## 17-bit SL Syntheses (100% Complete!)

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### 17-bit SL Syntheses (100% Complete!)

The "Synthesizing Oscillators" topic has become a bit of a mess. This should rectify some of the problems.

Current unsynthesized 17-bitters:

Code: Select all

``Nope.``
(This uses dvgrn's numbering system.)

This took 135 days, 21 hours, and 23 minutes.
Last edited by Extrementhusiast on May 19th, 2014, 5:46 pm, edited 144 times in total.
I Like My Heisenburps! (and others)

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

This solves #393:

Code: Select all

``````x = 32, y = 34, rule = B3/S23
8bobo\$9b2o\$9bo\$21bobo\$21b2o\$22bo2\$11bo\$9bobo\$10b2o6\$31bo\$29b2o\$8bo21b
2o\$2bo6b2o4b2o4bo\$obo5b2o5bobo2bobo\$b2o15bo2bo\$19b2o2\$19b2o\$19b2o2\$5b
2o\$4bobo14bobo\$6bo14b2o\$22bo2\$20b3o\$20bo\$21bo!
``````
EDIT: #s 270-272 from three 19-bitters:

Code: Select all

``````x = 30, y = 64, rule = B3/S23
3bo5bobo\$4bo5b2o\$2b3o5bo2\$8b2o\$b2o5bo\$obo6bo15b2o\$2bo5b2o14bobo\$7bo15b
o\$6bob4o11bob4o\$7bo4bo11bo4bo\$9b3o14b3o\$8b2o15b2o13\$3bo5bobo\$4bo5b2o\$
2b3o5bo2\$8b2o\$b2o5bo\$obo6bo15b2o\$2bo5b2o14bobo\$7bo4bo10bo5bo\$6bob5o10b
ob5o\$7bo16bo\$8bobo14bobo\$9b2o15b2o14\$3bo5bobo\$4bo5b2o\$2b3o5bo2\$8b2o\$b
2o5bo\$obo6bo15b2o\$2bo5b2o14bobo\$7bo4bo10bo5bo\$6bob5o10bob5o\$7bo16bo\$8b
3o14b3o\$10bo16bo!
``````
EDIT 2: #144 from a 16-bitter:

Code: Select all

``````x = 64, y = 20, rule = B3/S23
12bo\$13b2o\$12b2o28bobo\$43b2o\$2bobo38bo\$3b2o\$3bo37b2o\$8bo32bo\$b2o5b2o
32bo\$obo4bobo33bo\$2bo12bo28bo12bo2bo\$13b3o19bo5b4o12b4o\$4bo7bo3b2o6b2o
10b2o2bo4b2o14b2o\$4b2o5bobobo2bo4b2o10b2o3bobobo2bo9b2obo2bo\$3bobo6b2o
bobo7bo15b2obobo10b2obobo\$16bo28bo15bo2\$36b2o\$37b2o\$36bo!
``````
EDIT 3: #203 from a 15-bitter:

Code: Select all

``````x = 127, y = 56, rule = B3/S23
83bo\$83bobo\$83b2o\$59bobo\$60b2o\$60bo3\$5bo44bo\$6bo44bo\$4b3o42b3o\$8bo\$7bo
\$7b3o\$4bo\$5bo103bobo\$3b3o104b2o\$12bo14b2o40b2o39bo\$10b2o15bo41bo\$11b2o
16bo41bo36b2o\$b2o20b2o3b2o35b2o3b2o3b2o25b2o4bo11b2o3bo\$o2bob2obo13bo
2bobo5bobo28bo2bobo4bo2bo23bo2bobobo10bo2bobobo\$bobobob2o14bobobo5b2o
30bobobo4bo2bo23b2obob2o11b2obob2o\$2bobo5b2o12bobo7bo31bobo6b2o26bobo
15bobo\$3bo6bobo12bo41bo35bobo15bobo\$10bo23b2o12bo55bo17bo\$34bobo11b2o\$
34bo12bobo3\$50b3o\$52bo35b2o\$51bo4bo30b2o\$56b2o31bo\$55bobo\$84b2o\$83b2o\$
85bo\$67bobo\$67b2o\$68bo20b2o\$88b2o\$67b2o21bo\$67bobo\$67bo9\$78b2o\$77b2o\$
79bo!``````
EDIT 4: #223 from a 16-bitter:

Code: Select all

``````x = 17, y = 17, rule = B3/S23
4bobo\$5b2o\$5bo4bo\$11b2obobo\$10b2o2b2o\$2o2bo2bo7bo\$o3b4o\$b3o\$3bobo\$4b2o
7bo\$13bobo\$9b2o2b2o\$8b2o\$10bo\$3b3o\$5bo\$4bo!
``````
EDIT 5: #149 from a trivial 17-bitter:

Code: Select all

``````x = 28, y = 41, rule = B3/S23
21bobo\$21b2o\$22bo5\$13bo\$11bobo\$12b2o2\$12bo\$obo9b2o\$b2o8bobo\$bo8\$18bo\$
17bobo\$18bo2b2o\$19b3obo\$24bo\$21b2obo\$21bobo\$22bo8\$7b3o\$9bo15b2o\$8bo16b
obo\$25bo!
``````
EDIT 6: Full synthesis of #231:

Code: Select all

``````x = 467, y = 36, rule = B3/S23
429bo\$317bo112bo\$316bo78bo32b3o15bo\$101bo214b3o74b2o51bobo\$102bo291b2o
50b2o\$29bo70b3o7bo227bo\$29bobo72bo4bo30bo198b2o2bo51bo21bo\$25bo3b2o73b
obo2b3o23bo3bo198b2o2b2o50b2o20bo22b2o\$2bo17bo3bo79b2o30b2ob3o200bobo
29bo5bo13bobo15b3ob3o19bo2bo\$obo15bobo3b3o108b2o123bo114bo3bo58bobo\$b
2o16b2o238bo24bo64bo23b3o3b3o49b2o6bo8bo\$142b2o115b3o23bo62bo83b2o14bo
bo\$27b2o19bobo22bobo19bobo14bo14bobo11b2o14bobo27bobo15bo20bobo20bobo
24bobo4b3o16bobo27bobo13b3o14bobo24bobo16bobo17bo4bobo9b2o11bo\$3bo23bo
bob2o15b2obob2o18b2obob2o15b2obob2o9b2o14b2obo12bo13b2obo26b2obo12b2o
21b2obo19b2obo23b2obo22b2obo26b2obo29b2obo7b2o14b2obo15b2obo21b2obo21b
3o\$2bo26bobobo17bobobo20bobo19bobo10bobo16bo29bo2b2o25bo2b2o9b2o23bo2b
2o18bo2b2o22bo6bo18bo2bo26bo2b2o28bo7bobo16bo18bo24bo24bo\$2b3o22bobobo
bo14b2obobobo17b2obobo16b2obobo26b2obob2o23b2obobobo22b2obobobo31b2obo
bobo15b2obobobo5bo13b2obob2o2b2o15b2obobobo22b2obobo2bo24b2obobo5bo15b
2obobo13b2obobo19b2obobo19b2obo\$7b2o18b2o3bo15bobo3bo18bobobo4bo12bobo
bo27bobobobo23bobobo7bo9bobo5bobobo34bobobo18bobobo8bobo11bobobobo2bob
o14bobobo2bo22bobobob2o5b2o18bobobobo20bobobobo12bobobobo18bobobobo18b
obob2o\$b2o3b2o41bo25bo6bobo12bo10b3o18bo29bo9bobo8b2o7bo38bo22bo10b2o
14bo25bo4b2o23bo3bo5b2o21bo3bo22bo3bo14bo3bo20bo3bo20bo2bo\$obo5bo10b2o
33b2o18b2o6b2o12b2o10bo19b2o28b2o9b2o9bo7b2o37bobo20bobo6b2o16bobo23bo
bo15bo11bobo2bobo5bo19bobo2b2o20bobo2bobo11bobo2bobo17bobo2bobo17bobo\$
2bo15bobo3b3o27bobo22b2o19b2o7bo117b2o22bo6b2o18bo4b2o19bo15b2o12bo4b
2o26bo26bo4b2o12bo4b2o18bo4b2o18bo\$20bo3bo22b3o4bo24bobo18b2o67bo28b2o
60bo23b2o2b2o30bobo\$25bo4bo18bo29bo59b2o27b2o27bo2bo27bo54bo3b2o159b2o
\$29b2o17bo90bobo26bobo26bo2bo27b2o59bo56bo101bobo\$29bobo18bo88bo46b2o
10b2o27bobo90b2o23b2o101bo\$49b2o57b3o74bobo43b2o87bobo22bobo96b3o\$34bo
14bobo56bo78bo43bobo86bo125bo\$33b2o74bo81b3o13b3o21bo118bo94bo\$33bobo
155bo15bo141b2o\$98b2o92bo15bo92bo47bobo\$99b2o200b2o\$98bo201bobo7b2o\$
310bobo\$310bo\$306b3o\$308bo\$307bo!
``````
EDIT 7: This solves #236:

Code: Select all

``````x = 257, y = 50, rule = B3/S23
139bo\$140bo\$138b3o5\$204bo25bo\$205bo5bo17bo\$203b3o6b2o15b3o\$211b2o\$234b
o\$232b2o\$8bo224b2o\$7bo199bo\$7b3o198b2o5bo\$obo204b2o4bobo\$b2o20b2o23b2o
28b2o34b2o50b2o46b2o9b2o\$bo7b2o8b2obobo19b2obobo24b2obobo30b2obobo46b
2obobo53b2obobo23bo\$8b2o8bobobo4bo15bobobo25bobobo31bobobo47bobobo56bo
bo24bobo\$6bo3bo8bo2bo4bobo14bo2bo26bo2bo14bobobo13bo2bo48bo2bo56bobo
24bobo\$4bobo15bobo2b2o18bobob2o24bob2o32bob2obo46bob2obo50b2obob2obo
18b2obob2obo\$5b2o16b2o5b2o16b2ob2o6b2o17b2obo32b2ob2o47b2ob2o41bo11bob
ob2o21bobob2o\$30bobo22b2o2bobo20bo129b2o10b2o25b2o\$30bo25b2obo23bo127b
obo\$55bo26b2o\$115b2o2b2o46b2o2b2o\$115b2o2bobo45b2o2bobo\$120b2o50b2o3\$
44bo\$44b2o117bobo\$43bobo118b2o\$164bo4\$135b2o26b3o\$134bobo28bo\$136bo4b
2o21bo\$142b2o\$141bo2\$145b3o\$147bo\$146bo48bo\$189bo4b2o\$188b2o4bobo\$188b
obo!
``````
EDIT 8: #130 can be solved the same way as 15.390:

Code: Select all

``````x = 43, y = 45, rule = B3/S23
21bobo\$21b2o\$22bo11\$33bo\$bo29b2o\$o15b2o14b2o\$3o12bob3o\$15bo4bo\$16b3obo
\$b3o15bo\$bo14b3o\$2bo13bo12\$5b2o\$4bobo21b3o\$6bo21bo5b3o\$29bo4bo\$35bo\$
23b3o\$23bo\$24bo2\$40b3o\$40bo\$41bo!
``````
Last edited by Extrementhusiast on January 7th, 2014, 10:27 pm, edited 1 time in total.
I Like My Heisenburps! (and others)

mniemiec
Posts: 1180
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:Also, while there are still so many, can we post which group the SL was in? (This one was in the first group.)
I hadn't been doing this, but I've edited the post I had been composing to add these numbers. It also seems fortunate that I think differently than everybody else, in that there's fairly little overlap between the objects I have been working on, and those others have been.
Extrementhusiast wrote:Well, one of them (block on cover siamese test tube baby) is trivial:
Indeed it is! Apparently, the method this uses never got added into the methods database for the expert system. Now fixed. Thanks.
This also solves 1 23-bit pseudo-still-life: the last formerly-unsolved pseudo-16 (two trans hooks w/tails) with one transformed just as the test tube baby was, and 11 24-bit ones.
This also solves 2 17-bit still-lifes, from 21 and 31 gliders (#127, #233):

Code: Select all

``````x = 250, y = 108, rule = B3/S23
140bo\$141bo89bo\$62bo76b3o88bo\$60bobo127bo39b3o\$61boo80bo46bobo\$143bobo
32bobo9boo16boo18boo\$139b3oboo34boobbo24boo18boo\$12bobo31bo10bobo6bo
74bo37bo3bobo7boo\$13boo30bobo10boo5bobo72bo27boo6boo5boo3boo3bobo\$13bo
31bobbo9bo6bobbo19bo19bo19bo19bo20bo5bobo11bo3bo10booboo15booboo15boob
oo\$46b3o17b3o17b3o17b3o17b3o17b3o17b3o8bo8b3o16boboo16boboo16boboo\$21b
obo32boo27bo19bo19bo19bo19bo19bo19bo19bo19bo\$21boo23boobo7boo7boobo16b
oobo16boobo16boobo16boobo16boobo16boobo16boobo16boobo16boobo\$22bo23bob
oo6bo9boboo14boboboo14boboboo14boboboo14boboboo14boboboo14boboboo14bob
oboo14boboboo14boboboo\$84boo18boo18boo18boo18boo18boo18boo18boo18boo\$
20b3o37boo\$20bo40boo\$21bo38bo\$78boo18boo\$58bo5boo12boo18boo\$8boo48boo
4bobo\$bo7boo46bobo4bo30b3o\$boo5bo88bo\$obo93bo14\$221bo\$214bo5bo\$215bo4b
3o\$213b3o\$209b3o\$95bo115bo\$95bobo24bobo43bo41bo\$95boo26boo42bo\$123bo
43b3o\$94bo145bo\$92bobo144bobo\$93boo73b3o69boo\$113booboo15booboo18boo
12bo5boo18boo28boo18boo\$113bo3bo15bo3bo19bo11bo7bo19bo29bo19bo\$114b3o
17b3o17b3o17b3o11booboob3o21booboob3o11booboob3o\$154bo19bo13booboobo
23booboobo13booboobo\$116b3o17b3o17b3o9bo7b3o17b3o27b3o17b3o\$116bobbo5b
3o8bobbo15boobbo8boo5boobbo15boobbo25boobbo15boobbo\$118boo7bo10boo18b
oo7bobo8boo18boo28boo18boo\$95boo29bo\$94bobo\$96bo\$90boo\$89bobo5boo37boo
\$91bo5bobo27boo6boo\$97bo30boo7bo\$127bo3b3o\$131bo\$132bo16\$132bo\$133boo
94bo\$132boo94bo\$188bo39b3o\$188bobo\$80bo19bo39bo35bobo9boo16boo18boo\$
79bobo17bobo37bobo35boobbo24boo18boo\$80boo18boo31boo5boo35bo3bobo7boo\$
86boo18boo24bobo11boo18boo6boo5boo3boo3bobo\$87bo19bo26bo12bo19bo5bobo
11bo3bo10booboo15booboo15booboo\$78booboob3o11booboob3o31booboob3o17b3o
8bo8b3o16boboo16boboo16boboo\$78booboobo13booboobo33booboobo18bo19bo19b
o19bo19bo\$75bo10b3o17b3o37b3o15bob3o15bob3o15bob3o15bob3o15bob3o\$76bo
8boobbo15boobbo35boobbo15boobbo15boobbo15boobbo15boobbo15boobbo\$74b3o
11boo9bo8boo21b3o5bo8boo18boo18boo18boo18boo18boo\$98bobo32bo4bobo\$77b
3o18bobo31bo5bobo\$79bo19bo39bo\$78bo62b3o\$141bo5b3o\$142bo4bo\$133b3o12bo
\$135bo\$134bo\$143b3o\$143bo\$144bo!
``````
Over all still-lifes 17-24 bits, this seems to solve slightly under 0.5% of each size. Considering that any mechanism that solves 1% of all remaining objects is "very successful", this one is quite fruitful indeed!
Extrementhusiast wrote:You missed this one from page one: A lead on 28P7.1
(#254) I went back and looked at the synthesis, and don't remember it. Probably because the one I have for it is more recent, complete, and totally different (first step is two long bookends; yours from Nov. 9). The still-life can be reduced by one by making both blocks simultaneously in the first step:

Code: Select all

``````x = 114, y = 21, rule = B3/S23
7bo\$5bobo\$6boo3bo\$9boo\$bo8boo\$boo\$obo24boo3boo13boo3boo13boo3boo13boo
3boo\$27boo3boo13boo3boo13boo3boo13boo3boo\$107boo3boo\$107bobbobbo\$108b
5o\$\$68b3o17b3o17booboo\$108booboo\$91b3o\$45bo45bo\$45boo39bo5bo\$44bobo37b
obo\$49boo34boobboo\$48boo38bobo\$50bo39bo!
``````
Extrementhusiast wrote:Copying the method verbatim for the griddle with cross-snake solves a sixth:
Actually, this one was solvable, and not one of the ones on the list. The unsolvable one (#180) was similar, with the snake facing in the other direction, and should be put back on the list. The one you gave is buildable much more cheaply, for 17 gliders:

Code: Select all

``````x = 108, y = 27, rule = B3/S23
bobo\$bboo\$bbo\$10bobo\$10boo30bo\$11bo30bobo\$obo39boo\$boo13bo21bo\$bo12boo
23boo\$15boo21boo\$9bo\$9bobo13boo18boo18boo18boo18boo\$9boo14bo19bo19bo
19bo19bo\$bobo13bo9bo10bo8bo14bo4bo14bo4bo14bo4bo\$bboo11boo6b5o8bobo4b
5o7bo6b6o7bo6b6o14b6o\$bbo13boo4bo10boobboo3bo12bo19bo\$8boo13bobo6bobo
8bobo9bo6boobo9bo6boobo16boobo\$3boo3bobo13boo8bo9boo16boboo16boboo16bo
boo\$4boobbo64boo\$3bo68bobo\$74bo\$38boo\$39boo\$12b3o23bo\$14bo27boo\$13bo
28bobo\$42bo!
``````
Sokwe wrote:I guess it's open season on the easy 17-bit still lifes. Here's six obvious ones:
The last one reminds me of a joke I once heard:

A math professor is giving a lecture on some esoteric subject. Halfway through the lecture, after filling several boards with figures, he scribbles down an answer, and says "the result is obvious". A young man in the audience asks "Excuse me, professor, but how is that obvious?". The professor looks at his calculations, stares at them for 20 minutes, and finally says "yes, it's obvious."

Curiously, I looked at this one again a few days later, to see about making the one immediately following it (no luck). Comparing it to the related 16-bit still-life, this one is, indeed, obvious
Sokwe wrote:I am surprised that you don't already have this beehive-to-loaf converter:
This also solves two other 17s; one that was could already be made from the second-last 16 (so there's no savings), and this one (#324) from 36 gliders:

Code: Select all

``````x = 129, y = 127, rule = B3/S23
29bo\$27bobo\$28boo5\$23bo49bo\$22bo50bobo\$22b3o7boo39boo\$20bo11bobo8boobb
ooboo11boobbooboo11boobboo14boobboo14boobboo\$18bobo11bo10bobobboboo11b
obobboboo11bobobbo14bobobbo14bobobbo\$19boo25boo18boo18boo18boo5bo12boo
\$13bo30boo18boo18boo11bo6boo7bobo8boo\$11bobo29bobo17bobo17bobo12boo3bo
bo7boo10bo\$12boo19boo9bo19bo19bo12boo5bo20bobo\$32boo76bo15boo\$26boo6bo
65bobo6boo\$26bobo72boo6bobo\$26bo74bo\$\$16boo81boo\$17boo81boo\$9boo5bo82b
o\$8bobo15boo\$10bo14boo\$27bo17\$38bo\$38bobo\$38boo14\$23bo\$24bo\$22b3o\$\$23b
o73bo\$23boo70bobo\$22bobo71boo\$59bo19bo19bo\$43boo15bobboo13bobo17bobo\$
43boo13b3obboo13bobo17bobo\$55bo23bo19bo\$23boobboo14boobboo7bo6boobboo
15bobboo15bobboo15bobboo\$23bobobbo14bobobbo5b3o6bobobbo14bobobbo14bobo
bbo14bobobbo\$26boo18boo10b3o5boo15bobboo15bobboo15bobboo\$24boo18boo14b
o3boo18boo18boo18boo\$25bo19bo13bo5bo19bo19bo19bo\$25bobo17bobo17bobo17b
obo17bobo17bobo\$26boo18boo18boo18boo18boo18boo13\$109bo\$108bo\$108b3o\$\$
93bo\$94bo17bo\$92b3o16bo\$111b3o3\$83bobo\$84boo\$84bo\$\$4bo\$4bobo\$o3boo27bo
\$boo19boo10boo16boo18boo28boo\$oo19bobo9boo16bobo17bobo27bobo\$21bo29bo
19bo29bo\$20boo16bo11boo11boo5boo21boo5boo\$4bobboo15bobboo10bo14bobboo
3bobbo8bobboo13bobbo8bobboo14boobboo\$3bobobbo14bobobbo8b3o13bobobbo4bo
bo7bobobbo14bobo7bobobbo13bobbobbo\$3bobboo15bobboo25bobboo6bo8bobboo
16bo8bobboo15bobboo\$4boo18boo28boo18boo28boo18boo\$5bo19bo10b3o16bo19bo
29bo19bo\$5bobo17bobo10bo16bobo17bobo27bobo17bobo\$6boo18boo9bo18boo18b
oo28boo18boo3\$88boo3boobboo\$87bobo4boobobo\$89bo3bo3bo3\$99b3o\$99bo\$100b
o!
``````
This also solves around 0.3% of still-lifes from 18-24 bits, which is very respectable, plus 1 23-bit pseudo-still-life and 3 24s.
Sokwe wrote:Here are four more based on previous syntheses:
The third one (#322) yields this trivial (and cheaper) variant that's cheaper than moving the block later:

Code: Select all

``````x = 76, y = 20, rule = B3/S23
39bobo8bo\$40boo9bo\$40bo8b3o9bo\$4bo48bo6bo\$bboo49bobo4b3o\$3boo39bo8boo\$
45bo\$43b3o\$\$41boo28booboo\$o4bo14boo18bobo7boo20boboo\$boobo15bobo19bo7b
obo16bobbo\$oobb3o14boo28boo16b4o\$\$21boo28boo18boo\$21boo28boo18boo\$\$63b
3o\$63bo\$64bo!
``````
#112 from 44:

Code: Select all

``````x = 173, y = 83, rule = B3/S23
45bo9bo\$10bo35boo5boo\$10bobo32boo7boo79bobo\$10boo124boo\$45bo9bo80bo\$9b
o35boo7boo\$7bobo34bobo7bobo85bo\$8boo53boo3booboo3boo5boo3booboo3boo5b
oo3booboo3boo5boo3booboo3boo4bobo8boo3booboo\$28booboo15booboo10bobobob
obobobobo5bobobobobobobobo5bobobobobobobobo5bobobobobobobobo4boo9bobob
obobo\$28bo3bo9boo4bo3bo4boo5bo3bo3bo3bo7bo3bo3bo3bo7bo3bo3bo3bo7bo3bo
3bo3bo17bo3bo3bo\$29b3o9bobo5b3o5bobo9b3o17b3o17b3o17b3o27b4o\$43bo13bo\$
27b3o17b3o17b3o17b3o17b3o17b3o8b3o16b4o\$27bobbo16bobbo16bobbo16bobbo
16bobbo16bobbo7bo18bo3bo\$29boo18boo18boo18boo18boo18boo8bo20boo\$6boo\$
5bobo115bobo\$7bo100boo14boobboo\$3o84b3o18boo14bo3boo\$bbo5boo79bo31boo\$
bo6bobo77bo31bobo\$8bo81b3o29bo\$90bo\$91bo14\$3boo3booboo10boo3booboo10b
oo3booboo10boo3booboo10boo3booboo10boo3booboo20boo3booboo20boo3booboo\$
3bobobobobo11bobobobobo11bobobobobo11bobobobobo11bobobobobo11bobobobob
o21bobobobobo21bobobobobo\$4bo3bo3bo11bo3bo3bo11bo3bo3bo11bo3bo3bo11bo
3bo3bo11bo3bo3bo21bo3bo3bo21bo3bo3bo\$9b4o5bo10b4o16b4o16b4o16b4o16b4o
26b4o26b4o\$16boo\$7b4o6boo8b4o16b4o8bo11boo18boo18boo28boo7bo18boo\$7bo
3bo15bo3bo15bo3bo5boo12boo18boo17bobo9b4o14bobo7bobo16boo\$10boo18bo19b
o3boobboo38bo12bo9bo3bo15bo8boo\$30boo18boobbobo39boo27bo\$47boo5bo33boo
3boobboo22bobbo22b3o\$13boo31bobo40boobbobo51bo\$13bobo32bo39bo4bo37b3o
14bo\$13bo119bo\$10boo120bo\$9bobo134boo\$11bo134bobo\$146bo8\$44bo\$44bobo\$
44boo\$\$36bo\$37boo\$3boo3booboo10boo3booboo3boo5boo3booboo15booboo15boob
oo15booboo\$3bobobobobo11bobobobobo11bobobobobo17bobo17bobo17bobo\$4bo3b
o3bo11bo3bo3bo11bo3bo3bo15bo3bo15bo3bo15bo3bo\$9b4o16b4o16b4o15b5o15b5o
15b5o\$\$9boo18boo9bo8boo19bo19bo19bo\$9boo17bobo9boo6bobo18bobo17bobo17b
obo\$29bo9bobo7bo3bo16boo18boo18bo\$6bo46bobo\$6boobboo41boo36bo\$5boboboo
80boo\$11bo40bo37bobo\$51boo41boo\$9boo40bobo40bobo\$8bobo83bo\$10bo!
``````
Two related ones (#124, #123) from 34 and 35:

Code: Select all

``````x = 161, y = 102, rule = B3/S23
41bo\$39bobo\$40boo24bo\$66bobo\$34bobo29boo\$35boo\$35bo\$68bo\$66boo\$67boo\$\$
142bo\$141bo\$141b3o\$22boo28boo85bo\$boo18bobbo26bobbo82bobo\$obo19boo28b
oo84boo\$bbo144bo\$4boo140bo\$4bobo23boo3bo110b3o\$4bo24bobobboo96boo\$31bo
bbobo41bo19bo19bo12bobo4bo19boo\$77bobo17bobo17bobo13bo3bobo17bobbo\$77b
obbo16bobbo16bobbo16bobbo16bobbo\$75booboo15booboo15booboo15booboo15boo
boo\$76bobo17bobo17bobo17bobo8boo7bobo\$76bobo17bobo17bobo17bobo8bobo6bo
bo\$77bo19bo19bo19bo9bo9bo\$141bo\$141boo\$140bobo\$46bobo\$46boo16b3o\$47bo
16bo\$65bo\$46boo27boo18boo\$46bobo26boo18boo\$46bo\$93boo\$92bobo\$94bo14\$
24bo\$22bobo\$23boo11\$91bo\$89boo\$77bo12boo\$39bo38bo\$38bo37b3o62bobo\$38b
3o101boo\$76bo65bo\$39bo36boo\$38boo35bobo\$38bobo99b3o\$115boo18boo3bo\$58b
oo18boo17bobbo14bobo13bo3bobo3bo16boo\$58boo18boo16bo21bo13boo4bo19bo\$
96bo3bo18bo11boo6bo19bo\$38boo18boo18boo16b4o18boo18boo18boo\$37bobbo16b
obbo16bobbo36bo19bo19bo\$37bobbo16bobbo16bobbo36bo19bo19bo\$35booboo15b
ooboo15booboo35booboo15booboo15booboo\$36bobo17bobo8boo7bobo37bobo17bob
o17bobo\$36bobo17bobo9boo6bobo37bobo17bobo17bobo\$37bo19bo9bo9bo39bo19bo
19bo4\$89boo\$89bobo\$89bo\$\$76bo\$76boo\$75bobo\$\$92bo\$91boo\$91bobo!
``````

Code: Select all

``````x = 122, y = 102, rule = B3/S23
55bo\$55bobo\$30bo24boo\$28bobo\$29boo29bobo\$60boo\$61bo\$28bo\$29boo\$28boo\$\$
94bo\$95bo\$93b3o\$23boo18boo21bo30bo\$4boo16bobbo16bobbo18boo31bobo\$4bobo
16boo18boo20boo30boo\$4bo84bo\$boo87bo\$obo85b3o\$bbo100boo\$78bo19bo4bobo
11boo\$77bobo17bobo3bo12bobbo\$76bobbo16bobbo16bobbo\$77booboo15booboo15b
ooboo\$78bobbo6boo8bobbo16bobbo\$78bobo6bobo8bobo17bobo\$79bo9bo9bo19bo\$
95bo\$94boo\$94bobo\$48bobo\$30b3o16boo\$32bo16bo\$31bo\$49boo\$48bobo\$50bo\$\$
42bo\$42boo12boo\$41bobo11boo\$57bo8boo\$66bobo\$66bo10\$22bo\$22bobo\$22boo
11\$45bo\$46boo\$45boo12bo\$7bo50bo\$8bo49b3o32bobo\$6b3o84boo\$60bo33bo\$7bo
51boo\$7boo50bobo\$6bobo85b3o\$80boo14bo3boo\$27boo7bobbo17boo20bobo13bo3b
obo3bo11boo\$27boo11bo16boo19bo19bo4boo13bo\$36bo3bo36bo19bo6boo11bo\$7b
oo18boo8b4o16boo18boo18boo18boo\$6bobbo16bobbo26bobbo19bo19bo19bo\$6bobb
o16bobbo26bobbo19bo19bo19bo\$7booboo15booboo25booboo15booboo15booboo15b
ooboo\$8bobbo16bobbo26bobbo6boo8bobbo16bobbo16bobbo\$8bobo17bobo27bobo6b
oo9bobo17bobo17bobo\$9bo19bo29bo9bo9bo19bo19bo4\$46boo\$45bobo\$47bo\$\$60bo
\$59boo\$59bobo\$\$44bo\$44boo\$43bobo!
``````
Another fairly obvious one (#246) from 16 (unfortunately, it's twin (#247) won't be as easy):

Code: Select all

``````x = 121, y = 31, rule = B3/S23
93bo\$87bobo4bo\$88boobb3o\$84bo3bo\$82bobo\$83boo20bobo\$105boo\$106bo\$\$obo\$
oo\$bo\$6bobo30bo\$bboobboo30bo76boo\$bobo3bo18boo10b3o5boo18boo28boo18bo\$
3bo21bobo17bobo11boo4bobo21boo4bobo17bo3bo\$25boo11bo6boo11bobo4boo18bo
bbobo4boo18b5o\$38boo19bo23bobo3bo\$37bobo44boo31bo\$81boo34b3o\$80bobo37b
o\$82bo23boo11boo\$90bo15bobo\$88bobo15bo\$89boo4bo\$95bobo\$95boo\$106bo\$82b
oo21boo\$81bobo21bobo\$83bo!
``````
Three more related obvious ones (#325,#387,#362) from 16,16,13:
(UPDATE: The first two of these were previously posted, found at around the same time)

Code: Select all

``````x = 131, y = 123, rule = B3/S23
82bo25bo\$80bobo25bobo\$81boobbobo5bo14boo\$86boo6bo\$86bo5b3o\$125boo\$124b
obo\$126bo4\$6bobo\$7boo41bo\$7bo40boo19bo29bo\$9bo13boobo16boobobboo12boob
obobo22boobobobo22boobobbo\$4boobbo14boboo16boboo16bobooboo23bobooboo
23bob5o\$3boo3b3o\$5bo121bo\$oo79boo42b3o\$boo79boo22bo17bo\$o80bo23bo18boo
\$105b3o\$\$95bobo\$95boobb3o\$96bobbo\$100bo\$\$86boo\$87boo23b3o\$86bo25bo\$
113bo10\$83bo23bo\$81bobo23bobo\$82boobbobo5bo12boo\$87boo6bo\$87bo5b3o29b
oo\$124bobo\$126bo4\$6bobo\$7boo41bo\$7bo40boo19bo29bo\$9bo13boobo16boobobb
oo12boobobobo22boobobobo22boobobbo\$4boobbo14boboo16boboo16bobooboo23bo
booboo23bob5o\$3boo3b3o\$5bo76boo43bo\$oo81boo42b3o\$boo79bo47bo\$o88bo39b
oo\$90bo\$88b3o\$\$96bobo\$92b3obboo\$94bobbo\$93bo12boo\$81b3o21boo\$83bo23bo\$
82bo14\$74bo\$72boo41bo\$73boo40bobo\$62bo52boo\$39bobo18bobo29boo18boo\$40b
oo19boo29boo18boo\$40bo\$61bo\$61boo\$60bobo10\$83boo18boo18boo\$83bobbobbo
13bobbobbo13bobbobbo\$85b5o15b5o15b5o\$\$87bo19bo19bo\$67bobo15b3o17b3o17b
3o\$41boo24boo15bo19bo19bo\$40bobo11bobo11bo15boo18boo18boo\$42bo12boo\$
55bo\$25boo17boo\$4bobo17bobbo15bobo\$5boo17bobbo17bo\$5bo19boo\$\$4boo\$3bob
o\$5bo38b3o28bo\$46bo27boo\$45bo28bobo!
``````
Another "obvious" one (#335) from 41 gliders (obvious, because it's identical to the method used to construct a pseudo-still-life, except for the first two steps):
(UPDATE: The final step of this one was also posted, using the same method):

Code: Select all

``````x = 174, y = 89, rule = B3/S23
144bo\$142boo\$70bo22bobo47boo\$24bo16bo19bo7bo11bo12boo5bo19bo18bo10bo
19bo\$23bo16bobo17bobo6b3o8bobo11bo5bobo17bobo18bo8bobo17bobo\$20boob3o
13bobbo16bobbo16bobbo16bobbo16bobbo16b3o7bobbo16bobbo\$19bobo18boo18boo
4boo11booboo8boo5booboo15booboo25booboo15booboo\$21bo43boo13bo12boo5bo
19bo29bo9booboo5bo\$67bo10bobo11bo5bobo17bobo27bobo10bobo4bobo\$78boo18b
oo17bobo27bobo11bobo3bobo\$59b3o26bo29bo29bo13bo5bo\$59bo26bobo7bo43bo\$
60bo26boo6boo43boo\$55b3o32boo3bobo41bobo\$57bo31bobo\$56bo34bo50b3o\$58b
3o81bo\$58bo84bo\$59bo9\$140bo\$139bo\$139b3o\$137bo\$87bobo41bo3bobo\$87boo
43bo3boo\$51bo19bo16bo12bo19bo8b3o18bo19bo\$50bobo17bobo13bo13bobo17bobo
27bobo17bobo\$49bobbo16bobbo14bo11bobbo16bobbo26bobbo16bobbo\$49booboo
15booboo11b3o11booboo15booboo25booboo15booboo\$40booboo5bo9booboo5bo19b
ooboo5bo9booboo5bo19booboo5bo12boo5bo\$41bobo4bobo9boobo4bobo19boobo4bo
bo8bobobo4bobo18bobobo4bobo12bo4bobo\$41bobo3bobo13bo3bobo16bo6bo3bobo
10bobbo3bobo20bobbo3bobo10boobo3bobo\$42bo5bo14boo3bo17boo5boo3bo14boo
3bo24boo3bo11booboo3bo\$85bobo4\$35boo5boo\$36boo5boo6boo81boo\$35bo6bo7b
oo81bobo\$46b3o3bo82bo\$48bo\$47bo97boo\$144boo\$146bo16\$6bo61boo18boo18boo
28boo9bo\$5bo41bobo17bobbo16bobbo16bobbo26bobbo6boo\$5b3o40boo17bobbo16b
obbo16bobbo26bobbo7boo\$3bo44bo19boo18boo18boo28boo\$4bo\$bb3o6bo11boo6bo
15boo4boo6bo11boo6bo11boo6bo11boo6bo21boo6bo19bo\$10bobo10boo5bobo13bob
o4boo5bobo10boo5bobo10boo5bobo10boo5bobo14b3o3boo5bobo17bobo\$9bobbo16b
obbo15bo10bobbo16bobbo16bobbo16bobbo16bo9bobbo13boobobbo\$9booboo15boob
oo25booboo15booboo15booboo15booboo14bo10booboo13bobooboo\$3boo5bo12boo
5bo22boo5bo12boo5bo12boo5bo12boo5bo22boo5bo16bobbo\$3bo4bobo12bo4bobo
22bo4bobo12bo4bobo12bo4bobo12bo4bobo22bo4bobo17bobo\$oobo3bobo10boobo3b
obo20boobo3bobo10boobo3bobo10boobo3bobo10boobo3bobo20boobo3bobo19bo\$oo
boo3bo11booboo3bo21booboo3bo11booboo3bo11booboo3bo11booboo3bo21booboo
3bo\$137boo\$120boo14bobo11boo4bo\$100b3o17boo10boo4bo11boobboo\$100bo30bo
bo10boo9boo\$101bo31bo11boo\$97b3o44bo6bo\$99bo50boo\$98bo51bobo!
``````
Extrementhusiast wrote:270-272 from three 19-bitters:
Sometimes it is not clear whether such predecessors themselves are constructible. If not, it wouldn't really be proper to remove the 17s from the list. Are these three 19s known, or at least trivial?
Extrementhusiast wrote:#203 from a 15-bitter:
The middle step appears to create some toxic debris from the pond that attacks the still-life. It should be easy to remove, but I wonder if one of your cleanup gliders is just mispositioned?

By the way, I would especially like to see the ones with rear-facing loaves out of the way because these are the bases for the unbuildable 23-bit molds and 24-bit jams.

Sokwe
Moderator
Posts: 1674
Joined: July 9th, 2009, 2:44 pm

### Re: 17-bit SL Syntheses

#259, #265, and #295:

Code: Select all

``````x = 101, y = 127, rule = B3/S23
33bobo21bobo\$9bo23b2o22b2o\$10b2o22bo23bo\$9b2o2\$2bo\$obo5bo\$b2o6b2o28bo\$
8b2o27bobo\$38b2o\$41bo\$41b3o\$44bo\$43b2o2\$26bo\$25bobo\$24bobobo\$24bobobo\$
25bobo\$26bo8\$4b2o\$3bobo\$5bo4\$35b3o\$35bo\$12b3o21bo\$14bo\$13bo2\$36b3o\$36b
o\$37bo9\$17bo\$18b2o15bobo\$17b2o16b2o\$36bo10\$42bo\$26bo16bo\$25bobo13b3o\$
24bobobo\$14b2o8bo2bobo\$13bobo9bobobo12b3o\$15bo10bobo15bo\$27bo15bo12\$
22bo\$22b2o\$21bobo11\$13bo\$14b2o\$13b2o2\$34bo\$33bo\$33b3o2\$84bo\$9bo14bo58b
o\$7bobo13bobo7bobo43bo3b3o\$8b2o13bo2bo6b2o45b2o7bo\$24b2o8bo44b2o6b2o\$
88b2o\$33b3o28bo\$33bo30bobo\$34bo3b2o24b2o\$23bo14bobo19bobo\$21b3o14bo22b
2o35bobo\$20bo34bo5bo7bo15bo12b2o\$20b2o3b2o27bobo10b2o15bobo5b2o5bo\$24b
o2bo26bo2bo6b2o2b2o14bo2bo3bobo\$25b2obob2o23b2obob2o2bobo18b2obobo\$26b
ob2obo24bob2obo2bo21bob2o9bo\$26bo29bo29bo11bo\$4b2o19b2o28b2o28b2o11b3o
\$3bobo\$5bo\$9b2o77b2o\$8bobo78b2o\$10bo77bo!``````
mniemiec wrote:This also solves 2 17-bit still-lifes, from 21 and 31 gliders (#127, #233)
As I mentioned before, #233 gives #255:

Code: Select all

``````x = 72, y = 19, rule = B3/S23
59bobo\$4b2o28b2o24b2o2b2o\$4bo2b2o21bo3bo2b2o21bo3bo2b2o\$5b3obo21bo3b3o
bo25b3obo\$10bo18b3o8bo29bo\$7b2obo26b2obo18bobo3b4obo\$7b2ob2o15b2o7bobo
b2o18b2o3bo2bob2o\$26bobo7b2o22bo7bo\$4bo23bo38b2o\$5bo3b2o47b2o\$3b3o2bo
2bo45bobo\$8bo2bo2b3o42bo\$3o6b2o3bo17b2o\$2bo12bo15bobo\$bo31bo\$12b2o21b
3o\$12bobo11b2o7bo\$12bo14b2o7bo\$26bo!``````
-Matthias Merzenich

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

#171 can be made from an 18-bitter via the usual method:

Code: Select all

``````x = 29, y = 31, rule = B3/S23
13b2o\$12b2o\$8bobo3bo9bo\$9b2o11b2o\$9bo13b2o3\$6bobo\$7b2o\$7bo3\$obo\$b2o14b
2o\$bo14bo2bo\$17b3o\$20b2o4b3o\$17b3o2bo3bo\$17bo2bobo4bo\$20b2o4\$4bo\$4b2o
11b3o\$3bobo11bo\$18bo2\$21bo\$20b2o\$20bobo!
``````
EDIT: #272 from a trivial 17-bitter:

Code: Select all

``````x = 330, y = 45, rule = B3/S23
195bobo\$195b2o80bo\$196bo79bo\$261bo14b3o\$104b2o101bo41bo9b2o5bobo\$103b
2o101bo43b2o8b2o4b2o\$99bobo3bo51bobo39bobo4b3o40b2o16bo\$33bo66b2o56b2o
39b2o\$34b2o37bo26bo57bo41bo18bo12bo\$33b2o4bobo6bobo23bo35bo106bobo13b
2ob2o31bo\$40b2o6b2o22b3o33b2o25bo24bobo55b2o12b2o2bobo29bobo\$40bo8bo
26bo32b2o16b2o6bobo15b2o5b2o22b2o35b2o13bo13bo6b2o10b2o\$4bobo69bobo48b
o2bo4b2o16bo2bo4bo22bo2bo32bobo3b2o23b2o4b2o2b2o\$5b2o43b2o24b2o50b3o
23b3o28b3o34bo3b2o22b2o9b2o\$5bo43b2o84bo24b2o146bo18bo\$7bo5bo22b2o6b2o
5bo20b2o26b2o26b3o3b2o18b3o2bo2bo22b3o38b4o31b4o8bo32b3o16b3o\$bo5b2o3b
obo22b2o4bo2bo23bo2bo25bo2bo6bo17bo2bo3bobo16bo2bo2bo2bo21bo3bo36bo4bo
29bo4bo6b2o31bo18bo\$b2o3bobo4b2o21bo6bob2o22bob2o25bob2o6b2o16bob2o22b
ob2o4b2o21bob4o35bob5o28bob5o6bobo29bob5o12bob5o\$obo41bo25bo28bo8bobo
16bo25bo30bo40bo34bo44bo4bo12bo5bo\$13b4o28b4o22b4o25b4o24b4o22b4o27b4o
37b5o21bo8b5o40b2o16bobo\$14bo2bo28bo2bo22bo2bo25bo2bo24bo2bo22bo2bo27b
o2bo37bo2bo21b2o8bo2bo26bo14bo17b2o\$12bo3bobo25bo3bobo19bo3bobo22bo3bo
bo21bo3bobo19bo3bobo24bo3bobo12b3o19bo25bobo6bo29bobo12bo\$12b2o3bo26b
2o3bo20b2o3bo23b2o3bo22b2o3bo20b2o3bo25b2o3bo13bo21b2o33b2o29b2o3bo8b
2o\$204bo92bo\$295b3o\$263b2o\$262bobo31bo\$264bo4b2o25b2o\$269bobo23bobo\$
269bo\$206bo\$194bobo8b2o55b2o\$194b2o9bobo53bobo35b2o\$195bo67bo36b2o\$
299bo\$194b2o\$194bobo\$194bo5\$185bo\$185b2o\$184bobo!
``````
EDIT 2: #238 from a 14-bitter:

Code: Select all

``````x = 28, y = 19, rule = B3/S23
5bo\$4bo\$o3b3o\$b2o7bo6bo\$2o6b2o7bobo\$9b2o6b2o6\$9b2o12b4o\$8bo2bo11bo3bo\$
7bob2o12bo\$8bo8b2o5bo2bo\$9b2o6bobo\$10bo6bo\$9bo\$9b2o!
``````
I Like My Heisenburps! (and others)

dvgrn
Moderator
Posts: 7179
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: 17-bit SL Syntheses

mniemiec wrote:Another fairly obvious one (#246) from 16 (unfortunately, it's twin (#247) won't be as easy)...
#247 isn't too difficult. I can do it with 19 gliders right away; there seems to be an easy reduction to 17 gliders, at least, but quite possibly someone who knows what they're doing can improve on that:

Code: Select all

``````#C #247 from 19 gliders, based on Mark Niemiec's synthesis for #246;
#C tail-last eater synthesis from Paul Chapman's Glue search program
x = 161, y = 159, rule = B3/S23
156bobo\$156b2o\$157bo2\$19bo139bo\$17bobo138bo\$18b2o138b3o3\$160bo\$21bobo
134b2o\$22b2o135b2o\$22bo15\$23bo\$21bobo\$22b2o5\$24bobo\$25b2o\$25bo3\$23bo\$
24b2o\$23b2o\$27bo\$28b2o\$27b2o11\$38bo\$39bo\$37b3o3\$40bo\$41b2o\$40b2o6\$54bo
bo\$55b2o\$55bo8\$64b3o\$66bo2b2o\$65bo2b2o\$70bo51\$149b3o\$149bo\$150bo4\$146b
3o\$146bo\$147bo8\$13bo140b3o\$13b2o139bo\$12bobo140bo6\$bo\$b2o\$obo!``````
I'll be curious if some variant of this recipe is useful elsewhere -- only the tail of the eater ever protrudes into the rightmost column.

EDIT: Make that 16 gliders -- the intermediate blinker can be replaced by a single glider:

Code: Select all

``````x = 67, y = 65, rule = B3/S23
62bobo\$62b2o\$63bo2\$19bo45bo\$17bobo44bo\$18b2o44b3o3\$66bo\$21bobo40b2o\$
22b2o41b2o\$22bo12\$12b2o\$11bo2bo\$12b2o\$23bo\$21bobo\$22b2o2bo\$25bobo\$26b
2o7\$55b3o\$55bo\$56bo\$6b2o\$7b2o\$6bo\$52b3o\$52bo\$53bo8\$13bo46b3o\$13b2o45bo
\$12bobo46bo6\$bo\$b2o\$obo!``````
I haven't found a way to improve on the beehive yet, but haven't quite done an exhaustive search; a tub would work just as well. The boat + glider collision would evolve into a century after 59 ticks, but the glider and beehive interfere halfway along.

Sokwe
Moderator
Posts: 1674
Joined: July 9th, 2009, 2:44 pm

### Re: 17-bit SL Syntheses

Path to #173:

Code: Select all

``````x = 78, y = 15, rule = B3/S23
62bo\$61b2o\$4b2o56bo\$46b2obo12bo\$4bo41bob2o11b3o4b2obo3bo\$4b3o18b2obo
21b2o16bob2o3bo\$7bo10bo6bob2o10bo7b3o2bo10bo8b2o\$4b3obobo8bo9b2o9bo6bo
2b2o12bo4b3o2bo\$4bo2bo2bo4b6o5b3o2bo4b6o7bo3b3o4b6o3bo2b5o\$5b2o12bo6bo
2b2o9bo7b2o3bo10bo6bo2b3o\$18bo9bo10bo14bo8bo6b2o3bobo\$27b2o21b2o19b2o\$
6obo41b2o20b3o\$b2ob4o63b3o\$50bo20b2o!``````
Edit: I don't see any way to get to the second step in the above. (Got it. See below)
Extrementhusiast wrote:#238 from a 14-bitter
A reduction by one glider:

Code: Select all

``````x = 21, y = 18, rule = B3/S23
2bo\$bo\$b3o\$12bo\$11bo\$11b3o3\$2o\$b2o14bo2bo\$o4b2o9bo\$4bo2bo8bo3bo\$3bob2o
4b3o2b4o\$4bo6bo\$5b2o5bo\$6bo\$5bo\$5b2o!``````
Edit 2: Here's #173:

Code: Select all

``````x = 169, y = 41, rule = B3/S23
24bo141bobo\$24bobo134bo4b2o\$24b2o135bobo3bo\$161b2o\$4bo129bo20bo\$2bobo
127bobo19bo\$3b2o18bo109b2o19b3o\$23bobo38bo\$23b2o38bo\$63b3o4bo61bo28bo\$
34bo33b2o60bobo11b3o13bo\$33bo28bo6b2o60b2o11bo15b3o\$33b3o25b2o82bo\$61b
obo\$126bo\$124bobo\$125b2o34bo\$o81bobo76bobo\$b2o79b2o73b2o2b2o\$2o53b2o
26bo21b2o38b2o9b2o\$15bo38bo2bo46bo2bo36bo2bo10bo\$15b3o37b3o47b3o2bo34b
3o2bo\$18bo39b2o48b3o37b3o\$15b3obo35b3o2bo44b3o37b3o\$15bo2bo36bo2b2o21b
o2bo20bo2bo36bo2bo\$16b2o39bo22bo25b2o39b2o\$56b2o22bo3bo\$80b4o2\$104b2o\$
104bobo\$31b3o66b2o2bo\$31bo5b3o59bobo\$32bo4bo63bo6b2o18b2o20bo\$38bo28b
2o39bobo16bobo19b2o\$67bobo38bo20bo19bobo\$67bo\$19bo31b3o23b2o\$16bo2bobo
31bo23bobo72b2o\$14bobo2b2o31bo24bo74bobo\$15b2o135bo!``````
Edit 3: #307 and #355:

Code: Select all

``````x = 24, y = 47, rule = B3/S23
8bo\$7bo\$7b3o2\$4bobo\$5b2o5bo\$5bo6bobo\$12b2o2\$6bobo7bo\$7b2o6bobo\$2bo4bo
6bo2bo\$3bo9bob2o\$b3o10bo\$12bobo\$11bobo\$5bo4bobo\$5b2o4bo\$4bobo3\$15b3o\$
15bo\$16bo7\$13bo\$11bobo\$12b2o\$4bo13bo\$5b2o9b2o\$4b2o3bo7b2o\$b2o7b2o\$obo
6b2o\$2bo\$16bo\$15bobo\$5b3o6bobo\$7bo4bo2bo\$6bo4bob2o7b2o\$12bo8b2o\$10bobo
10bo\$10b2o!``````
-Matthias Merzenich

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

#333 from a trivial 26-bitter:

Code: Select all

``````x = 31, y = 36, rule = B3/S23
16bo\$17bo\$15b3o3\$19bo3bo\$17bobob2o\$18b2o2b2o4\$27bobo\$27b2o\$28bo2\$8b2ob
2o3b2o\$8b2obobo2b2o\$11bobo\$11b2o2\$11b4o\$11bo3bob2o\$14b2obo\$17bo\$17b2o
5\$2bo\$obo\$b2o\$5b2o22b2o\$4bobo6b2o13b2o\$6bo6bobo14bo\$13bo!
``````
This could most likely be improved.

EDIT: #356 from a presumably trivial 20-bitter:

Code: Select all

``````x = 66, y = 15, rule = B3/S23
7b2o26b2o21b2o\$8bo4b2o21bo4b2o16bo4b2o\$8bob2o2bo21bob2o2bo16bob2o2bo\$
5bo3bob3o23bob3o18bob3o\$3bobo\$4b2o7b3o22b6o17b2o\$b2o9bo2bo21bo2bo2bo
17b2o\$obo4b2o4b2o22b2o\$2bo3bobo\$8bo23b2o\$31bobo\$17b2o14bo12bo\$17bobo
15b3o7b2o\$17bo17bo9bobo\$36bo!
``````
EDIT 2: #146 from a 16-bit pseudo:

Code: Select all

``````x = 130, y = 44, rule = B3/S23
52bo56bobo\$53bo55b2o\$51b3o56bo2\$30bo30bo\$30bobo23bo5bo\$30b2o25bo2b3o
24bo\$50bo4b3o28bo\$27bo23bo11bobo20b3o\$11bo16b2o3bobo13b3o11b2o\$9b2o16b
2o4b2o29bo\$10b2o22bo2\$bo23bo29bo4bo31b2o\$obo8bo12bobo2b2o23bobo2bobo
25bo2bo2bo29bo2bo\$b2o9b2o11b2o2b2o24b2o2b2o26b6o30b6o\$11b2o34b2o80bo\$b
2o2b2o8bobo7b2o2b2o15bobo6b2o2b2o26b2o2b2o30b2o2b2o\$bo2bo2bo7b2o8bo2bo
2bo16bo6bo2bo2bo25bo2bo2bo29bo2bo\$2b2o2b2o8bo9b2o2b2o24b2o2b2o26b2o2b
2o31b2o\$70bobo\$70b2o\$71bo\$9b2o\$8bobo61b2o\$10bo62b2o31b3o\$17b2o53bo33bo
\$17bobo87bo\$17bo3\$107b2o\$82b2o23bobo\$81bobo23bo\$83bo3\$77bo\$77b2o\$76bob
o2\$98bo4b3o\$97b2o4bo\$97bobo4bo!
``````
EDIT 3: #195 can be solved much the same way as one of the 16-bitters:

Code: Select all

``````x = 42, y = 41, rule = B3/S23
13bo\$11bobo\$12b2o17bobo\$7bobo21b2o\$8b2o22bo\$8bo9\$b2o2b2o30bo\$2b2obobo
27b2o\$bo3bo30b2o2\$19bo\$18bobo\$17bo2bo\$17bobob2o\$18b2obobo\$22bo2\$16b2o\$
15bo2bo\$15bo2bo\$16b2o8\$39b3o\$31b3o5bo\$bo29bo8bo\$b2o29bo\$obo!
``````
I Like My Heisenburps! (and others)

Sokwe
Moderator
Posts: 1674
Joined: July 9th, 2009, 2:44 pm

### Re: 17-bit SL Syntheses

#270, #271, and #274:

Code: Select all

``````x = 23, y = 81, rule = B3/S23
10bo\$11b2o\$10b2o2\$15bo\$13bobo4bo\$14b2o2b2o\$19b2o2\$6bo\$4bobo\$5b2o\$15bo\$
13b3o2b2o\$12bo6bo\$b2o9b2o3bo\$obo13bob4o\$2bo14bo4bo\$6b2o11b3o\$5bobo10b
2o\$7bo10\$10bo\$11b2o\$10b2o2\$15bo\$13bobo4bo\$14b2o2b2o\$19b2o2\$6bo\$4bobo\$
5b2o\$15bo\$13b3o2b2o\$12bo6bo\$b2o9b2o3bo4bo\$obo13bob5o\$2bo14bo\$6b2o10bob
o\$5bobo11b2o\$7bo10\$10bo\$11b2o\$10b2o2\$15bo\$13bobo4bo\$14b2o2b2o\$19b2o2\$
6bo\$4bobo\$5b2o\$15bo\$13b3o2b2o\$12bo6bo\$b2o9b2o3bo2b2o\$obo13bob2o2bo\$2bo
14bo2b2o\$6b2o11bo\$5bobo10b2o\$7bo!``````
-Matthias Merzenich

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

Some progress on synthesizing eaters when their tails are used as one-bit induction coils:

Code: Select all

``````x = 330, y = 40, rule = B3/S23
168bobo\$168b2o\$169bo5\$131bo28bo55bo36bo\$129b2o27bobo56b2o32b2o\$130b2o
27b2o55b2o34b2o2\$159bo\$127bo19bobo9b2o\$125b2o21b2o8bobo\$79bo46b2o20bo
71bo\$79bobo37bo101b2o\$79b2o38bobo98b2o\$bo117b2o5bo114bobo\$2bo73bo22bo
5bobo18bobo3bo2bo106b2o\$3o49bo24b2o3bobo15bo5b2o18b2o3bo83bobo24bo\$50b
2o24b2o4b2o14b3o5bo24bo3bo80b2o\$51b2o30bo47b4o81bo23b2o38bo\$39b2o30b2o
28b3o10b2o49bo73b2o38bo28bo\$5bo10b2o20bobo29bobo30bo9bobo6bo41bobo74bo
37b3o26bobo\$6bo9bo2bo18bo4bo8bo17bo4bo2b2o22bo10bo4bo2bobo41bo2bo24bo
2bo30bo2bo77b2o\$4b3o10b3o19b5o9b2o16b5o2b2o34b5o2b2o43b3o24b4o30b4o\$
52b2o205b2o39b2o4b2o15b2o\$b3o5bo7b3o2b2o17b3o2b2o8bobo14b3o2b2o36b3o2b
2o45b3o2b2o18b2ob3o2b2o24b2ob3o2b2o22bo4b2o10bo23bo5bobo14bo\$3bo5b2o6b
o2bo2bo17bo2bo2bo8b2o15bo2bo2bo17b3o16bo2bo2bo45bo2bo2bo17bobobo2bo2bo
23bobobo2bo2bo23b3o2bo9bo25b3o4bo15b3o\$2bo5bobo9b3o21b3o10bo18b3o20bo
19b3o49b3o13bo5bo5b3o24b2o5b3o26b3o10b3o25b5o18bo\$98bo89b2o\$18b5o19b5o
27b5o38b5o47b5o13b2o8b5o29b5o24b5o7bo5b3o20b5o18b5o\$17bo2bo2bo17bo2bo
2bo25bo2bo2bo36bo2bo2bo45bo2bo2bo21bo2bo2bo27bo2bo2bo22bo2bo2bo5b2o5bo
21bo2bo2bo16bo2bo2bo\$17b2o3b2o17b2o3b2o25b2o3b2o36b2o3b2o45b2o3b2o14bo
6b2o3b2o27b2o3b2o22b2o3b2o5bobo5bo20b2o3b2o16b2o3b2o\$55b3o131b2o\$55bo
132bobo\$56bo99bo\$156b2o59bo\$155bobo59b2o\$216bobo!
``````
I Like My Heisenburps! (and others)

Sokwe
Moderator
Posts: 1674
Joined: July 9th, 2009, 2:44 pm

### Re: 17-bit SL Syntheses

#116 from 27 gliders (the first large still life synthesis is a modification of a synthesis by Dean Hickerson):

Code: Select all

``````x = 227, y = 31, rule = B3/S23
179bobo\$180b2o\$180bo\$217bo\$216bo\$216b3o\$4bo\$5bo19bo\$3b3o18bobo164bo26b
2o\$24bobo165b2obo23bo\$3o22bo34b2ob2o35b2ob2o25b2ob2o5bo3bo35b2ob2o6b2o
2bobo12b2ob2o3bo\$2bo29bobo26bobobo26bo8bobobo25bobobo5b2obobo34bobobob
2o6b2o14bobobobo\$bo30b2o27bo3bo25bo9bo3bo25bo3bo4b2o2b2o35bo3bob2o22bo
3b2o\$33bo28b3o19b2o5b3o8b3o27b3o47b3o27b3o4bo\$83bobo128bo4b2o3bo\$29b3o
12b3o15b3o20bo16b3o25b5o45b5o33bobo3bobo\$31bo2b3o7bo17bo2bo26b3o6bo2bo
24bo4bo44bo4bo39b2o\$24bo5bo3bo10bo18b2o26bo8b2o26bobo47bobo\$22bobo10bo
57bo36b2o48b2o\$23b2o2\$20b2o\$19bobo\$21bo42b2o\$44b3o16bobo2b2o\$44bo20bo
2bobo\$45bo22bo91b3o9b2o\$160bo12b2o\$38bo6bo18bo96bo10bo\$37b2o5b2o17b2o\$
37bobo4bobo16bobo!``````
Edit: #372:

Code: Select all

``````x = 22, y = 18, rule = B3/S23
12b2o\$12bobo4bo\$3bo10bo2b3o\$4b2o8bobo\$3b2o10bobo\$16bo\$7b3o\$2o7bo\$b2o5b
o\$o14b2o\$14bobo\$16bo2b2o\$19bobo\$19bo2\$14b2o\$13bobo\$15bo!``````
The 18-bit loaf version of #372 is similarly easy:

Code: Select all

``````x = 22, y = 20, rule = B3/S23
12b2o\$12bobo4bo\$3bo10bo2b3o\$4b2o8bobo\$3b2o10bobo\$16b2o\$7b3o\$2o7bo\$b2o
5bo\$o\$18b2o\$17b2o\$19bo2\$15b2o\$14bobo\$16bo\$19b2o\$19bobo\$19bo!``````
Edit 2: #367

Code: Select all

``````x = 57, y = 60, rule = B3/S23
13bo\$14bo\$12b3o31bo\$8bo35b2o\$9b2o34b2o\$2bo5b2o\$obo\$b2o8\$52bo\$51bo\$51b
3o8\$26bo\$21bo3bobo\$20bobo2bo2bo\$21bo4b2obob2o\$9bo3b2o14bobo\$9b2o2bobo
13bo2bo\$8bobo2bo16b2o16\$3bo6bo\$3b2o5b2o20b3o\$2bobo4bobo20bo\$33bo15b2o
4b2o\$48b2o4b2o\$35b2o13bo5bo\$35bobo\$35bo3\$49b2o\$48b2o\$50bo!``````
Edit 3: #176 from a previously solved 17-cell still life:

Code: Select all

``````x = 20, y = 27, rule = B3/S23
12bo\$13b2o\$12b2o3bo\$9bo7bobo\$7bobo7b2o\$obo5b2o\$b2o\$bo4\$12bo\$7bo3bobo\$
6bobo2bo2bobo\$6bobo3b2ob2o\$7bo5bo\$12bo2b2o\$13b2obo4\$2b3o\$4bo\$3bo\$11b3o
\$11bo\$12bo!``````
-Matthias Merzenich

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

#299 from a trivial 17-bitter:

Code: Select all

``````x = 44, y = 28, rule = B3/S23
12bo\$13b2o\$12b2o9\$8bo4bo24bobo\$9bob2o25b2o\$7b3o2b2o25bo4\$23bo\$22bobo\$
23bobo\$25bo2b2o\$2o22b2obobo\$b2o22bobo\$o24bobo\$26bo\$42bo\$41b2o\$41bobo!
``````
EDIT: #395 from a trivial 18-bitter:

Code: Select all

``````x = 29, y = 31, rule = B3/S23
13b2o\$12b2o\$8bobo3bo9bo\$9b2o11b2o\$9bo13b2o3\$6bobo\$7b2o\$7bo3\$obo\$b2o14b
2o\$bo14bo2bo\$17b3o\$26b3o\$17b3o6bo\$17bo2bo6bo\$20b3o\$23bo\$22b2o2\$4bo\$4b
2o11b3o\$3bobo11bo\$18bo2\$21bo\$20b2o\$20bobo!
``````
EDIT 2: Trivial predecessor to #397 from a 14-bitter:

Code: Select all

``````x = 20, y = 22, rule = B3/S23
9bo\$obo6bobo\$b2o6b2o\$bo17bo\$5bo11b2o\$6bo11b2o\$4b3o4\$12bo\$11bobo\$11bo2b
o\$12b3o\$15b2o\$14bo2bo\$9b2o4b2o\$2o6b2o\$b2o7bo\$o3b3o\$4bo\$5bo!
``````
EDIT 3: #326 from a 15-bitter:

Code: Select all

``````x = 26, y = 23, rule = B3/S23
17bo\$15b2o\$16b2o3\$3bo\$bobo7bo\$2b2o6bobo2b2o\$10bobo2bobo2bo\$11bo4bo3bob
o\$6bo13b2o\$5bobo5bo9b2o\$5bo2bo2b3o2bo6bobo\$6b2o2bo3b3o6bo\$11bobo\$10b2o
b2o2\$7b2o\$6b2o\$8bo\$3o\$2bo\$bo!
``````
EDIT 4: #182 from a 16-bitter:

Code: Select all

``````x = 60, y = 23, rule = B3/S23
43bo\$42bo\$42b3o4\$2ob2o24b2ob2o19b2ob2o\$ob2o2bo22bob2o2bo17bob2o\$5b2o
27b2o4b2o16bo\$b4o25b4o5b2o13b4obo\$bo2bo6bo18bo2bo7bo12bo2bobo\$10bo47bo
\$10b3o\$33b2o2b2o2b3o\$4b3o26b2o2bobobo\$4bo8bobo22bo3bo\$5bo7b2o\$b3o10bo
13b3o\$3bo26bo\$2bo12b3o11bo\$15bo22b3o\$16bo21bo\$39bo!
``````
EDIT 5: #343 can be solved in a similar way to #326:

Code: Select all

``````x = 17, y = 19, rule = B3/S23
13bobo\$13b2o\$14bo2\$3bo6bo4bo\$4bo4bobo2b2o\$2b3o4bobo2bobo\$10bo\$5bo\$4bob
o5bo\$4bo2bo2b3o\$5b2o2bo3b2o\$10bobo2bo\$5bo3b2obobo\$4b2o7bo\$4bobo\$b2o\$ob
o\$2bo!
``````
I Like My Heisenburps! (and others)

mniemiec
Posts: 1180
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Unfortunately, I had very little opportunity to play with Life this week. I've still only assimilated of about 1/3 of the syntheses from last week (but hope to catch up over the weekend).
Sokwe wrote:Another one down:
(#179) Trivial, yet I hadn't thought of using the less-obtrusive spark. I have added this to the expert system's repertoire, where it has removed about .3% of remaining objects. Very nice!
Sokwe wrote:Group 2:
(#226; top 2 rows): You used a 3-glider bun-to-bookend converter. I'm surprised you didn't use Dave Buckingham's 2-glider one, that has been known for ages: (I've also seen other recent posts that could have used this. Is it possible that people don't know about it?):

Code: Select all

``````x = 68, y = 12, rule = B3/S23
14bo\$13bo33bo\$13b3o29bobo\$46boobbo\$49bo\$11b3o35b3o\$obooboo4bo8bobooboo
13bobooboo13bobooboo\$oobobobo4bo7boobobo14boobobobo12boobobo\$5bobo17bo
bo17bobo17bobo\$4bobo8b3o6boboo16bobo17boboo\$4bo10bo8bo19bo19bo\$3boo11b
o6boo18boo18boo!
``````
Sokwe wrote:Group 3:
(#306,#313): This method (claw to mango to feather) solves around .2% of larger still-lifes.

To put this in perspective, to reduce the total number of unknown larger still-life (and similar) syntheses in half would require around 138 methods of .5% efficiency, 172 of .4% efficiency, 230 of .3% efficiency, or 346 of .2% efficiency. Considering how fast new methods are being developed, these are fairly manageable numbers.
Extrementhusiast wrote:Predecessors for two G1s and a G2:
I'm not sure what the bottom one is a predecessor of. However, I had this still-life listed as 69 gliders, and this brings it down to 37. Much better!
Extrementhusiast wrote:Another G1 down:
(#221). This method also solves around .06% of larger still-lifes.
Extrementhusiast wrote:#146 from a 16-bit pseudo:
This can be reduced by one glider, as the "swing-around block" can be added with 4 rather than 5. This is one particular geometry I spent much time on, as it was necessary for (as of around 1998) the only only unbuildable 15-bit pseudo-still-life - block on head of cis-shillelagh. Two more can be saved by using a "swing-around boat bit" directly, skipping the block. Also, the boats can be added in either order - the first one with 3 gliders, and the second with 5.

Code: Select all

``````x = 68, y = 20, rule = B3/S23
42bo\$43boo\$42boo\$10bo39bo\$9bo39bo\$9b3o37b3o\$\$bo19bo19bo19bo4bo\$obo9bo
7bobobboo13bobo9bo7bobobbobo\$boo10bo7boobboo14boo10bo7boobboo\$11b3o37b
3o\$boobboo8bo5boobboo14boobboo8bo5boobboo\$bobbobbo7bobo3bobbobbo13bobb
obbo7bobo3bobbobbo\$bboobboo7boo5boobboo14boobboo7boo5boobboo4\$15bo39bo
\$14boo38boo\$14bobo37bobo!
``````

Sokwe
Moderator
Posts: 1674
Joined: July 9th, 2009, 2:44 pm

### Re: 17-bit SL Syntheses

mniemiec wrote:I'm surprised you didn't use Dave Buckingham's 2-glider one.... Is it possible that people don't know about it?
Yes, it is possible.
mniemiec wrote:(#306,#313): This method (claw to mango to feather) solves around .2% of larger still-lifes...
This technique was found by Extrementhusiast when solving the 16-bit still lifes.

#347 and #360

Code: Select all

``````x = 79, y = 42, rule = B3/S23
15bo21b3o\$15bobo21bo2bo\$15b2o21bo2bo\$24bobo14b3o\$4bo9bo9b2o\$5bo6bobo
10bo37b2o\$3b3o7b2o28bo20bo\$8bo33bobob2obo14bob2obo\$8b2o18bo14b2obob2o
13b2obob2o\$3o4bobo12bo4b2o\$2bo10b2o6b2o4bobo13b3o13bo3b3o\$bo10bo2bo5bo
bo18bo2bo14bobo2bo\$13b2o28b2o13b3o2b2o18\$55bo14bo\$56b2o10b2o5bo2bo\$55b
2o12b2o3bo\$74bo3bo\$74b4o\$57b2o4b2o\$51b2o5b2o4bo\$52b2o3bo6bob2obo\$51bo
11b2obob2o6b2o\$62bo13bobo\$63b3o10bo\$65bo!``````
Edit: #133:

Code: Select all

``````x = 237, y = 46, rule = B3/S23
74bo\$74bobo120bo\$74b2o121bobo\$197b2o3\$174bo19bobo\$28bo143bobo19b2o\$29b
2o142b2o20bo\$28b2o7bo20bo2bobo\$35b2o19bobo2b2o\$32bo3b2o19b2o3bo\$3bobo
27b2o\$3b2o27b2o\$4bo2\$5b2o\$2o2bo2bo22b2o27b2o29bo2bo26bo2bo26bo2bo36bo
2bo36bo2bo\$2o2bo2bo3bo18bo2bo25bo3bo26b4o26b4o26b4o36b4o36b4o\$5b2o2b2o
20b3o26b4o30b2o28b2o28b2o38b2o38b2o\$10b2o22b2o28b2o24b3obo25b3obo25b3o
bo35b3obobo32bob2obobo\$b2o28b2obo25b3obo24bo2bobobo22bo2bobobo22bo2bob
obo4bo27bo2bobobo6bo25b2obobobo\$obo2b2o18bo4bobobobo22bo2bobobo17b3o2b
obo3b2o22b2o4b2o23b2o3b2o4bobo26b2o3bo5b2o32bo\$bo3b2o16bobo5bo3b2o22bo
bo3b2o19bo3bo70b2o39b2o2b2o\$24b2o34bo24bo29b2o89bobo\$90b2o22bobo41b3o
9b2o34bo27b3o\$29b2o59bobo23bo41bo10bobo64bo\$29bobo58bo27b3o38bo11bo63b
o\$29bo88bo\$119bo70bo\$176b2o11bo15b3o\$175bobo11b3o13bo\$177bo28bo3\$178b
2o19b3o\$177bobo19bo\$179bo20bo\$206b2o\$206bobo\$186b2o18bo\$185bobo\$187bo\$
203b2o\$203bobo\$203bo!``````
Here's an unimportant converter found while trying to solve this still life:

Code: Select all

``````x = 12, y = 13, rule = B3/S23
3bo\$2bobo\$3b2o\$5b2o\$b3obobo\$o2bobobo\$obo3bo\$bo\$9bobo\$9b2o\$b2o2b2o3bo\$o
bob2o\$2bo3bo!``````
Edit 2: #109 and #320

Code: Select all

``````x = 286, y = 92, rule = B3/S23
203bo\$203bobo\$203b2o\$187bo\$185bobo\$186b2o18bo\$206bobo\$206b2o\$179bo20bo
\$177bobo19bo\$178b2o19b3o3\$177bo28bo\$175bobo11b3o13bo\$176b2o11bo15b3o\$
119bo70bo86bo\$118bo159bo\$29bo60bo27b3o38bo11bo104b3o\$29bobo58bobo23bo
41bo10bobo108bo\$29b2o59b2o22bobo41b3o9b2o34bo73bobo\$85bo29b2o89bobo71b
2o\$24b2o34bo25bo3bo70b2o39b2o2b2o36bobo\$bo3b2o16bobo5bo3b2o22bobo3b2o
17b3o2bobo3b2o22b2o4b2o23b2o3b2o4bobo26b2o3bo5b2o32bo8b2o29b2o\$obo2b2o
18bo4bobobobo22bo2bobobo22bo2bobobo22bo2bobobo22bo2bobobo4bo27bo2bobob
o6bo25b2obobobo8bo23b2obobobo\$b2o28b2obo25b3obo25b3obo25b3obo25b3obo
35b3obobo32bob2obobo32bob2obo\$10b2o22b2o28b2o28b2o28b2o28b2o38b2o38b2o
4bobo31b2o\$5b2o2b2o20b3o26b4o26b4o26b4o26b4o36b4o36b4o6b2o28b4o10bo\$2o
2bo2bo3bo18bo2bo25bo3bo26bo2bo26bo2bo26bo2bo36bo2bo36bo2bo7bo28bo2bo9b
o\$2o2bo2bo22b2o27b2o182bo39b3o\$5b2o235b2o\$242bobo\$4bo268b2o\$3b2o27b2o
240b2o\$3bobo27b2o238bo\$32bo3b2o19b2o3bo\$35b2o19bobo2b2o\$28b2o7bo20bo2b
obo109b2o20bo\$29b2o141bobo19b2o\$28bo145bo19bobo3\$197b2o\$197bobo\$74b2o
121bo\$74bobo\$74bo19\$138bo\$138bobo\$25bo112b2o\$26b2o5bo36bo61bobo\$25b2o
7bo35bobo60b2o\$32b3o35b2o61bo\$65bo\$66bo3bo\$2o3b2o33b2o3b2o17b3o2bobo3b
2o22b2o4b2o22b2o4b2o\$obo2b2o21b2o10bobobobo22bo2bobobo22bo2bobobo22bo
2bobobo\$b2o26b2o10b2obo25b3obo25b3obo25b3obo\$10b2o16bo15b2o28b2o28b2o
28b2o\$5b2o2b2o30b3o28b2o28b2o28b2o\$2o2bo2bo3bo28bo2bo4bo22bobo27bobo
27bobo\$2o2bo2bo27bo4b2o4b2o23b2o28b2o8bo20bo\$5b2o26bobo11b2o62bobo\$34b
2o75b2o\$4bo\$3b2o31b3o69b3o\$3bobo32bo69bo\$37bo71bo\$46bo\$45b2o58b3o\$45bo
bo57bo\$92bo13bo\$92b2o\$91bobo!``````
-Matthias Merzenich

dvgrn
Moderator
Posts: 7179
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:Current unsynthesized 17-bitters... I will hopefully try to keep this up-to-date.
Another handy piece of information to keep in the top message might be the number of still lifes left, as of the last edit. Maybe the date of the last edit, too, though that does show up at the bottom of the post -- no point in making the update too much of a chore I guess.

As of the January 11th, 2014, 3:36 pm update, there were 207 17-bitters left, and since then it's down at least to 202. Just for the record, for any given index pattern the number will be the integer part of (pop/17)-150 [i.e., there are 2559 cells in the index numbers]...

I've been experimenting this morning with variant Life rules that might make it easier for a beginner like me to learn the various synthesis tools. Attached is an archive file compatible with Golly 2.5+, containing a rule file and a couple of trial patterns. The sample #372 synthesis is nice and clean, I think.

The pattern for #247 is definitely a bit over the top -- too busy, too many colors -- but it shows several different ways that the extra states can be used to help clarify how a synthesis works.

I am definitely not recommending that people start posting syntheses using this rule, or anything like that! But I'd be interested to hear any ideas for making this kind of colorized Life rule more useful. For example, it would be easy to write up Golly Python scripts to convert between standard Life and a colorized rule. I have a similar set of scripts assigned to keyboard shortcuts to deal with LifeHistory patterns.
Attachments
syntheses-with-Marked4Life-rule.zip
Life rule with four ON colors and corresponding history states

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

dvgrn wrote:I've been experimenting this morning with variant Life rules that might make it easier for a beginner like me to learn the various synthesis tools. Attached is an archive file compatible with Golly 2.5+, containing a rule file and a couple of trial patterns. The sample #372 synthesis is nice and clean, I think.
I remember making a Life variant with seven different colors, with one of those being the "default" color. There wasn't any history, though, as it can get a bit annoying to clean up sometimes.

EDIT: #298 from an 18-bitter:

Code: Select all

``````x = 113, y = 26, rule = B3/S23
78bo\$77bo\$77b3o9bo\$75bo12bo\$53bo19bobo12b3o\$3o48bobo20b2o\$2bo2bo46b2o\$
bo2bo85bo\$4b3o47bo34bo\$49bo3bo35b3o\$9b2o7bobo17b2ob2o7b2ob3o18b2ob2o5b
2o20b2o\$6bo2bo8b2o19bobo7b2o24bobo6bobo20bo\$5bobobo9bo19bobobo31bobobo
5b2o20bob2o\$6b2o2b2o26b2o2bobo29b2o2bobo25b2o2bo\$8bobobo8bo18bobobo31b
obobo27bobobo\$8bo2bo9bobo16bo2bo32bo2bo11bo16bo2b2o\$7b2o12b2o16b2o34b
2o13b2o15b2o\$90bobo\$20bo\$19b2o\$19bobo57b2o\$80b2o8b2o\$79bo9b2o\$83b3o5bo
\$85bo\$84bo!
``````
Not sure if it's been synthesized yet, so I'm leaving it in the collection for now.
Last edited by Extrementhusiast on January 12th, 2014, 3:04 pm, edited 1 time in total.
I Like My Heisenburps! (and others)

dvgrn
Moderator
Posts: 7179
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:I remember making a Life variant with seven different colors, with one of those being the "default" color. There wasn't any history, though, as it can get a bit annoying to clean up sometimes.
Yes, I always write a "reset" script right away for any rule with history, to dodge the cleanup problem.

A likely modification of this Marked4Life rule would be to keep all the matching-colored OFF states, but just have dead cells go to OFF by default. That way you could still mark key spark locations without having to do any history-cell cleanup while editing.

I originally built this rule as an experiment with having cells remember their color even when they're off. A sufficiently determined patch of a different color can come in and reset that memory, but as a general rule good-sized patches tend to stay the same color for longer than in other colorized rules.*

The cell-history behavior probably isn't too useful if the purpose is just to record glider syntheses. Maybe it would make sense to retain the colored OFF cells and add marked cells for each color, along the lines of states 3 and 4 in LifeHistory? There could be rules for persisting these extra states; for example, it would be possible to include marked-OFF-cell annotations at various places, or even color-coded labels, which would persist without damaging anything even if a glider had to pass through that space.

On the other hand, anything that's really only useful as a marker at T=0 could just as well get forgotten when the pattern is run, along the lines of state 5 in LifeHistory except it might always disappear at T=1. Or we could reserve states 0 and 1 for "runnable" patterns, and the colored states would all be higher numbers that would always reduce to 0 and 1 after one tick. So if you want to copy a colorized Life pattern, you copy it at T=0. Run it one tick and it will automatically convert to a standard two-state form, without any of the objects moving yet, and that T=1 version could be easily copied or switched into a standard B3/S23 rule.

-----------------------

* It's fun to watch what happens to a big four-color scribble in this rule. Golly's randfill function doesn't work too well with this version of the rule, unfortunately, because the area gets littered with state-9 boundary cells, which tend to kill everything.

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

This fully synthesizes #298:

Code: Select all

``````x = 177, y = 31, rule = B3/S23
43bo\$44b2o\$43b2o97bo\$35bo105bo\$36bo104b3o9bo\$11bobo20b3o102bo12bo\$12b
2o103bo19bobo12b3o\$12bo51b3o48bobo20b2o\$66bo2bo46b2o\$65bo2bo85bo\$68b3o
47bo34bo\$18bo94bo3bo35b3o\$9bo7bo25bo29b2o7bobo17b2ob2o7b2ob3o18b2ob2o
5b2o20b2o\$8bobo6b3o13bo8bobo25bo2bo8b2o19bobo7b2o24bobo6bobo20bo\$2bo5b
obo20bobo8bobo6b2o16bobobo9bo19bobobo31bobobo5b2o20bob2o\$obo4b2o2b2o7b
2o10b2o7b2o2b2o4bobo16b2o2b2o26b2o2bobo29b2o2bobo25b2o2bo\$b2o6bobo8bob
o20bobobo3bo20bobobo8bo18bobobo31bobobo27bobobo\$9bobo8bo13b3o6bo2bo25b
o2bo9bobo16bo2bo32bo2bo11bo16bo2b2o\$10bo25bo5b2o27b2o12b2o16b2o34b2o
13b2o15b2o\$35bo118bobo\$84bo\$83b2o\$83bobo57b2o\$41bo102b2o8b2o\$40b2o101b
o9b2o\$17b3o20bobo104b3o5bo\$17bo131bo\$18bo129bo\$9b2o\$8b2o\$10bo!
``````
EDIT: #192 from a 15-bitter:

Code: Select all

``````x = 74, y = 26, rule = B3/S23
41bo\$41bobo\$28bo12b2o\$26bobo\$27b2o8bo\$37bobo\$37b2o2\$49bobo\$49b2o\$12bob
o35bo\$12b2o\$13bo\$b2o8bo24b2o3bo8b2o16b2o\$o2bob2o3b2o5bo17bo2bobobo8b2o
13bo2bo2bo\$2obobo4bobo3b2o17b2obobobo7bo15b2obobobo\$2bo2bo10bobo18bo2b
2o26bo2b2o\$2bobo32bobo28bobo\$3bo34b2o29b2o2\$10bo36b2o\$9b2o36bobo\$4b2o
3bobo35bo\$5b2o36b3o\$4bo40bo\$44bo!
``````
I Like My Heisenburps! (and others)

mniemiec
Posts: 1180
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:Modifying the construction of one of the 16-bitters solves a G3:
This leaves a spurious boat and block. These can both be eliminated by adding one glider early on:

Code: Select all

``````x = 55, y = 49, rule = B3/S23
3bo\$4boo\$3boo3\$21bo\$19boo\$20boo3\$31bo\$30bo\$30b3o\$\$37bo\$35boo\$36boo4\$6b
oo38boo\$6bobo37bobo\$9bo39bo3bo\$10bo10boo27bobobo\$7b3o3bo7bobo23b3o3bo\$
7bobb4o7bo25bobb3o\$10bo39bo\$11bo\$10boo7\$32boo\$31boo\$33bo\$\$19bo\$18boo\$
oo12bo3bobo\$boo12boo\$o13boo3\$bboo\$bobo\$3bo!
``````
Extrementhusiast wrote:Full synthesis of a G2:
(#277 from 28 gliders). The big problem with this object is that it is almost identical to the 16-bit butterfly-on-cover, but has one annoying extra bit at the back that cannot easily be added after the fact. However, with some slight re-adjustment, it CAN be added during the synthesis, reducing this to 14 gliders. Curiously, the bit can be added in two different generations:

Code: Select all

``````x = 146, y = 29, rule = B3/S23
26bo60bo40bo\$27bo59bobo36boo\$25b3o44bo4bobo7boo23bo4bobo7boo\$73bo4boo
33bo4boo\$71b3o4bo5bo26b3o4bo6bo\$85boo3bobo33bo3bo\$84boo4boo32b3o3bobo\$
59boo18boo10bo27boo9boo\$37bo22bo13boo4bo21boo10boo4bo21boo\$22boo14boo
bboo16boboo9bobo4boboo18bobo8bobo4boboo18bobo\$bobo17bobbo12boobbobbo
14boobobo10bo3boobobo14boobobbo9bo3boobobo14boobobbo\$bboo17bobbo16bobb
o15bobboo15bobboo7bo7bobb3o14bobboo7bo7bobb3o\$bbo19boo18boo16bo19bo9b
oo8bo19bo9boo8bo\$61b6o14b6o4boo8b3o17b6o4boo8b3o\$boo41bo18bobbo16bobbo
16bo19bobbo16bo\$obo40boo45bo39bo\$bbo40bobo43boo38boo\$89bobo37bobo9\$51b
oo\$51bobo\$51bo!
``````
Sokwe wrote:19+20+21: Using Dave's numbering: 261, 262, and 275:
#275 is a fair bit cheaper, as the starting 16-bit still-life (block on table siamese hook-w/tail) is itself built from the 17-bit one with boat, and then reduced - so both the 2-glider boat-to-block reduction, and the 6-glider block-to-boat inflation cancel each other out:

(Oops! I forgot to paste the pattern. I'll have to get it from my home computer again).
Extrementhusiast wrote:A completely different way to make 13.205:
This is good. Even though it's 1 glider more expensive than the best way, this makes it from a corner tub - which makes it potentially useful for growing this from a larger object (e.g. tub w/tail). In my synthesis database, I'm trying to make as many objects as possible have alternate syntheses that start from an existing piece on an edge or corner.
dvgrn wrote:To solve #147 it's just necessary to construct the following, or hopefully some later version of it -- there's a loaf/pond+mess bottleneck around T=90 -- from Lewis's soup search results:
Here's the full synthesis of #147 from 17 gliders. It's likely that the cleanup could be optimized by doing more of it during the synthesis:

Code: Select all

``````x = 193, y = 68, rule = B3/S23
49bo\$50boo\$49boo4\$178b3o\$159bo\$157bobo16bo5bo\$154boobboo16bo5bo\$153bob
o20bo5bo\$155bo\$178b3o\$118bobo3bo\$119booboo19bo19bo19bo\$119bo3boo17bobo
17bobo17bobo\$141bobo17bobo17bobo\$120boo19boo18boo18boo\$120bobo\$120bo5\$
bo\$bbo\$3o4\$60boo\$60bobo\$60bo\$56b3o\$58bo\$57bo\$139bobo\$49bo32b3o47b3o4b
oo\$50boo6boo80bo\$49boo6boo\$59bo29boo48boo\$89boo48boo16bo\$40bo115bo\$41b
oo113b3o\$40boo\$51bo52boo10boo36boo10boo\$39bo11boo51boo9bobbo35boo9bobb
o\$39boo9bobo63boo48boo\$38bobo128b3o\$169bo\$170bo5\$97boo48boo38boo\$48b3o
47bo49bo39bo\$98boboo46boboo36boboo\$46bo5bo44boobobo44boobobo34boobobo\$
46bo5bo44bo4bo44bo4bo34bo4bo\$46bo5bo46b3o47b3o37b3o\$98boo48boo38boo\$
48b3o\$\$53bo\$52bobo\$51bobo\$51boo!
``````

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

#312 from a 15-bitter via a variation of a known converter:

Code: Select all

``````x = 30, y = 36, rule = B3/S23
5bo\$4bo\$o3b3o\$b2o7bo\$2o6b2o\$9b2o5\$3b2o13b2o\$3bobo11b2ob2o\$5bo2bo9b4o\$
4b2obobo9b2o\$6bo2bo\$6bobo\$7bo3\$6b3o2\$12bo5bo\$11b3o3b2o\$11bob2o2bobo\$
12b3o\$12b3o\$12b3o\$12b2o\$18b2o\$17b2o\$19bo3\$27b3o\$27bo\$28bo!
``````
EDIT: #280 from a 14-bitter:

Code: Select all

``````x = 15, y = 20, rule = B3/S23
6bo\$7b2o3b3o\$bo4b2o4bo\$b3o9bo\$4bo\$ob2obo\$2obobo\$4bo4\$2b3o4b3o\$4bo4bo\$
3bo6bo2\$3b3o\$2bo2bo\$5bo\$5bo\$2bobo!
``````
I Like My Heisenburps! (and others)

mniemiec
Posts: 1180
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:Even longer starting SL in 53 gliders:
(posted Nov. 30). You used a 5 glider finger spark (from half of a pulsar) to turn a bookend into a long curl. The usual way of doing this is using a 3-glider single finger spark:

Code: Select all

``````x = 109, y = 33, rule = B3/S23
40bobo\$bbo37boo10bo\$obo38bo10bobo\$boo49boo\$\$29bo\$28bo54bo\$28b3o51bo\$
82b3o\$\$29boo\$28boo\$30bo\$\$81boo\$80bobobboo\$82bobbobo\$85bo5\$65boo38boo\$
64bobbo36bobbo\$20boo3boo33boobboboo12boo3boo13boobboboo\$20bobobobo33bo
bobo15bobobobo13bobobo\$22bobo37bobo17bobo17bobo\$21booboo35booboo15boob
oo15booboo\$21bobbo36bobbo16bobbo16bobbo\$23bobbo36bobbo16bobbo16bobbo\$
24boobo36boobo16boobo16boobo\$27bo39bo19bo19bo\$27boo38boo18boo18boo!
``````
Last summer, I found a converter that can peel the side of a closed piece and attach a tail. This can build the above object a totally different way, reducing it from 51 to 27 gliders:

Code: Select all

``````x = 150, y = 54, rule = B3/S23
86bo\$84boo51bo\$85boo49bo\$6bo129b3o\$4bobo73bo15bo\$5boo42bo31boo12bo18b
oo18boo\$47bobo30boo3bo4bobobb3o16boo18boo\$10bobo35boo33boo5boo\$10boo
42bo29boo5bo3bo\$bbo8bo40boo40boo\$obo50boo39bobo\$boo53boo11bo19bo14boo
18boo18boo\$11bo12bo3boo14bo3boo6bobo5bo3bobo13bo3bobo12bobbo16bobbo16b
obbo\$10bo12bobobobo13bobobobo6bo6bobobobo13bobobobo13bobobbo14bobobbo
14bobobbo\$10b3o11boobo16boobo16boobo16boobo16booboo15booboo15booboo\$
14b3o10bo19bo19bo19bo19bo19bo19bo\$6bo7bo12bobo17bobo17bobo17bobo17bobo
17bobo17bobo\$5boo8bo12boo18boo18boo18boo18boo18boo18boo\$5bobo11\$79bobo
\$79boo\$80bo\$74bo\$72bobo10bo\$73boo8boo\$84boo\$\$76bo\$74bobo\$75boo24boo18b
oo18boo\$65boo35bo19bo19bo\$63bo4bo15boo16boboo16boboo16boboo\$69bo13bobb
o16bobbo16bobbo16bobbo\$63bo5bo13bobobbo16bobbo16bobbo16bobbo\$64b6o6boo
6booboo15booboo15booboo15booboo\$75bobo9bo19bo19bo19bo\$77bo9bobo17bobo
17bobo17bobo\$79b3o6boo18boo18boo18boo\$79bo24boo18boo\$80bo23boo18boo\$\$
87boo33boo\$87bobo31bobo\$87bo35bo!
``````
Sokwe wrote:19+20+21: Using Dave's numbering: 261, 262, and 275:
mniemiec wrote:#275 is a fair bit cheaper, as the starting 16-bit still-life (block on table siamese hook-w/tail) is itself built from the 17-bit one with boat, and then reduced - so both the 2-glider boat-to-block reduction, and the 6-glider block-to-boat inflation cancel each other out:

(Oops! I forgot to paste the pattern. I'll have to get it from my home computer again)
Here it is:

Code: Select all

``````x = 173, y = 58, rule = B3/S23
117bo\$118bo\$116b3o\$\$134bo\$134bobo\$84bobo19bo19bo7boo\$85boo18bobo17bobo
18boo\$85bo20boo11boo5boo19bobbo\$118bobo26bobobo\$26boo18boo18boo18boo
18boo12bo5boo18booboo\$27bo19bo19bo19bo19bo19bo15bo3bo\$6boo19bobo17bobo
17boboo16boboo16boboo16boboo12bo3boboo\$7boo19boo18boo18bobbo16bobbo16b
obbo16bobbo11bo4bobo\$6bo3boo40bobo15boo18boo18boo18boo4bo\$10bobo39boo
64boo16bobo\$10bo42bo65boo15boo\$118bo\$54boo77b3o\$53boo78bo\$55bo78bo11\$
156bo\$156bobo\$156boo\$147bo\$145bobo\$146boo\$\$156bo\$154boo\$155boo\$136bo\$
137boo\$136boo\$56bo\$54boo103bo\$55boo29bo28boo28boo12bobo\$6boo18boo18boo
10boo6boo16bobo3bobo3boo17bobo27bobo11boo9bo\$7bobbo16bobbo16bobbo7bobo
6bobboo13boo4boo4bobboo15bobboo25bobboo17bobo\$7bobobo15bobobo15bobobo
6bo8bobobbo18bo5bobobbo14bobobbo24bobobbo3b3o10bobbo\$6booboo15booboo
15booboo15boob4o16bo6boob4o13boob4o23boob4o3bo9boob4o\$3bo3bo19bo19bo
19bo21boo6bo19bo29bo9bo9bo\$3bo3boboo16boboo16boboo16boboo17bobo6boboo
16boboo26boboo16boboo\$3bo4bobo17bobo17bobo17bobo27bobo17bobo27bobo17bo
bo\$\$boo130b3o\$obo132bo\$bbo131bo!
``````
Extrementhusiast wrote:A component I had previously used solves a G1: (beehive to eater):
I hadn't noticed this component before. This solves around .4% of large still-lifes, which is quite fruitful. It also solves 2 20-bit P2 oscillators.
Extrementhusiast wrote:270-272 from three 19-bitters:
I don't know of any way to make the 19-bit still-lifes.
Extrementhusiast wrote:#203 from a 15-bitter:
The middle step appears to create some toxic debris from the pond that attacks the still-life. It should be easy to remove, but I wonder if one of your cleanup gliders is just mispositioned? Here is a full 31-glider synthesis that eliminates it with one glider, and another for the B-block:

Code: Select all

``````x = 151, y = 98, rule = B3/S23
115bo\$116bo8bobo\$114b3o8boo\$118bo7bo\$118bobo\$118boo\$79bo\$77boo\$78boo\$
28bo\$26boo53bo12bo19bo23boo\$27boo20bo19bo10boo7bo4bo14bo4bo22bobboboob
o\$48bobo17bobo9bobo5bobo3bo13bobo3bo23boboboboo\$26bo3boo17bobo17bobo
17bobo17bobo27bobo\$26booboo19bo19bo19bo19bo29bo\$25bobo3bo\$129boo\$128b
oo\$98boo30bo\$99boo24boo\$98bo25boo\$126bo7\$82bo\$83bo\$81b3o\$85bo\$84bo\$84b
3o\$81bo\$82bo\$80b3o\$89bo12boo18boo18boo\$87boo13bo19bo19bo\$88boo14bo19bo
19bo\$78boo18boo3boo13boo3boo13boo3boo3boo\$77bobboboobo11bobbobo14bobbo
bo5bobo6bobbobo4bobbo\$78boboboboo12bobobo15bobobo5boo8bobobo4bobbo\$79b
obo5boo10bobo17bobo7bo9bobo6boo\$80bo6bobo10bo19bo19bo\$87bo41boo\$129bob
o\$129bo3\$36bo\$36bobo\$36boo\$12bobo\$13boo\$13bo3\$3bo41bo\$4bo38boo\$bb3o39b
oo5\$126bobo\$127boo\$22boo103bo\$22bo\$24bo39boo18boo18boo19boo\$18boo3boo
3boo28boo4bo13boo4bo13boo4bo14boo4bo13boo3bo\$17bobbobo4bobbo26bobbobob
o12bobbobobo12bobbobobo13bobbobobo12bobbobobo\$18bobobo4bobbo26booboboo
13booboboo13booboboo14booboboo13booboboo\$19bobo6boo29bobo17bobo17bobo
18bobo17bobo\$20bo38bobo17bobo17bobo18bobo17bobo\$bo58bo19bo19bo20bo19bo
\$boo\$obo3\$3b3o\$5bo35boo\$4bo4bo30boo\$9boo31bo\$8bobo\$37boo\$36boo\$38bo\$
20bobo\$20boo\$21bo\$\$20boo37boo18boo\$20bobo36boo18boo\$20bo\$77boo\$76bobo\$
78bo!
``````
Extrementhusiast wrote:A completely different way to synthesize 15.836:
This allows this to be built starting from the boat (which could be attached to something else).
Extrementhusiast wrote:#223 from a 16-bitter:
This method substantially reduces #345.5 (one removed from the list before I posted it) from 32 to 19 (it used to be done by cooling a 21-bit P5 Elkies w/tub):

Code: Select all

``````x = 159, y = 52, rule = B3/S23
bbo\$3bo\$b3o\$12bo\$11bo\$11b3o3\$3bobo\$4boo\$4bo10bo\$14bo85bo34bobo\$14b3o
83bobo33boo\$100boo34bo4bo\$17boo123boobobo\$17bobo12bobboo15bobboo15bobb
oo15bobboobboo11bo19bo8boobboo5bo\$17bo13bobobbo14bobobbo14bobobbo14bob
obbobbobo9bobobobbo12bobobobbo7bo4bobobobbo\$bo30boobo16boobo16boobo16b
oobo3bo12boob4o13boob4o13boob4o\$boo4b3o24bo19bo19bo19bo19bo19bo19bo\$ob
o6bo15bo8bobo17bobo17bobo17bobo17bobo17bobo17bobo\$8bo15bo10boo18boo18b
oo18boo18boo18boo7bo10bobo\$24b3o117bobo9bo\$35boo18boo83boobboo\$35boo
18boo82boo\$10bo4b3o123bo\$10boo5bo39b3o74b3o\$9bobo4bo40bo78bo\$58bo76bo
6\$130bo\$128bobo\$129boo\$\$135bo\$135bobo\$135boo\$125bo\$126boo\$125boo\$131bo
\$130bobb3o\$132bo19bo\$122b3o8bobobbo12bobobobbo\$124bo7boob4o13boob4o\$
123bo10bo19bo\$134bobo17bobo\$135bobo17bobo\$136bo19bo!
``````
Extrementhusiast wrote:A completely different way to synthesize the other bun on snake (the one that wasn't on page eight):
This method also permits many larger still-lifes (and a few pseudo-still-lifes) that have inducting cis-snakes.
Extrementhusiast wrote:#171 can be made from an 18-bitter via the usual method:
Unfortunately, the only way I know to make this 18-bit still-life is from the 17-bit one, so they becomes circular. Do you know another way to make the 18-bit one?

By the way, I noticed that may objects here start with 12.7, which has long had a large 4-glider synthesis. However, there is a smaller, more recent 4-glider synthesis that could make more of these syntheses more compact (although no cheaper):

Code: Select all

``````x = 25, y = 13, rule = B3/S23
bo\$bbo\$3o3\$bo\$o22bo\$3o19bobo\$6b3o13boo\$6bo13boo\$b3o3bo13bo\$3bo17bobo\$
bbo19boo!
``````
dvgrn wrote:Make that 16 gliders -- the intermediate blinker can be replaced by a single glider:
(#247). The ship can be made earlier, simplifying timing. Several things can also be done with the beehive. For example, it can be flipped on its side, allowing the two gliders that make it to come from behind the eater. It can also be replaced by many things that have diagonal edges, such as tubs, boats, loaves, ponds, mangos, barges, even toads.
But it can also be replaced by a single glider, reducing the synthesis to 15:

Code: Select all

``````x = 86, y = 57, rule = B3/S23
59bobo\$59boo\$60bo\$\$16bo45bo\$14bobo44bo\$15boo44b3o3\$63bo\$61boo\$62boo8\$o
bo\$boo\$bo6\$20bo56boo\$18bobo11boo43bobobboobo\$19boobbo8bobo44bobboboo\$
22bobo8boo44boobo\$23boo57bo\$82boo4\$74boo\$74boo4\$3boo\$4boo\$3bo11\$10bo
46b3o\$10boo45bo\$9bobo46bo!
``````
dvgrn wrote:I'll be curious if some variant of this recipe is useful elsewhere -- only the tail of the eater ever protrudes into the rightmost column.
This is less obtrusive than the only two methods I know of putting the eater there point-first (one used in #246, and the other is identical with one glider slightly nudged). For only 6 gliders, this is very cheap, as even if there were a way to make the eater from something else, it would likely be much more expensive.
Sokwe wrote:Here's #173:
(From 42 gliders.) Using the 2-glider bun-to-bookend reduces this by one.
Extrementhusiast wrote:#333 from a trivial 26-bitter: ... This could most likely be improved.
2 gliders can clean up the leftovers. 3 gliders can be saved by using the 2-glider bun-to-bookend converter. But this can be done much more easily from only 9 gliders, in the same manner as 15.664. (Still, your synthesis is a good way of making this starting from the block):

Code: Select all

``````x = 109, y = 67, rule = B3/S23
84bo\$82bobo\$83boo\$44bo41bobo\$3bo38bobo3bobo35boo\$4boo37boo3boo30bobo4b
o\$3boo44bo31boo19booboo\$66bo14bo4bo15boobo\$bo26bo19bo16bobo10bo6bobo
17bobo\$boo25bo19bo16boobo9boo5boobo16boobo\$obo25bo14b3obbo19bo8bobo8bo
19bo\$45bo19b3o17b3o17b3o\$44bo20bo19bo19bo21\$27bobo\$28boo\$28bo20bo\$47b
oo\$48boo5\$52bo40bo\$50boo40bo\$51boo39b3o\$69boo18boo\$32booboo25booboobbo
bo10booboobbobo10booboo\$32boobobo24boobo4bo11boobo4bo11boobo\$35bobo27b
obo17bobo17bobo\$35boo28boobo16boobo16boobo\$68bo19bo19bo\$35b4o26b3o17b
3o17b3o\$35bo3boboo22bo4boo13bo4boo13bo\$38boobo28boobboo14boobboo\$41bo
32boo18boo\$41boo\$65b3o17b3o\$94boo\$93boo\$95bo\$26bo\$27bo\$25b3o25bo\$29b3o
20boo\$31bo4b3o13bobo\$30bo5bo\$37bo!
``````
Extrementhusiast wrote:#326 from a 15-bitter:
Half of this makes a nice tool to reduce a loop into a hat. I'm not sure whether this will come in useful elsewhere, but it is good to have around in any case.
Extrementhusiast wrote:#182 from a 16-bitter:
This method (carrier to pre-block and siamese beehive) covers almost .4% of larger still-lifes. Very nice! It also gives us #301 for free. (It's a good thing I noticed this - I had converted and noted the 16-bit predecessor synthesis, but forgot to save it - so I had to go back to your 11/14 post and reconstruct it):

Code: Select all

``````x = 67, y = 23, rule = B3/S23
54bo\$53bo\$53b3o3\$oo18boo18boo18boo\$obboo15bobboo15bobboo15bobboo\$bboo
bbo15boobbo15boobbo15boo\$5boo18boo18boo4boo12bo\$boboo16boboo16boboo5b
oo9boboobo\$boobo6bo9boobo16boobo7bo8boobobo\$10bo54bo\$10b3o\$24boobboo
14boobboobb3o\$4b3o17boobbobo13boobbobobo\$4bo8bobo13bo19bo3bo\$5bo7boo\$b
3o10bo24b3o\$3bo37bo\$bbo12b3o22bo\$15bo33b3o\$16bo32bo\$50bo!
``````
Sokwe wrote:Here's an unimportant converter found while trying to solve this still life:
It does solve 23 still-lifes from 20-24 bits, around .01% of them. Not terribly useful, but definitely not useless either!
Sokwe wrote:#109 and #320
Ship to boat can be done more cheaply (2 gliders), reducing this by two.
Extrementhusiast wrote:#312 from a 15-bitter via a variation of a known converter:
I figured this one should have been obvious, but I wasn't able to figure it out (and I had forgotten about the mango-peeler mechanisms). I actually do have this exact mechanism in the expert system, and I just figured out why it didn't match this object: it's over-specified - it mandates that nothing touches the back of the very long shillelagh, even though (in cases like this one) it's permissible for something to be directly attached to it.

And now for some new ones:

Here is an idea I had for #164 from 2009: Generations 0, 6 (needs spark), 7 (need spark); object appears at 8:

Code: Select all

``````x = 66, y = 13, rule = B3/S23
20boo19b3o\$22b3o4bo11b4o3boo\$25b4o14b7o\$45b3o\$oo22bo36booboo\$oobboo14b
oo3bo14b4obo14bobobo\$3boo16boboo15boo3bo14bo4bo\$5bo16b3o17bobo16b4o\$
43bo19bo\$65bo\$41b6o17boo\$41b3o\$42bobo!
``````
Brute force synthesis of #290 from 41 gliders. This does not Lewis's broth seed. It does use a tail-to-boat converter posted for #231, but this can be done with just 4 gliders rather than 7. (I don't recall anyone posting a synthesis of this, but it was removed from the list for some reason):

Code: Select all

``````x = 129, y = 97, rule = B3/S23
94bo\$94bobo\$94boo\$\$93bo\$91bobo\$54bobo35boo\$54boo\$47bo7bo\$45bobo\$12bobo
3bo27boo72bo\$13booboo19bo19bo19bo13boo14bo11bobo5bo\$13bo3boo17bobo17bo
bo17bobo11bobo13bobo11boo4bobo\$35bobo17bobo17bobo14bo12bobo17bobo\$14b
oo20bo19bo17bobo27bobo17bobo\$13boo33boo24bo29bo19bo\$15bo33boo24bo29bo
19bo\$48bo27bo29bo19bo\$75boo28boo18boo\$52bo\$52boo\$51bobo3bo\$55boo\$56boo
6\$17bobo\$16bo\$16bo3bo\$16bo3bo\$16bo\$16bobbo\$16b3o6\$25bo89bo\$13bobo10bo
88bobo\$14boo8b3o88boo\$14bo13bo\$28bobo\$28boo4\$20bo13boo11bo19bo19bo19bo
\$19bobo5bo6bobo5bo3bobo13bo3bobo13bo3bobo13bo3bobo13bo3bo\$20boo4bobo5b
o6bobobobbo12bobobobbo12bobobobbo12bobobobbo12bobobobo\$25bobo14boobobo
14boobobo14boobobo14boobobo14boobobo\$5boo17bobo17bobo10bobo4bobo17bobo
17bobo17bobo\$bb3oboo16bo19bo13boo4bo19bo19bo11boo6bo\$bb5o18bo19bo12bo
6bo17boo18boo11bobo4boo\$3b3o20bo19bo14bo4bo49bo\$25boo18boo14boobboobbo
bo40boo\$60bobo6boo41bobo\$14boo54bo41bo\$15boo49boo40b3o\$14bo52boo41bo\$
9b3o54bo42bo\$11bo14bo\$10bo14boo\$25bobo15\$3bobo6bo3bo15bo3bo15bo3bo8bo
16bo3bo15bo3bo15bo3bo\$4boo5bobobobo13bobobobo13bobobobo7bobo13bobobobo
13bobobobo13bobobobo\$4bo7boobobo13bobobobo13bobobobo7boo14bobobobo13bo
bobobo13bobobobo\$14bobo15bobobo15bobobo25bobobo15bobobo15bobobo\$bbo11b
o19bo19bo29bo19bo19bo\$obo10boo18boo18boo28bobo17bobo17bobo\$boo80boo18b
oo19bo\$\$3bo99bo\$3boo97boo\$bbobo47boo48bobo\$51bobo45boo\$53bo15boo27bobo
\$55b3o10boo30bo\$55bo14bo\$56bo!
``````
#231 is also reduced by 3 gliders (see improved converter in above object).

#364 and #322 from 19 and 22 gliders (obvious):

Code: Select all

``````x = 169, y = 83, rule = B3/S23
99bo\$97boo\$98boo\$\$88bo\$89boo14bo\$88boo15bobo\$105boo\$101bo\$82bobo15bo\$
83boo15b3o\$83bo\$154bobo\$154boo\$155bo\$7bo\$5bobo113boo18boo13boo3boo\$6b
oo113bobbo16bobbo11bobobbobbo\$51bo70b3o17b3o11bo5b3o\$5boo44bobo\$5bobo
16boo18boo5boo11booboo25booboo25b3o17b3o7bo9b3obo\$bbobbo16bobbo16bobbo
bboo12bobboboo23bobboboo6boo15bobbobo14bobbobo5boo7bobboboo\$obo19boo
18boo4bobo11boo28boo7boobbobo14boo4bo13boo4bo4bobo6boo\$boo45bo53boobo
23bo19bo\$101bo26boo18boo\$oo78boo\$obo76bobo\$o80bo\$\$149boo\$90bo58bobo\$
90boo57bo\$89bobo19\$148bo\$147bo\$147b3o9\$145bo\$144bo\$144b3o\$140bobo\$141b
oo\$141bo9\$141boo21boo\$141bobbo17bobbo\$142b3o17b3o\$\$144b3obo15b3obo\$
142bobboboo13bobboboo\$142boo18boo!
``````
#119 from 16 gliders. Another fortuitous variation of a temporarily-distorting head-to-tub transformation:

Code: Select all

``````x = 109, y = 38, rule = B3/S23
bbo\$3boo\$bboo\$7bo34bo\$5boo3b3o27bobo19bo19bo19bo\$6boobbo14boboo12boobb
oboo12boboboboo7b3obboboboboo12boboboboo\$11bo13boobo16boobo13booboobo
9bo3booboobo11bobboboobo\$9bo67bo23boo\$9boo68bo\$8bobo67boo\$78bobo15\$bbo
\$3bo40bobo31bo\$b3o41boobbobo26bobo\$5bo39bo3boo27boo\$4bo35bo9bo35bobo\$
4b3o17boo15bobboo31bo8boo\$24boo13b3obboo32boo7bo\$77boo\$63boo18boo18boo
\$bbo19bo19bo20bo19bo16bobbo\$boboboboo12boboboboo12boboboboo11boobobob
oo5b3o3booboboboo10boboboboboo\$obboboobo11bobboboobo11bobboboobo11bobb
oboobo7bo3bobboboobo11bobboboobo\$boo18boo18boo18boo12bo5boo18boo!
``````
This also solves a handful of larger still-lifes, but not many of them.

This is a slight variation of the peel-to-tail converter that is less obtrusive. (This came as a result of a futile attempt to make #353). This gives #389, #391 and #396 from 21, 17, and 22 gliders:

Code: Select all

``````x = 169, y = 105, rule = B3/S23
99bobo\$53bo45boo\$22bo31boo44bo\$22bobo28boo39bo\$22boo68bobo10bo\$59bo33b
oo8boo\$15bo41boo45boo\$13boo39bo3boo\$14boo31bobo5boo39bo\$48boo4boo38bob
o\$bbo17b3o25bo46boo24boo18boo18boo\$obo17bo64boo35bo19bo19bo\$boo6boo10b
o52boo7bo4bo15boo16boboo16boboo16boboo\$8boo22boobbo15boobbo16bobbo12bo
13bobbo11boo3bobbo11boo3bobbo16bobbo\$10bo8boo4boo5bobbobo14bobbobo15bo
bobo5bo5bo13bobobo10boo5bobo10boo5bobo17bobo\$18bobo3boo8boobbo15boobbo
15boobbo5b6o6boo6boobbo15boobbo5b3o7boobbo15boobbo\$20bo5bo9bobo17bobo
17bobo16bobo8bobo17bobo7bo9bobo17bobo\$36boo18boo18boo19bo8boo18boo7bo
10boo18boo\$99b3o\$99bo\$100bo\$\$107bo\$6bo99boo\$6boo98bobo\$5bobo11boo\$18b
oo\$20bo7\$69bo\$68bo\$68b3o\$52bo\$53bo\$51b3o\$99bobo\$99boo\$100bo\$46bobo14bo
30bo\$47boo12boo29bobo10bo\$47bo14boo29boo8boo\$104boo\$\$96bo\$94bobo\$95boo
24boo18boo18boo\$65bo19boo35bo19bo19bo\$64boo8boo7bo4bo15boo16boboo16bob
oo16boboo\$64bobo6bobo13bo13bobo12boo3bobo12boo3bobo17bobo\$57bo15bobobo
5bo5bo13bobobo10boo5bobo10boo5bobo17bobo\$48bobo6bobo14bobobo5b6o6boo6b
obobo15bobobo5b3o7bobobo15bobobo\$49boobboobboo16bobbo16bobo7bobbo16bo
bbo7bo8bobbo16bobbo\$49bo3bobo20boo19bo8boo18boo7bo10boo18boo\$53bo45b3o
\$99bo\$100bo\$\$66boo39bo\$65boo39boo\$67bo38bobo16\$99bobo\$99boo\$100bo\$94bo
\$92bobo10bo\$57bo35boo8boo\$57bobo44boo\$43bobo11boo\$44boo6bo43bo\$44bo7bo
bo39bobo\$6bobo43boo41boo24boo18boo18boo\$7boo76boo35bo19bo19bo\$7bo66boo
7bo4bo15boo16boboo16boboo16boboo\$34bo19bo6boo10bobbo12bo13bobbo11boo3b
obbo11boo3bobbo16bobbo\$14bo18bobo17bobo4boo6bo4bobo7bo5bo13bobo12boo5b
o12boo5bo19bo\$12boo20boo18boo6bo4bo6boobo6b6o6boo6boobo16boobo6b3o7boo
bo16boobo\$13boo21boo18boo9b3o6bobo16bobo8bobo17bobo7bo9bobo17bobo\$36bo
bo17bobo5bo11bobo18bo8bobo17bobo6bo10bobo17bobo\$37bo19bo5boo12bo21b3o
5bo19bo19bo19bo\$10bo3boo47bobo33bo\$10booboo85bo\$9bobo3bo44b3o\$62bo44bo
\$61bo44boo\$106bobo!
``````
I've collated all the still-lifes here and added them to my object synthesis database (with every step instantiated, etc.). In just two weeks, over 1/3 of the difficult objects have been synthesized, which is very impressive. Unfortunately, I suspect that the going will get more difficult once all the low-hanging fruit have been picked clean.

My list agrees mostly with the one at the front of this topic, with the following minor differences:
- #214 is listed as solved, but I don't have it in my list. When was that posted, and by whom?
- #200 should be added back, as a broth predecessor was listed, but no glider synthesis was ever distilled from it (that I know of. I tried playing with it, but different random pieces keep splitting off and recombining, making this hard to re-factor).
- #119, #290, #301, #322, #364, #389, #391, #396 are solved (see above)
- #280 is solved (see Extrementhusiast's post immediately above)
- #255 is solved (Sokwe re-mentioned this on Jan. 8, but had posted the partial synthesis earlier).

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

#141 from a known 19-bitter:

Code: Select all

``````x = 81, y = 22, rule = B3/S23
3bo\$4bo8bo\$2b3o9bo\$12b3o\$16bo\$16bobo\$16b2o2\$11b2o\$b2o6bo2bo17b2obo21b
2obo16b2obo\$obo6b3o17bo2b2o20bo2b2o15bo2b2o\$2bo4b2o20b2o23b2o18b2o\$8bo
b2o18bob2o21bob4o14bob4o\$6bobobobo15bobobobo2bo15bobobo2bo14bobo2bo\$6b
2o3bo16b2o3bo3bobo13b2o21bo\$37b2o\$55bo\$39b2o13b2o\$38bobo13bobo\$40bo10b
2o\$50bobo\$52bo!
``````
EDIT: #137 from a trivial 20-bitter:

Code: Select all

``````x = 300, y = 41, rule = B3/S23
71bo\$70bo212bo\$70b3o210bobo\$269bo13b2o\$269bobo\$205bo63b2o\$206bo73bo\$
204b3o61bo5bo5bobo\$119bobo94bo52bo4bobo3b2o\$7bobo110b2o68bo23b2o51b3o
4b2o\$8b2o3bo55bo50bo26bo42bobo22b2o61bo\$2b2o4bo2b2o38b2o15bo17b2o11bob
o12b2o21b2o6b2o13b2o18b2o8b2o17b2o7b2o57b2o\$3bo8b2o38bo15b3o16bo11b2o
14bo6bobo13bo7b2o13bo19bo28bo7bobo56bobo\$2bo48bo34bo13bo13bo7b2o13bo
11b2o9bo19bo28bo8bo28bo22bo\$2b2o2bo44b2o2b2o29b2o26b2o7bo13b2o2bo7bobo
8b2o2b2o14b2o2b2o23b2o29bo6b3o20b3o21b2o\$5bobo46bobo32b2o8bo17b2o21bob
o6bo13bo2bo16bo2bo25bo28bo8bo22bo19bo2bo\$2b2obobo43b2obo31b2ob2o7bo15b
2ob2o3b2o13b2ob2o18b2ob4o13b2ob4o22b2ob3o24b3o5b2ob3o17b2ob3o17b2ob3o\$
3bo2bo5bo39bobo32bo10b3o14bo5bo2bo13bo22bo19bo28bo4bo32bo4bo17bo4bo17b
o4bo\$bobo7bo38bobob2o31bob2o24bob2o3b2o3bo10bob2o19bob2o16bob4o23bob3o
27bo5bob3o18bob3o18bob3o\$obo8b3o35bobo34b2ob2o8bo14b2ob2o7bo10b2obobo
17b2obobo2bo11b2obo2bo22b2obo22b2o5b2o3b2obo21b2o21b2o\$bo6bo41bo48b2o
22bo2b3o12bo22bo3bobo63bobo4bobo\$7b2o24bobo62bobo21b2o44b2o66bo\$7bobo
23b2o87bobo\$2b2o30bo135b2o14b2o\$bobo116bo48bobo13b2o\$3bo31b2o29b2o52b
2o49bo10b2o3bo51b2o\$36b2o28bobo50bobo59bobo8b3o36b2o5bobo\$35bo30bo116b
o8bo39b2o6bo\$193bo37bo2\$186b3o\$49b2o135bo\$48bobo136bo\$50bo143bo\$193b2o
\$23b3o167bobo\$25bo\$24bo\$36b3o\$38bo\$37bo!
``````
Also, #373 can be solved in a similar way to #312.

EDIT 2: #334 from a 15-bitter:

Code: Select all

``````x = 53, y = 23, rule = B3/S23
27bo\$28bo\$26b3o\$30bo\$30bobo\$30b2o\$20bo\$18bobo\$19b2o2\$b2ob2obo21b2ob2ob
o10b2ob2obo\$obobob2o20bobobob2o11bobob2o\$o27bo17bo\$b3o25b3o15b2o\$3bo
27bo16bo\$31bobo14bobo\$8b2o22b2o15b2o\$7b2o\$3b3o3bo\$5bo\$4bo15b2o\$19bobo\$
21bo!
``````
EDIT 3: #344 from a solved 17-bitter:

Code: Select all

``````x = 20, y = 32, rule = B3/S23
7bo\$8b2o\$7b2o2\$11bobo4bo\$7b2o2b2o4bo\$7bobo2bo4b3o\$7bo4\$bo\$obobo2bo\$b2o
b4o\$3bo\$3bobo\$4bobo3b2o\$5bo3bo2bo\$9bo2bo\$10b2o10\$b3o\$3bo\$2bo!
``````
EDIT 4: #300 from a 16-bitter:

Code: Select all

``````x = 96, y = 28, rule = B3/S23
39bo\$40bo\$38b3o\$42bo\$42bobo\$42b2o4bo\$46b2o27bo\$6b2o29b2o8b2o26bobo\$7bo
5bo24bo36b2o\$5bo5b2o23bo31bo2b2o19bo2bo\$5b2o5b2o4b2o16b5o27b4obo3b3o
12b4o\$3b2o2bo9b4o13b2o4bo10b2o13b2o5bo3bo12b2o\$2bo3b2o8b2ob2o12bo3bo
13bobo11bo3bo3b2o3bo10bo3bo\$3b3o11b2o15b3obo12bo14b3obo19b3obo\$5bo30bo
bo29bobo21bobo\$37bo31bo23bo2\$5b2o2b2o2b3o40b2o\$5b2o2bobobo31b3o8bobo\$
10bo3bo30bo10bo\$46bo\$3o\$2bo36b2o\$bo38b2o\$10b3o26bo\$10bo36b2o\$11bo34b2o
\$48bo!
``````
EDIT 5: #383 from a trivial 22-bitter:

Code: Select all

``````x = 107, y = 18, rule = B3/S23
78bobobobo\$79b2ob2o\$2o32b2o34b2o7bo3bo14b2o\$obo31bobo33bobo25bobo\$2bo
33bo35bo7bo19bo\$2b2o32b2o34b2o5bobo18b2o\$5b2o9bo22b2o3b2o29b2o2bobo21b
2obo\$2b2obobo6b2o20b2obobobobo8bobobo13b2obobob2o19b2obob2o\$2bo2bobo7b
2o19bo2bobobo28bo2bobo4b3o15bobo\$obo2b2o27bobo2bobob2o25bobo2bobo4bo\$
2o15bo16b2o4bo25b2o2b2o4bo6bo\$17b2o48b2o\$16bobo47bo8b2ob2o\$74bobobobo\$
69b3o4bobo\$4b2o6bo58bo\$5b2o4b2o57bo\$4bo6bobo!
``````
EDIT 6: #304 from a 16-bitter:

Code: Select all

``````x = 142, y = 32, rule = B3/S23
50bo\$51b2o\$50b2o13bobo\$65b2o\$66bo3\$119bo\$65bobo52bo\$65b2o51b3o3bo\$bobo
62bo47bo7b2o\$2b2o27bo76bo6b2o6b2o\$2bo7bo21bo3bo17b2o9b3o41bo4b2o\$9bo
20b3ob2o17bo2bo8bo23bobo6bo8b3o\$9b3o23b2o16bo2bo9bo3b2o17b2o6bo\$14bo
39b2o14bobo17bo6b3o\$13bo56bo\$13b3o70bo6bo\$bo18bo2bo9bo4b2o12bo4b2o22bo
3bobo4bo15bo6bo19b2o\$obobo2bo11bo12bobobo2bo11bobobo2bo21bobobo2bo4b3o
14b2o3bobobo16bobo\$b2ob4o11bo3bo9b2ob3o13b2ob3o23b2ob3o21b2o5b2ob3o16b
3o\$3bo15b4o12bo18bo28bo33bo3bo14bo3bo\$3bobo29bob2o15bob2o25bob2o30bob
2obo13bob2obo\$4b2o30bobo16bobo26bobo31bobobo14bobobo\$90b2o29bo18bo\$8b
2ob2o77bobo\$8b2ob2o77bo2\$13b3o71b2o\$b2o10bo69bo2b2o21b3o\$obo11bo68b2o
3bo22bo\$2bo79bobo25bo!
``````
EDIT 7: #303 from #157:

Code: Select all

``````x = 25, y = 27, rule = B3/S23
8bo\$8bobo\$8b2o3\$2bo\$obo\$b2o7bo\$11bo\$9b3o\$13bo\$13bobo\$13b2o\$4b2o\$4bobob
2o\$6b2o2bo\$5bo3b2o\$5bob2o8bo\$6bobo7b2o\$7bo8bobo4\$14b3o5b2o\$7b2o5bo7bob
o\$6bobo6bo6bo\$8bo!
``````
EDIT 8: #283 from a trivial 17-bitter:

Code: Select all

``````x = 44, y = 25, rule = B3/S23
31bo\$29b2o\$30b2o2\$15bobo\$15b2o\$6bo9bo\$7b2o\$6b2o3\$30bo4bo\$31b2obo\$30b2o
2b3o3\$15b2o\$14bo2bo2bo\$14b3o2bobo\$17b2obo\$16bo2bo\$17b2o23b2o\$2o39b2o\$b
2o40bo\$o!
``````
EDIT 9: #282 from a 16-bitter:

Code: Select all

``````x = 57, y = 24, rule = B3/S23
12bo26bo\$12bobo22b2o\$12b2o24b2o3\$b2o22b2o24b2o\$2bo23bo25bo\$o2b2obo17bo
2b2o21bo2b2o\$3o2b2o17b3o2bobo18b3o2bo\$3bo23bo2b2o21bobo\$2bo13bo9bo25bo
2b2o\$2b2o10b2o10b2o24b2o\$15b2o\$33bobo\$8b2o23b2o\$9b2ob3o19bo\$8bo3bo\$13b
o18b3o\$32bo\$33bo2\$35b3o\$35bo\$36bo!
``````
I Like My Heisenburps! (and others)

Sokwe
Moderator
Posts: 1674
Joined: July 9th, 2009, 2:44 pm

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:#137 from a trivial 20-bitter
This can be reduced by 6 gliders using this reaction:

Code: Select all

``````x = 37, y = 18, rule = B3/S23
9bo\$2o7bobo\$bo7b2o\$o29bo\$2o2b2o24b3o\$3bo2bo26bo\$2ob4o23b2ob3o\$bo29bo4b
o\$bob4o24bob3o\$2obo2bo23b2obo\$10bo\$8b2o13b2o3bo\$9b2o11bobo2b2o\$24bo2bo
bo2\$8b3o\$8bo\$9bo!``````
Also, the last step from this synthesis can be used to solve #138. Here are two similar ways to get there:

Code: Select all

``````x = 136, y = 45, rule = B3/S23
88bo\$89bo\$71bo15b3o\$72bo26bo\$70b3o24b2o\$40bo57b2o\$32b2o6bobo19b2o28b2o
7b2o\$33bo6b2o21bo29bo7bobo\$32bo29bo29bo8bo\$32b2o28b2o2bo25b2o\$65bobo3b
3o21bo2bo\$32b2o28b2ob2o4bo20b2ob4o\$33bo29bo8bo20bo\$33bob2o26bob2o26bob
2o\$34bo2bo26bobo27bobo\$36b2o4bo\$42bobo\$42b2o2\$39b3o\$39bo\$40bo2\$70bo\$
69bo63bo\$69b3o61bobo\$59bo59bo13b2o\$60bo58bobo\$58b3o58b2o\$71bo58bo\$70bo
47bo5bo5bobo\$70b3o16bo29bo4bobo3b2o\$88bo28b3o4b2o\$88b3o37bo\$127b2o\$42b
o84bobo\$2o28b2o8b2o18b2o28b2o28bo\$obo27bobo8b2o17bobo13bo13bobo27b3o\$
2bo3bo25bo11b2o16bo13bobo13bo30bo2bo\$2b2o2bobo23b2o2bo7bobo15b2o2b2o8b
2o14b3o25b2ob4o\$6b2o27bobo6bo20bo2bo17b3o6bo2bo22bo\$2b2o28b2ob2o25b2ob
4o4b3o12bo3b2ob4o22bob2o\$3bo29bo29bo9bo13bo5bo28bobo\$3bob2o26bob2o26bo
b2o7bo18bob2o\$4bobo27bobo27bobo27bobo!``````
Here's #328 from the same method used to solve #270, #271, and #274:

Code: Select all

``````x = 23, y = 21, rule = B3/S23
12bo\$10b2o\$11b2o2\$7bo\$2bo4bobo\$3b2o2b2o\$2b2o2\$16bo\$16bobo\$16b2o\$7bo\$2o
b2o2b3o\$bobo6bo\$bo3bo3b2o9b2o\$2b3obo13bobo\$5bo14bo\$4bo10b2o\$4b2o9bobo\$
15bo!``````
mniemiec wrote:#214 is listed as solved, but I don't have it in my list. When was that posted, and by whom?
I posted a solution to a related still life on January 4 that made this still life trivial (see here). I actually found the synthesis sometime in December, but I assumed it was already known so I didn't post it. Here is #214 and three related still lifes (Edit: it turns out that this was not correct ):

Code: Select all

``````x = 114, y = 107, rule = B3/S23
53bobo41bo\$54b2o42b2o\$54bo42b2o2\$75bo32bo\$75bobo30bobo\$75b2o31b2o\$63bo
\$64bo\$57bo4b3o\$55bobo38b2o\$35bobo18b2o38bo2bo\$35b2o23b2o35b2obo\$32bo3b
o24b2o35bobo2bo\$30bobo27bo12b2o23bobobobo\$31b2o39bobo24b2ob2o\$65b2o5bo
\$66b2o3b2o\$65bo\$111b3o\$106b2o3bo\$50b2o54bobo3bo\$51b2o53bo\$50bo51b3o\$
104bo\$103bo15\$96b2o\$96bo2bo\$97b2obo\$98bobo2bo\$98bobobobo2bo\$99b2ob2o3b
obo\$107b2o14\$97bo\$98b2o\$24bo40bo31b2o\$25bo19bo17bobo\$23b3o19bobo16b2o
42bo\$45b2o20b2o39bobo\$33bo33b2o39b2o\$34bo\$27bo4b3o\$25bobo\$5bobo18b2o
39b2o28b2o\$5b2o23b2o34bo2bo26bo2bo\$2bo3bo24b2o34b2obo26b2obo\$obo27bo
12b2o17b3o3bobo2bo24bobo2bo\$b2o39bobo23bobobobo23bobobobo\$35b2o5bo26b
2ob2o25b2ob2o\$36b2o3b2o17b2o\$35bo25b2o\$60bo\$111b3o\$106b2o3bo\$106bobo3b
o\$106bo\$102b3o\$104bo\$103bo15\$97b2o\$96bo2bo\$97b2obo\$98bobo2bo\$98bobobob
o2bo\$99b2ob2o3bobo\$107b2o!``````
Edit: #101 from 8 gliders based on Lewis' soup results (two similar syntheses):

Code: Select all

``````x = 71, y = 78, rule = B3/S23
46bo\$47bo\$45b3o\$21bo\$22bo\$20b3o42bo\$64bobo\$23b3o38bobo\$25bo28bo10bo\$
24bo28bo\$53b3o2\$57b2o\$56b2o8bo\$58bo6bo\$65b3o2\$68b3o\$68bo\$69bo11\$37b2o\$
36bobo\$38bo23\$24bo\$25bo39bo\$23b3o38bobo\$64bobo\$20b3o31bo10bo\$22bo32b2o
\$21bo32b2o2\$bo55b3o\$2bo56bo\$3o22bo32bo6bo\$24bobo37bobo\$3b3o18bobo37bob
o\$5bo19bo30b3o6bo\$4bo53bo\$57bo5\$43b3o\$45bo\$44bo!``````
Here is a similar-looking 17-cell still life that isn't on the list but can be synthesized from 5 gliders (possibly already known):

Code: Select all

``````x = 20, y = 16, rule = B3/S23
bo\$2bo4bo\$3o5bo\$6b3o\$18bo\$19bo\$17b3o3\$15b3o\$17bo\$16bo2\$2bo\$2b2o\$bobo!``````
Edit 2:
Extrementhusiast wrote:#334 from a 15-bitter
This same method can be used to solve #114:

Code: Select all

``````x = 44, y = 20, rule = B3/S23
7bobo\$7b2o\$8bo2\$2obo5b2o19b2obo2b2o\$ob2o5bobo13bo4bob2o3bo\$4b2o3bo16bo
7b3o\$b2obo19b3o4b2obo\$bo2bo26bo2bo\$2b2o18b2o8b2o\$21bobo\$23bo5\$41b3o\$
27b3o11bo\$29bo12bo\$28bo!``````
Edit 3: #115 from a constructable 18-cell still life:

Code: Select all

``````x = 99, y = 41, rule = B3/S23
96bobo\$91bo4b2o\$91bobo3bo\$91b2o\$64bo20bo\$62bobo5bo13bo\$63b2o6bo12b3o\$
69b3o\$74bo\$62bo11b2o15bo\$60bobo10bobo14bo\$61b2o27b3o3\$56bo\$54bobo\$55b
2o34bo\$91bobo\$87b2o2b2o\$5b2o28b2o38b2o9b2o\$4bo2bob2obo21bo2bob2obo31bo
2bob2obo5bo\$5b3obob2o22b3obob2o32b3obob2o\$78bo\$2bo4b2o26b4o36b3o\$3bo2b
obo26bo2bo36bo\$b3o3bo3\$38b2o\$3o34b2o\$o33b2o3bo\$bo31bobo8b3o\$35bo8bo\$
45bo12b2o20bo\$57bobo19b2o\$38b3o18bo19bobo\$38bo\$39bo\$46bo35b2o\$45b2o35b
obo\$45bobo34bo!``````
Edit 4: #198:

Code: Select all

``````x = 111, y = 26, rule = B3/S23
obo\$b2o13bo\$bo12b2o52bo\$15b2o49bobo\$67b2o\$64bo\$62bobo\$63b2o\$98bo\$b2o
28b2o13b2o18bo4b2o26bo\$bo2bo26bo2b2o4bobo3bobo18bo3bo2b2o21b3o4b2o\$2b
2obo26b2o2bo4b2o3bo18b3o4b2o2bo26bo2bo\$4bobo27bobo4bo32bobo25bobobo\$4b
o2bob2o23bo2b2o35bo2b2obo22b2o2b2obo\$5bobob2o6b2o16bobobo35bobob2o16b
3o5bobob2o\$6bo6b2o2bobo16bo3bo15b2o14bo3bo22bo5b2o\$14b2obo23bo13bobo4b
2o7bobo24bo\$13bo26b2o15bo5b2o7b2o\$62bo2\$38b3o\$38bo39b2o\$39bo38bobo\$2bo
75bo\$2b2o\$bobo!``````
-Matthias Merzenich

Extrementhusiast
Posts: 1850
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: 17-bit SL Syntheses

Sokwe wrote:
mniemiec wrote:#214 is listed as solved, but I don't have it in my list. When was that posted, and by whom?
I posted a solution to a related still life on January 4 that made this still life trivial (see here). I actually found the synthesis sometime in December, but I assumed it was already known so I didn't post it. Here is #214 and three related still lifes:

Code: Select all

``````x = 114, y = 107, rule = B3/S23
53bobo41bo\$54b2o42b2o\$54bo42b2o2\$75bo32bo\$75bobo30bobo\$75b2o31b2o\$63bo
\$64bo\$57bo4b3o\$55bobo38b2o\$35bobo18b2o38bo2bo\$35b2o23b2o35b2obo\$32bo3b
o24b2o35bobo2bo\$30bobo27bo12b2o23bobobobo\$31b2o39bobo24b2ob2o\$65b2o5bo
\$66b2o3b2o\$65bo\$111b3o\$106b2o3bo\$50b2o54bobo3bo\$51b2o53bo\$50bo51b3o\$
104bo\$103bo15\$96b2o\$96bo2bo\$97b2obo\$98bobo2bo\$98bobobobo2bo\$99b2ob2o3b
obo\$107b2o14\$97bo\$98b2o\$24bo40bo31b2o\$25bo19bo17bobo\$23b3o19bobo16b2o
42bo\$45b2o20b2o39bobo\$33bo33b2o39b2o\$34bo\$27bo4b3o\$25bobo\$5bobo18b2o
39b2o28b2o\$5b2o23b2o34bo2bo26bo2bo\$2bo3bo24b2o34b2obo26b2obo\$obo27bo
12b2o17b3o3bobo2bo24bobo2bo\$b2o39bobo23bobobobo23bobobobo\$35b2o5bo26b
2ob2o25b2ob2o\$36b2o3b2o17b2o\$35bo25b2o\$60bo\$111b3o\$106b2o3bo\$106bobo3b
o\$106bo\$102b3o\$104bo\$103bo15\$97b2o\$96bo2bo\$97b2obo\$98bobo2bo\$98bobobob
o2bo\$99b2ob2o3bobo\$107b2o!``````
That's actually not #214; the corner bit is on the wrong side.

EDIT: #214 (really!) from a 15-bitter:

Code: Select all

``````x = 84, y = 27, rule = B3/S23
41bo\$40bo\$8bo31b3o\$9bo\$7b3o3bo24bo\$3bo7b2o24bo\$4b2o6b2o23b3o\$3b2o\$39bo
\$13bo24b2o\$13bobo22bobo\$13b2o\$b2o25b2o28b2o16b2o\$bo2bo23bo2b2o25bo2b2o
b2o10bo2b2ob2o\$2b2obo23b2obo2b2o22b2obobo12b2obob2o\$3bobo24bobobobo23b
obobo13bobo\$bobob2o21bobob2o24bobob2o14bobo\$b2o25b2o28b2o6b2o11bo\$65b
2o\$60bo6bo\$59b2o\$12b2o29b2o14bobo\$12bobo27b2o12b2o\$12bo31bo10bobo\$3o
54bo\$2bo\$bo!
``````
EDIT 2: #171 from a 17-bitter apparently not on the list:

Code: Select all

``````x = 49, y = 32, rule = B3/S23
6bo\$7b2o\$6b2o2\$10bobo4bo\$6b2o2b2o4bo\$6bobo2bo4b3o\$6bo4\$2obo21b2obo13b
2obo\$ob2o2bo18bob2o13bob2o\$4b3o22b2o15b2o\$b3o22b3o2bo11b3o2bo\$bo2bo21b
o2bobo11bo2bobo\$3bobo3b2o17bobo15b2o\$4bo3bo2bo17bo\$8bo2bo\$9b2o16b2ob2o
\$26bobobobo\$28bobo8\$3o\$2bo\$bo!
``````
EDIT 3: #213 from a trivial 17-bitter:

Code: Select all

``````x = 31, y = 19, rule = B3/S23
28bo\$11b2o15bobo\$11bo2b2o12b2o\$12b2obo\$13bobob2o\$13bo2bobo\$obo2b3o4b2o
\$b2o2bo\$bo4bo10bo\$16bobo\$4b2o10bobo\$5b2o10bo\$4bo4\$5b2o\$4bobo\$6bo!
``````
I Like My Heisenburps! (and others)

Sokwe
Moderator
Posts: 1674
Joined: July 9th, 2009, 2:44 pm

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:That's actually not #214; the corner bit is on the wrong side.
Oh my, you're right. How embarrassing....
-Matthias Merzenich