

Posts: 860
Joined: February 6th, 2014, 11:02 pm

### Re: 17 in 17: Efficient 17-bit synthesis project

#185 in fourteen gliders:
`x = 80, y = 28, rule = B3/S2335bo\$36bo\$34b3o2\$37bo\$b2o34bo\$obo34bo\$2bo9bo\$10b2o\$11b2o59bo5bo\$73bo3b2o\$35b2o29b2o3b3o3bobo\$34bo2bo27bo2bo\$9b3o23bobo28bobo\$11bo2b2o20bob2o27bob2o\$10bo2b2o22bo2bo27bo2bo\$15bo22b2o29b2o\$60bobo\$5b2o54b2o\$6b2o29b2ob2o19bo6b2ob2o\$5bo3b2o25bobobobo20bo3bobobobo\$9bobo25bo3bo21b2o3bo3bo2b3o\$9bo52bobo10bo\$76bo\$3b2o\$4b2o67bo\$3bo68b2o\$72bobo!`

#108 in sixteen:
`x = 225, y = 101, rule = B3/S232bo\$obo\$b2o39\$145bo36bo35bo\$144bobobob2o29bobobob2o28bobobob2o\$144bobob2obo29bobob2obo28bobob2obo\$145bo36bo35bobo\$220bo\$53b2o2b2o131b2o27bo\$52bobob2o95b2o34bo2bo25bo\$54bo3bo95b2ob3o29bo2bo25b2o\$153bo3bo32b2o\$158bo64bo\$214b2o6b2o\$213bobo6bobo\$183bobo29bo\$184b2o33b3o\$184bo36bo\$175b3o42bo\$177bo6b2o10b2o\$176bo6bobo9b2o\$185bo4b2o5bo\$190bobo\$190bo4\$43bo\$43b2o\$42bobo15\$4b2o\$3bobo\$5bo14\$109b2o\$109bobo\$109bo!`

#213 in fifteen:
`x = 181, y = 32, rule = B3/S2318bobo\$18b2o\$19bo5\$76bo\$74bobo\$75b2o2\$73b2o35bo59bobo\$46bo22bo3bobo32b2o27bo32b2o\$45bobo20bobo2bo29bo2bo2b2o20bo2bobobo2bo16bo2bob2o6bo\$45b2o21b2o33b4o24b4ob2o2bo17b4ob2o\$obo137b3o37bo\$b2o42b2o21b2o33b2o26b2o25b2o18b2o\$bo44bo22bo34bo27bo26bo19b2o\$45bo22bo34bo27bo26bo15b3o\$45b2o21b2o33b2o26b2o25b2o3bobo8bo\$163b2o10bo\$164bo\$8bo\$9bo154b2o5b2o\$7b3o155b2o3b2o\$164bo7bo2\$8b3o35b2o\$10bo35b2o\$9bo39b2o\$49bobo\$49bo!`

EDIT: #186 in fifteen:
`x = 109, y = 46, rule = B3/S2362bobo\$63b2o\$63bo20bo\$82b2o7bo\$80bo2b2o6bobo\$78bobo10b2o\$79b2o2\$obo\$b2o67bo\$bo69bo\$69b3o2\$35b2o52b2o\$36bo53bo\$7bo28bob2o50bob2o\$6bo30bobo51bobo\$6b3o2\$8bo24bobo52b3o\$7b2o25b2o\$7bobo24bo\$b2o\$2b2o30b2o\$bo33b2o\$34bo7\$72b2o\$71bobo\$73bo5\$70bo36b2o\$70b2o34b2o\$69bobo36bo2\$104b2o\$103b2o\$105bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1794
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17 in 17: Efficient 17-bit synthesis project

Kazyan wrote:A component that solves a family of related expensive objects:

EDIT: Actually, it takes 4 gliders, not 5.

The truth is a little more complicated than that. The four-glider method does not work when the smaller SL is a carrier, and then there are no 4-glider methods for inserting a snake that close to the feathered carrier/snake, so each SL costs 13 gliders:
`x = 178, y = 114, rule = B3/S2343bo85bo\$41b2o84b2o\$42b2o84b2o2\$36b2o5bo34b2o13bo27b2o6bo29b2o14bo\$36bo5b2o34bo14bobo25bo6b2o29bo15bobo\$37bo4bobo34bo13b2o28bo4bobo30bo13b2o\$36b2o40b2o42b2o36b2o\$35bo41bo43bo37bo\$36bobo39bobo8bo32bobo35bobo8bo\$37b2o40b2o7bo34b2o36b2o7bo\$88b3o79b3o2\$91b2o80b2o\$91bobo79bobo\$91bo81bo30\$35bo\$33bobo88bo\$34b2o86bobo\$123b2o\$36bo\$36bobo86bo\$36b2o87bobo\$79bo45b2o37bo\$78bobo82bobo\$25b2o42b2o7bobo72b2o8bobo\$25bo5bo37bo9bo33b2o38bo10bo\$26bo4bo38bo2b2o6b2o30bo6bo34bo2b2o6b2o\$25b2o4bo37b2o2bo2bo4bobo31bo4bo33b2o2bo2bo4bobo\$24bo17b2o24bo6b2o4bo32b2o4bo32bo6b2o4bo\$25bobo13b2o26bobo41bo17b2o21bobo\$26b2o15bo26b2o42bobo13b2o23b2o\$115b2o15bo37\$7b2o40b2o41b2o36b2o\$7bo41bo42bo37bo\$8bo2b2obo35bo2b2o39bo2b2obo31bo2b2o\$7b2o2bob2o34b2o2bo2bo36b2o2bob2o30b2o2bo2bo\$6bo36bo4bo6b2o35bo32bo4bo6b2o\$bobo3bobo34b2o3bobo35bobo3bobo30b2o3bobo\$2b2o4b2o33b2o5b2o36b2o4b2o29b2o5b2o\$2bo9b2o74bo9b2o\$5b2o5bobo39b2o35b2o5bobo35b2o\$4bobo5bo33b3o5bobo33bobo5bo29b3o5bobo\$2o4bo35bo5bo5bo31b2o4bo31bo5bo5bo\$b2o39b2o3bo39b2o35b2o3bo\$o40bobo42bo36bobo\$56b2o80b2o\$56bobo79bobo\$56bo81bo!`

Also, #102 in 10:
`x = 56, y = 19, rule = B3/S23bo52bo\$2b2o49bo\$b2o14bo35b3o\$15b2o\$6bo9b2o31b2o\$4bobo42bobo\$5b2o10bo32bo\$3o8bobo2b2o\$2bo8b2o3bobo\$bo10bo\$51b2o\$9bo40bo2bobo\$10b2o39b2ob2o\$9b2o41bo\$52bo\$53b2o\$54bo\$13b2o38bo\$13b2o38b2o!`

#18 in 10:
`x = 145, y = 24, rule = B3/S23141bo\$142bo\$140b3o2\$143b2o\$75b2o66b2o\$74bo2bo\$bo73b2o9bo\$2bo81b2o\$3o5b2o46bo7bo20b2o\$8bobo43bobo7bobo\$8bo46b2o7b2o67bo\$3bobo54b3o69bobo\$3b2o57bo68bobobo\$4bo47b2o7bo9b2o57bo2bobo\$51bobo17b2o58b2o2bob2o\$53bo81b2obo5\$83b3o\$83bo\$84bo!`
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: 17 in 17: Efficient 17-bit synthesis project

#98 can be done in 16 by using this known converter instead of the two-step converter in the current synthesis:
`x = 28, y = 18, rule = B3/S2313bobo\$13b2o\$obo11bo\$b2o\$bo7bobo\$9b2o6bobo\$10bo6b2o\$18bo\$25bo\$25bobo\$21b2o2b2o\$21bobo\$9b2o10bo\$8bo2bo\$4b2obob2o\$4bob2obo\$9bo\$9b2o!`

I'm surprised this isn't already in Shinjuku, as I recall it being a fairly common trick. Are synthesis components submitted through Catagolue automatically detected and applied to other still lifes?
-Matthias Merzenich
Sokwe
Moderator

Posts: 1480
Joined: July 9th, 2009, 2:44 pm

### Re: 17 in 17: Efficient 17-bit synthesis project

Finally finished that SL I was asking for (#203) in 10:
`x = 133, y = 56, rule = B3/S2350bo\$48b2o\$49b2o2\$6bobo\$7b2o\$7bo6\$7bo\$8b2o\$7b2o4\$9bo115bo\$10bo113bobo\$8b3o112bo2bo\$124b2o2\$119b3o\$121bo\$120bo3\$131b2o\$37b2o91bobo\$36b2o91bo\$38bo89bob2o\$128bo3bo\$34bo94b3o\$34b2o91bobo\$33bobo4bo86b2o\$39b2o\$39bobo15\$b2o\$obo5bo\$2bo5b2o\$7bobo!`

Surely this paves the way for other SLs? (#232)
`x = 103, y = 28, rule = B3/S2321bo\$21bobo\$21b2o2\$2bo\$obo\$b2o\$26bo\$24b2o\$25b2o2\$81bo\$79bobo\$80b2o\$26bo58b2o\$3bo21bo59b2o\$4b2o19b3o69b2o2b2o\$3b2o80b2o10bobo2bo\$85b2o8b2o2b2o\$96bobo\$b3o91bo2bo\$3bo92b2o\$2bo3\$3b2o\$2b2o\$4bo!`
Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: 17 in 17: Efficient 17-bit synthesis project

xs17_4aaj2arzx11 (#161) in 10G:

`x = 96, y = 24, rule = B3/S23o\$b2o24bobo\$2o26b2o\$28bo65bo\$17bo75bo\$18b2o73b3o\$17b2o\$89b2o\$88bo2bo\$89b2o2\$83bo2bo\$83b6o\$28bo60bo\$28bobo52b2o2b2o\$14bobo6bo4b2o53bo2bo\$15b2o4bobo61b2o\$11bo3bo6b2o14b2o\$11b2o24b2o50b2o\$10bobo26bo49b2o2\$92b3o\$92bo\$93bo!`

Goldtiger997

Posts: 537
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 17 in 17: Efficient 17-bit synthesis project

#139 (the other that SL I was inquiring above) in 10:
`x = 112, y = 46, rule = B3/S2310bobo\$11b2o\$11bo9\$110b2o\$108bo2bo\$107bob2o\$106bobo\$97bo8bo2b2o\$96bobo8b2o2bo\$97b2o11b2o\$33bo\$19bobo9b2o4b2o53b3o\$19b2o11b2o2b2o56bo\$20bo17bo54bo2\$19b2o12bo\$20b2o10b2o\$19bo12bobo4\$28b3o\$28bo\$29bo2\$21b3o\$23bo\$22bo8\$3o\$2bo\$bo!`

And thus, with all other improvements known so far, 240 remain:
`#CLL state-numbering gollyx = 604, y = 217, rule = B3/S23218bo198b3o\$217b2o197bo3bo\$218bo201bo\$218bo200bo\$218bo199bo\$218bo198bo\$217b3o196b5o4\$17b3o17bo19b3o17b3o19bo16b5o16b3o16b5o16b3o17b3o17b3o17bo19b3o17b3o19bo16b5o16b3o16b5o16b3o17b3o17b3o17bo19b3o17b3o19bo16b5o16b3o16b5o16b3o17b3o\$16bo3bo15b2o18bo3bo15bo3bo17b2o16bo19bo3bo19bo15bo3bo15bo3bo15bo3bo15b2o18bo3bo15bo3bo17b2o16bo19bo3bo19bo15bo3bo15bo3bo15bo3bo15b2o18bo3bo15bo3bo17b2o16bo19bo3bo19bo15bo3bo15bo3bo\$16bo3bo16bo22bo19bo16bobo16bo19bo22bo16bo3bo15bo3bo15bo3bo16bo22bo19bo16bobo16bo19bo22bo16bo3bo15bo3bo15bo3bo16bo22bo19bo16bobo16bo19bo22bo16bo3bo15bo3bo\$16bobobo16bo21bo18b2o16bo2bo17b3o16b4o19bo17b3o17b4o15bobobo16bo21bo18b2o16bo2bo17b3o16b4o19bo17b3o17b4o15bobobo16bo21bo18b2o16bo2bo17b3o16b4o19bo17b3o17b4o\$16bo3bo16bo20bo21bo15b5o19bo15bo3bo17bo17bo3bo19bo15bo3bo16bo20bo21bo15b5o19bo15bo3bo17bo17bo3bo19bo15bo3bo16bo20bo21bo15b5o19bo15bo3bo17bo17bo3bo19bo\$16bo3bo16bo19bo18bo3bo18bo16bo3bo15bo3bo17bo17bo3bo15bo3bo15bo3bo16bo19bo18bo3bo18bo16bo3bo15bo3bo17bo17bo3bo15bo3bo15bo3bo16bo19bo18bo3bo18bo16bo3bo15bo3bo17bo17bo3bo15bo3bo\$17b3o16b3o17b5o16b3o19bo17b3o17b3o18bo18b3o17b3o17b3o16b3o17b5o16b3o19bo17b3o17b3o18bo18b3o17b3o17b3o16b3o17b5o16b3o19bo17b3o17b3o18bo18b3o17b3o9\$36b2o19bo18b2o40bobo15b2o18b2obo15b2o19bo19bo38bo3b2o34b2o2b2o14b2obob2o35b2o19b2o19bo18bo17b2o2b2o15b2o18b2o19b2o35b2o20bo18bo22b2o\$b3o32bobob2o14bobo17bo40bob2o16bo18bob2o16bo18bobo2b2o13bobo37b3o2bo34bo3bobo13bob2obo2bo32bo2bo15bo2bo16b2obobo16bobo15bo2bo2bo14bo2bobo14bobo18bo2bo34bobo19b3o15bobo2b2o16bobo\$o3bo33b2obo14bo2bobo15bo39bo19bob2o19b2o14bobo17bo2bo2bo13bobo2b2o35b2o37bobobo17bo2b2o31bobo2bo14b3o2bo14bob2o2bo14bobobo15bobobo14bo2bob2o13bobo19bobobo36bo16b2o3bo14bo2bo2bo16bobobo\$o3bo32bo19b2ob2o14b2o2bo37b2obo16bobo16b2o2bo15bobo17b3obo16bo3bo34bo38b2o2bo15b3o37bob3o17b3o18b2o14bo2bobo14b2o2bo15b2obo16bo2b3o15b2o2bo35b2o18bo2bobo14bob2o17b2o2bobo\$obobo32bo20bo19b3o35bobob2o14bobo17bob2o19bo20bo16bob3o35bo39bo18bo40bo19bo18b2o18b2obo16bo21bo17b2o2bo14bo2b2o35bo19bo4bo14b2o21bo3bo\$o3bo30b2o19bobo17b2o37bobo17bobobo16bo22b2o18bo18bo39b2o36bo61bo19bo17bo20bo17bo19b3o19bo17bobo37bob3o15bobo18bo18b3o\$o3bo30bo19bobo17bo2bo36b2o18bo2bo16b2o20b2o2bo16bo20bo39bo36b2o57b3o17b3o19bo17bobo17b2o18bo19bo20b2o38bobo17bobo16bo19bo\$b3o32bo18b2o19bobo57b2o39bo2bo17b2o18b2o38bo96bo19bo20b2o17b2o58b2o63bo16bo17b2o\$35b2o40bo100b2o78b2o279b2o12\$17bo18b2ob2o19b2o16b2o38b2o16b2o23b2o12b2o19bo19bo38bo19b2o4b2o12b2o2b2o14b2obo38b2o18b2o21b2o16b2o15b2o20b2o18bo41bo15b2o21bo17bo24b2o\$bo14bobo17bob2o16b2o3bo17bo39bo2b2o13bo19b2o2bo14bo2b2o14bobo4b2o11bobo37b3o17bobo3bobo11bo3bobo13bob2o37bo2bo15bo2bo16b2o2bobo15bo2bo14bo2b2o16bo2bo16bobo39bobo14bobo18b3o16bobo20bobobo\$2o15bo2bo20bo14bo2bo16b3o40bobobo13bobo16bo2bobo14bobo2bo14bo2bo2bo13bobo39bo17bo2b2o2bo13bobobo17b2o34bobobo15b2obob2o13bobo2bo15bo2bobo14bobobo14bo2bobo14bo2bo38bobobo16bo16bo19bo2bob2o15bob2o\$bo16b2obo15b2ob2o15bob2o15bo2b3o35bobo2bo15bobo16bob2o16bob2o16b2obobo15bo2bo35bo19b2obobo13b2o2bo15b2obo2bo33bo2b2o16bobobo16b2o15bo4bo14b2obobo14b2obo2bo13bobob2o36bobobo14b2o18bo19bob2obo15bo3bo\$bo18bo16bo20bo19bo2bo34bob2o16bobobo15b2o21bo19bobo15bob3o35b2o22bo15bo18bobo2b2o34b2o18bo18b2o18b4o17bobo17bob2o15b2o2bo34b2o3bo14bo19b2o18b2o21bob2o\$bo14b3o16bobo18bobo17bobo37bo18bobobo17bo19bobo19bo18bo40bo35bo21bo40bo19bo18bo39bo19bo20bo36bo19bo19bo4bo15bo18b3o\$bo13bo2b2o15b2o18bobo17bobo37b2o18bobo17bo20bobo19b2o19bo39bo35b2o58b3o21bo16bo19b2o18b2o18b2o17bobo38b3o17b2o2b2o14bo2bobo13bo19bo\$3o12b2o38b2o19bo59b2o17b2o20bo39bobo40b2o93bo22b2o16b2o18b2o57b2o41bo19bo2bo15bo2bo14b2o\$217b2o42bo276b2o18b2o\$258b3o\$258bo10\$17bo20b2o21b2o17b2o35b2o22b2o14bo17b2o19bo38b2o3b2o13b2o2b2o14b2o18b2o2b2o14b2o21bo18b2o18b2ob2o18b2o16b2o15b2o20b2o39b2o19bo15b2o23b2o16bo21bo\$b3o12bobo18bobo16b2o3bo19bo35bo2b2o14b2o2bobo13bobo2b2o13bo2bo15bobo37bo2bo2bo13bo2bo2bo13bo2bobo14bo3bo15bo20b3o2bo14bo2bo15bo2bobo14b2o2bobo15bo2bo14bo2b2o16bo2bo37bo2bo17bobo14bobo18b2o2bo16bobo19bobo\$o3bo12bo2bo15bo19bo2bobo14bo2bo38bobobo14bo2bo15bo2bo2bo13bobobob2o12bo2b2o36b2obo15bobob2o14b2ob2o16bobobo15bo4bo12bo3b3o13bobo2bo14b2obo2bo13bo3bo16bo2bobo14bobo16bo2bobo37bo2bo15bobobo16bo16bo2bobo16bob3o15bo2bo\$4bo13b2obo15b2o18b2obo15b5o36b2o2bo15bob2o16bob2o16b2obobo2bo11b2o2bo36bob2o15bobo17bo18b2o2b2o14b2o3bobo12b2o18bo4bo15bob2o16bob2o14bo4bo14b2obobo14bob2o2bo34bob2obo15bobobo14b2o18bob2o15b2o5bo14b2obobo\$3bo16bo18bo18bo57bo2b2o15b2o18b2o23bo2b2o13b2o36bo21bo17bo19bo18bo3bobo15b2o17b4o16bo18b2o18b4o17bob2o15bo2bobo33bobo2bo14b2o3bo14bo19b2o18bo5b2o15bo2b2o\$2bo13b4o15b4o17bobo19bo36bobo19bo19bo39b2o37bo21bo19b2o15bo21bo2bo17bo19bo17b2o19bo19bo19bo20bobo34bo2bo16bo19bo20bo19bo19bobo\$bo15bo17bo19bobo18b3o37bo18bo19bo42bo37b2o20b2o19bo15b2o21bobo19bo15bo38bo19bo20b2o21bo36b2o18bo19b2o17bo21bo17bobo\$5o10bo20bo19bo18bo59b2o18b2o39bo81bo40bo19b2o15b2o37b2o18b2o100bo20bob2o13b2o19b2o18bo\$15b2o20bo37b2o119b2o80b2o236b2o20b2obo\$36b2o11\$17bo21b2o38bo37b2o17b2o19bo17b2ob2o16bo38b2o18b2o3bo14b2o2bo77b2o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Princess of Science, Parcly Taxel

Freywa

Posts: 580
Joined: June 23rd, 2011, 3:20 am
Location: Singapore

### Re: 17 in 17: Efficient 17-bit synthesis project

Freywa wrote:#139 (the other that SL I was inquiring above) in 10:
`x = 112, y = 46, rule = B3/S2310bobo\$11b2o\$11bo9\$110b2o\$108bo2bo\$107bob2o\$106bobo\$97bo8bo2b2o\$96bobo8b2o2bo\$97b2o11b2o\$33bo\$19bobo9b2o4b2o53b3o\$19b2o11b2o2b2o56bo\$20bo17bo54bo2\$19b2o12bo\$20b2o10b2o\$19bo12bobo4\$28b3o\$28bo\$29bo2\$21b3o\$23bo\$22bo8\$3o\$2bo\$bo!`

9:
`x = 40, y = 39, rule = B3/S2311bobo\$12b2o\$12bo16\$34bo\$20bobo9b2o4b2o\$20b2o11b2o2b2o\$21bo17bo2\$20b2o12bo\$21b2o10b2o\$20bo12bobo4\$29b3o\$29bo\$30bo2\$22b3o\$24bo\$23bo\$3o\$2bo\$bo!`
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