## 15 in 15: Efficient 15-bit Synthesis Project (DONE!)

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

### 15 in 15: Efficient 15-bit Synthesis Project (DONE!)

As of no later than 6:00 p.m. November 19th, 2016, every 15-bit still life is synthesizable in fewer than 15 gliders!
Thanks to everyone in this thread who has contributed syntheses (even just one), and a Caterpillar-sized shoutout to everyone who made Catagolue possible.
Last edited by BlinkerSpawn on November 19th, 2016, 8:29 pm, edited 59 times in total.
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

Here’s 15.386 in 12G:

`x = 42, y = 37, rule = B3/S23bo\$2bo\$3o4\$10bo\$11bo25bo\$9b3o23b2o\$36b2o2\$22bo\$23b2o\$22b2o\$40bo\$12bobo23b2o\$13b2o24b2o\$13bo\$20bo\$21bo\$19b3o7\$14b3o\$16bo\$15bo\$28bo\$29b2o4b2o2b3o\$28b2o6b2obo\$35bo4bo\$16bo\$16b2o\$15bobo!`
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Goldtiger997

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### Re: 15 in 15: Efficient 15-bit Synthesis Project

8 and 9 gliders for two of those (15.386 and 15.388?)

`x = 79, y = 68, rule = Life47bo\$45b2o\$46b2o11bo\$57b2o\$58b2o27\$10b2o\$9bo2bo\$10b2o2\$19bo\$17b2o\$18b2o2\$53bo\$54b2o6bo\$53b2o7bobo3bo\$62b2o4bobo\$68b2o3\$56bo\$57bo\$15bo39b3o\$12bo2bobo\$10bobo2b2o\$11b2o58bobo3bo\$71b2o3bo\$72bo3b3o\$59b3o\$61bo10b2o\$60bo10b2o\$73bo4\$bo\$b2o\$obo2\$27bo\$26b2o\$26bobo!`
chris_c

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### Re: 15 in 15: Efficient 15-bit Synthesis Project

Partial for 15.845, probably 15G:
`x = 50, y = 37, rule = B3/S2348bo\$39b2o6bo\$40bo6b3o\$2b2o35bo\$bo2bo34b2o4b2o\$bo2bo30bob2o2bo3b2o\$2b3o30b2obobo\$39bo2\$43b3o\$7b2o\$7bo2bo\$8b3o3\$46bo\$3b2o8bo23b3o5bobo\$3b2o8bo19b3o10bo\$13bo2\$3o\$38b2o\$37bobo\$39bo11\$20b2o\$21b2o\$20bo!`

Hate how seemingly every occurrence in C1 appears to be due to the same R+hive+several hundred generations base reaction or an equivalent.
Also this, apparently:
`x = 6, y = 8, rule = B3/S233bo\$3o2\$3bo\$2bobo\$b2ob2o\$bo3bo\$b2ob2o!`
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

BlinkerSpawn wrote:Partial for 15.845, probably 15G:
`x = 50, y = 37, rule = B3/S2348bo\$39b2o6bo\$40bo6b3o\$2b2o35bo\$bo2bo34b2o4b2o\$bo2bo30bob2o2bo3b2o\$2b3o30b2obobo\$39bo2\$43b3o\$7b2o\$7bo2bo\$8b3o3\$46bo\$3b2o8bo23b3o5bobo\$3b2o8bo19b3o10bo\$13bo2\$3o\$38b2o\$37bobo\$39bo11\$20b2o\$21b2o\$20bo!`

Well here's 13 gliders:

`x = 57, y = 64, rule = B3/S2355bo\$54bo\$54b3o9\$27bobo\$28b2o\$28bo\$35bo\$33bobo5bo\$26b2o6b2o5bobo\$25bobo13b2o\$27bo8bo\$36bobo\$36b2o5\$42bo\$41bo\$41b3o3\$37bo\$30b2o4b2o\$29b2o5bobo\$31bo\$26b3o12b2o\$28bo12bobo\$27bo13bo12\$18b2o\$19b2o\$18bo11\$3o\$2bo\$bo!`

EDIT:

15.389 in 13 gliders:

`x = 72, y = 82, rule = B3/S23bo\$2bo\$3o8\$45bo\$45bobo\$45b2o16\$15bo\$13bobo\$14b2o\$17bo\$17bobo13bo\$17b2o13bo\$32b3o2\$46bo\$44b2o\$45b2o\$28bobo\$24bo3b2o\$25b2o2bo\$24b2o5\$20b2o\$19bobo\$21bo\$29b2o\$29bobo\$29bo9\$47b3o\$47bo\$48bo9\$59b2o\$59bobo\$59bo5\$69b2o\$69bobo\$69bo!`
Things to work on:
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Goldtiger997

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### Re: 15 in 15: Efficient 15-bit Synthesis Project

BlinkerSpawn wrote:15.368 in 11, which may put some other SLs off the list: ...

This improves (but not sufficiently): 15.451 in 16, 15.477 and 15.497 in 17, and two P2 oscillators in 28 and 29:
`x = 166, y = 69, rule = B3/S2385bo\$83bobo\$47bo36boo\$6bo41bo38bo\$7bo38b3o38bobo3bo\$5b3obbo28bo13bo33boo3bo\$9bo30bo11bo39b3o\$9b3o26b3o11b3o31bo\$6bo38bobo34bo4boo\$7bo33b3obboo32bobo3boo\$5b3o35bobbo34boo\$obo39bo67boo\$boo7boobboo18boo14boobboo13boo3boo14boobboo14bo3boo\$bo8bobobbo13boobobbo14bobobbo13bobbobbo14bobobbo16bobbo\$5bo5boobo14boboobo8boo6boobo16boobo9boo5boobo16boobo\$5boo6bo19bo8bobo8bo19bo9bobo7bo19bo\$4bobo6bobo17bobo8bo8bobo17bobo9bo7bobo17bobo\$14boo18boo18boo18boo18boo18boo10\$18bo\$16bobo29bo\$17boo29bobo\$48boo96bo\$145bo\$145b3o\$\$133bo\$134boo\$47bo34bobo48boo\$45boo36boo56bo\$21bobo22boo35bo42bo12bobo\$22boo10bobo54bo35boo11boo\$22bo12boo51bobbobo32boo24bo\$19bo15bo50bobobboo52bo4boo\$17bobo5bo12bo48boo56bobo3boo\$18boo6boo9bo107boo\$25boo10b3o\$107bo29bo\$106bobo27bobo\$106bobbo26bobbo\$107boo28boo\$123boo32boo\$68boo52bobo32bobo\$68bobo53bo3bobo\$39boo3boo28boo13boo3boo13boo3boo13boo8boo3boo13bobobboo\$39bobbobbo9boo13bobobbo13bobbobbo13bobbobbo13bo9bobbobbo16bobbo\$41boobo9boo15boobo16boobo16boobo26boobo16boobo\$43bo12bo16bo19bo19bo17boo10bo19bo\$43bobo27bobo17bobo17bobo16boo9bobo17bobo\$44boo28boo18boo18boo15bo12boo18boo4\$21boo\$20bobo\$22bo3\$24bo\$24boo\$23bobo!`

BlinkerSpawn wrote:Partial for 15.845, probably 15G: ...
Goldtiger997 wrote:Well here's 13 gliders: ...

This also improves (but not sufficiently): 15.919 in 19, 15.918 in 25, plus 3 related 21-bit jams (1 < 1 glider/bit) and 5 related 20+21-bit molds (1 = 1 glider/bit) (the extra two add 4 gliders to replace the snake by a python).
`x = 82, y = 25, rule = B3/S233bo\$4boo\$3boo\$10bo\$8boo6bo\$9boo4bo\$15b3o\$4bo49bo\$5boo46bo\$4boo47b3o\$boo12bo27bobo\$obo11boo28boo4bobo\$bbo6boo3bobo13boo12bo6boo7boo18boo\$10bo20bo19bo9bo19bo\$9bo19bo29bo19bo\$9boo18boo16bo11boo18boo\$5boboobbo13boboobbo15boo6boboobbo15boobbo\$5boobobo14boobobo15bobo6boobobo14bobbobo\$9bo19bo29bo15boobbo3\$54boo\$48boo3boo\$47bobo5bo\$49bo!`
mniemiec

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### Re: 15 in 15: Efficient 15-bit Synthesis Project

mniemiec wrote:
BlinkerSpawn wrote:Partial for 15.845, probably 15G: ...
Goldtiger997 wrote:Well here's 13 gliders: ...

This also improves (but not sufficiently): 15.919 in 19, 15.918 in 25, plus 3 related 21-bit jams (1 < 1 glider/bit) and 5 related 20+21-bit molds (1 = 1 glider/bit) (the extra two add 4 gliders to replace the snake by a python).

Then why do I have 15.919 in the =1 glider per bit list?
EDIT: Four possibilities for 15.445:
`obsolete`

EDIT 2: 15.413 in 14:
`x = 49, y = 89, rule = B3/S2347bo\$46bo\$46b3o14\$25bobo\$25b2o\$26bo26\$2o\$2o30bo\$30b2o\$8bo22b2o\$8bo\$8bo2\$18bo4bo\$19b2obo\$18b2o2b3o7\$13b3o4\$12bo\$12bo\$12bo20\$31b3o\$31bo\$32bo!`

15.402 in 7G:
`x = 15, y = 19, rule = B3/S237b2o\$6bo2bo\$6bobo\$7bo\$o\$b2o\$2o10bo\$11bobo\$11bobo\$12bo2\$13b2o\$12bobo\$14bo3\$2bo\$2b2o\$bobo!`
Last edited by BlinkerSpawn on October 28th, 2016, 1:32 pm, edited 2 times in total.
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

mniemiec wrote:
BlinkerSpawn wrote:Partial for 15.845, probably 15G: ...
Goldtiger997 wrote:Well here's 13 gliders: ...

This also improves (but not sufficiently): 15.919 in 19, 15.918 in 25, plus 3 related 21-bit jams (1 < 1 glider/bit) and 5 related 20+21-bit molds (1 = 1 glider/bit) (the extra two add 4 gliders to replace the snake by a python).

Then why do I have 15.919 in the = 1 glider per bit list?

Weirdly, BobShemyakin's database has this 15 glider synthesis:

`x = 160, y = 95, rule = B3/S23131bo\$132b2o\$131b2o\$138bo\$92bo43b2o\$93bo43b2o3bo\$91b3o47bo\$132bo8b3o\$133b2o\$107bo24b2o\$87bo18bo22b2o12b2o\$85bobo18b3o19bobo12bobo\$86b2o6bobo20b2o11bo6b2o4bo14b2o\$95b2o21bo19bo20bo\$95bo4b2o15bo19bo19bo\$99b2o16b2o18b2o18b2o\$101bo11bob2o2bo13bob2o2bo13bob2o2bo\$95b2o10bo5b2obobo14b2obobo14b2obobo\$96b2o8b2o9bo19bo19bo\$95bo10bobo6\$91b2o6b2o\$90bobo5b2o\$92bo7bo5\$134bo\$133bo\$129bo3b3o\$130b2o7bo\$129b2o6b2o\$43bobo92b2o\$44b2o52bo\$44bo53bobo\$51bobo44b2o2b2o\$o50b2o48b2o\$b2o49bo50bo15bo19bo17b2o\$2o58bo17bo19bo19bobo17bobo17bo\$5bo53bo17bobo17bobo17bobo17bobo17bo\$3b2o3b3o48b3o15b2o18b2o18b2o18b2o18b2o\$4b2o2bo14bob2o16bob2o10bo15bob2o16bob2o16bob2o16bob2o16bob2o\$9bo13b2obo16b2obo9b2o15b2obo16b2obo16b2obo16b2obo16b2obo\$7bo48bobo86b2o\$7b2o43b2o10bo80bobo\$6bobo43bobo8b2o80bo\$52bo10bobo2\$44b2o\$45b2o\$44bo8\$140bo\$139bo\$129bo9b3o\$130bo\$128b3o2\$137bobo\$137b2o\$80bo57bo\$67b2o11bobo14b2o15bobo10b2o28b2o\$68bo11b2o16bo16b2o11bo29bo\$67bo29bo17bo11bo29bo\$67b2o28b2o28b2o28b2o\$63bob2o26bob2o26bob2o15b3o8bob2o2bo\$63b2obo26b2obo4bo21b2obo4bo10bo10b2obobo\$100bobo10b2o15bobo10bo13bo\$100b2o10bobo15b2o\$79bo18b2o14bo13b2o\$78bo18bobo27bobo\$78b3o17bo17bo11bo\$74b3o39b2o\$74bo40bobo\$75bo\$130bo\$119b2o7b2o\$79bo40b2o7b2o\$78b2o39bo\$78bobo2\$126bo\$125b2o\$125bobo!`
Things to work on:
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Goldtiger997

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### Re: 15 in 15: Efficient 15-bit Synthesis Project

Goldtiger997 wrote:
BlinkerSpawn wrote:Then why do I have 15.919 in the = 1 glider per bit list?

Weirdly, BobShemyakin's database has this 15 glider synthesis:

`rle`

15.919 was listed as a 15G synthesis in mniemiec's post of Bob Shemyakin's improvements to the list.
My comment was pointed more towards the use of "improved to 19" when the current best was 15 via that method.
Also, it appears that 15.845 should never have been on the list to begin with, looking at that 9G synthesis that's the precursor to the full synthesis.
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

BlinkerSpawn wrote:Three possibilities for 15.445: ...

One of which leads to this 9-glider synthesis:
`x = 104, y = 30, rule = B3/S2334bo\$33bo\$33b3o\$31bo\$29bobo\$30boo3\$38bo\$37bo\$37b3o\$58boo18boo18boo\$58bobo17bobo17bobo\$28boo30bo19bo19bo\$5bo16bo6boo11bo16boboo16boboo16boboo\$4bo16bobo4bo12bobo15bobobo15bobobo15bobobo\$boob3o13bobbo16bobbo16bobbo16bobbo16bobbo\$obo18boo10b3o5boo9bo8boo9bo8boo18boo\$bbo30bo17bobo17bobo\$34bo16bobbo16bobbo\$52boo18boo\$75boo\$75bobo\$75bo4\$42boo\$41boo\$43bo!`

BlinkerSpawn wrote:Then why do I have 15.919 in the =1 glider per bit list?

Goldtiger997 wrote:Weirdly, BobShemyakin's database has this 15 glider synthesis: ...

The first line of that is actually based on Bob's 7-glider synthesis of 15.845, which renders BlinkerSpawn's recent 16-glider synthesis obsolete (as well as improving everything that depended on it: Bob's 21-glider 15.918 plus the 3 jams and 5 molds). The remaining lines are my earlier syntheses.
mniemiec

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### Re: 15 in 15: Efficient 15-bit Synthesis Project

mniemiec wrote:
BlinkerSpawn wrote:Three possibilities for 15.445: ...

One of which leads to this 9-glider synthesis:
`x = 104, y = 30, rule = B3/S2334bo\$33bo\$33b3o\$31bo\$29bobo\$30boo3\$38bo\$37bo\$37b3o\$58boo18boo18boo\$58bobo17bobo17bobo\$28boo30bo19bo19bo\$5bo16bo6boo11bo16boboo16boboo16boboo\$4bo16bobo4bo12bobo15bobobo15bobobo15bobobo\$boob3o13bobbo16bobbo16bobbo16bobbo16bobbo\$obo18boo10b3o5boo9bo8boo9bo8boo18boo\$bbo30bo17bobo17bobo\$34bo16bobbo16bobbo\$52boo18boo\$75boo\$75bobo\$75bo4\$42boo\$41boo\$43bo!`

I noticed that method and edited it in right before seeing this post.
There is, however, an incorrect cleanup of the loaf in there that is fixed in my edit.
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

The still-lifes can be made together, making this 6:
`x = 70, y = 19, rule = B3/S2337bobo\$38boo\$38bo3\$50bo\$48bobo\$49boo\$\$28bo19bo16boo\$6bo20bobo17bobo14bobbo\$4boo21bobo17bobo14bobbo\$bbobboo21bo7boo10bo16booboo\$obo34boo27bobbo\$boo33bo29bobo\$13bo9bo19bo23bo\$13bobo6bobo17bobo\$13boo7bobbo16bobbo\$23boo18boo!`

BlinkerSpawn wrote:I noticed that method and edited it in right before seeing this post.

That method is basically just the previous one advanced 16 generations.
mniemiec

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### Re: 15 in 15: Efficient 15-bit Synthesis Project

mniemiec wrote:That method is basically just the previous one advanced 16 generations.

Not constructionwise, however. The secondary method (which you did) facilitates separate construction of the blinker and the junk reaction that the junk object from the primary method decays into as opposed to direct synthesis of the first object and appropriate accompanying gliders.
mniemiec wrote:The still-lifes can be made together, making this 6:

If you tire of assimilating 15-bit SL syntheses I'd like to see an expansion of the easily-constructible constellations list for things like this.
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

mniemiec wrote:This also improves (but not sufficiently): 15.919 in 19, 15.918 in 25, plus 3 related 21-bit jams (1 < 1 glider/bit) and 5 related 20+21-bit molds (1 = 1 glider/bit) (the extra two add 4 gliders to replace the snake by a python).

Not immediately related to the thread, but one of the early "wait, what?" mold variants in Catagolue involved a snake and python, so it's probably the one you mention. Looking over the soups, here's a way to make it in at most 9G; 8G or less is likely via constellations:

`x = 30, y = 21, rule = B3/S235bo\$4bobo\$4bobo3b2o\$5bo3bobo\$9b2o2\$2o\$2o\$15bobo\$15b2o\$16bo2\$13b3o\$13bo\$14bo4b3o\$19bo\$20bo2\$28b2o\$27b2o\$29bo!`

BlinkerSpawn wrote:If you tire of assimilating 15-bit SL syntheses I'd like to see an expansion of the easily-constructible constellations list for things like this.

Seconded.

EDIT: 15.438 in 8G; 7G very likely if that block predecessor can be made in 3 instead of 4.

`x = 34, y = 37, rule = B3/S233bobo\$4b2o\$4bo2\$24bobo\$24b2o7bo\$25bo5b2o\$32b2o3\$19bo\$18bo\$obo15b3o\$b2o\$bo20bo\$22bobo\$22b2o4\$15b3o\$15bo\$16bo12\$24bo\$23b2o\$23bobo!`
Tanner Jacobi

Kazyan

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### Re: 15 in 15: Efficient 15-bit Synthesis Project

Kazyan wrote:EDIT: 15.438 in 8G; 7G very likely if that block predecessor can be made in 3 instead of 4.

`x = 34, y = 37, rule = B3/S233bobo\$4b2o\$4bo2\$24bobo\$24b2o7bo\$25bo5b2o\$32b2o3\$19bo\$18bo\$obo15b3o\$b2o\$bo20bo\$22bobo\$22b2o4\$15b3o\$15bo\$16bo12\$24bo\$23b2o\$23bobo!`

Standard 3G-edgy-block works here perfectly:
`x = 19, y = 21, rule = B3/S237bo\$7bobo\$7b2o\$2bo\$obo\$b2o15bo\$8bo7b2o\$8bobo6b2o\$8b2o4\$bobo\$2b2o\$2bo4bo\$7bobo\$7b2o2\$9bo\$8b2o\$8bobo!`

EDIT: 15.390:
`x = 38, y = 39, rule = B3/S2335bo\$35bobo\$35b2o20\$b2o\$o2bo\$b2o5\$4o\$o\$b3o3\$9b2o\$7b2o2bo\$3b2o2b2ob2o\$3bobob2ob2o\$4bo4bo!`

15.391 in 13G:
`x = 120, y = 50, rule = B3/S2324bo\$23bo\$23b3o\$15bo\$13bobo66bo\$14b2o64bobo\$81b2o\$84b2o\$84b2o3\$bo\$2bo\$3o\$39bo\$38bo\$38b3o2\$15bo\$14bo\$14b3o2\$9b2o\$9bobo\$9bo31b2o\$41bobo\$41bo76bo\$13bo103bo\$12b2o103b3o\$12bobo99b2o\$113bo2bo\$114b2o\$96bo\$95bobo\$94bobo\$94bo2b3o\$95b2o2bo\$97bo\$97b2o\$109b2o\$22b2o84bo2bo\$22bobo84bobo\$22bo87bo\$12b3o\$14bo\$13bo2\$116b2o\$115b2o\$117bo!`

Not entirely sure why 15.931 is listed as 15G when 9G is easy:
`x = 15, y = 19, rule = B3/S237bo\$2bo2bobo\$obo3b2o\$b2o6bo\$9bobo\$9b2o\$14bo\$12b3o\$11bo\$4b2o6b3o\$5b2o7bo\$4bo2\$7b2o\$7bobo\$7bo\$2b2o\$bobo\$3bo!`
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

15 replies as i'm typing this.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
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### Re: 15 in 15: Efficient 15-bit Synthesis Project

15.395 in 12 gliders:
`x = 54, y = 27, rule = B3/S232bo\$obo20bo\$b2o12bobo4bo\$15b2o5b3o\$5bo10bo\$6b2o\$5b2o3bobo\$11b2o\$11bo2\$21bo\$22bo\$20b3o\$48bobo\$6b3o4bobo4bo13bo12bob2o\$8bo5b2o4b2o10b2o13bo3b2o\$7bo6bo4bobo11b2o13b2o3bo\$50b3o\$50bo6\$16b2o11b2o\$17b2o10bobo\$16bo12bo!`

15.506 in 14 gliders:
`x = 120, y = 25, rule = B3/S23obo\$b2o\$bo4\$102bo\$100b2o\$101b2o\$36b2ob2o21b2ob2o20b2ob2o21b2ob2o\$37bob2o22bob2o3bobo15bobo2bo3b2o15bobo\$10bo8bobo15bo25bo6b2o2b3o11bo3b2o3bobo14bo3bo\$9bo9b2o17b3o23b3o4bo2bo14b3o5bo17b3obo\$9b3o8bo19bo25bo8bo15bo25bobo\$70b2o46bo\$11bo32bobo22bo2bo\$10b2o32b2o23bo2bo21b2o2b3o\$10bobo32bo24b2o21b2o3bo\$95bo3bo\$45b2o\$45bobo45b2o\$45bo46bobo\$94bo3b2o\$98bobo\$98bo!`

EDIT: Another 14-glider method for 15.506:
`x = 111, y = 24, rule = B3/S2371bo7bo\$72b2o5bobo\$71b2o6b2o\$35bo17bo\$35bobo15bobo22bo\$35b2o16b2o21bobo\$77b2o\$35bo16bo3b2o\$34b2o14bobo2bo2bo46bo\$13bo20bobo14b2o2bo2bo25bo19bobo\$13bobo40b2o3bo22b3o17bob3o\$13b2o45bo26bo17bo3bo\$5bo24b2o20b2o6b3o21b2obo19bobo\$6bo20bobobo17bobobo2b3o22bobobob2o17b2ob2o\$4b3o20b2o20b2o5bo24b2o\$3o54bo\$2bo24b2o20b2o30b2o\$bo10b2o13b2o20b2o30b2o\$12bobo\$12bo2\$88bo\$87b2o\$87bobo!`

EDIT 2: 15.473 in 14 gliders (yet again):
`x = 87, y = 25, rule = B3/S2363bo\$64b2o\$63b2o2\$24bo9bo34bo\$22bobo8bo33b2o\$23b2o8b3o28bo3b2o\$65b2o\$64b2o3\$84bo\$65bo17bobo\$20bo34bo8bobo16bobo\$bo18b2o6bo27b2o5bobo15b2obo\$2bo16bobo5bobo10bo14b2o5bo2bobo12bobobobo\$3ob2o21bo2bo8bo22b2o2b2o13bo3b2o\$4bobo21b2o9b3o\$4bo30b2o\$36b2o\$35bo20b3o\$38b3o17bo\$18b2o18bo18bo\$17bobo19bo\$19bo!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1723
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 15 in 15: Efficient 15-bit Synthesis Project

BlinkerSpawn wrote:If you tire of assimilating 15-bit SL syntheses I'd like to see an expansion of the easily-constructible constellations list for things like this.

I have about a thousand of these, which will take a while to get together. At the moment, they're high up on the list of things to work on once the next (hopefully 2016) update to my web site is finished.
Kayzan wrote:one of the early "wait, what?" mold variants in Catagolue involved a snake and python, so it's probably the one you mention. Looking over the soups, here's a way to make it in at most 9G; 8G or less is likely via constellations: ...

I count 11 (unless I missed something). Thus also the carrier+python one for 17. These both reduce the corresponding 16-bit still-lifes 16.2303 and 16.2302 by 1 to 12 and 17 respectively.
`x = 112, y = 23, rule = B3/S233bo\$4boo\$3boo\$10bo\$8boo6bo\$9boo4bo\$15b3o\$4bo\$5boo\$4boo\$boo12bo\$obo11boo\$bbo6boo3bobo13boo17boo18boo19boo18boo\$10bo20bo18bo19bo20bo19bo\$9bo19bo19bo19bo19bo19bo\$9boo18boo18boo18boo18boo18boo\$7boobbo15boobbo15boobbo15boobbo15boobbo15boobbo\$4bobobobobbo10bobobobobbo10bobobobobbo10bobobobo13bobobobobbo10bobobobo\$4boo3bo14boo3bo14boo3bo14boo3bo14boo3bo14boo3bo\$10boobo16boobo16boobo36boobo\$12bo19bo19bo3b3o33bo3b3o\$56bo39bo\$57bo39bo!`

I've seen that thing next to the beehive before, but I can't remember what makes it. Do you remember?
mniemiec

Posts: 947
Joined: June 1st, 2013, 12:00 am

### Re: 15 in 15: Efficient 15-bit Synthesis Project

mniemiec wrote:I count 11 (unless I missed something).

Your count is correct. As penance for me counting wrong, 15.960 in...10G:

`x = 45, y = 44, rule = B3/S2343bo\$42bo\$42b3o\$9bo\$7bobo\$8b2o\$31bo\$31bobo\$31b2o3\$14bobo\$15b2o\$15bo5\$27b3o\$27bo\$28bo\$24b3o\$26bo\$25bo6\$23b3o\$23bo\$24bo\$14b3o\$16bo\$15bo21b2o\$36b2o\$38bo5\$3o\$2bo\$bo!`
Tanner Jacobi

Kazyan

Posts: 770
Joined: February 6th, 2014, 11:02 pm

### Re: 15 in 15: Efficient 15-bit Synthesis Project

Kazyan wrote:Your count is correct. As penance for me counting wrong, 15.960 in...10G: ...

The domino spark can be made in 2 (using a common mechanism that I had never thought to use before), so 9:
`x = 37, y = 18, rule = B3/S23\$19bo\$19bobo\$11bo7boo\$4bo4bobo\$5bo4boo\$3b3o3\$oo\$boo8bo\$o11bo17bo\$10b3o16bobo\$25boo3bobo\$13boo10boo5bo\$6boo5bobo15boboobo\$6boo5bo17boboboo\$32bo!`
mniemiec

Posts: 947
Joined: June 1st, 2013, 12:00 am

### Re: 15 in 15: Efficient 15-bit Synthesis Project

mniemiec wrote:

I've seen that thing next to the beehive before, but I can't remember what makes it. Do you remember?

I remember finding quite a lot of ways of making that piece of junk. Two of them ended up in the Pufferfish synthesis:

`x = 42, y = 34, rule = B3/S2331bobo\$32b2o\$32bo6bo\$37b2o\$16bo21b2o\$17bo8bo3bo\$15b3o8bo3bo\$26bo3bo2\$18b2o19b2o\$12b2o3bobo19bobo\$11bobo5bo19bo\$13bo21bo\$34bobo\$19b2o13b2o\$20b2o\$19bo2\$22bo\$21b2o\$17b2o2bobo\$18b2o\$17bo9\$3o\$2bo\$bo!`
chris_c

Posts: 861
Joined: June 28th, 2014, 7:15 am

### Re: 15 in 15: Efficient 15-bit Synthesis Project

chris_c wrote:
mniemiec wrote:

I've seen that thing next to the beehive before, but I can't remember what makes it. Do you remember?

I remember finding quite a lot of ways of making that piece of junk...

I found lots using gencols and used it to make a 13 glider synthesis of 15.390:

`x = 54, y = 93, rule = B3/S2337bo\$36bo\$36b3o7\$46bo\$45bo\$45b3o18\$12bo\$12bobo\$12b2o\$2bo\$obo\$b2o3\$4bo\$5bo\$3b3o3\$10bo\$9bo11bo\$9b3o9bobo\$7bo13b2o\$5bobo\$6b2o8bo\$15bo\$15b3o2\$7bo\$5bobo2b2o\$6b2ob2o4b3o\$11bo3bo\$16bo35\$51b2o\$51bobo\$51bo!`

Now there remain no 15-bit still-lifes without syntheses in less than 15 gliders from 15.1 to 15.400!

BlinkerSpawn wrote:If you tire of assimilating 15-bit SL syntheses I'd like to see an expansion of the easily-constructible constellations list for things like this.

Before mniemiec does this, I have a method I've been using to find 3-glider syntheses of constellations if you're interested...
Last edited by Goldtiger997 on October 29th, 2016, 8:10 am, edited 1 time in total.
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 15 in 15: Efficient 15-bit Synthesis Project

Goldtiger997 wrote:I found lots using gencols and used it to make a 13 glider synthesis of 13.390:

There is no 13.390. Did you mean 15.390? Actually, this is the same synthesis you posted Thursday for 15.389.
Coincidentally, I combined BlinkerSpawn's predecessor from Friday + chris_c's junk maker to make 13 glider synthesis of 15.390:
`x = 241, y = 49, rule = B3/S23120bo\$119bo\$119b3o15\$bo3bo\$bbobo\$3ob3o5\$134boo48boo\$86bo46bobbo46bobbo\$86bobo44bobo47bobo\$86boo46bo49bo\$181boo\$41booboo35booboo94bobo\$41booboo35booboo96bo3\$obo\$boo17bo21bo39bo79boo48boo\$bo17bo21bobo37bobo78boo48boo\$19b3o20boo12bo25boo12bo118b3o\$b3o51bobo37bobo117bo\$bo14b3o36bobo27boo8bobo118bo\$bbo13bo39bo29boo8bo\$17bo67bo5bo\$90boo\$90bobo55boo48boo38boo\$148bo49bo39bo\$84boo60boobbo45boobbo35boobbo\$85boo58boboboo44boboboo34boboboo\$84bo60bobbo46bobbo36bobbo\$146bobo47bobo37bobo\$147bo49bo39bo!`

Goldtiger997 wrote:Before mniemiec does this, I have a method I've been using to find 3-glider syntheses of constellations if you're interested...

I would be very interested in this.
mniemiec

Posts: 947
Joined: June 1st, 2013, 12:00 am

### Re: 15 in 15: Efficient 15-bit Synthesis Project

mniemiec wrote:
Goldtiger997 wrote:I found lots using gencols and used it to make a 13 glider synthesis of 13.390:

There is no 13.390. Did you mean 15.390? Actually, this is the same synthesis you posted Thursday for 15.389...

EEK! Two errors! I've fixed them now, sorry about that.

Here's 15.1207 in 14 gliders. In doing this, I discovered (or maybe re-discovered) a new "adding" mechanism.

`x = 81, y = 31, rule = B3/S2319bo\$17b2o\$11bo6b2o\$12bo\$10b3o\$6bo\$7b2o\$6b2o7bo\$15bobo\$15b2o\$33b2o18b2o18b2o\$13b3o18bo19bo19bo\$15bo18bob2o16bob2o16bob2o\$14bo20bobo17bobo17bobo\$38b2o18b2o18b2o\$39bo19bo20bo\$18b2o19bobo17bobo15bobo\$19b2o19b2o18b2o15b2o\$2o16bo3b2o\$b2o19bobo29bo14b2o\$o21bo29bobo13b2o\$53b2o15bo3\$51b2o3b2o10b2o\$50bobo2b2o10b2o\$52bo4bo11bo2\$64bo\$63b2o\$63bobo!`

Now all 15-bit still-lifes with syntheses in over 14 gliders lie in-between 15.400 and 15.1200!

EDIT:

Here's 15.1103 in 11 gliders:

`x = 105, y = 73, rule = B3/S2331bo\$29bobo\$30b2o28bo\$58b2o\$59b2o11\$48bo\$48bobo\$48b2o2\$47bo\$45bobo\$46b2o14\$43b2o2b3o\$42bobo2bo\$44bo3bo16\$90b2o\$89b2o\$91bo11\$99b2o\$98b2o\$100bo\$103b2o\$2o6b2o92b2o\$b2o4bobo94bo\$o8bo!`

Now all 15-bit still-lifes with syntheses in over 14 gliders lie in-between 15.400 and 15.1100!
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 460
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: 15 in 15: Efficient 15-bit Synthesis Project

15.441:
`x = 36, y = 32, rule = B3/S23obo\$b2o\$bo13\$23b3o3\$16b2o\$18bo\$16b3o\$19b2o\$18b3o\$19bo4\$24b2o\$10b2o12b2o\$10b2o21b3o\$33bo\$34bo!`

15.544:
`x = 19, y = 13, rule = B3/S238bo2\$7b2o\$8b2ob2o\$9bobo\$10bo\$2o\$2o2b2o\$4b2o\$3bo10b2ob2o\$14bo3bo\$15b3o\$16bo!`
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