## 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

### Re: 17-bit SL Syntheses

Two very different predecessors for #269:

Code: Select all

``````x = 54, y = 64, rule = B3/S23
bo\$2bo\$3o5\$4bo5bo\$5bo5bo\$3b3o3b3o11bo\$24bo\$22b3o\$26bo\$26bobo\$26b2o2\$
16b2o\$7bo7bo2bo\$7b2o7bobo\$6bobo6b2obob2o\$17bo2bobo\$17bobo3bo\$18bo5bo7b
2o\$23b2o7bobo\$32bo6\$26b2o\$25b2o\$27bo3\$49b2o\$48bobo\$48bobob2o\$47b2obobo
\$49bo2bo\$49bobo\$25bo8bo15bo\$24bo7b2o\$15bo8b3o6b2o\$14bo\$14b3o\$12bo\$6bo
3bobo\$4bobo4b2o\$5b2o2\$21b2o\$17b2obobo\$18bobo\$15bo2bobo\$14bobobob2o8b2o
\$15b2obobo9bobo\$17bo2bo9bo\$17bobo\$18bo2\$5b2o\$4bobo\$6bo!
``````
EDIT: #276 from a 15-bitter:

Code: Select all

``````x = 280, y = 47, rule = B3/S23
187bo\$187bobo\$187b2o6\$167bo\$77bo90b2o\$78bo88b2o\$76b3o\$67bobo\$68b2o23bo
bo\$68bo11bobo10b2o72bo6bobo\$25bo55b2o11bo8bo61bobo6b2o\$23b2o56bo19b2o
63b2o7bo\$24b2o76b2o\$19bo94bo121bo\$8bobo6b2o94bo123bo\$9b2o7b2o93b3o39bo
79b3o\$9bo143bobo97bo\$17bo61b2o73b2o95b2o\$18bo59bobo171b2o\$11bo4b3o60bo
49b2o28bo15b2o68bo\$10bobo115bo2bo25bobo15bo2bo26b2o32b3obobo3b2o\$11b2o
89bo4bo20b3o27b2o16b3o26b2o34bo2b2o3b2o\$24bo78b2obo133bo\$obo21bobo12b
2o3b2o38b2o16b2o2b3o19b3o45b3o24b4o40b4o24b2o\$b2o4bo3b2o3b2o6b2o12bo2b
obo2bo36bo2bo40bo2bo44bo2bo20b2o2bo2bo40bo2bo23bobo\$bo4bobobo2bobobo
21bobobo2bo11bobobo20bo2bo40bo2bob2o9bobobo23b2o2bo2bob2o17bobobo2bob
2o10bobobo19b2obo2bob2o19bo2bob2o\$7b2ob2obobo24b2ob2obob2o30b2ob2obob
2o34b2ob2obobo38bobob2obobo20bob2obobo35b2ob2obobo20b2obobo\$12bo2bo29b
o2bo2bo27bobo3bo2bobo32bobo3bo2bo40bo3bo2bo20bo3bo2bo40bo2bo22bo2bo\$
12bobo30bobo2b2o19bo7bobo3bobo3bo31bobo3bobo40b2o3bobo20b2o3bobo41bobo
23bobo\$13bo13b2o17bo24b2o7bo5bo5bo31bo5bo47bo27bo32b3o8bo25bo\$21b2o4bo
bo40bobo18b2o148bo\$21bobo3bo212bo\$21bo6\$156b2o\$97bo57bobo\$96b2o59bo\$
96bobo!
``````
EDIT 2: #336 from a trans boat on cap:

Code: Select all

``````x = 107, y = 30, rule = B3/S23
80bo\$78bobo\$79b2o3bo\$82b2o\$64bo18b2o\$65bo21bo\$63b3o21bobo\$87b2o2\$19bo
50bo10b2o\$20bo50bo9b2o\$5bo12b3o3bo44b3o29bo\$6bo6b2o7b2o11b2o4b2o32b2o
4b2o17bobo\$4b3o5bobo8b2o10bobo2bobo2b2o28bobo2bobo2bo14bobo2bo\$3o9bobo
b2o19bo2bobobobo6bobobo19b4obobobo12b2obobobo\$2bo10b2obobo16bobo2bobo
2bo29bobo2bobo2bo14bobo2bo\$bo15bo17b2o4b2o32b2o4b2o17bobo\$69b3o29bo\$
71bo9b2o\$70bo10b2o\$9b2o\$10b2o75b2o\$9bo77bobo\$87bo\$12b2o69b2o\$12bobo67b
2o\$12bo66b2o3bo\$8b2o68bobo\$7bobo70bo\$9bo!
``````
EDIT 3: Much farther along for one of the #269 predecessors:

Code: Select all

``````x = 215, y = 27, rule = B3/S23
7bo\$6bo61bo\$6b3o58bo58bo\$63bo3b3o54bobo\$bo62b2o7bo51b2o4bo29bo\$2bo60b
2o6b2o57bo28b2o\$3o3bo65b2o52bo3b3o27b2o\$5bo62bo30bo26b2o25bo24bo\$5b3o
59bo29b2o26bobo26b2o22bobo\$19bobo45b3o28b2o53b2o23b2o\$19b2o23b2o30b2o
17bo13b2o23b2o27b2o21b2o25b2o\$10b2o8bo22bobo29bobo17b2o11bobo22bobo23b
2obobo17b2obobo21b2obobo\$9bobo28bo2bo18bo9bo2bo18bobo2b2o3b2o2bo20b2o
2bo24bobobo20bobo24bobo\$6bo2bo5bobo15bo5bobobo16bobo8bobobo23bobo2bobo
bo20bobobo24bobobo15b2o3bobo21bo2bobo\$5bobob2o4b2o17bo4bobob2o16b2o8bo
bob2o25bobobob2o16b2obobob2o20b2obobob2o14bo2bobob2o19bobobob2o\$3b3obo
bo6bo15b3o2b3obobo26b2obobo27b2obobo17bob2obobo21bob2obobo17b2obobo21b
2obobo\$2bo3bo2bo8bo17bo3bo2bo28bo2bo22b2o5bo2bo21bo2bo25bo2bo19bo2bo
23bo2bo\$2b2o2bobo8b2o17b2o2bobo29bobo24b2o4bobo22bobo26bobo20bobo24bob
o\$7bo9bobo21bo31bo24bo7bo24bo19bo8bo22bo26bo\$102b2o47b2o19bobo\$101b2o
47bobo20b2o2b2o\$103bo69bo2b2o\$153b3o22bo\$153bo\$60b2o92bo\$61b2o\$60bo!
``````
Roughly the second half is taken from the double griddle synthesis.

EDIT 4: Finally solved #269 from a 17-bitter not on the list:

Code: Select all

``````x = 33, y = 25, rule = B3/S23
28bobo\$28b2o\$29bo2\$15bo\$16b2o\$o14b2o\$b2o5bo21bo\$2o7b2o13bo5bobo\$8b2o
12b2o6b2o\$23b2o2\$5bobo8b2o9b2o\$6b2o7bobo9bobo\$6bo9bo10bo2\$17bo\$13b2obo
bob2o\$13bob2obobo\$17bo2bo\$17bobo\$18bo\$5bo\$5b2o\$4bobo!
``````
EDIT 5: #278 from 13 gliders and nothing else:

Code: Select all

``````x = 30, y = 37, rule = B3/S23
29bo\$27b2o\$24bo3b2o\$bo20b2o\$2bo11bo8b2o\$3o9b2o\$13b2o\$6bobo\$7b2o\$7bo\$bo
bo\$2b2o\$2bo15bobo\$18b2o\$19bo5\$18b2o\$13bobo2bobo\$14b2o2bo\$14bo6\$10bo\$8b
obo\$2o7b2o\$b2o\$o\$20bo\$9b2o8b2o\$10b2o7bobo\$9bo!
``````
EDIT 6: #139 from a solved 17-bitter:

Code: Select all

``````x = 110, y = 35, rule = B3/S23
41bobo\$42b2o\$42bo2\$46bobo\$40bo6b2o\$41bo5bo\$39b3o\$56bo6bo6bo\$56bobo3bo
5b2o\$6bobo47b2o4b3o4b2o\$7b2o9bobo67b2o\$2bo4bo10b2o68b3o2bo\$obo16bo67bo
b2obo\$b2o84b3o2b3o\$88bo\$84bo\$6bo13bo34bo28b3o\$4bobo13b3o3bo23b2o3b3o3b
o25bo16b2o\$5b2o10bo5bobobo23bo6bobobo23bo2bob2o10bo2bob2o\$17b5obob2o
24bob4obob2o24bob2obo11bob2obo\$22bo17b3o9bo4bo29bo4bo11bo4bo\$19b3o20bo
11b3o32b3o14b3o\$9b2o8bo21bo11b2o14b2o17b2o15b2o\$10b2o57bobo\$9bo48bo10b
o\$58b2o\$57bobo\$62b2o\$15b2o44b2o\$16b2o6b2o37bo\$15bo7b2o\$19b3o3bo\$21bo\$
20bo!
``````
EDIT 7: #260 from a 12-bitter, in a similar style to #336:

Code: Select all

``````x = 122, y = 31, rule = B3/S23
95bo\$96bo\$94b3o3bo\$18bo54bobo14bo7b2o\$16bobo9bo45b2o15b2o6b2o\$17b2o8bo
46bo15b2o\$22bo4b3o\$20b2o\$21b2o56bobo\$80b2o\$80bo\$14bo33bo45bo22b2o\$bo
11bobobo7b2o14b2o4bobo37b2o4bobo20bo2bo\$2bo9bobob2o6b2o15bobo2bobo2bo
35bobo2bobo2bo18bobo2bo\$3o9bobo5b2o4bo16bo2bobob2o12bobobo20bo2bobob2o
17b2obob2o\$4b3o6b2o5b2o19bobo2bobo38bobo2bobo21bobo\$6bo34b2o4b2o38b2o
4b2o21bobo\$5bo111bo\$80bo12b2o\$22b2o56b2o11b2o\$14b2o5b2o56bobo\$13b2o8bo
\$15bo\$101b2o\$11b2o11b2o74b2o\$10bobo10b2o77bo\$12bo12bo70b3o\$15b2o79bo\$
15bobo71b2o6bo\$15bo74b2o\$89bo!
``````
I Like My Heisenburps! (and others)

mniemiec
Posts: 1181
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:#180 from a 17-bitter that I do not see on the list:
That was #99 posted by Sokwe on 2014-01-04. In fact, it is made from the 18-bit one with boat, so his last step and your first step cancel each other out, saving 4 gliders.
Extrementhusiast wrote:#394 from the corresponding 16-bitter:
Extrementhusiast wrote:#205 from the corresponding 16-bitter (and trivial operations):
These don't quite work as shown; one of the beehive-making gliders crosses streams with another glider. These can easily be fixed for the same cost (2 gliders instead of 3, plus 1 cleanup later):

Code: Select all

``````x = 43, y = 55, rule = B3/S23
9bo\$10boo\$9boo\$15bo\$13boo26boo\$14boo25boo\$3boo28boo\$3bobobboo23bobobb
oo\$5bobbo4boo20bobbo\$5boobo3bobbo19boobo\$7bo4bobbo21bo\$7bobo3boo22bobo
\$8boo28bobo\$3bo35bo\$bobo12bo\$bboo7bo3bo\$6boobbobobb3o\$5bobobbobbo\$7bo
3boobb3o\$15bo\$16bo7\$7bo\$5bobo\$6boo\$17bo\$17bobo\$17boo\$\$41boo\$41boo\$\$8b
oo28boo\$8bo4boo23bo\$5boobo3bobbo19boobo\$5bobo4bobbo19bobo\$7bobo3boo22b
obo\$6boboo26bobobo\$6bo29bobbo\$5boo6bo9bobo9boo\$7boo3bobo4boobboo\$7bobo
bboo5bobobbo\$8boo9bo4\$23boo\$3o19boo\$bbo21bo\$bo!
``````
Extrementhusiast wrote:#207 from a 17-bitter not on the list:
This is actually from an 18, based on #208 w/bookend changed to bookend-w/tub.
Extrementhusiast wrote:#200 tweezed from the given soup:
This totally eliminates one row from the list (the first one so eliminated)!
One glider can remove both debris blocks as they are forming, saving one glider over removing them separately later:

Code: Select all

``````x = 67, y = 59, rule = B3/S23
29bobo\$29boo\$o29bo\$boo\$oo4\$40bo\$40bobo\$40boo12\$19bo\$18bobo\$17bobbo40b
oo\$18boo40bobbo\$30bo3bo25boboo\$31boobobo22boobboboo\$22bo7boobboo22bobb
obbobo\$21boboboo32boo\$21boboboo\$22bo3\$22boo\$22boo12\$45bo\$44boo\$44bobo
7\$40bo\$39boo\$39bobo!
``````
Sokwe wrote:#154:
Your LWSS+6 glider carrier-flipping mechanism seems more complicated than necessary. It turns out that in this case, the standard 5-glider mechanism works, saving 4 gliders. Also, the 4-glider bookend-to-bookend-w/tub converter can be used instead of the 5-glider one, saving one more:

Code: Select all

``````x = 82, y = 25, rule = B3/S23
58bo\$48bo9bobo\$46bobo9boo\$47boo5\$5boo18boo20bobo5boo\$5bo4boo13bo4boo
16boo5bo4boo12boo4boo\$7bobobo15bobobo16bo8bobobo12bobbobobo\$6boobo16b
oobo26boobo16boobo\$9boo18boo15bo12boo18boo\$6b3o17b3o15bobo8boboo16bob
oo\$5bobbo16bobbo16boo8boobo16boobo\$5boo17bobo\$bo9bo13bo21bo\$bboo5boo
36boo\$boo7boo34bobo\$\$9bo\$8boo\$3o5bobo\$o\$bo!
``````
Extrementhusiast wrote:Also, that component allows for predecessors for #140, #150, #165, and #166:
Unfortunately, the only way I know to make that predecessor for #166 is to unzip #166 itself. I have no clue how to make the predecessor for #140.

Full synthesis of #150 from 32 gliders:

Code: Select all

``````x = 168, y = 56, rule = B3/S23
146bo8bobo\$145bo9boo\$145b3o8bo\$143bo\$141bobo\$19bobo120boo8bo\$19boo130b
o\$20bo130b3o\$25bobo\$21boobboo73bo53boo8boo\$20bobo3bo18boo18boo18boo14b
o3boo18boo18boo7bobo7bo\$22bo21bobo17bobo17bobo12b3obbobo14boobobo14boo
bobo7bo6boobobbo\$44boo18boo18boo9b3o6boo16boboo16boboo16bob4o\$97bo24bo
19bo19bo\$80boo14bo3boo21b3o17b3o17b3o\$59bobo17bobbo16bobbobboo18bo19bo
19bo\$60boo17bobbo16bobbobbobo\$60bo19boo18boo3bo\$\$59boo42boo\$58bobo41bo
bo\$60bo43bo12\$18bobo\$18boo\$19bo\$15bo\$13bobo\$14boo7bo\$23bobo112bo\$16bo
6boo114bo12bo\$3bo11bo121b3o11bo\$4bo10b3o33boo98b3o\$bb3o45b3o\$50boobo\$
51b3o34bo\$bo45boo3bo33boo\$boo33bo11boo6bo30boo44bo\$obo31b3o10bo6b3o26b
3o5bo39bobo\$14boo17bo19bo18boo11bo5b3o18boo18boo8boo\$14bo7boo7bobbo16b
obbo16bobbo9bo9bo16bobbo26bobbo16bobo\$3b3o5boobobbo4bobo6boobobbo13boo
bobbo13boobobbo13boobobbo13boobobbo16b3o4boobobbo13boobobbo\$5bo6bob4o
4bo9bob4o14bob4o14bob4o14bob4o14bob4o18bo7b4o16b4o\$4bo7bo19bo19bo19bo
19bo19bo22bo5boo18boo\$13b3o17b3o17b3o17b3o17b3o17b3o25bob3o15bob3o\$15b
o19bo19bo19bo19bo19bo29bo19bo!
``````
Full synthesis of #165 from 45 gliders:

Code: Select all

``````x = 160, y = 180, rule = B3/S23
102bo34bo\$100boo30bo3bo15boo\$101boo30boob3o12bobbo\$132boo17bobbo\$100bo
51boo\$99boo\$56bo18bo14bo4bo3bobo15boo18boo18boo\$55bo18bobo11bobo3bobo
18bobbo16bobbo16bobbo\$55b3o15bobbo12boobbobbo17boboo16boboo16boboo\$74b
oo18boo17bobo17bobo17bobo\$54boo57bobo17bobo17bobo\$53bobo58bo19bo19bo\$
55bo\$95boo\$94bobo3bo\$96bobboo\$99bobo15\$93bo\$92bo\$92b3o\$78bo\$79bo\$77b3o
3\$91bobo\$91boo\$92bo\$99bo\$97boo\$98boo\$69bo\$63bo6bo\$64bo3b3o\$62b3o3\$82b
oo\$81bobbo\$81bobbo\$82boo\$\$87boo\$85bobbo21boobboo14boobboo14boobboo\$84b
oboo22bobbobbo13bobbobbo13bobbobbo\$83bobo26booboo15booboo15booboo\$83bo
bo27bobo17bobo17bobo\$84bo28bobo17bobo17bobo\$114bo19bo19bo3\$101boo\$100b
oo\$102bo\$\$65b3o5bo\$67bo5boo\$66bo5bobo4\$84bobo\$84boo\$85bo\$\$84boo27boo
18boo18boo\$84bobo26boo18boo18boo\$84bo\$131boo\$130bobo\$132bo12\$145bo\$
132bo12bobo\$133bo11boo\$131b3o6bo\$138boo\$139boo\$\$141bo\$140boo\$140bobo\$
156bo\$30boobboo5bo3bo24boobboo14boobboo14boobboo14boobboo14boobb3o\$30b
obbobbo5boobobo22bobbobboboo10bobbobboboo10bobbobboboo10bobbobboboo10b
obbo\$32booboo4boobboo25boobooboo12boobooboo12boobooboo12boobooboo4boo
6booboo\$33bobo37bobo17bobo17bobo17bobo8bobo6bobo\$33bobo37bobo17bobo17b
obo17bobo8bo8bobo\$34bo39bo19bo19bo19bo19bo\$117boo18boo\$97b3o17boo18boo
\$97bo44b3o\$98bo43bo\$94b3o46bo\$96bo\$95bo4\$61b3o\$61bo\$62bo7\$61bo38bobo\$
61bobo36boo\$61boo38bobb3o\$104bo\$16bo19bo19bo4bo14bo3boo14bo3boo3bo10bo
19bo19bo\$10boobb3o13boobb3o13boobb3o3boo8boobb3obbobbo7boobb3obbobbo7b
oobb3o13boobb3o13boobb3o\$10bobbo16bobbo16bobbo6bobo7bobbo5bobbo7bobbo
5bobbo7bobbo16bobbo16bobbo\$12booboo15booboo15booboo15booboo3boo10boob
oo3boo10booboo15booboo15booboo\$13bobo17boboo16boboo16boboo16boboo16bob
obo15bobobo15bobobo\$13bobo17bo19bo19bo19bo7bo11bobbo16bobbo16bobbo\$14b
o17boo18boo18boo18boo6boo10boo18boo18boo\$9bobo88bobo\$10boo5boo138boo\$
10bo5boo80bo38boo17bobbo\$18bo79boo38boob3o12bobbo\$8boo87bobo37bo3bo15b
oo\$8bobo131bo\$8bo11\$58bo\$56bobo\$57boo\$139bo\$59bo80boo\$59bobob3o16boo
18boo35boo\$16bo19bo19bobboobbo12bo4bobo12bo4bobo12bo19bo5b3o\$10boobb3o
13boobb3o13boobb3o7bo5boobb3o5bo7boobb3o5bo7boobb3o13boobb3o5bo7boobb
oo\$10bobbo16bobbo16bobbo16bobbo16bobbo10b3o3bobbo16bobbo9bo6bobbobbo\$
12booboo15booboo15booboo15booboo15booboo7bo7booboo15booboo15booboo\$13b
obobo15bobobo15bobobobboo11bobobo15bobobo7bo7bobobo15bobo17bobo\$obo10b
obbo7bo8bobbo16bobbobboo12bobbo16bobbo16bobbo16bobbo16bobbo\$boo3bobo3b
oo9bo10boo18boo5bo12boo18boo18boo18boo18boo\$bo5boo14b3o\$7bo9boo\$5bo10b
obbo\$5boo9bobbo\$4bobo3b3o4boo\$12bo\$11bo!
``````
Sokwe wrote:Here's an improvement as well as a solution to the related #165 from a 17-bitter not on the list:
That one is not on the list, because it already has a 10-glider synthesis (so predecessor-plus-10-gliders is much more expensive):

Code: Select all

``````x = 106, y = 17, rule = B3/S23
5boo\$4boo15booboo15booboo15booboo15booboo15booboo\$boo3bo13bobobobo13bo
bobobo13bobobobo13bobobobo13bobobo\$obo18bo3bo15bo3bo14bobobbo14bobobbo
14bo4bo\$bbo58boo18boo18b4o\$86boo4bo9bo\$7boo28bo47bobobboo8bo\$6boo29boo
48bo3boo7boo\$8bo27bobo39b3o\$80bo\$39b3o37bo\$39bo42b3o\$40bo41bo\$83bo\$79b
3o\$81bo\$80bo!
``````
Sokwe wrote:Here are some other ways to achieve this reaction:
I can't recall if there are any others, but the only one I could find for this takes 6 gliders, so your 2-glider and 3-glider converters are great improvements.

Incomplete synthesis of #266 (Super-loaf). The snakes on loaf are easy, but the two additional bits aren't:

Code: Select all

``````x = 75, y = 22, rule = B3/S23
54bo\$52boo\$53boo\$\$10boo18boo12bobo3boo\$11bo19bo13boo4bo\$10bo19bo14bo4b
o\$5bo4boo18boo18boo7bobo8boo\$3bobo6bo12boo5bo12boo5bo6boo8bobbo\$4boo4b
oobo11boo3boobo11boo3boobo6bo7boboobo\$boo6bobboboboo11bobboboboo11bobb
oboboo11bobbobo\$obo7boboboobo12boboboobo12boboboobo12bobobo\$bbo8bo19bo
19bo19bobo\$72bo\$\$32boo18boobboo\$12b3o17boo18booboo\$12bo44bo\$13bo\$9b3o\$
11bo\$10bo!
``````
Incomplete synthesis of #188 that relies on still-incomplete #266. I realized later that exactly the same mechanism yields an incomplete #188 from still-incomplete #187, using 9 gliders, rather than the previous method that took 19:

Code: Select all

``````x = 98, y = 67, rule = B3/S23
21bo\$bbo16boo\$obo17boo\$boo5bo\$6bobo14bo\$7boo13bo38boo\$22b3o10boo25boob
oo\$35bobo23bo3bobo\$36bo29bo3\$4bo29boo28boo\$bbobo9bo19boo28boo\$3boo8bob
o7bobo17boo28boo18boo\$12bobobo6boo17bobo27bobo17bobo\$5b3o3bobbobo7bo
16bobboboo23bobboboo13bobboboo\$7bobboboobo24boboobobo22boboobobo12bob
oobobo\$6bo4bobbo26bobbo26bobbo16bobbo\$12boo28boo28boo18boo\$22b3o\$22bo\$
23bo3\$26boo\$26bobo\$26bo14\$21bo\$bbo16boo\$obo17boo\$boo5bo\$6bobo14bo\$7boo
13bo38bo\$22b3o10boo25booboo\$35bobo23boobbobo\$36bo29bo3\$4bo29boo28boo\$
bbobo9bo19boo28boo\$3boo8bobo7bobo17boo28boo18boo\$12bobobo6boo17bobo27b
obo17bobo\$5b3o4bobobo7bo17boboboo24boboboo14boboboo\$7bo3boobbo25boobbo
bo23boobbobo13boobbobo\$6bo5bo29bo29bo19bo\$12bobo27bobo27bobo17bobo\$13b
oo7b3o18boo28boo18boo\$22bo\$23bo3\$26boo\$26bobo\$26bo!
``````
The sudden-pre-block adder gives us a few additional syntheses: complete #366 and its cousin from #163, an incomplete #215 from also-incomplete #303, incomplete #228 from also-incomplete #266, and incomplete #316 from still-unknown #217 (from last month, but I don't think I posted it). Also, #228 can also be built much more cheaply from still-unknown #340:

Code: Select all

``````x = 118, y = 148, rule = B3/S23
47bobo\$46bo\$46bo3bo\$46bo6bo\$46bobboboo\$46b3o3boo3\$51bo3boo\$49boo3boob
3o\$50boo3b5o\$56b3o\$\$9bo\$8bo19bo19bo\$8b3o16bobo17bobo4bobo\$27bobo17bobo
4boo20boo18boo18boo\$3boo6b3o9boo3bo14boo3bo6bo17boobbo15boobbo15boobbo
\$bbobbo5bo10bobbo16bobbo26bobboo15bobboo15bobboo\$bbobobo5bo9bobobo15bo
bobo25bobo17bobo17bobo\$boobobo14boobobo14boobobo24boobo16boobo16boobo\$
obbobo14bobbobo14bobbobo5boo17bobbo16bobbo16bobbo\$oobbo15boobbo15boobb
o6bobo16boo18boo19boo\$51bo\$86boo\$49bo35bobo\$48boo37bo\$48bobo38b3o\$89bo
\$90bo11\$47bobo\$46bo\$46bo3bo\$46bo6bo\$46bobboboo\$46b3o3boo3\$51bo3boo\$49b
oo3boob3o\$50boo3b5o\$56b3o\$\$9bo\$8bo19bo19bo\$8b3o16bobo17bobo4bobo\$oo18b
oo5bobo10boo5bobo4boo14boo4boo\$obboo6b3o6bobboo3bo11bobboo3bo6bo14bobb
oobbo\$boobbo5bo9boobbo15boobbo25boobboo\$bbobobo5bo9bobobo15bobobo25bob
o\$bbobobo15bobobo15bobobo25bobo\$3bobo17bobo17bobo5boo20bo\$4bo19bo19bo
6bobo\$51bo\$\$49bo\$48boo\$48bobo13\$47bobo\$46bo\$46bo3bo\$46bo6bo\$46bobboboo
\$46b3o3boo3\$51bo3boo\$49boo3boob3o\$50boo3b5o24bo5bo8bo4bo\$56b3o23bobo6b
oo4boo5bobo\$83boo5boo6boo4boo\$9bo76boo\$8bo19bo19bo36bobo\$8b3o16bobo17b
obo4bobo30bo6boo5boo\$bboo18boo3bobo12boo3bobo4boo16boobboo15bobbo4bobo
8boobboo\$bobbo6b3o7bobbo3bo12bobbo3bo6bo15bobbobbo13bobbobbo3bo9bobbo
bbo\$oboobo5bo8boboobo14boboobo24bobooboo13bobooboo13bobooboo\$bobbobo5b
o8bobbobo14bobbobo24bobbo16bobbo16bobbo\$bbobobo15bobobo15bobobo25bobo
17bobo17bobo\$3bobo17bobo17bobo5boo20bo19bo19bo\$4bo19bo19bo6bobo\$51bo\$\$
49bo\$48boo\$48bobo13\$47bobo\$46bo\$46bo3bo\$46bo6bo\$46bobboboo\$46b3o3boo3\$
51bo3boo\$49boo3boob3o\$50boo3b5o\$56b3o\$\$9bo\$8bo19bo19bo\$boo5b3o10boo4bo
bo11boo4bobo4bobo14boo\$bobo17bobo3bobo11bobo3bobo4boo15bobobboo\$4bo6b
3o10bo3bo15bo3bo6bo18bobbo\$bboobo5bo10boobo16boobo26booboo\$bobbobo5bo
8bobbobo14bobbobo24bobbo\$bbobobo15bobobo15bobobo25bobo\$3bobo17bobo17bo
bo5boo20bo\$4bo19bo19bo6bobo\$51bo\$\$49bo\$48boo\$48bobo!
``````
#358 from 35 gliders:

Code: Select all

``````x = 162, y = 68, rule = B3/S23
138bo\$137bo10bo\$88bo3bo44b3o8bobo\$46bo39boo3bo43bo12boo\$47boo38boobb3o
39bobo\$46boo86boo\$79bo\$77bobo\$78boo\$105bo21boo29boo\$58b3o8bo19bo10bo3b
o12bobboo6boo7bobboo15bobbo\$58bo8b3o17b3o11boob3o9bobobbo5bo8bobobbo
14bobobbo\$59bo6bo19bo13boo14bob3o15bob3o15bob3o\$67bo19bo29bo19bo19bo\$
68bo19bo8boo19bo19bo19bo\$40boobboo21boo18boo7boo19boo18boo18boo\$41boob
obo51bo\$40bo3bo4\$53boo\$53bobo\$53bo15\$92bobo\$92boo\$93bo\$87bo\$85bobo10bo
\$86boo8boo\$97boo\$\$89bo\$87bobo\$88boo24boo18boo11bo6boo\$8boo18boo18boo
18boo8boo18boo15bobboo15bobboo7bobo5bobboo\$7bobbo16bobbo16bobbo16bobbo
5bo4bo15bobbo14bobobbo14bobobbo6boo6bobobbo\$6bobobbo14bobobbo14bobobbo
14bobobbo10bo13bobobbo14bobobbo14bobobbo14bobobbo\$6bob3o15bob3o15bob3o
15bob3o5bo5bo13bob3o17b3o17b3o17b3o\$7bo19bo19bo19bo9b6o6boo6bo19bo19bo
19bo\$8bo19bo19bo19b3o17bobo7b3o17b3o17b3o4bo11boo\$7boo20bo19bo20bo19bo
9bo19bo12bo6bo3boo\$28boo18boo42b3o36bobo10bobo\$14bobo40boo33bo39boo\$
14boo37boobbobo33bo41boo\$15bo38boobo78boo\$53bo7boo72bo\$3o12boo44bobo\$
bbo12bobo23bo19bo\$bo9bo3bo25boo47boo\$11boo27bobo46bobo\$10bobo78bo8b3o\$
100bo\$101bo!
``````
#157 from 26 gliders, using a slightly altered hat-to-loop converter:

Code: Select all

``````x = 158, y = 27, rule = B3/S23
129bo\$127bobo\$128boo\$131bobo\$131boo\$132bo3bobo\$124boo10boo\$123b4o4bo5b
o\$123booboobobo\$48bobo74boo3boo\$44bo3boo\$34boo9boobbo4boo18boo18boo18b
oo18boo18boo\$20bo13bobo7boo8bobo17bobo17bobo17bobo12bo4bobo17bobo\$11bo
6boo12boobbo15boobbo15boobbo15boobbo15boobbo10bobobboobbo15boobbo\$11bo
bo5boo10bobobo15bobobo17bobo17bobo17bobo12boo3bobo17bobo\$7boobboo18bob
oboo4b3o7boboboo16boboo16boboo16boboo16boboo15bobboo\$7bobo22bo10bo8bo
9bo11bobbo16bobbo16bobbo16bobbo15boobbo\$bbo4bo34bo3boo14bobo10boo18boo
19boo9bobo6boo18boo\$obo42bobo14boo64boo\$boo44bo10boo26bo41bo\$57boo6boo
20bo43b3o\$59bo4boo19b3o45bo\$66bo22boo41bo\$53boo33bobo3bo\$54boo4boo28bo
3bobo\$53bo5boo33boo\$61bo!
``````
I just optimized some syntheses of two naturally-occuring P2 oscillators (see Oscillator Synthesis thread), and noticed that another oscillators in the same group had a predecessor among the listed 17s. So here is #260 from 19 gliders, from last May:

Code: Select all

``````x = 168, y = 24, rule = B3/S23
53bo\$53bobo\$53boo54bo\$109bobo\$52bo56boo\$50bobo54bo\$51boo52bobo\$106boo\$
45bo15bo\$46bo13bo47bo\$44b3o13b3o43boo\$23bo29bo53boo\$22bobo27bobo28bo
19bo19bo19bo19bo\$boobb3o14bobo27bobo27bobo17bobo17bobo17bobo17bobo\$obo
bbo17bo29bo28bobo17bobo4bo12bobo17bobo8bo8bobo\$bbo3bo74booboo15booboob
oo12booboo15booboo5boo8booboboo\$23bo29bo28bobo17bobo3boo12bobo17bobo3b
oobboo8bobobbo\$3boo17bobo12boo5b3o5bobo5b3o5boo12bobo17bobo17bobbo16bo
bbobbobo11bobbo\$3bobo17bo14boo6bo6bo6bo6boo14bo19bo19boo18boo3bo14boo\$
3bo33bo7bo15bo7bo38bo\$108bobo\$105bobboo\$104boo\$104bobo!
``````
Extrementhusiast wrote:#260 from a 12-bitter, in a similar style to #336:
While it's more expensive in this particular case, I'm sure the #336 mechanism will ultimately come in quite useful for other larger objects. I've had little success in doing much with spark coils. One thing I have tried to do (without success) is to lengthen one end - i.e. turn a spark coil into a piston, or a double piston into a triple piston, etc. (At present, even-sized pistons are buildable, but odd ones are not.) If such a method could be devised, one could even build a piston-extruding wick-stretcher (which someone suggested earlier on another thread).

#264 from 69 gliders, based on Dave Buckingham's synthesis of the super-pond (15.355). This can likely be improved, especially steps 4-8, which close and then re-open the exterior (prior to it being finally closed again at the end) just to make a minor tweak:

Code: Select all

``````x = 193, y = 150, rule = B3/S23
129bobo\$89bo40boo\$89bobo38bo\$45bo43boo\$43bobo\$44boo5bo15boo18boo\$50bo
16boo18boo47bo\$50b3o82bo\$135b3o\$8bo5bo39bobo11boo18boo18boo18boo19boo
18boo18boo\$9boobbo40boo11bobbo16bobbo16bobbo16bobbo7boo8bobbo16bobbo
16bobbo\$bbobo3boo3b3o10boboo16boboo5bo10boboo16boboo16boboo16boboo8bob
o6boboobo14boboobo14boboobo\$3boo19b3obo15b3obo15b3obo15b3obo15b3obo15b
3obo9bo6b3obobbo12b3obobbo12b3obobbo\$3bo19bo6bo12bo6bo5boo5bo6bo12bo6b
o12bo6bo12bo6bo13bo5boo12bo5boo12bo5boo\$17boo4boo4boo12boo4boo4boo6boo
4boo12boo4boo12boo4boo12boo4boo13boo18boo18boo\$3o14bobo37bo\$bbo14bo
169boo\$bo165boo17bobbo\$7b3o158boob3o12bobbo\$9bo157bo3bo15boo\$8bo163bo\$
137b3o\$137bo\$138bo13\$65bo\$63bobo\$64boo3\$168bo\$169boo\$168boo\$179bo\$177b
oo\$178boo3\$79boo28boo18boo18boo18boo18boo\$78bobbo26bobbo16bobbo16bobbo
16bobbo16bobbo\$77boboobo24boboobo14boboobo14boboobo14boboobo6bo7boboo\$
75b3obobbo24bobobbo14bobobbo14bobobbo14bobobbo4boo8bobo\$74bo5boo26bobb
o16bobbo16bobbo16bobbo6boo8bobbo\$64bo9boo33boo18boo18boo18boo18b3o\$64b
oo27bo86bo\$63bobo11boo14bobo29bo23boo18boo9boo7b3o\$76bobbo9bo3boo31boo
20bobo17bobo8bobo6bobbo\$76bobbo8bo36boo21boo18boo19boo\$77boo9b3o39boo\$
121b3o5bobobo\$89bo33bo7bobobo43bo\$88boo32bo10boo43boo\$88bobo87bobo\$
170b3o\$170bo\$161bo9bo\$89bo71boo\$88boo70bobo\$73boo13bobo\$74boo\$73bo10\$
48boo\$44bo3bobo\$42bobo3bo\$43boo75bo\$39b3o76bobo\$41bo77boo3bobo\$40bo75b
oo6boo\$115bobo7bo\$9boo18boo18boo19boo5bobo10boo18boo5bo12boo15bobboo
15bobboo15bobboo\$8bobbo16bobbo16bobbo16bobbo6boo8bobbo15boobbo15boobbo
14bobobbo14bobobbo14bobobbo\$7boboo16boboo16boboo16boboo7bo8boboo16bob
oo10bo5boboo16boboo16boboo16boboo\$7bobo17bobo17bobo17bobo17bobo19bo12b
oo5bo19bo19bo19bo\$8bobbo16bobbo16bobbo16bobbo9bobo4bobbo16bobbo9boo5bo
bbo16bobbo16bobbo16bobbo\$9b3o17b3o17b3o17b3o10boo5b3o17b3o17b3o17b3o
17b3o17b3o\$82bo40bo\$9b3o3bo13b3o17b3o17b3o8bo8b3o17b3o11boo4b3o17b3o
17b3o17b3o\$8bobbobbo13bobbo16bobbo16bobbo8boo6bobbo16bobbo10bobo3bobbo
16bobbo16bobbo16bobbo\$9boo3b3o11boo18boo18boo9bobo6boo18boo18boo18boo
18boo17bobo\$164bo9bo13bo\$12boo151boo5boo\$12bobo149boo7boo\$12bo\$172bo\$
171boo\$163b3o5bobo\$163bo\$164bo12\$128bo\$127bo10bo31bobo\$127b3o8bobo30b
oo\$125bo12boo31bo\$123bobo\$124boo\$\$157bobo17bo\$158boo16bo\$117boo29boo8b
o9boo6b3o9boo\$7bobboo15bobboo15bobboo15bobboo15bobboo15bobboo6boo7bobb
oo15bobbo16bobbo16bobbo\$6bobobbo14bobobbo14bobobbo14bobobbo14bobobbo
14bobobbo5bo8bobobbo14bobobbo14bobobbo7boo5bobobbo\$7boboo16boboo16bob
oo16boboo16boboo16boboo16boboo16boboo16boboo8bobo5boboobo\$9bo19bo19bo
19bo19bo19bo19bo19bo6boo11bo9bo9bobbo\$8bobbo16bobbo16bobbo16bobbo16bo
bbo16bobbo16bobbo16bobbo3bobo10bobbo16bobbo\$9b3o17b3o17b3o17b3o17b3o
17b3o17b3o17b3o5bo11b3o17boo\$\$9b3o17b3o17b3o15b5o15b5o7bo7b3o17b3o17b
3o9bo7b3o\$8bobbo16bobbo16bobbo14bo4bo14bo4bo7bobo4bobbo16bobbo16bobbo
9boo5bobbo\$7bobo17bobo17bobo16bobo17bobo10boo5boo18boo18boo10bobo5boo\$
8bo17bobo13b3obobo18boo18boo\$3bo23bo16bobbo48b3o\$4boo37bo52bo81b3o\$3b
oobboo88bo80bo\$6bobo170bo\$8bo166boo\$175bobo\$94boo79bo\$93boo68bo\$95bo
67boo\$162bobo!
``````
Sokwe wrote:A predecessor of #157 from two probably unsynthesized 8-bitters:
I presume you mean 18-bitters. While I don't know any syntheses for these, they are likely to be easier than similar 17s, since the core is a common honeyfarm predecessor.

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

### Re: 17-bit SL Syntheses

mniemiec wrote:Full synthesis of #165 from 45 gliders
One of the steps in the last row doesn't seem to accomplish anything. It's easy to correct, however:

Code: Select all

``````x = 17, y = 17, rule = B3/S23
11bo\$10bo\$10b3o\$8bo\$6bobo\$7b2o2\$10bo\$10bobo\$6bo3b2o\$2o2b3o\$o2bo10b3o\$
2b2ob2o7bo\$3bobobo7bo\$3bo2bo4b2o\$4b2o5bobo\$11bo!``````
-Matthias Merzenich

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

### Re: 17-bit SL Syntheses

Possible step for #134 and final step for #158:

Code: Select all

``````x = 74, y = 26, rule = B3/S23
26bobo\$o25b2o42bo\$b2o24bo32bo9bobo\$2o57bo10b2o\$59b3o\$9bo12bobo32bo\$7bo
bo12b2o31bobo\$8b2o5b3o5bo32b2o2\$10b2o60b2o\$4b2o3bo2bo58b2o\$5b2o3b2o8b
2o51bo\$4bo10b2o3b2o35b2ob2o\$15bobo12bo26b2obobo6b2o\$18bo5bo5bobo28bobo
5bobo\$8b2o3b4obo5bobo3b2o25b4o2bo5bo\$7bo2bo2bo2bob2o4b2o31bo2bobo\$b2o
5b2o51bo\$obo\$2bo23b2o\$26bobo\$9b3o14bo\$11bo\$10bo7bo\$17b2o\$17bobo!
``````
EDIT: One of the previously-used steps indeed solves #158 from a trivial 18-bit variant of a 17-bitter not on the list:

Code: Select all

``````x = 59, y = 26, rule = B3/S23
40bo\$30bo9bobo\$4bobo22bo10b2o\$5b2o22b3o\$5bo21bo\$25bobo\$26b2o2\$11bo30b
2o\$10bo30b2o\$10b3o30bo\$2ob2o22b2ob2o20b2o\$2obobo7b2o12b2obobo6b2o11b2o
2b2o\$4bo8bobo15bobo5bobo14bobo\$4o9bo13b4o2bo5bo12b4o2bo\$o2bobo21bo2bob
o19bo2bobo\$4b2o25bo24bo7\$12b3o\$12bo\$13bo!
``````
I Like My Heisenburps! (and others)

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

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:Possible step for #134
That's certainly enough to complete #134:

Code: Select all

``````x = 94, y = 45, rule = B3/S23
53bo\$53bobo\$53b2o3\$30bo19bobo\$28bobo19b2o\$29b2o20bo9\$6bob2o36bob2o36bo
b2o\$6b2obo36b2obo36b2obo\$10b2o38b2o38b2o\$6b3obobo33b3obobo32bob2obobo\$
5bo2bobobo32bo2bobobo6bo25b2obobobo\$5b2o4bo34b2o3bo5b2o32bo\$58b2o2b2o\$
b2o59bobo26b2o\$obo23b2o34bo28bobo\$2bo22bobo63bo\$4b3o20bo\$4bo\$5bo40bo\$
32b2o11bo15b3o\$31bobo11b3o13bo\$33bo28bo3\$34b2o19b3o\$33bobo19bo\$35bo20b
o\$62b2o\$62bobo\$42b2o18bo\$41bobo\$43bo\$59b2o\$59bobo\$59bo!``````
Edit: #296 from a constructable 17-bit still life:

Code: Select all

``````x = 37, y = 21, rule = B3/S23
17bobo\$18b2o\$10bo7bo17bo\$11b2o21b2o\$10b2o23b2o9\$23b2o\$3o2b2o17bo\$2bob
2o15b3o\$bo4bo13bo\$21b5o\$22bo2bo\$20bo\$20b2o!``````
-Matthias Merzenich

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

### Re: 17-bit SL Syntheses

#382 from two eaters:

Code: Select all

``````x = 95, y = 29, rule = B3/S23
bo\$2bo\$3o8bo\$9b2o\$10b2o2\$13bo\$12b2o37bo\$12bobo2bobo29bobo\$3b3o11b2o31b
2o\$5bo12bo\$4bo3b2o28b2o8b2o14b2o20b2o\$8bo29bo5bo3bobo13bo21bo\$9b3o27b
3obobo2bo16b3obo2bo14b3obo2bo\$11bo29bob2o22bob4o16bob4o\$42bo25bo21bo\$
13b2o5b3o20b2o24b2o21bo\$14bo5bo23bo16bo8bo20b2o\$14bobo4bo22bobo12bobo
8bobo\$15b2o28b2o13b2o9b2o2\$62b3o\$64bo\$63bo3\$64b2o\$65b2o\$64bo!
``````
EDIT: #235 from a 16-bitter:

Code: Select all

``````x = 17, y = 22, rule = B3/S23
bo\$2bo\$3o\$15bo\$14bo\$14b3o\$12bo\$13bo\$5bo5b3o\$6bo\$4b3o\$13bobo\$13b2o\$14bo
\$6b2o\$6bobo\$7bo\$b2o7b2obob2o\$2b2o4bo2bob2obo\$bo6b2obo\$11bo\$11b2o!
``````
EDIT 2: Key step for #266:

Code: Select all

``````x = 26, y = 26, rule = B3/S23
5bo\$4bo\$o3b3o\$b2o7bo9bo\$2o6b2o9bo\$9b2o8b3o4\$14b2o\$13bo2bo\$9b2o3bobo\$8b
o2bo3bo\$8b4o\$12b2o\$8b2o2bobo5bobo\$7bo2bobobo5b2o\$8bobob2o7bo\$9bo\$23bo\$
23bobo\$23b2o2\$22bo\$21b2o\$21bobo!
``````
EDIT 3: #357 from a 15-bitter:

Code: Select all

``````x = 25, y = 24, rule = B3/S23
19bo\$18bo\$18b3o5\$5b2o\$6bo2bo\$6bobobo\$7bobobo\$9bobo11bo\$2bo5bobo11b2o\$o
bo6bo12bobo\$b2o2\$19b2o\$19bobo\$7b2o10bo\$6bobo\$8bo\$10b3o\$10bo\$11bo!
``````
EDIT 4: Possible predecessor for #217:

Code: Select all

``````x = 48, y = 42, rule = B3/S23
20bo\$21bo\$19b3o2\$39bo\$24bo12b2o\$23bo14b2o\$23b3o\$13bo\$2bo8bobo\$obo9b2o
28bo\$b2o37b2o\$41b2o4\$21b2ob2o\$21b2obobo3b2o\$26bo3bo\$26bobobo\$27b2o2b2o
\$13bo15b2o2bo\$11bobo15bo2b2o\$12b2o3bo12bobo\$18bo10b2obo11bo\$16b3o13bob
2o7b2o\$32bo2bo7bobo\$17bo15b2o\$17b2o\$16bobo6\$16b2o18b2o7b2o\$17b2o17bobo
6bobo\$16bo19bo8bo2\$30b2o\$30bobo\$30bo!
``````
However, this might be even harder to synthesize than the target.
I Like My Heisenburps! (and others)

mniemiec
Posts: 1181
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Sokwe wrote:A predecessor of #157 from two probably unsynthesized 8-bitters:
Oops! I hadn't noticed, at the time, that this was one of the ones I had synthesized during that batch, rendering the search for syntheses for those 18s unnecessary.
Sokwe wrote:A predecessor of #219 from a probably unsynthesized 21-bitter:
It occurred to me that the 21 might be hard to make, but #219 could be made instead from one of the hard 16s (see your synthesis of #274), whose arm could be flipped up into a feather. I decided to try the sudden-pre-block mechanism to do the top part of it, and surprisingly, this also just happens to do the bottom half as well, leaving only a blinker to clean up! Unfortunately, the resulting still-life has a tub at the bottom, rather than just an eater tail, and I haven't been able to remove it:

Code: Select all

``````x = 50, y = 24, rule = B3/S23
10bobo\$13bo\$9bo3bo\$6bo6bo\$7boobobbo\$6boo3b3o3\$3boo3bo\$3oboo3boo\$5o3boo
\$b3o3\$11bo\$3bobo4bobo\$4boo4bobo3bo25boobbo\$4bo6bo3bobo24bobbobo\$15bobo
25bobobo\$13booboboo24boboboo\$13bobbobbo16b3o7bobbo\$7boo6bobo27bobo\$6bo
bo7bo29bo\$8bo!
``````
Extrementhusiast wrote:#276 from a 15-bitter:
This is quite an impressive synthesis! I especially like the almost-square piece in the middle! Your second step shows a bun on the left. Converting and moving the wing down must go through several bookends first, so the last step in getting this bun takes 2 gliders, and you later show the bun flipped back into a bookend, costing another two. If the initial bookend is left in place, and is just flipped later, this only takes 3, saving 1 step and 1 glider, for a total of 105 gliders.
Extrementhusiast wrote:#336 from a trans boat on cap:
This can use a 2-glider bit-spark, reducing it by 1 glider (and similarly for your #260 synthesis):

Code: Select all

``````x = 49, y = 15, rule = B3/S23
19bo\$20bo\$5bo12b3o3bo\$6bo6boo7boo13boo4boo\$4b3o5bobo8boo12bobobbobobb
oo\$3o9boboboo21bobbobobobo\$bbo5bo4boobobo18bobobbobobbo\$bo7bo7bo19boo
4boo\$7b3o4\$11boo\$12boo\$11bo!
``````
Extrementhusiast wrote:Finally solved #269 from a 17-bitter not on the list:
If you use one blinker, rather than two inducting ones, it saves one glider, and doesn't leave a debris block, saving one more during cleanup:

Code: Select all

``````x = 45, y = 27, rule = B3/S23
15bo\$16boo\$o14boo\$boo5bo\$oo7boo\$8boo\$27bo\$26bo\$5bobo18b3o\$6boo\$6bo22b
oo\$19boo8bobo\$18bobo8bo\$19bo\$40boo\$20bo18bobo\$16booboboboo14boboboo\$
16boboobobo14boobobo\$20bobbo16bobbo\$20bobo17bobo\$21bo19bo4\$5bo\$5boo\$4b
obo!
``````
mniemiec wrote:Full synthesis of #165 from 45 gliders:
Sokwe wrote:One of the steps in the last row doesn't seem to accomplish anything. It's easy to correct, however:
Oops! I don't know how I missed that. I usually re-run all the syntheses before I post them, to make sure all the "before" and "after" images match, but sometimes miss cases where "step n after" and "step n+1 before" don't!

Extrementhusiast wrote:Key step for #266:
I always got bogged down by both sides forming lines-of-four that joined, preventing the formation of the diagonal bits. It never occurred to me to LET them join (e.g. by building tables) and then breaking them junction later. This predecessor for #266 is obsoleted by my other synthesis (see below), but this still-life is still good to have around per se.

And now for new stuff:

#296 from 20 gliders, based on a 15 plus a new less obtrusive 5-glider hat double-extender. Matthias actually developed a method to build one of the 16s using a similar technique (using 14 gliders in 5 steps), so this one was also technically buildable from that. This also improves that synthesis by 9 gliders:

Code: Select all

``````x = 93, y = 36, rule = B3/S23
14bo\$8bo6boo\$9boo3boo\$8boo4\$12bo\$10bobo13bo\$11boo13bobo\$26boo\$3bobo\$4b
oo\$4bo27b3o\$32bo\$33bo14boo18boo6bo11boo\$49bo19bo6bobo10bo\$49boboo16bob
oo3boo11boboo\$48boobo16boobo16boobo\$46bobbobo14bobbobo8bo5bobbobbo\$46b
oobbo15boobbo9bobo3boobbobo\$74bo5boo9bo\$27boo45bobo\$14bo11boo46boo\$14b
oo12bo\$7boo4bobo61boo\$6bobo64boobbobo\$8bo65boobo\$bo28b3o40bo\$boo17boo
8bo\$obo16bobo9bo\$21bo\$4b3o16b3o\$6bo16bo10boo\$5bo18bo9bobo\$34bo!
``````
#266 from 40 gliders. As mentioned previously, this also gives us #188 from 50 gliders and #228 from 53 gliders:

Code: Select all

``````x = 160, y = 87, rule = B3/S23
94bo\$95boo46bobo\$94boo47boo\$144bo\$100bo34bobo\$98boo36boo\$95bo3boo35bo\$
96boo45bo\$95boo44boo\$142boo\$\$30boo18boo5bo12boo18boo18boo3boo13boo3boo
13boo3bo\$31bo19bo3boo14bo4bo14bo4bo14bobbobbo13bobbobbo13bobbobo\$10boo
19bobo17bobobboo13bobobobo13bobobobo13bobobobo13bobobobo13bobobo\$11boo
19boo18boo18booboo15booboo15booboo15booboo15boobobo\$10bo3boo140boo\$14b
obo125boo\$14bo123bobboo\$138boo3bo\$137bobo12\$127bo\$128boo\$127boo\$86bo\$
87bo47bo\$85b3o46bo\$89bo44b3o\$88bo\$88b3o17boo18boo\$108boo18boo\$40boo3bo
14boo3bo14boo3bo14boo3bo14boo3bo10bo13boo3bo\$41bobbobo14bobbobo14bobbo
bo14bobbobo14bobbobo7boo15bobbobo\$41bobobo15bobobobo13bobobobo13bobobo
bo13bobobobo7boo14bobobobo\$42boobobo4bo9boobobo14boobobo14boobobo14boo
bobo24boobobbo\$46boo4bobo11bo19bo19bo19bo10bo18boo\$52boo55boo18boo5boo
\$109bo19bo6bobo\$49b3o37boo16bobo17bobo\$49bo38boo17boo18boo11boo\$50bo
34boo3bo48boo\$84bobo54bo\$86bo\$123boo\$122bobo6boo\$124bo6bobo\$131bo\$\$
126boo\$125bobo\$127bo5\$98bo\$96boo\$97boo\$\$97bo\$92bo3boo\$oo3bo14boo3bo14b
oo3bo14boo3bo14boo3bo4bobo3bobo16bo11bo7bo19bo\$bobbobo14bobbobo14bobbo
bo14bobbobo14bobbobo4boo21bobo11bo5bobo17bobo\$bobobobo13bobobobo13bobo
bobo13bobobobo13bobobobo25bobobo8b3o4bobobo15bobobo\$bboobobbo13boobobb
o13boobobbo13boobobbo13boobobbo24bobobbo14bobobbo14bobobbo\$6boo18boo
18boo5bo12boo4bo13boo4bo16boo3boboobo9boo3boboobo14boboobo\$52bo18bobo
5bo11bobo15boo4bobbo10boo4bobbo16bobbo\$11bo14boo18boo4b3o11boobbobbo5b
oo5boobbobbo22boo18boo18boo\$9boo15bobo17bobo17bobobboo5bobo5bobobboo\$
10boo15bo19bo3boo14bo19bo28boo18boo\$5boo43bobo29boo31bobbobbo13bobbobb
o\$3bobobo44bo30boo4bo25bobo3bo13bobo3bo\$bobobo76bo6boo25bo4bo14bo4bo\$
bboo84bobo\$80bo51b3o4boo\$80boo52bo5boo\$79bobo51bo5bo!
``````
#194 from 47 gliders, based on a 41-glider 16 plus a less-obtrusive eater-to-gull converter. I have seen this mechanism used frequently to add hooks to other forming things, but I don't recall ever seeing it used as an eater-to-gull converter before:

Code: Select all

``````x = 127, y = 128, rule = B3/S23
54boo\$53boo\$49bobo3bo\$50boo\$50bo\$73boo28boo18boo\$46bo27bo29bo19bo\$13bo
33boo24bo29bo19bo\$11boo33boo24bo29bo19bo\$12boo20bo19bo17bobo27bobo17bo
bo\$33bobo17bobo17bobo14bo12bobo17bobo\$11bo3boo17bobo17bobo17bobo11bobo
13bobo11boo4bobo\$11booboo19bo19bo19bo13boo14bo11bobo5bo\$10bobo3bo27boo
72bo\$43bobo\$45bo7bo\$52boo\$52bobo35boo\$89bobo\$91bo\$\$92boo\$92bobo\$92bo
14\$23bobo\$8bo14boo\$9bo14bo\$7b3o54bo42bo\$12bo52boo41bo\$13boo49boo40b3o\$
12boo54bo41bo\$58bobo6boo41bobo\$23boo18boo14boobboobbobo40boo\$b3o20bo
19bo14bo4bo49bo\$5o18bo19bo12bo6bo17boo18boo11bobo4boo\$3oboo16bo19bo13b
oo4bo19bo19bo11boo6bo\$3boo17bobo17bobo10bobo4bobo17bobo17bobo17bobo\$
23bobo14boobobo14boobobo14boobobo14boobobo14boobobo\$18boo4bobo5bo6bobo
bobbo12bobobobbo12bobobobbo12bobobobbo12bobobobo\$17bobo5bo6bobo5bo3bob
o13bo3bobo13bo3bobo13bo3bobo13bo3bo\$18bo13boo11bo19bo19bo19bo4\$26boo\$
26bobo\$12bo13bo\$12boo8b3o88boo\$11bobo10bo88bobo\$23bo89bo6\$14b3o\$14bobb
o\$14bo\$14bo3bo\$14bo3bo\$14bo\$15bobo13\$11boo18boo18boo18boo28boo18boo\$
12bo19bo19bo19bo29bo19bo\$12bobo17bobo17bobo17bobo27bobo17bobo\$10boobob
o14boobobo14boobobo14boobobo24boobobo14boobobo\$9bobobobo15bobobo15bobo
bo15bobobo25bobobo15bobobo\$10bo3bo16bobbo16bobbo16bobbo13bobo10bobbo7b
o8bobbo\$30boo18boo18boo17boo3bobo3boo9bo10boo\$89bo5boo14b3o\$8b3o64boo
18bo9boo\$5bobbo46boo17bobbo15bo10bobbo\$6bobbo46boob3o12bobbo15boo9bobb
o\$4b3o48bo3bo15boo15bobo3b3o4boo\$60bo39bo\$99bo15\$14bobo35bo\$15boo36bo\$
15bo5boo18boo8b3o7boo18boo18boo18boo\$22bo12booboobbo12booboobbo15boobb
o15boobbo15boobbo\$22bobo10boobo3bobo10boobo3bobo13bo3bobo13bo3bobo13bo
3bobo\$16bo3boobobo13b3obobo13b3obobo13b3obobo13b3obobo13b3obobo\$17bo3b
obobo15bobobo15bobobo15bobobo15bobobo15bobobo\$15b3o3bobbo16bobbo16bobb
o16bobbo16bobbo19bo\$22boo18boo18boo18boo18boo\$99boo\$14b3o81bobo3boo\$
14bo85bo3bobo\$15bo88bo!
``````
#369 from 20 gliders:

Code: Select all

``````x = 170, y = 24, rule = B3/S23
66bo36bo\$67bo36boo\$22bobo7bo32b3o35boo36bo\$22boo6boo37bo41bobo25bobo\$
23bo7boo36bobo39boo27boo\$69boo29bo11bo\$15bobo80bobo21boo18boo\$16boo68b
o12boo5bo15boo18boo\$obo5bo7bo69bo8boo9bo\$boo3bobo77bo7bobo9bo15boo18b
oo18boo\$bo5boo87bo25bobo17bobo17bobo\$45bobboo15bobboo15bobboo15bobboo
15bobboo15bobboo15bobboo\$9boo17bobo13bobobbo14bobobbo14bobobbo14bobobb
o13boobobbo13boobobbo13boobobbo\$10boo16boo14bobobo15bobobo15bobobo15bo
bobo14bobbobo14bobbobo14bobbobo\$9bo19bo15bobo17bobo17bobo17bobo17bobo
17bobo17bobo\$46bo19bo10booboo4bo10booboo4bo19bo19bo19bo\$56b3ob3o14boob
oo15booboo\$10b3o45bobo\$12bo11boo31bo3bo32b3o\$11bo12bobo69bo\$24bo70bo\$
104b3o\$104bo\$105bo!
``````
#379 from 65 gliders, using Matthias's improved beehive-to-loaf converter. Much of the cos is because the converter is is one bit too close, so the snake has to be peeled back into a hook-w/tail and later put back. (This also solves 5 related derived ones not on the list - with one and/or both snakes turned into carriers.)

Code: Select all

``````x = 179, y = 141, rule = B3/S23
56bo83bo\$10bo45bobo71boobbo3boo\$11boo43boo73boobobobboo\$10boo118bo3boo
\$34boo18boo\$34boo18boo98bo\$18bo134bobo\$17bo135bobo\$3bo13b3o134bo\$4boo
9bo7bo118bo\$3boo9boo5boo119bobo\$14bobo5boo7booboboo13booboboo13boobob
oo13booboboo13booboboo13booboboo4boo7booboboo\$31bob3obo13bob3obo13bob
3obo13bob3obo13bob3obo13bob3obo13bob3obo\$142bo18boo\$35boo18boo18boo10b
o7boo18boo18boo4boo12boo3bobbo\$bo4b3o26boo18boo18boo11bo6boo18bo19bo5b
obo11bo4bobbo\$boo3bo79b3o27bo19bo19bo4boo\$obo4bo90bo16boo18boo18boo\$
18b3o77bobo\$18bo79boo\$19bo\$9b3o83bobo\$11bo84boo\$10bo85bo\$\$92boo\$91bobo
\$93bo4\$18bo\$7bo8bobo\$5bobo9boo\$6boo\$9boo3bo4bo\$8bobobboboboo45bo\$10bo
bbobobboo42boo\$14bo24bo19bo3boo\$21bobo14bobo17bobo\$21boobb3o10boo18boo
5b3o\$11booboboo4bobbo5booboboo13booboboo7bo5boobobo14boobobo14boobobo
14boobobo14boobobo\$11bob3obo8bo4bob3obo13bob3obo8bo4bob3obo13bob3obo
13bob3obo13bob3obo13bob3obo\$21boo38boo14bo19bo19bo19bo19bo\$15boo3bobbo
11boo18boo4bobo11boo18boo18boo18boo18boo\$15bo4bobbo11bo19bo5bo13bo19bo
19bo19bo19bo\$16bo4boo13bo19bo19bo19bo19bo19bo19bo\$15boo18boo18boo18boo
18boo20bo19bo19bo\$116boo18boo17bobo\$102bobo27bo9bo12boo\$102boo29boo5b
oo\$103bo28boo7boo\$\$88b3o12boo35bo\$90bo12bobo33boo\$89bo9bo3bo27b3o5bobo
\$99boo30bo\$98bobo31bo7\$96bo\$94bobo\$95boo3bo56bo\$98boo17boo18boo16boo
10boo\$99boo16bobo17bobo16boo9bobo\$119bo19bo29bo\$119boo18boo11bo16boo5b
oo\$11boobobo14boobobo14boobobo14boobobo14boobobo14boobobo14boobobo14bo
9boobobo8bobbo\$11bob3obo13bob3obo13bob3obo13bob3obo13bob3obo13bob3obo
13bob3obo13b3o7bob3obo7bobo\$17bo19bo19bo19bo19bo19bo19bo29bo8bo\$9bo5b
oo10bo7boo3boo13boo3boo13boo18boo18boo18boo28boo\$10bo4bo10bo8bo4boo13b
o4boo13bo19bo19bo19bo16b3o10bo\$8b3o5bo9b3o7bo19bo7boo10bo19bo19bo19bo
15bo13bo\$17bo4b3o8b3o17b3o7boo8b3o17b3o17b3o17b3o17bo9b3o\$15bobo4bo10b
o6boo11bo6boo3bo7bo19bo19bo19bo29bo\$15boo6bo16boo18boo5\$12b3o5boo\$12bo
6boo\$13bo7bo14\$11bo\$12bo\$10b3o\$\$27bo\$8bo17bo\$9bo16b3o\$7b3o3\$35bobo\$35b
oo\$36bo5\$17boo\$17bobo\$19bo55bobo\$19boo5boo47boo\$11boobobo8bobbo12boobo
boo13booboboo8bo14booboboo13booboboo13booboboo\$11bob3obo7bobo13bob3obb
o12bob3obbo22bob3obbo12bob3obbo12bob3obbo\$17bo8bo20bo19bo9boo18bo19bo
19bo\$15boo28boo18boo10bobo15boo18boo18boo\$15bo29bo19bo11bo17bo19bo19bo
\$16bo29bo19bo29bo19bo19bo\$13b3o27b3o17b3o9bo21bobo17bobo15boo\$13bo29bo
19bo10boo22boo18boo4b3o\$74bobo47bo\$22boobboo3boo92bo\$21boboboo4bobo\$
23bo3bo3bo84boo\$107boo6boo\$108boo7bo\$19b3o85bo3b3o\$21bo44b3o42bo\$20bo
45bobbo42bo\$66bo\$66bo\$67bobo!
``````
#308 from 18 gliders and #321 from 43 gliders. I first built #308 like #321 using the standard snake-to-domino+snake converter, but that required peeling the snake into a hook w/tail and vice versa, as above. I was able to re-tool the converter to use a different 3-glider pre-block generator, making it less obtrusive, and not need the peel/unpeel. This also allowed #321 to be built (needing the peel/unpeel, but now possible, at least). Unfortunately, this won't work for #297. The same mechanism also gives #311 from a 15:

Code: Select all

``````x = 139, y = 195, rule = B3/S23
110boo\$106boobbobo\$105bobobbo\$107bo\$122bobo\$122boo\$62bo60bo\$61bo\$61b3o
\$59bo\$60bo\$58b3o\$14bo48bo\$12bobo47bo\$13boo47b3o\$3bobo17bobo30bo24boo
18boo28boo3boo\$4boo9bo7boo32boo23bo19bo29bo3bo\$4bo10bobo6bo31boo23bo
19bo29bo5bo\$15boo64boo18boo28boo3boo\$40bobooboobo11bobooboobo14boboobo
14boboobo24bobo\$bo25bo12booboboboo11booboboboo14boboboo14boboboo24bobo
\$boo4bo13bo4boo16bo12boo5bo19bo19bo12bo16bo\$obo4boo11boo4bobo27bobo57b
oo\$6bobo11bobo35bo57bobo10\$121b3o\$121bo\$122bo6\$107bo\$105boo\$106boo\$
101bo\$102boo\$62bo38boo\$61bo\$61b3o40bo\$59bo43bo\$60bo34bo7b3o\$58b3o35boo
\$14bo48bo31boo\$12bobo47bo29boo26bo\$13boo47b3o26bobo26b3o\$3bobo17bobo
30bo24boo10bo7boo20bo\$4boo9bo7boo32boo23bo19bo19bo\$4bo10bobo6bo31boo
23bo19bo19bo\$15boo64boo18boo18boo\$40bobooboobo11bobooboobo14boboobo14b
oboobo14boboobo\$bo25bo12booboboboo11booboboboo14boboboo14boboboo14bobo
boo\$boo4bo13bo4boo16bo12boo5bo19bo19bo19bo\$obo4boo11boo4bobo27bobo\$6bo
bo11bobo35bo8\$13bo3bo\$14bo3boo\$12b3obboo46bo\$65bobo\$34bo30boo\$34bobo
16bo42bo\$34boo18boo3bobo32bobo\$53boo5boo33boo\$60bo8bo\$70boo5boo18boo\$
6bo62boo6boo18boo\$7bo\$5b3o12bo17boobbo15boobbo8bo\$20b3o15bobbobo14bobb
obo6boo7bo19bo19bo\$3boo18bo15b3obo15b3obo6bobo6b3o17b3o17b3o\$bbobo17bo
19bo19bo19bo19bo19bo\$4bo16bo19bo19bo19bo19bo19bo\$21boo18boo18boo18boo
18boo18boo\$23boboobo14boboobo14boboobo14boboobo14boboobo14boboobo\$23bo
boboo14boboboo14boboboo14boboboo14boboboo14boboboo\$7boo15bo19bo19bo19b
o19bo19bo\$8boo\$7bo16\$70boo\$66boobbobo\$25bo39bobobbo\$23bobo41bo\$24boo
57bobo\$83boo\$84bo25bobo\$27bo82boo\$25bobobbo49bo30bo\$26boobbobo46bo\$30b
oo47b3o27bo3bo\$107bobobbo\$108boobb3o\$\$20bo19bo7boo10bo7boo20bo19bo\$20b
3o17b3o5bobo9b3o5bobo19b3o3boo12b3o3boo14boobboo\$23bo19bo5bo13bo5bo23b
obbo9boo5bobbo16bobbo\$22bo19bo19bo29bo5bo8boo3bo5bo13bo5bo\$22boo18boo
18boo28boo3boo7bo5boo3boo13boo3boo\$24boboobo14boboobo14boboobo24bobo
17bobo17bobo\$24boboboo14boboboo14boboboo24bobo17bobo17bobo\$25bo19bo19b
o29bo19bo19bo4\$82b3o\$82bo\$83bo6\$82b3o\$82bo\$83bo15\$71boo\$67boobbobo\$66b
obobbo\$68bo\$83bobo\$83boo\$84bo9\$62boo28boo3boo\$62bo29bo4bo\$64bo29bo3bo\$
63boo28boobboo\$64boboobo24bobo\$64boboboo24bobo\$65bo12bo16bo\$77boo\$77bo
bo10\$82b3o\$82bo\$83bo!
``````
#152 from 32 gliders:

Code: Select all

``````x = 159, y = 67, rule = B3/S23
44bo\$45boo5bo\$44boo7bo\$51b3o\$\$48bo12bo36bo\$49bo11bobo34bobo16boo18boo
18boo\$47b3o11boo6boobboo14boobboo3boo9boobboobboo10boobboobboo5bo4boo
bboobobo\$70bo3bo15bo3bo6boo7bo3bo15bo3bo7boo6bo3bobo\$70bobo17bobo8bobo
6bobo17bobo10boo5bobo3bo\$47b3obboo3b3o9booboo15booboo7bo7booboo15boob
oo15booboobboo\$49bo3boobbo81bo\$48bo3bo5bo79boo\$138bobo\$\$44boo89b3o\$45b
oo90bo\$44bo91bo20\$67bobo12bo\$68boo12bobo\$68bo13boo40bo\$4bo120bo\$4bobo
116b3o\$4boo121bo\$bbo116bo7bobo\$obo29boo28boo56bo6boo\$boo28bobbo26bobbo
53b3o\$17boo13boo13boo13boo13boo\$9boobboobobo20boobboobobo20boobboobobo
20boobboo24boobboo14boobboo\$10bo3bobo23bo3bobo23bo3bobo23bo3bo25bo3bo
15bo3bo\$10bobo3bo23bobo3bo23bobo3bo23bobo27bobo17bobo\$9booboobboo21boo
boobboo21booboobboo21booboo25booboo15booboo\$85b3o12bobo27bobo17bobo\$
85bo12bobobobo23bobobobo15bobo\$44boo13boo13boo10bo11boo3boo23boo3boo
16bo\$44boo12bobo13boo\$17boo41bo3boo\$11boo3bobobbo22boo17bobo8boo\$12boo
4bobbobo20boo19bo8boo\$11bo9boo44b3o45boo\$67bo46bobo\$68bo47bo\$80boo39bo
4boo\$80bobo38boobbobo\$80bo39bobo4bo\$141boo\$140boo\$142bo!
``````
#237 from 59 gliders, based on one of the hard 16s. This and its cousin also implicitly give us two of the 6 unknown 22-bit jams:

Code: Select all

``````x = 128, y = 85, rule = B3/S23
10bo75bo9bo\$8bobo75bobo7bobo\$9boobbo72boo8boo\$12bo\$12b3o17bo19bo19bo
19bo\$7b3o21bobo17bobo17bobo17bobo\$9bo21boo18boo13boo3boo13boo3boo\$8bo
36bobo17bobbo16bobbo\$11boo18boo13boo3boo12bobbobboo12bobbobboo17boo\$
11bobboobo13bobboobo8bo4bobboobo8boo3bobboobo8boo3bobboobo12boboboobo\$
12boboboo14boboboo14boboboo14boboboo3bo10boboboo14boboboo\$11boo18boo
12boo4boo18boo9boo7boo18boo\$10bobbo16bobbo10bobo3bobbo16bobbo7boo7bobb
o16bobbo\$11boo18boo13bo4boo18boo18boo18boo\$83bo\$83boo\$82bobo7\$96bobo\$
97boo\$97bo\$\$94bo12bo\$95boo8boo\$bbo48bo42boo10boo\$3bo46bo\$b3o46b3o\$48bo
\$49bo\$47b3o18boo19bobo6boo\$68boo20boo6boo\$90bo\$120bo\$10boo19bo19bo19bo
29bo17bobo\$10boboboobo12boboboobo12boboboobo12boboboobo22boboboobo12bo
boboobo\$bbo9boboboo11bobboboboo11bobboboboo11bobboboboo21bobboboboo14b
oboboo\$obo8boo16boboo16boboo16boboo26boboo18boo\$boo7bobbo16bobbo16bobb
o16bobbo26bobbo16bobbo\$11boo18boo18boo18boo28boo18boo\$3b3o80b3o\$5bo82b
o\$4bo82bo5boo\$92bobo\$94bo\$96b3o\$10bo76boo7bo\$9boo75bobo8bo\$9bobo76bo6\$
15bo\$13boo\$14boo\$bbobo\$3boo\$3bo4\$10bo\$9bobo19bo19bo19bo\$10boboboobo12b
oboboobo12boboboobo12boboboobo\$12boboboo11bobboboboo11bobboboboo11bobb
oboboo\$11boo17b3o17b3o17b3o\$10bobbo19bo19bo19bo\$11boo19bo19bo19boo\$32b
oo18boob3o\$3boo50bo\$bbobo51bo\$4bo\$\$11boo\$12boo6boo\$11bo7boo\$15b3o3bo\$
17bo\$16bo!
``````
#253 from 23 gliders, based on a 15.
UPDATE: This doesn't quite work, as one of the final steps was broken. This is now demoted to "potential synthesis":

Code: Select all

``````x = 114, y = 46, rule = B3/S23
51bo\$52bo41bo\$50b3o41bobo\$54bo39b2o\$53bo17b2o18b2o\$53b3o15b2o18b2o\$50b
o\$51bo5b2o\$49b3o5bobo12bo19bo19bo\$57bo13bobo17bobo17bobo\$43bo26bobo17b
obo17bobo\$9bo34b2o24bo19bo19bo\$9bobo17b2o12b2o4b2o16b2ob2o15b2ob2o15b
2ob2o\$5b3ob2o17bo2bo16bo2bo16bo2bo16bo2bo16bo2bo\$7bo20bobo8b3o6bobo17b
obo17bobo17bobo\$6bo22bo11bo7bo19bo19bo19bo\$40bo13\$4bo\$5b2o\$4b2o3bo\$b2o
7b2o\$obo6b2o\$2bo2\$29bo19bo6bo12bo41b2o\$5b3o21b3o17b3o3bo13b3o39bo\$7bo
4bo19bo19bo2b3o14bo14b3o22bo\$6bo4bobo17bobo17bobo17b2o13bo3bo20b2o\$10b
obo17bobo17bobo2b3o12bo19bo19bo\$10bo19bo19bo4bo14bo17b2o20bo\$7b2ob2o
15b2ob2o15b2ob2o4bo10b2ob2o16bo18b2ob2o\$8bo2bo16bo2bo16bo2bo16bo2bo36b
o2bo\$8bobo17bobo17bobo17bobo17bo19bobo\$9bo19bo19bo19bo39bo!
``````
Synthesis of one that is not on the list because it can be made trivially from #382 (see bottom row). Unfortunately, #382 isn't built yet. Fortunately, this can be made another way:

Code: Select all

``````x = 153, y = 131, rule = B3/S23
84bo\$82bobo\$83boo6bo3bo\$89bobo3bobo10bo19bo19bo\$90boo3boo10bobobboboo
11bobobboboo11bobobbo\$85b3o19bob4oboo11bob4oboo11bob4o\$87bo20bo19bo8b
3o8bo\$86bo23bo19bo6bo12bo\$109boo18boo7bo10boo\$91boo\$90boo\$92bo\$86boo\$
87boo\$86bo\$90boo\$89boo\$91bo4\$120bo\$121boo\$120boo\$129bo\$129bobo\$116bo
12boo\$117boo\$11bo104boo3bo\$9bobo110boo\$10boo109boo\$\$12bo\$12bobo133bo\$
4boo6boo15bobbo16bobbo16bobbo16bobbo16bobbo16bobbo5bobo6bobobbo\$5boo
22b4o16b4o16b4o16b4o16b4o16b4o5boo7bob4o\$4bo134bo8bo\$29boo18boo18boo
18boo18boo18boo19bo\$7bo21boo18boo18bobo17bobo17bobo5boo10bobo17boo\$7b
oo34bo26bo19bo19bobo5boo10bobo\$6bobo35boo49bo15bo5bo13bo\$43boobboo3boo
39boo\$46bobobboo37boobboo\$48bo4bo36bobo\$90bo38boo\$120boo6boo6boo\$121b
oo7bo5bobo\$120bo3b3o9bo\$124bo\$70bo54bo\$71bo\$69b3o\$76bobo\$76boo\$77bo\$\$
71bo9bobo\$72boo7boo\$71boo9bo\$\$119bo\$120boo\$67bo51boo\$18bo3bo5bo19bo19b
oo8bo37boo\$16boboboo5bobobbo11boobobobbo14boo5boobobobbo13boobobbo12bo
bo8boobobbo11boboobobbo\$17boobboo4bob4o11boobob4o21boobob4o10bobobob4o
14bo5bobobob4o11boobob4o\$28bo19bo29bo14boo3bo24boo3bo19bo\$30bo19bo7bob
o19bo19bo29bo19bo\$29boo18boo8boobboo14boo18boo28boo18boo\$59bobbobo53b
3o\$64bo10boo43bo\$75bobo41bo\$75bo\$67bo\$67boo\$66bobo4\$3o\$bbo\$bo5\$23bo\$
21boo\$22boo43bo3bo51bo\$65bobo3bobo48bo\$66boo3boo46bobb3o\$117bobo\$69b3o
46boo\$71bo74bo\$24boboobobbo13boobobbo17bo5boobobbo13boobobbo23boobobbo
12bobobobbo\$24boobob4o12bobob4o22bobob4o12bobob4o22bobob4o11bobbob4o\$
28bo16bobbo26bobbo16bobbo18b3o5bobbo15boobbo\$30bo13boo4bo23boo4bo12bob
o4bo18bo3bobo4bo19bo\$16boo11boo18boo28boo12boo4boo17bo4boo4boo18boo\$
15bobo102bo\$17bo101boo\$119bobo\$21bobo\$22boo\$22bo\$\$23boo7boo\$24boo5boo\$
23bo9bo10\$127bobo\$119bobo5boo\$120boo6bo\$120bo\$124boo\$124bo21bo\$125b3ob
obbo12bobobobbo\$127bob4o11bobbob4o\$128bo15boobbo\$123boo5bo19bo\$119bobb
oo5boo18boo\$119boo3bo\$118bobo!
``````
There remain 35 other similar trivial derived still-lifes. Here is the list, in the unlikely event that any of these provides easier to synthesize than their listed cousins. (Most are connected to them by reversible conversions like snake<->carrier or beehive<->claw, so synthesis of either one automatically gives the other one, but there are occasionally exceptions, like the above synthesis, which can't be converted back to #382.)
(UPDATE: there are also 2 others related to #253, with trans- and cis- carriers):

Code: Select all

``````x = 145, y = 38, rule = B3/S23
oo3boo8boobboo3boo4boobbo10boobboo9boobboo12bo13boo13boo13boobboo7boo\$
obobobboboo4bobbobbobobo4bobbobobboobo3bobbobboboo5bobbobboboobo4b5obb
oo6bobobboo8bob3obboo5bobbobbobo6bobo3boo\$bbobobboobo6boobbobo8boobobb
oboo5boobbobobbo5boobboboboo3bo5bobbo5bo5bobbo5bo5bobbo5boobboo3bo7b3o
bbo\$bboo18boo12boo14bobboo10bo8b3obboo8b5obboo6b3obboo13b3o7bo3boo\$78b
o14bo14bo17bo10bobo\$138boo5\$bboo11boo13boo13boo13boo13boo13boo5boo6boo
3boo8boobboo10boo\$obbo11bobboboobo6bobboobboo6bobboobboo6bobboobboo6bo
bobboo8bobbobobbo7bo3bobbo6bobbobbo8bobbo\$ooboboo10booboboo7boobbobbo
7boobbobbo7boobbobbo8bobbobbo8booboo9boboobboo8boobobbo7b3obboo\$bbobbo
bbo9bobo12boboo10bobboo10bobboo9boboobboo9bobo11bo17boboo12bobbo\$bbobo
bboo9bobo12bo12bo13bo15bo16bobo9bobo17bo12b3obboo\$3bo15bo12boo12boo12b
oo13boo17bo10boo17boo12bo5\$boo12boo13boo14boo13boo12boo14boo12boo13boo
13boo\$obbo11bobbo11bobbo13bo12bobo13bo3boo9bobboo9bo5boo7bo5boo7bobo\$b
3obboobo6b3obboo8b3obboobo5bobboo10bobobo11bobobbo10bobobbo9bobobbo9bo
bobbo9b3o\$6boboo11bobbo11boboo5b3obbo10bobobo9booboo11boo3boo8booboo
10booboo10bo3bo\$3b3o12b3obboo8b3o12boobo11bobo9bobbo11bobbo13bobo11bo
bbo12bobobo\$3bo14bo14bo13bobbo11bobboo9bobo12bobo13bobo12bobo13boobbo\$
47boo13boo13bo14bo15bo14bo17boo4\$boo12boo13boo13boobboo10boo\$bo13bo14b
o14bobbobbo9bo\$bbo14bo14bo14boobbo11bo\$boo13boo13boo19boo8boo\$obboobb
oo6bobboo10bobboobboo14bo7bobboo\$oo3bobbo6boo3boboo6boo3bobbo14bobo4bo
bbobbo\$5boo13boobo11boo17boo5boobbobo\$66bo!
``````
Improved synthesis of 16.1962 from 22 gliders (used to be 32, done a totally different way). This also reduces the associated 21-bit mold by 10 gliders. I can't remember, but this may also have been used as a predecessor for one of the other 16s or 17s:

Code: Select all

``````x = 158, y = 59, rule = B3/S23
40bo3bobo\$41booboo15bo29bo19bo19bo19bo\$bbo37boo3bo14bobo27bobo17bobo
17bobo17bobo\$bbobo56bobo27bobo9bo7bobo17bobo17bobo\$bboo19boo18boo18bo
29bo8bo10bo19bo19bo\$23bobo17bobo17boboo26boboo5b3o7booboo15booboo15boo
boo\$bo3boo17bobo17bobo17bobo11boo14bobo14bobbobo14bobbobo14bobbobo\$boo
boo19bo19bo19bo10booboo14bo16boo18boo18boo\$obo3bo69b4o\$77boo38boo18boo
\$117boo18boo\$89boo\$88bobo48boo\$90bo48bobo\$92b3o44bo\$92bo\$93bo16\$136bo\$
134boo\$135boo\$123bobo\$103bo20boo\$98bo3bo21bo\$99boob3o\$98boo\$\$91bo13boo
4bo19bo\$90bobo11boo4bobo17bobo19bo\$91bobo12bo4bobo17bobo17bobo\$93bo19b
obboo15bobboo12bobbobboo\$92booboo15boobobo14boobobo13b3obobo\$91bobbobo
14bobbo16bobbo19bo\$92boo18boo18boo19bo\$153boo\$124boo\$123bobo\$102boo21b
o\$102bobo\$102bo29boo\$133boo6boo\$132bo7boo\$136b3o3bo\$138bo\$137bo!
``````
Incomplete synthesis of #131, similar to #136 and related 16. There were four things that have to be changed to make this work. First, the initial 20-bit still-life needs to be synthesized (unresolved). (For the remaining three, the puffed-out bit in the loop interferes with nearby sparks.) Second, the boat-to-table conversion needs a wider spark. Third, the table-to-curl conversion requires a much more convoluted spark. Fourth, the bottom right construction step needs a different spark, which is possible, but I'm not sure how to make it. Shown are generations 1, 31, and 46, where the needed 6-bit spark is "magically" added to the bottom left in generation 31:

Code: Select all

``````x = 190, y = 159, rule = B3/S23
158bo\$159bo\$157b3o\$161bo\$161bobo\$161boo5bo\$166boo\$167boo\$\$4bo19bo6bobo
10bo19bo19bo19bo9bo19bo19bo29bo\$3boboboo14boboboobboobb3o5boboboo14bob
oboo14boboboo14boboboo4bo19boboboo14boboboo24bobo\$b3oboboo12b3oboboo3b
obbo5b3obobobo11b3obobobo11b3obobobo11b3obobobo3b3o15b3obobo13b3obobo
23b3obo\$o4bo14bo4bo10bo3bo4bobbo11bo4bobbo11bo4bobbo11bo4bobbo21bo4bob
o12bo4bobo22bo4boboo\$oboobo14boboobo5boo7boboobo14boboobo14boboobo14bo
boobo11boo11bobooboboo11bobooboboo21bobooboboo\$boboo16boboo5boo9boboo
16boboo16boboo16boboo12bobo11bobobo15bobobo25bobobo\$32bo78boo4bo16boo
18boo15boo11boo\$110boo58boo\$81boo12bo5boo9bo59bo\$61boo17bobbo12boobbo
bbo62b3o\$62boob3o12bobbo11boo3bobbobb3o57bo\$61bo3bo15boo18boo3bo60bo\$
66bo40bo\$92boo\$93boo9b3o\$92bo13bo\$105bo14\$4bo19bo19bo19bo19bo19bo19bo
19bo19bo19bo\$3bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bo
bo\$b3obo5bobo7b3obo15b3obo15b3obo15b3obo15b3obo15b3obo15b3obo15b3obo
15b3obo\$o4boboobboobb3obbo4boboo11bo4boboo11bo4boboo11bo4boboo11bo4bob
oo11bo4boboo11bo4boboo11bo4boboo11bo4boboo\$obooboboo3bobbo4boboobobobo
10boboobobobo10boboobobo12boboobobo12boboobobo12boboobobo12boboobobo
12boboobobo12boboobobo\$bobobo10bo4bobobobbo12bobobobbo12bobobobo13bobo
bobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo\$4boo5boo11boo
18boo18booboo15booboo15booboo15booboo15booboo15booboo15booboo\$10boo\$
12bo35b3o50boo18boo18boo18boo18boo\$50bobbo25bo21bobo17bobo17bobo17bobo
17bobo\$49bobbo24bobo3bo18boo18boo18boo3boo13boo3boo13boo3boo\$52b3o23b
oobboo43boo17bobbo16bobbo16bobbo\$82bobo43boob3o12bobbo16bobbo16bobbo\$
77bo49bo3bo15boo18boo18boo\$76boo54bo\$76bobo105boo\$183bobbo\$183bobo\$
184bo3\$164boo\$163bobobboo\$165bobbobo\$168bo\$160bo\$160boo\$159bobo6\$104bo
\$102bobo\$103boo4\$128bo\$127bo8bobo\$127b3o6boo\$113bo10bo12bo\$114boo7bo\$
113boo8b3o\$121bo10bo\$122bo7boo\$120b3o8boo\$126bo\$24bo99bobo\$14bo7boo20b
o19bo19bo29bo10boo\$13bobo7boo18bobo17bobo8bo8bobo27bobo27boo18boo18boo
\$11b3obo25b3obo15b3obo9bo5b3obo25b3obo25b3obbo14b3obbo14b3obbo\$10bo4bo
boo21bo4boboo11bo4boboo4b3o4bo4boboo21bo4boboo21bo4boo13bo4boo3bo9bo4b
oo\$10boboobobo7bo14boboobobo12boboobobo12boboobobo5boo15boboobobo5boo
15boboobo14boboobo4bobo7boboobo\$11bobobobo6boo15bobobobo13bobobobo7bo
5bobobobo5bobo15bobobobo5bobo6bo8bobobo15bobobo4boo9bobobo\$6bo7booboo
5bobo3bo14boboboo14boboboo3boo9boboboo3bo20boboboo3bo5boo13boboo16bob
oo15bo\$7bo21bo14boobobbo13boobobbo3bobo7boobobbo23boobobbo10boo11boob
oo15booboo\$5b3o3boo16b3o16boo18boo18boo28boo50boo\$11bobo150bo5bobo\$12b
oo3boo144boo5bo\$16bobbo143bobo\$16bobbobb3o135boo\$9b3o5boo3bo104boo30bo
bo\$bb3o6bo11bo102boo33bo\$4bo5bo3boo100b3o9bo\$3bo9bobbo101bo\$13bobobb3o
90b3o3bo\$10bo3bo3bo94bo\$10boo7bo92bo\$9bobo17\$40bo\$39bo\$39b3o\$21bo14bo\$
22boo11bo\$21boo12b3o\$29bo14bo69bo\$30bo11boo68bobo\$28b3o12boo68boo\$34bo
51bo29bo13bobo\$32bobo21boo9bo17bobo27bobo12boo\$33boo20booboo7bo17bobbo
7b3o16bobbo7b3obbo\$55b5o7bo18boo28boo\$24bo29b5o41bo29bo\$23bobo27bobo
13b3o11boo15bo12boo15bo12boo18boo18boo\$21b3obo25b3obo25b3obbo13bo10b3o
bbo13bo10b3obbo14b3obbo14b3obbo\$20bo4boboo15bo5bo4boboobb4o15bo4boo23b
o4boo23bo4boo13bo4boo3bobo7bo4boo\$20boboobobo5boo7boo6boboobo4bobboo
15boboobo24boboobo24boboobo14boboobo4boo8boboobo\$21bobobobo5bobo7boo6b
obobob6o18bobobo25bobobo25bobobo15bobobo5bo9bobobo\$25boboboo3bo20bobob
oo24boboo26boboo26boboo16boboo15bo\$24boobobbo23boobo27bobobo25bobobo
25bobobo15bobobo\$28boo28boo24boobobbo23boobobbo23boobobbo13boobobbo\$
51b3o5bo28boo28boo28boo18boo\$50bo15bo14bo29bo53bo\$65bobo13bo29bo52boo\$
50boo15bo13bo29bo52bobo\$61bobboo\$61bo50boo\$39boo20bobo48bobo\$38boo72bo
\$24b3o13bo\$26bo\$25bo!
``````
There are also now three empty columns in the table: 2x0, 2x6 and 3x8. (Solving any of #158 #244 or #292 will create a new empty column, while solving any of #100 #227 #253 #279 #281 or #390 will create a new empty row).

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

### Re: 17-bit SL Syntheses

mniemiec wrote: Incomplete synthesis of #131, similar to #136 and related 16. There were four things that have to be changed to make this work. First, the initial 20-bit still-life needs to be synthesized (unresolved). (For the remaining three, the puffed-out bit in the loop interferes with nearby sparks.) Second, the boat-to-table conversion needs a wider spark. Third, the table-to-curl conversion requires a much more convoluted spark. Fourth, the bottom right construction step needs a different spark, which is possible, but I'm not sure how to make it. Shown are generations 1, 31, and 46, where the needed 6-bit spark is "magically" added to the bottom left in generation 31:

Code: Select all

``````x = 190, y = 159, rule = B3/S23
158bo\$159bo\$157b3o\$161bo\$161bobo\$161boo5bo\$166boo\$167boo\$\$4bo19bo6bobo
10bo19bo19bo19bo9bo19bo19bo29bo\$3boboboo14boboboobboobb3o5boboboo14bob
oboo14boboboo14boboboo4bo19boboboo14boboboo24bobo\$b3oboboo12b3oboboo3b
obbo5b3obobobo11b3obobobo11b3obobobo11b3obobobo3b3o15b3obobo13b3obobo
23b3obo\$o4bo14bo4bo10bo3bo4bobbo11bo4bobbo11bo4bobbo11bo4bobbo21bo4bob
o12bo4bobo22bo4boboo\$oboobo14boboobo5boo7boboobo14boboobo14boboobo14bo
boobo11boo11bobooboboo11bobooboboo21bobooboboo\$boboo16boboo5boo9boboo
16boboo16boboo16boboo12bobo11bobobo15bobobo25bobobo\$32bo78boo4bo16boo
18boo15boo11boo\$110boo58boo\$81boo12bo5boo9bo59bo\$61boo17bobbo12boobbo
bbo62b3o\$62boob3o12bobbo11boo3bobbobb3o57bo\$61bo3bo15boo18boo3bo60bo\$
66bo40bo\$92boo\$93boo9b3o\$92bo13bo\$105bo14\$4bo19bo19bo19bo19bo19bo19bo
19bo19bo19bo\$3bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bo
bo\$b3obo5bobo7b3obo15b3obo15b3obo15b3obo15b3obo15b3obo15b3obo15b3obo
15b3obo\$o4boboobboobb3obbo4boboo11bo4boboo11bo4boboo11bo4boboo11bo4bob
oo11bo4boboo11bo4boboo11bo4boboo11bo4boboo\$obooboboo3bobbo4boboobobobo
10boboobobobo10boboobobo12boboobobo12boboobobo12boboobobo12boboobobo
12boboobobo12boboobobo\$bobobo10bo4bobobobbo12bobobobbo12bobobobo13bobo
bobo13bobobobo13bobobobo13bobobobo13bobobobo13bobobobo\$4boo5boo11boo
18boo18booboo15booboo15booboo15booboo15booboo15booboo15booboo\$10boo\$
12bo35b3o50boo18boo18boo18boo18boo\$50bobbo25bo21bobo17bobo17bobo17bobo
17bobo\$49bobbo24bobo3bo18boo18boo18boo3boo13boo3boo13boo3boo\$52b3o23b
oobboo43boo17bobbo16bobbo16bobbo\$82bobo43boob3o12bobbo16bobbo16bobbo\$
77bo49bo3bo15boo18boo18boo\$76boo54bo\$76bobo105boo\$183bobbo\$183bobo\$
184bo3\$164boo\$163bobobboo\$165bobbobo\$168bo\$160bo\$160boo\$159bobo6\$104bo
\$102bobo\$103boo4\$128bo\$127bo8bobo\$127b3o6boo\$113bo10bo12bo\$114boo7bo\$
113boo8b3o\$121bo10bo\$122bo7boo\$120b3o8boo\$126bo\$24bo99bobo\$14bo7boo20b
o19bo19bo29bo10boo\$13bobo7boo18bobo17bobo8bo8bobo27bobo27boo18boo18boo
\$11b3obo25b3obo15b3obo9bo5b3obo25b3obo25b3obbo14b3obbo14b3obbo\$10bo4bo
boo21bo4boboo11bo4boboo4b3o4bo4boboo21bo4boboo21bo4boo13bo4boo3bo9bo4b
oo\$10boboobobo7bo14boboobobo12boboobobo12boboobobo5boo15boboobobo5boo
15boboobo14boboobo4bobo7boboobo\$11bobobobo6boo15bobobobo13bobobobo7bo
5bobobobo5bobo15bobobobo5bobo6bo8bobobo15bobobo4boo9bobobo\$6bo7booboo
5bobo3bo14boboboo14boboboo3boo9boboboo3bo20boboboo3bo5boo13boboo16bob
oo15bo\$7bo21bo14boobobbo13boobobbo3bobo7boobobbo23boobobbo10boo11boob
oo15booboo\$5b3o3boo16b3o16boo18boo18boo28boo50boo\$11bobo150bo5bobo\$12b
oo3boo144boo5bo\$16bobbo143bobo\$16bobbobb3o135boo\$9b3o5boo3bo104boo30bo
bo\$bb3o6bo11bo102boo33bo\$4bo5bo3boo100b3o9bo\$3bo9bobbo101bo\$13bobobb3o
90b3o3bo\$10bo3bo3bo94bo\$10boo7bo92bo\$9bobo17\$40bo\$39bo\$39b3o\$21bo14bo\$
22boo11bo\$21boo12b3o\$29bo14bo69bo\$30bo11boo68bobo\$28b3o12boo68boo\$34bo
51bo29bo13bobo\$32bobo21boo9bo17bobo27bobo12boo\$33boo20booboo7bo17bobbo
7b3o16bobbo7b3obbo\$55b5o7bo18boo28boo\$24bo29b5o41bo29bo\$23bobo27bobo
13b3o11boo15bo12boo15bo12boo18boo18boo\$21b3obo25b3obo25b3obbo13bo10b3o
bbo13bo10b3obbo14b3obbo14b3obbo\$20bo4boboo15bo5bo4boboobb4o15bo4boo23b
o4boo23bo4boo13bo4boo3bobo7bo4boo\$20boboobobo5boo7boo6boboobo4bobboo
15boboobo24boboobo24boboobo14boboobo4boo8boboobo\$21bobobobo5bobo7boo6b
obobob6o18bobobo25bobobo25bobobo15bobobo5bo9bobobo\$25boboboo3bo20bobob
oo24boboo26boboo26boboo16boboo15bo\$24boobobbo23boobo27bobobo25bobobo
25bobobo15bobobo\$28boo28boo24boobobbo23boobobbo23boobobbo13boobobbo\$
51b3o5bo28boo28boo28boo18boo\$50bo15bo14bo29bo53bo\$65bobo13bo29bo52boo\$
50boo15bo13bo29bo52bobo\$61bobboo\$61bo50boo\$39boo20bobo48bobo\$38boo72bo
\$24b3o13bo\$26bo\$25bo!
``````
I only note one problem, which is the synthesis of the initial SL. One problem apparently does not matter, as an alternate solution is also presented. And I don't even see the other two problems.

EDIT: Solution for that 20-bitter, using part of pretty much the same method as #143:

Code: Select all

``````x = 268, y = 22, rule = B3/S23
79bo\$78bo\$78b3o14bo60bo\$76bo19bo60bo\$77bo16b3o58b3o27bo\$48bo26b3o81bo
25bobo\$47bo51bobo56bo26b2o25bo\$47b3o49b2o57b3o43bo5b2o36bo\$77bobo20bo
83bo19bobo4b2o35bobo\$28bo15bobo24bo5b2o27bobo5bo52bobo15b2obobo13b2o
42b2o\$26bobo16b2o25bo5bo27b2o5bo42bobo8b2o15b2o2b2o\$27b2o2bo13bo24b3o
34bo5b3o13bo27b2o9bo20bo12bo20b2o21b2o\$30bo99bo26bo45bo5bo13bobo7bo12b
obo\$30b3o41b2o19b2ob2o10b3o15b3o10bo22bo20b2o14b3o4bobo14bo5bobo14bo
14b2o\$obo3bobo15bo3bo20bo23bobo18bobobobo9bo24b2o3bobo20bobo19b2o21b2o
15b2o5b2o14b2o13b2o\$b2o3b2o15bobobobo18bobob2o19bobob2o15bo5bo10bo19b
2o2bo2bo2bo19bo2bo5b2o17bo22bo16bo6b2o\$bo5bo16b2ob2o20b2ob2o20b2ob2o
16b5o32b2o2b5o18b5o5b2o14b5o10b3o5b5o12b5o5b2o11b4o11b4o\$131bo26bo12bo
12bo17bo4bo16bo12bo9bo4bo9bo4bo\$2b2ob2o17b2ob2o20b2ob2o20b2ob2o16b2ob
2o36b2ob2o18b2ob2o21b2ob2o11bo6b2ob2o12b2ob2o18b2ob2o10b2ob2o\$3bobo19b
obo22bobo22bobo18bobo15b3o20bobo20bobo23bobo20bobo14bobo20bobo12bobo\$
3bo2bo18bo2bo21bo2bo21bo2bo17bo2bo14bo22bo2bo19bo2bo22bo2bo19bo2bo13bo
2bo19bo2bo11bo2bo\$4b2o20b2o23b2o23b2o19b2o16bo22b2o21b2o24b2o21b2o15b
2o21b2o13b2o!
``````
EDIT 2: #253 (rather, a trivial variant of such) done in a slightly different way:

Code: Select all

``````x = 15, y = 16, rule = B3/S23
4bo\$3bo\$3b3o7bo\$11b2o\$12b2o\$3o3bo\$2bo3b3o\$bo7bo\$8bobo\$7bobo\$6bobo\$6bo
5b3o\$3b2ob2o4bo\$4bo2bo5bo\$4bobo\$5bo!
``````
EDIT 3: #377 from a 10-bitter:

Code: Select all

``````x = 24, y = 26, rule = B3/S23
12bo\$11bo\$bo9b3o\$2bo6bo\$3o7bo12bo\$8b3o10b2o\$14bobo5b2o\$15b2o\$15bo\$8bo\$
8b2o\$7bobo\$14b2o\$13bo2bo\$14b2obo\$17bo\$7b2o8b2o\$8b2o\$7bo2\$10b2o\$10bobo\$
10bo\$6b2o\$5bobo\$7bo!
``````
EDIT 4: #219 from a 14-bitter:

Code: Select all

``````x = 91, y = 28, rule = B3/S23
74bo\$4bo50bo16b2o\$2bobo51b2o15b2o\$3b2o50b2o\$21bo\$6b2o11bobo5bo\$6bobo
11b2o6b2o\$6bo20b2o2\$2o21b2o9b2o3b2o21b2o\$obo19bobo9bobo3bo22bo\$2bo5b3o
13bo2bobo6bo2bo18b2o2bo20b2o2bo\$2bobo3bo19b2o6bobo19bo2bo8b2o11bo2bobo
\$3b2o4bo18bo8b2obo18bobobo6bobo11bobobo\$5b2o32bobo18bobobo5bo14bobob2o
\$5bobo31bobo20bobo22bo2bo\$6bo33bo21b2o23b2o\$11b2o54b2ob2o\$10b2o54bobob
obo\$4b2o6bo55bobo\$3bobo23b2o\$5bo24b2o43bo\$29bo6b2o36b2o\$37b2o6b2o27bob
o\$36bo7b2o15bo\$40b3o3bo14b2o\$42bo17bobo\$41bo!
``````
EDIT 5: Trivial variant of #239 from a trivial 17-bitter:

Code: Select all

``````x = 31, y = 28, rule = B3/S23
4bo\$5bo\$3b3o3\$7bo\$8b2o10bo\$7b2o9b2o\$19b2o2\$16bo\$17bo\$obo3bobo6b3o\$b2o
4b2o\$bo5bo\$25bo\$25bobo\$4b2o19b2o\$3bobo5b2o3b2o\$5bo4bo2bobobo\$10b2obobo
\$12bo2bo\$12bobo\$13bo\$28b2o\$22b2o4bobo\$22bobo3bo\$22bo!
``````
EDIT 6: Trivial variant of #329 from an 11-bitter:

Code: Select all

``````x = 99, y = 28, rule = B3/S23
75bo\$73b2o\$38bo35b2o\$37bo33bo\$15bo21b3o29b2o\$14bo20bo34b2o\$14b3o19bo\$
34b3o26b2o\$63b2o\$17bo\$2b2ob2o9b2o11b2ob2o23b2ob2o30b2ob2o\$3bobobo8bobo
11bobobo17bo5bobobo5bo24bobobo\$3bo2bo23bo3bo15bobo5bo3bo5bobo22bo4bo\$
4b2o25b3o17b2o6b3o6b2o24b4o\$13b3o\$13bo80b2o\$14bo16b3o25b3o13bo18bobo\$
30bo3bo23bo3bo12bobo17bo\$30b2ob2o23b2ob2o8b2o2b2o\$70b2o6b2o\$72bo5bobo\$
b2o75bo\$obo\$2bo64b2o\$56b2o9bobo\$7b2o48b2o8bo\$7bobo46bo\$7bo!
``````
EDIT 7: Possible predecessor for #330:

Code: Select all

``````x = 48, y = 34, rule = B3/S23
36bo\$34b2o\$35b2o2\$38bobo\$38b2o\$39bo3\$6bo\$7bo\$5b3o2\$25b2o19bo\$19b2ob2o
2bo18bo\$20bobob2o19b3o\$20bo\$21b5o\$16b2o5bo2bo\$15bo2bo6b2o\$16b2o11b2o\$
29bobo\$4b2o24b2o\$3bobo32b3o\$5bo4bo27bo\$10b2o27bo\$9bobo\$41b2o\$41bobo\$b
2o38bo\$obo19b2o\$2bo15bo2bo2bo\$19bo2b2o\$17b3o!
``````
EDIT 8: #330 from a trivial 19-bitter via a different method:

Code: Select all

``````x = 42, y = 35, rule = B3/S23
27bo\$22bo3bo\$20b2o4b3o9bo\$21b2o15bobo\$14bo23b2o\$15bo\$13b3o2\$23bo\$24bo\$
22b3o2\$13bo6bo\$11bobo5bobo\$12b2o6b2o9b2o\$31b2o6bo\$b4o34bobo\$o3bo18bo
15b2o\$4bo17bobob2o\$o2bo17bob2obobo\$21bo4bobo\$13bo5bobo4b2o\$11bobo5b2o\$
12b2o3\$36b2o\$14b3o18b2o\$16bo20bo\$15bo5b2o\$22b2o\$21bo\$35b2o\$34b2o\$36bo!
``````
EDIT 9: #193 from a 14-bitter, using a method similar to that of 18.459:

Code: Select all

``````x = 119, y = 39, rule = B3/S23
26bo\$26bobo\$26b2o7\$40bo\$38b2o\$39b2o\$61bobo\$57bo3b2o\$22b2o34b2o2bo7b2o
22b2o18b2o\$21bobo33b2o10bobo14b2o5bobo17bobo\$bo4bo13bo3b2o38b2o2bo3b2o
12bobo3bo3b2o14bo3b2o\$2bob2o15b3o2bo37bo2bob3o2bo14bobob3o2bo12bob3o2b
o\$3o2b2o16bobo40b2obo3b2o15b2obo3b2o12bobo3b2o\$24bo87bo\$85bo\$85b2o\$84b
obo8bo\$2bo91b2o\$b2o91bobo\$bobo2\$92b3o\$94bo\$93bo\$10b2o83b3o\$9bobo26bo
56bo\$11bo25b2o57bo\$37bobo\$32b3o\$32bo\$10b2o21bo\$9bobo\$11bo!
``````
EDIT 10: The same method used to solve #106 can be used to partially solve #331 (and potentially improve #329 and/or #330):

Code: Select all

``````x = 21, y = 18, rule = B3/S23
bo\$2bo\$3o17bo\$18b2o\$19b2o\$9bo\$7b2o\$3bobo2b2o3b2o\$4b2o6bo2bo\$4bo7b3o2\$
12b3o\$11bobobo\$11bo4bo\$2b2o8b4o\$bobo9bo\$3bo7bo\$11b2o!
``````
Last edited by Extrementhusiast on February 23rd, 2014, 7:14 pm, edited 1 time 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

(Splitting the post again.)

A completely different way to solve #235:

Code: Select all

``````x = 14, y = 15, rule = B3/S23
5bo\$4bo\$4b3o\$2bo\$obo\$b2o\$10b2o\$6b2o3bo\$6bo\$7b7o\$13bo\$9b2o\$10bo\$9bo\$9b
2o!
``````
EDIT: Predecessor to #140:

Code: Select all

``````x = 26, y = 23, rule = B3/S23
o\$b2o\$2o4\$11b2o\$10bo2bob2o\$9bobob2obo4bo\$10bobo7bo\$12bob2o4b3o\$12bo2bo
\$13b2o8b2o\$23bobo\$2o21bo\$b2o\$o3\$3b3o\$5bo11b3o\$4bo12bo\$18bo!``````
Additionally, my method for #266 only takes 30 gliders, not a number over 40.
I Like My Heisenburps! (and others)

mniemiec
Posts: 1181
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Sokwe wrote:That's certainly enough to complete #134:
This doesn't quite work as shown; one of the gliders passes through the bun, and needs an extra kickback glider:

Code: Select all

``````x = 68, y = 45, rule = B3/S23
27bo\$26bo\$26b3o3\$4bo20bo\$5bo17boo\$3b3o18boo9\$20boboo26boboo\$20boobo26b
oobo\$24boo28boo\$20b3obobo22boboobobo9bo\$19bobbobobo22boobobobo8bobo\$
20boo3bo5bobo21bo9bobo\$31boobb3o28bo\$32bobbo\$3o33bo\$bbo\$bo\$\$18boo15boo
\$6b3o8boo16bobo\$8bo10bo15bo\$7bo\$17boo\$16bobo10boo\$8b3o7bo10bobo\$10bo
18bo\$9bo\$35b3o\$35bo\$16b3o17bo\$18bo\$17bo\$32b3o\$32bo\$33bo!
``````
mniemiec wrote:Synthesis of one that is not on the list because it can be made trivially from #382 (see bottom row). Unfortunately, #382 isn't built yet. Fortunately, this can be made another way:
Extrementhusiast wrote:#382 from two eaters:
Still, it IS much cheaper from #382, reducing it from 31 to 19 gliders:

Code: Select all

``````x = 35, y = 13, rule = B3/S23
9bobo\$bobo5boo\$bboo6bo\$bbo\$6boo\$6bo21bo\$7b3obobbo12bobobobbo\$9bob4o11b
obbob4o\$10bo15boobbo\$5boo4boo18boo\$bobboo6bo19bo\$boo3bo5bobo17bobo\$obo
10boo18boo!
``````
Extrementhuisast wrote:Key step for #266:
Here is the base still-life from 15 gliders, giving us #266 from 32, much better than my other one from 40 (and similarly improves two others derived from #266):
(UPDATE: You already included this in the Oscillators thread in your eater-3 synthesis; plus, I just counted yours (which is essentially the same as mine) and it comes up to 30 gliders, so I'm going to need to figure out why my math is wrong.)

Code: Select all

``````x = 165, y = 21, rule = B2/S23
bbo\$bo35bo\$b3o31boo25bo14bo14bo19bo29bo19bo\$22boo12boo4boo14boobobo14b
o9boobobo14boobobo12bobo9boobobo14boobobo\$bo19bobo17bobo15bobobbo11b3o
10bobobbo14bobobbo12boo3bobo4bobobbo12bobobobbo\$boo19bo19bo7boo7bobboo
16boo7bobboo15bobboo13bo5boo4bobboo13bobobboo\$obo47boo6boo20boo6boo18b
oo23bo4boo18boo\$32bo27b4o26b4o16b4o17bo8b4o16b4o\$33boo25bobbo26bobbo
16bobbo17boo7bobbo16bobbo\$32boo9bobo84bobo28boo\$43boo\$44bo\$33b3o105boo
\$33bo106boo\$34bo102boo3bo\$60boo28boo46boo\$31b3o26boo28boo45bo\$33bo\$32b
o59boo48boo\$92bobo46boo\$92bo50bo!
``````
Extrementhusiast wrote:#357 from a 15-bitter:
This also trivially gives us #291, as previously shown.
mniemiec wrote:Incomplete synthesis of #131 ...
extrementhusiast wrote:I only note one problem, which is the synthesis of the initial SL. One problem apparently does not matter, as an alternate solution is also presented. And I don't even see the other two problems.
In my solution two of the problems have been fixed. (If you compare this solution with the original still-life, most of the steps are identical, but two of the major steps have had alterations to the spark-producers).
Unfortunately, one problem remains, the step in the bottom right corner. It requires a spark (also at the bottom right corner of that step) that I don't know how to provide. Any ideas?

Extrementhusiast wrote:#253 (rather, a trivial variant of such) done in a slightly different way:
Extrementhusiast wrote:Trivial variant of #329 from an 11-bitter:
These are much smaller and cleaner than mine (see below).
Extrementhusiast wrote:Additionally, my method for #266 only takes 30 gliders, not a number over 40.
I'll have another look at where I got my numbers.

And now for new stuff:
mniemiec wrote:#253 from 23 gliders, based on a 15.
UPDATE: This doesn't quite work, as one of the final steps was broken. This is now demoted to "potential synthesis":
I had used this method (via eater), because the one I had tried previously (via barge) didn't quite work. Since this one doesn't work (and I can't get it to work), I went back to the previous attempt, and managed to fix it. #253 from 31 gliders, via its cousin from 26 gliders:
UPDATE: Extrementhusiast's version is much smaller.

Code: Select all

``````x = 158, y = 46, rule = B3/S23
54bo\$55bo41bo\$53b3o41bobo\$57bo39boo36bo\$56bo17boo18boo39bobo\$56b3o15b
oo18boo39boobboo\$53bo84boo\$54bo5boo78bo15bo\$52b3o5bobo12bo19bo19bo19bo
19bobo\$60bo13bobo17bobo17bobo17bobo17bobo\$46bo26bobo17bobo17bobo17bobo
17bobo\$12bo34boo24bo19bo19bo19bo19bo\$12bobo17boo12boo4boo16booboo15boo
boo15booboo15booboo15booboo\$8b3oboo17bobbo16bobbo16bobbo16bobbo16bobbo
16bobbo16bobbo\$10bo20bobo8b3o6bobo17bobo17bobo17bobo17bobo17bobo\$9bo
22bo11bo7bo19bo19bo19bo19bo19bo\$43bo8\$46boo\$46b3o88bo\$46b3o87bo\$45bob
oo3bo83b3o\$45b3o5boo43bo34bo\$46bo5boo44bobo33boo\$4bo35bobo16bo38boo33b
oo\$4bobo34boo15bo\$4boo35bo3bobo10b3o15boo18boo33bo4bobo\$bbo36bo6boo28b
oo18boo31bobo4boo\$obo19boo13bo3bo4bo5boo76boo5bo\$boo18bobbo17bo8bobbo\$
22boo13bo4bo9boo7b3o9boo18boo18boo18boo4b3o12boo\$6bo19bo11b5o13bo4bo
11bo19bo19bo19bo5bo14bo\$5bobo17bobo27bobo4bo12bo19bo19bo19bo4bo14bo\$4b
obo17bobo27bobo17boo18boo18boo18boo18boo\$3bobo17bobo27bobo17bo19bo19bo
19bo19bo\$3bo19bo29bo19bo19bo19bo19bo19bo\$ooboo15booboo25booboo5b3o7boo
boo15booboo15booboo15booboo15booboo\$bobbo16bobbo26bobbo5bo10bobbo16bo
bbo16bobbo16bobbo16bobbo\$bobo17bobo27bobo7bo9bobo17bobo17bobo17bobo17b
obo\$bbo19bo29bo19bo19bo19bo19bo19bo!
``````
#329 from 44 gliders, via its cousin from 36 gliders (also eliminating row 32x):
UPDATE: Extrementhusiast's version is much smaller.

Code: Select all

``````x = 172, y = 105, rule = B3/S23
54bo\$54bobo\$bbobo49boo\$3boo\$3bo33bo15bo3bo\$18bo17bobo12bobobbobo87bobo
\$13boobbo18bobbo12boobbobbo13bo19bo19bo19bo12boo15bo\$13bobob3o17boo18b
oo3bo10b3o17b3o17b3o17b3o11bo15b3o\$13bo47bo14bo19bo19bo19bo29bo\$33boo
18boo6b3o9boobo16boobo14b4obo14b4obo12bo11b4obo\$32bobo17bobobb3o12bobo
boo11bobboboboo13bobboboo13bobboboo11bobo9bobboboboo\$33bo19bo3bo15bo
13bobo3bo55boo14booboo\$58bo29boo\$\$86boo\$86bobo\$86bo3\$148bo\$147boo\$135b
o11bobo\$133bobo\$130boobboo\$129bobo\$131bo3boo\$135bobo\$135bo7\$bo\$bboo\$b
oo\$9bo\$8bo\$8b3o3\$5bo\$3bobo\$4boo\$\$13bo19bo19bo19bo19bo29bo19bo19bo\$13b
3o17b3o17b3o17b3o17b3o27b3o17b3o17b3o\$16bo19bo19boboo16boboo16boboo26b
oboo16boboo16boboo\$11b4obo16boobo16booboboo13booboboo13booboboo23boobo
boo13booboboo13booboboo\$11bobboboboo13bobboboo13bobbo16bobbo16bobbo26b
obbo16bobbo16bobbo\$15booboo15booboo15boo18boo18boo28boo18boo18boo\$\$75b
oo18boo11bo16boo18boo18boo\$75boo18boo11bobo14boobboo14boobboo14boobboo
\$bboo11boo41boo48boo19bobo17bobo8boo7bobo\$bobo11bobo34boo3bobobbo12boo
18boo28boo3bo8boo4boo3bo8bobbobboo3bo\$3bo11bo37boo4bobbobo10boo18boo
28boo11bobo4boo13boo3boo\$11b3o38bo9boo76bo\$13bo128boo\$12bo94boo33bobo\$
107bobo32bo\$107bo\$\$105boo\$104bobo\$106bo12\$99bo\$100bo\$98b3o\$102bo\$102bo
bo3bo\$102boo3bo\$107b3o\$\$7bo5bo19bo19bo19bo19bo19bo\$5bobo5b3o17b3o17b3o
6bobo8b3o17b3o17b3o\$6boo8boboo16boboo16boboobboobb3o7boboo16boboo16bo\$
13booboboo13booboboo13booboboo3bobbo6boobobobo12boobobobo12boobo\$bbo
10bobbo16bobbo16bobbo10bo5bobbobbo13bobbobbo13bobboboo\$obo12boo17bobo
17bobo5boo10bobo17bobo17boboboo\$boo5bo26bo19bo5boo12bo19bo19bo\$6bobo6b
oo46bo\$7boo6boobboo\$10boo7bobo\$9bobbobboo3bo\$10boo3boo87boo\$104bobo\$
104bo\$4boo\$3bobo11b3o5bo67boo\$5bo5boo6bo4boo68boo\$10bobo5bo5bobo66bo\$
12bo!
``````
Sadly, the above method can't be used for #330 or #331, as the related predecessors aren't stable. What would be very useful is a tool that converts an inducting block (or table, or anything else similar) into a siamese carrier (i.e. an attached bit plus a pre-block). That would solve these two, plus several others that have come up before - or even from an inducting eater or snake, to perhaps solve #166.

#340 from 18 gliders. Some of the sparks could probably be sped up. This also greatly reduces #228 from 45 to 24 gliders:

Code: Select all

``````x = 189, y = 74, rule = B3/S23
86bo\$84bobo\$85boo45bobo\$80bobo49boo\$81boo50bo\$81bo11\$127bo\$126bo\$126b
3o7\$113bobo\$114boo\$114bo39bo4bo8bo5bo\$117bo34bobo5boo4boo6bobo\$117bobo
33boo4boo6boo5boo\$3bobo111boo52boo\$3boo166bobo\$4bo18bo19bo19bo39bo39b
oo11boo5boo6bo\$bo20bobo17bobo17bobo37bobo37bobbo9bobo4bobbo15boobboo\$b
oo4bobo13boo18boo18boo38boo36bobbobbo9bo3bobbobbo13bobbobbo\$obo4boo16b
oo18boo18boo38boo35booboobo13booboobo13booboobo\$8bo16bobo17bobo17bobo
37bobo36bobbo16bobbo16bobbo\$5bo20bo19bo19bo39bo37bobo17bobo17bobo\$5boo
138bo19bo19bo\$4bobo84boo\$63boo27boo9boo\$43b3o17boo26bo11boo\$43bo50boo\$
44bo49bobo\$40b3o51bo\$42bo\$41bo4\$82bo\$82boo\$81bobo14\$79boo50boo\$78bobo
50bobo\$80bo50bo3\$81b3o\$83bo\$82bo!
``````
At this point, my count is 67 basic still-lifes unsynthesized (or only partially synthesized), plus 33 trivial ones derived from these, so there are now only 100 left to go, only 2/3 of which require any actual work!
UPDATE: Now down to 62 plus 32.

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

### Re: 17-bit SL Syntheses

mniemiec wrote:one problem remains, the step in the bottom right corner. It requires a spark (also at the bottom right corner of that step) that I don't know how to provide.
I'm not seeing it. In fact, the entire bottom row seems irrelevant since the synthesis appears to be complete in the third row.
-Matthias Merzenich

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

### Re: 17-bit SL Syntheses

mniemiec wrote:
mniemiec wrote:Incomplete synthesis of #131 ...
Extrementhusiast wrote:I only note one problem, which is the synthesis of the initial SL. One problem apparently does not matter, as an alternate solution is also presented. And I don't even see the other two problems.
In my solution two of the problems have been fixed. (If you compare this solution with the original still-life, most of the steps are identical, but two of the major steps have had alterations to the spark-producers).
Unfortunately, one problem remains, the step in the bottom right corner. It requires a spark (also at the bottom right corner of that step) that I don't know how to provide. Any ideas?
I'd have to check, but I think you solved your own problem, and that the lower solution was another line of inquiry that didn't entirely pan out.

EDIT: Sokwe covered this at pretty much the same time.
mniemiec wrote:Sadly, the above method can't be used for #330 or #331, as the related predecessors aren't stable. What would be very useful is a tool that converts an inducting block (or table, or anything else similar) into a siamese carrier (i.e. an attached bit plus a pre-block). That would solve these two, plus several others that have come up before - or even from an inducting eater or snake, to perhaps solve #166.
I used the following step in my griddle-with-hook-and-tub synthesis (on page eight in the other thread) that may give some ideas:

Code: Select all

``````x = 47, y = 72, rule = B3/S23
13bo\$11bobo\$12b2o16\$27bo\$bo24bo6bo\$2bo23b3o4bobo\$3o30b2o5\$2bo\$3bo\$b3o\$
35bo\$33bobo\$34b2o\$37bo\$37b3o\$16b2o22bo\$16b2o2b2o17b2o\$20b2o2\$20b4o\$19b
o4bo\$18bob5o\$19bo\$20bob3o\$21b2o2bo\$24bobo\$25bo5\$3b2o30bo\$2bobo28b2o\$4b
o29b2o5\$45b2o\$44b2o\$46bo3\$33b3o\$33bo\$34bo5\$17b2o\$18b2o\$17bo!
``````
Unfortunately, the particular way the gliders are arranged do not allow for an insertion of a pre-block, if the right side is removed (to avoid lengthening anything that shouldn't be lengthened).

Also, I count 59 still lifes, not 62, although I may have deleted a few when they should not have been. (I'm not currently keeping track of the trivial variants.)
I Like My Heisenburps! (and others)

mniemiec
Posts: 1181
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:I'd have to check, but I think you solved your own problem, and that the lower solution was another line of inquiry that didn't entirely pan out.
No. The bottom left step is part of the critical path, and incomplete. The first image on the bottom row shows most of the synthesis, omitting any bottom-left sparks. The second shows that same pattern advanced 31 generations - with the crucial spark added in "magically" by hand. The third step is the desired result, at generation 46.
Extrementhusiast wrote:Also, I count 59 still lifes, not 62, although I may have deleted a few when they should not have been. (I'm not currently keeping track of the trivial variants.)
I'll try to put together an abridged list of what is still missing from my lists. Then we can compare lists to see whether some have been removed that shouldn't have, or if I have some that should have ben removed, but weren't.

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

### Re: 17-bit SL Syntheses

mniemiec wrote:
Extrementhusiast wrote:I'd have to check, but I think you solved your own problem, and that the lower solution was another line of inquiry that didn't entirely pan out.
No. The bottom left step is part of the critical path, and incomplete. The first image on the bottom row shows most of the synthesis, omitting any bottom-left sparks. The second shows that same pattern advanced 31 generations - with the crucial spark added in "magically" by hand. The third step is the desired result, at generation 46.
I'm a bit confused as to why you think it's that way, because if I labeled your RLE like this:

Code: Select all

``````x = 185, y = 89, rule = LifeHistory
102.A\$100.A.A\$101.2A4\$126.A\$125.A8.A.A\$125.3A6.2A8.4D\$111.A10.A12.A8.
D3.D\$112.2A7.A22.D3.D\$111.2A8.3A20.4D\$119.A10.A13.D3.D\$120.A7.2A14.D
3.D\$118.3A8.2A13.4D\$124.A\$22.A99.A.A\$12.A7.2A20.A19.A19.A29.A10.2A\$
11.A.A7.2A18.A.A17.A.A8.A8.A.A27.A.A27.2A18.2A18.2A\$9.3A.A25.3A.A15.
3A.A9.A5.3A.A25.3A.A25.3A2.A14.3A2.A14.3A2.A\$8.A4.A.2A21.A4.A.2A11.A
4.A.2A4.3A4.A4.A.2A21.A4.A.2A21.A4.2A13.A4.2A3.A9.A4.2A\$8.A.2A.A.A7.A
14.A.2A.A.A12.A.2A.A.A12.A.2A.A.A5.2A15.A.2A.A.A5.2A15.A.2A.A14.A.2A.
A4.A.A7.A.2A.A\$9.A.A.A.A6.2A15.A.A.A.A13.A.A.A.A7.A5.A.A.A.A5.A.A15.A
.A.A.A5.A.A6.A8.A.A.A15.A.A.A4.2A9.A.A.A\$4.A7.2A.2A5.A.A3.A14.A.A.2A
14.A.A.2A3.2A9.A.A.2A3.A20.A.A.2A3.A5.2A13.A.2A16.A.2A15.A\$5.A21.A14.
2A.A2.A13.2A.A2.A3.A.A7.2A.A2.A23.2A.A2.A10.2A11.2A.2A15.2A.2A\$3.3A3.
2A16.3A16.2A18.2A18.2A28.2A50.2A\$9.A.A150.A5.A.A\$10.2A3.2A144.2A5.A\$
14.A2.A143.A.A17.D\$14.A2.A2.3A81.D53.2A\$7.3A5.2A3.A76.D3.D23.2A30.A.A
\$3A6.A11.A102.2A33.A21.D\$2.A5.A3.2A80.D19.3A9.A\$.A9.A2.A101.A\$11.A.A
2.3A71.D18.3A3.A65.D\$8.A3.A3.A69.D24.A\$8.2A7.A65.D26.A71.D\$7.A.A64.D
4.D\$73.D.D106.D\$72.D3.D\$72.D3.D\$72.5D103.4D\$72.D3.D103.D3.D\$69.D2.D3.
D103.D3.D\$180.D3.D\$66.D113.D3.D\$180.D3.D\$63.D116.4D\$60.D\$58.D\$179.D\$
57.D\$54.D125.D\$52.D\$38.A9.D132.D\$37.A7.D\$37.3A142.D\$19.A14.A\$20.2A11.
A\$19.2A12.3A146.D\$27.A14.A69.A\$28.A11.2A68.A.A\$26.3A12.2A68.2A\$32.A
51.A29.A13.A.A\$30.A.A21.2A9.A17.A.A27.A.A12.2A52.D\$31.2A20.2A.2A7.A
17.A2.A7.3A16.A2.A7.3A2.A\$53.5A7.A18.2A28.2A\$22.A29.5A41.A29.A\$21.A.A
27.A.A13.3A11.2A15.A12.2A15.A12.2A18.2A18.2A\$19.3A.A25.3A.A25.3A2.A
13.A10.3A2.A13.A10.3A2.A14.3A2.A14.3A2.A\$18.A4.A.2A15.A5.A4.A.2A2.4A
15.A4.2A23.A4.2A23.A4.2A13.A4.2A3.A.A7.A4.2A\$18.A.2A.A.A5.2A7.2A6.A.
2A.A4.A2.2A15.A.2A.A24.A.2A.A24.A.2A.A14.A.2A.A4.2A8.A.2A.A\$19.A.A.A.
A5.A.A7.2A6.A.A.A.6A18.A.A.A25.A.A.A25.A.A.A15.A.A.A5.A9.A.A.A\$23.A.A
.2A3.A20.A.A.2A24.A.2A26.A.2A26.A.2A16.A.2A15.A\$22.2A.A2.A23.2A.A27.A
.A.A25.A.A.A25.A.A.A15.A.A.A\$26.2A28.2A24.2A.A2.A23.2A.A2.A23.2A.A2.A
13.2A.A2.A\$49.3A5.A28.2A28.2A28.2A18.2A\$48.A15.A14.A29.A53.A\$63.A.A
13.A29.A52.2A\$48.2A15.A13.A29.A52.A.A\$59.A2.2A\$59.A50.2A\$37.2A20.A.A
48.A.A25.3D\$36.2A72.A26.D3.D\$22.3A13.A98.D\$24.A112.D\$23.A113.D\$137.D
3.D\$138.3D!
``````
...what's to stop one from going from A to D via B instead of via C?

EDIT: In other words, what's stopping this, copied verbatim from your RLE, from being a valid synthesis?

Code: Select all

``````x = 418, y = 416, rule = B3/S23
415bobo\$415b2o\$416bo6\$21bobo\$22b2o\$22bo4\$396bo7bo\$394b2o7bo\$395b2o6b3o
\$33bo358bo\$31bobo356b2o\$32b2o357b2o\$39bo358bo\$40b2o356bobo\$39b2o357b2o
\$43bobo\$44b2o\$44bo4\$45bo\$46b2o350bo\$45b2o351bobo\$398b2o11\$372bo\$370b2o
\$371b2o5\$44bo333bo\$45bo331bo\$43b3o331b3o11\$57bo\$55bobo\$56b2o297bobo\$
355b2o\$356bo14\$343bo\$342bo\$342b3o\$331bobo\$106bo224b2o\$107bo224bo\$105b
3o\$319bo\$319bobo\$319b2o5bo\$324b2o\$325b2o12\$312bo\$311bo\$311b3o6\$103bo\$
104b2o\$103b2o194bobo\$299b2o\$300bo13\$145bo\$143bobo128bo\$144b2o128bobo9b
o\$274b2o9bo\$285b3o11\$269bobo\$269b2o\$270bo7\$250bo12bo\$250bobo4bo5bobo\$
250b2o3b2o6b2o\$168bobo85b2o\$169b2o\$169bo8\$253bo\$253bobo\$253b2o\$240bo\$
240bobo\$240b2o3\$236bo9bo\$234b2o10bobo\$235b2o9b2o7\$225bo\$223b2o7bo\$224b
2o5bo\$231b3o5\$211bo\$211bobo\$192bobo16b2o\$193b2o\$193bo12\$197b2o\$196bobo
\$198bo2\$215bo\$214b2o\$214bobo6\$224b2o12b2o\$223b2o13bobo\$225bo12bo3\$229b
2o\$229bobo\$229bo4\$242b2o\$241b2o6b2o\$243bo5bobo\$249bo4\$250b2o\$249b2o\$
251bo3\$260b2o\$260bobo\$247b2o11bo\$246b2o\$248bo2\$177b2o\$176bobo\$178bo\$
246b2o9b2o\$171b2o73bobo7b2o\$165bo4bobo73bo11bo\$165b2o5bo\$164bobo106b3o
\$273bo\$274bo\$269b2o\$268b2o8b3o\$270bo7bo\$279bo4\$280bo\$279b2o\$279bobo13\$
295b3o\$295bo\$296bo3\$133bo169b3o\$133b2o168bo\$132bobo169bo\$299b2o\$298b2o
\$300bo3\$119b2o\$120b2o171b3o\$119bo173bo\$294bo2\$315b2o\$315bobo\$309b2o4bo
\$308b2o\$310bo2\$304b3o\$304bo\$305bo\$100b2o\$101b2o9b3o\$100bo13bo\$113bo
215b2o\$328b2o\$330bo\$324b3o\$324bo\$325bo4\$335b3o\$335bo\$336bo\$331b2o\$330b
2o\$332bo10\$84b3o\$86bo\$85bo18\$351bo\$350b2o\$350bobo\$345bo\$344b2o27bo\$
344bobo9b2o14b2o\$356bobo13bobo\$356bo4\$62b2o\$61bobo292b2o12b3o\$47b3o13b
o292bobo11bo\$40b3o6bo306bo14bo\$42bo5bo9bo\$41bo16b2o\$57bobo306b3o\$48bo
317bo\$48b2o317bo\$47bobo2\$388b3o\$388bo\$389bo8\$394b2o\$394bobo\$35b2o357bo
\$36b2o\$30b2o3bo\$31b2o\$30bo17\$416bo\$415b2o\$408b3o4bobo\$408bo\$bo407bo\$b
2o\$obo!
``````
I'm trying my best not to sound like a typical Internet commenter, so I sincerely apologize if I come off as being a bit blunt and/or rude with this post.
I Like My Heisenburps! (and others)

dvgrn
Moderator
Posts: 7198
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: 17-bit SL Syntheses

Extrementhusiast wrote: I count 59 still lifes...
Most of the ones still left on the list look like they belong there -- fairly delicately balanced, with no obvious way to modify a protruding corner to subtract one bit and get to a known predecessor (with any likelihood of getting back again).

A few of them I'm surprised have lasted so long, though, like #363, #381, #384, #385, and maybe #361. Seems like their continued presence must mean there's no known way to convert a protruding snake into an eater. Is this true?

I just spent a few minutes applying sparks to snakes, and quickly got in over my head -- I don't have a very good mental spark library, I guess. But certainly snakes don't seem to be that difficult to make adjustments to...?

Code: Select all

``````#C random 28-bit thing from 16-bit starting point
x = 55, y = 63, rule = B3/S23
2bo\$obo\$b2o41bobo\$44b2o\$45bo19\$13b2o\$13bobo\$15b3o\$14bo3bob2o\$14b2o2b2o
bo8\$20b2o\$19bobo\$20bo2\$17b3o\$19bo\$18bo7\$15bo\$14bobo\$14bobo\$15bo3\$32bo\$
31b2o\$31bobo4\$53b2o\$52b2o\$54bo!``````

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

### Re: 17-bit SL Syntheses

Sure enough, this solves #363, #381, and #384 from their respective 16-bit counterparts:

Code: Select all

``````x = 242, y = 314, rule = B3/S23
3bo\$4b2o\$3b2o53bo\$58bobo\$58b2o16\$108bo\$106bobo\$107b2o2\$111bo37bobo54bo
\$103bobo3b2o38b2o56b2o\$84bo19b2o4b2o38bo55b2o\$84bobo17bo74bo\$84b2o91bo
bo35bo\$21b2o49b2o26b2o24b2o6bo30b2o6bo4b2o20b2o6bo6bobo15b2o\$21bobo48b
obo5b2o3b2o13bobo5b2o16bobo4bobo29bobo4bobo7bobo15bobo4bobo5b2o2b2o12b
obo\$23b3o48b3o3bobo2bobo14b3o3b2o18b3o3b2o31b3o3b2o7b2o2b3o13b3o3b2o8b
2o15b3o\$22bo3bob2o43bo3bo4bo2bo15bo3bo21bo3bo34bo3bo12bo2bo14bo3bo8bo
5bo13bo3bo\$22b2o2b2obo43b2o2b5o19b2o2b5o17b2o2b5o6b2o22b2o2b5o3b2o7bo
13b2o2b5o3bobo18b2o2b3o\$109bo25bo7b2o29bo2bobo29bo2bobo26bo\$79bo27bo
25bo8bo29bo4bo29bo4bo27b2o\$78bobo26b2o24b2o37b2o2b2o29b2o2b2o\$79bobo
61b2o\$80bo62bobo\$77bo65bo57b2o\$77b2o123b2o4b2o\$76bobo122bo5b2o\$209bo3\$
139b2o\$18bo119bobo\$16bobo121bo\$17b2o\$33b2o\$34b2o\$33bo\$36b2o112b2o\$36bo
bo111bobo\$36bo113bo33\$b2o\$obo\$2bo23\$3bo\$4b2o\$3b2o53bo\$58bobo\$58b2o16\$
108bo\$106bobo\$107b2o2\$111bo37bobo54bo\$103bobo3b2o38b2o56b2o\$84bo19b2o
4b2o38bo55b2o\$84bobo17bo74bo\$84b2o91bobo35bo\$22b2o49b2o26b2o24b2o5bo
31b2o5bo4b2o21b2o5bo6bobo16b2o\$22bo50bo6b2o3b2o14bo6b2o17bo5bobo30bo5b
obo7bobo16bo5bobo5b2o2b2o13bo\$23b3o48b3o3bobo2bobo14b3o3b2o18b3o3b2o
31b3o3b2o7b2o2b3o13b3o3b2o8b2o15b3o\$21bobo2bob2o42bobo2bo4bo2bo14bobo
2bo20bobo2bo33bobo2bo12bo2bo13bobo2bo8bo5bo12bobo2bo\$21b2o3b2obo42b2o
3b5o18b2o3b5o16b2o3b5o6b2o21b2o3b5o3b2o7bo12b2o3b5o3bobo17b2o3b3o\$109b
o25bo7b2o29bo2bobo29bo2bobo26bo\$79bo27bo25bo8bo29bo4bo29bo4bo27b2o\$78b
obo26b2o24b2o37b2o2b2o29b2o2b2o\$79bobo61b2o\$80bo62bobo\$77bo65bo57b2o\$
77b2o123b2o4b2o\$76bobo122bo5b2o\$209bo3\$139b2o\$18bo119bobo\$16bobo121bo\$
17b2o\$33b2o\$34b2o\$33bo\$36b2o112b2o\$36bobo111bobo\$36bo113bo33\$b2o\$obo\$
2bo23\$3bo\$4b2o\$3b2o53bo\$58bobo\$58b2o14\$107bo7bobo\$105b2o8b2o\$106b2o8bo
2\$105bo7bo\$106bo4b2o\$104b3o5b2o35bobo54bo\$149b2o56b2o\$84bo65bo55b2o\$
84bobo92bo\$84b2o91bobo35bo\$23b2o49b2o26b2o24b2o4bo32b2o4bo4b2o22b2o4bo
6bobo17b2o\$22bo2bo47bo2bo3b2o3b2o14bo2bo3b2o17bo2bo2bobo30bo2bo2bobo7b
obo16bo2bo2bobo5b2o2b2o13bo2bo\$23b2o49b2o4bobo2bobo14b2o4b2o18b2o4b2o
31b2o4b2o7b2o2b3o13b2o4b2o8b2o15b2o\$24bobob2o45bobo4bo2bo17bobo23bobo
36bobo12bo2bo16bobo8bo5bo15bobo\$23bo2b2obo44bo2b5o20bo2b5o18bo2b5o6b2o
23bo2b5o3b2o7bo14bo2b5o3bobo19bo2b3o\$23b2o49b2o26b2o5bo18b2o5bo7b2o22b
2o5bo2bobo22b2o5bo2bobo20b2o4bo\$79bo27bo25bo8bo29bo4bo29bo4bo27b2o\$78b
obo26b2o24b2o37b2o2b2o29b2o2b2o\$79bobo61b2o\$80bo62bobo\$77bo65bo57b2o\$
77b2o123b2o4b2o\$76bobo122bo5b2o\$209bo3\$139b2o\$18bo119bobo\$16bobo121bo\$
17b2o\$33b2o\$34b2o\$33bo\$36b2o112b2o\$36bobo111bobo\$36bo113bo33\$b2o\$obo\$
2bo!
``````
EDIT: A modification of that method also solves #385 from its counterpart:

Code: Select all

``````x = 149, y = 44, rule = B3/S23
107bo\$108bo\$106b3o2\$88bo\$87bo24bo\$87b3o23bo\$67bo43b3o4bo\$68b2o46b2o\$
67b2o48b2o\$12bo\$10b2o104bo\$11b2o73bobo28bo\$b2o20b2o16b2o23b2o18b2o22b
2o3b3o25b2o\$bo21bo17bo8bo15bo20bo22bo13bo4bo13bo\$2bo21bo17bo7bobo14bo
43bo12bobo2bobo12bo\$b2o20b2o16b2o7b2o14b2o42b2o12b2o3b2o12b2o\$o21bo17b
o24bo43bo32bo\$o21bo5b2o10bo5b2o3b2o12bo5b2o36bo5b2o3b2o20bo\$b2o10bo9b
2o3bobo10b2o3bobo2bobo12b2o3b2o37b2o3b2o3b2o21b2o\$3bob2o5b2o11bo4bo12b
o4bo2bo16bo43bo32bo\$3b2obo5bobo10b5o13b5o20b5o6b2o31b5o3b2o5b2o16b3o\$
72bo7b2o34bo2bobo4b2ob2o17bo\$27bo17bo24bo8bo34bo4bo7b4o16b2o\$26bobo15b
obo23b2o42b2o2b2o8b2o\$27bo17bobo32b2o\$32bo13bo33bobo41bo\$30b2o11bo36bo
42b2o\$b2o24b2o2b2o10b2o62b2o14bobo3bo\$2b2o2b2o19bobo12bobo63b2o6b2o10b
2o\$bo3bo2bo18bo79bo7b2o11bobo\$5bo2bo108bo\$6b2o\$76b2o\$75bobo\$77bo5\$87b
2o\$87bobo23b2o\$87bo24bobo\$114bo!
``````
EDIT 2: Possible predecessor for #136:

Code: Select all

``````x = 12, y = 12, rule = B3/S23
bo\$bo4b2o\$2bo2bo2bo\$obo3bob3o\$b2o2b2o4bo\$4bo3b3o\$b2o2b4o\$b2o\$7b2o\$6bob
o\$2b2o2bo\$2b2o2bo!
``````
EDIT 3: Same idea, different predecessor:

Code: Select all

``````x = 23, y = 20, rule = B3/S23
o\$b2o7b2o\$2o7bo2bo\$10bob3o\$9b2o4bo\$12b3o\$9b4o\$9bo\$10b3o7bo\$12bo7bobo\$
20b2o2\$17b3o\$17bo\$2bo15bo\$2b2o\$bobo\$15b2o\$15bobo\$15bo!
``````
EDIT 4: #153 from #136:

Code: Select all

``````x = 39, y = 39, rule = B3/S23
4bo4bobo\$5bo4b2o\$3b3o4bo2\$30bobo\$30b2o\$31bo8\$3bobo\$4b2o\$4bo\$36bo\$2bo
31b2o\$obo32b2o\$b2o\$37bo\$37b2o\$36bobo\$19b2o\$18bo2bo\$19bob3o\$18b2o4bo\$
18bo2b3o\$20b2o4\$23b2o\$22bobo\$24bo\$3bo\$3b2o\$2bobo!
``````
EDIT 5: #263 from a 15-bitter:

Code: Select all

``````x = 36, y = 36, rule = B3/S23
32bo\$31bo\$31b3o7\$obo\$b2o\$bo2\$17b2o\$16bo2bo\$15bo2bobo\$15bob2obo\$16bo2bo
\$17b2o3\$14b2o17b2o\$14b2o17bobo\$33bo\$14b2o\$14b2o6bobo\$22b2o\$23bo6b2o\$
29b2o\$24b3o4bo\$24bo\$25bo2\$4bo\$4b2o\$3bobo!
``````
EDIT 6: #166 from a trivial variant of a 17-bitter:

Code: Select all

``````x = 135, y = 49, rule = B3/S23
88bo\$89bo\$87b3o5\$93bobo\$94b2o\$94bo3\$50bo\$51bo\$49b3o\$104b2o\$51bo52bobo\$
50b2o53bo7bo\$50bobo60bobo\$5b2o2b2o25b2o2b2o49b2o2b2o16b2o13b2o2b2o\$5bo
2bo2bo9bobo12bo2bo2bo48bo2bo2bo30bo2bo2bo\$7b2obobo4b2o2b2o15b2obobo49b
2obobo31b2ob2o\$8bob2o5bobo2bo16bobobo50bobobo32bobo\$7bo9bo20bo2b2o50bo
2b2o32bo2bo\$6bo31b2o53b2o36b2o\$6b2o15b3o49bobo\$23bo51b2o\$24bo51bo\$12bo
\$b2o8b2o64b2o\$obo8bobo64b2o15b3o\$2bo74bo19bo\$6b3o87bo\$8bo\$7bo3\$86b2o\$
87b2o\$86bo\$63b2o\$64b2o\$63bo18bo\$82b2o\$81bobo2\$103bo4b3o\$102b2o4bo\$102b
obo4bo!
``````
EDIT 7: Better predecessor for #136:

Code: Select all

``````x = 18, y = 15, rule = B3/S23
10b2o\$9bo2bo\$10bob3o\$9b2o4bo\$8bo3b3o\$2bo2bo3b4o\$6bo\$2bo3bo4b2o\$3b4o3bo
bo3b2o\$11bo3b2o\$17bo\$11bo\$bo8b2o\$b2o7bobo\$obo!
``````
I Like My Heisenburps! (and others)

mniemiec
Posts: 1181
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Sokwe wrote:I'm not seeing it. In fact, the entire bottom row seems irrelevant since the synthesis appears to be complete in the third row.
Extrementhusiast wrote:I'm a bit confused as to why you think it's that way, because if I labeled your RLE like this:
Please accept my profound apologies for all the confusion I've caused over this synthesis. When I first created the synthesis for #131, I just took Matthias's related synthesis file and flipped everything over, concentrating on fixing all the steps that were broken. When I found the last one that I couldn't fix, I had spent so much time trying to make it work, I concluded that this synthesis wasn't fully functional yet, so I didn't even notice that this was merely an alternate synthesis path that didn't need to be fixed. The last row is, indeed, totally superfluous (so the fact that it can't be fixed is moot), as has been repeatedly pointed out, but I kept missing that. Thanks for constantly hammering me over the head with this (including the red crayon drawing) until I finally got what you were trying to say.
mniemiec wrote:I'm trying my best not to sound like a typical Internet commenter, so I sincerely apologize if I come off as being a bit blunt and/or rude with this post.
I try to avoid being totally dense, but it does seem to happen on occasion, and in this case, bluntness and "let me say this again in small words, slowly, so you can understand what I am saying" were totally necessary and appropriate. I'm just sorry that it took so long and wasted so much of everyone else's time.
mniemiec wrote:Incomplete synthesis of #131...
Extrementhusiast wrote:Solution for that 20-bitter, using part of pretty much the same method as #143:
A block+boat can be added to a hat-like object directly in one step, saving one glider:

Code: Select all

``````x = 27, y = 9, rule = B3/S23
bo5bo\$bbo3bo15bo\$3o3b3o12boboboo\$10b3o9booboo\$10bo\$bbooboo4bo10booboo\$
3bobo17bobo\$3bobbo16bobbo\$4boo18boo!``````
Extrementhusiast wrote:The same method used to solve #106 can be used to partially solve #331 (and potentially improve #329 and/or #330):
I don't know how to make any of the still-life predecessors. There is a synthesis of a cousin of this one, although the inside tab is on the bottom rather than the top, making it useless for this method. On the plus side, this converter can actually be done with one less glider, which also reduces #106 by one:

Code: Select all

``````x = 36, y = 16, rule = B3/S23
8bo9bo\$7bo9bo\$7b3o7b3o\$\$6bo\$7bo4boo\$5b3o3bobbo\$11b3o\$\$11b3o15booboo\$3o
7bobobo15bobobo\$bbo7bo4bo14bo4bo\$bo9b4o16b4o\$12bo19bo\$10bo19bo\$10boo
18boo!``````
Extrementhusiast wrote:A completely different way to solve #235:
This is cheaper than your previous synthesis. It also makes the carrier-based cousin even cheaper, since rather than making it from #235 (at cost+6), it can be made earlier via the carrier-based cuphook (at cost+2).
Extrementhusiast wrote:Key step for #266:
Extrementhusiast wrote:Additionally, my method for #266 only takes 30 gliders, not a number over 40.
mniemiec wrote:I'll have another look at where I got my numbers.
I had developed a completely different synthesis for it from 40 gliders, at around the same time (and didn't see yours until several days later). I also had yours written down as 32 gliders, based on your "Key step" post, and was confused by the count, since your version in the Oscillator Synthesis thread had only 30. I finally figured it out - you used two 3-glider domino sparks in the "Key step" post, but two 2-glider ones later, reducing it from 32 to 30.
Extrementhusiast wrote:Also, I count 59 still lifes, not 62, although I may have deleted a few when they should not have been. (I'm not currently keeping track of the trivial variants.)
I just compared my version of the stamp collection at the front of this thread with the one currently up there (as of 2/24), and noticed that you listed 3 completed that I didn't:
#131 was, in fact, solved (see above), so this was due to me being stereotypically blond.
#268 is a partial synthesis, based on as-yet-unsynthesized #187.
#316 is a partial synthesis, based on as-yet-unsynthesized #217.
dvgrn wrote:I just spent a few minutes applying sparks to snakes, and quickly got in over my head -- I don't have a very good mental spark library, I guess. But certainly snakes don't seem to be that difficult to make adjustments to...?
Actually, only the snake is necessary. The rest of the base still-life can be removed, resulting in an 18-bit still-life synthesis. If you replace the eater with a tub, you get a 15-bit still-life, and it's much cheaper than the previous way of making this, so this is a useful converter (and, surprisingly, not one I was aware of). The only one I have listed for converting a snake into a curl is from the side, not from the end.
Extrementhusiast wrote:Sure enough, this solves #363, #381, and #384 from their respective 16-bit counterparts:
Excellent! One converter that was missing was a way to convert a snake into a tail-first eater. There are ways of doing it from a cis-carrier, and that can be made easily enough from a snake, but all too often, either the carrier isn't stable in that position at all (as in this case), or requires a ridiculously large amount of temporary scaffolding to hold it in place so it can be converted (and I'll need to go through many similar existing syntheses to see if this can improve them).
Extrementhusiast wrote:#263 from a 15-bitter:
I had tried a similar approach, but kept running into the problem that the traditional (and expensive) beehive-to-loaf converters fail if the beehive is attached at the bottom. Yours is cheaper, and actually requires the attachment, so it should provide a nice complement to the other converters. This looks obvious in retrospect, and I've seen it used in other contexts, but I don't recall seeing it being used as a beehive-to-loaf converter before.

And now for a few new things:

#386 from 31 gliders:

Code: Select all

``````x = 218, y = 36, rule = B3/S23
177bo\$176bo\$172bo3b3o\$173boo7bo\$172boo6boo\$77bobo101boo\$78boo\$78bo9bo\$
84bobbo\$49bo29bobboo3b3o\$49bobo28bobboo37bobo\$49boo27b3o20boboo17boo7b
oboo16boboo26boboo28boo\$bbo98boobo18bo7boobo16boobo26boobo27bobo\$obo
144boo15b4o9boo32bo\$boo45bobo15boo18boo18boo14b3o11boo8bobbo6boo5bo3bo
8bobbo6boo22bo5boo\$22boo18boo4boo12boo3bo14boo3bo14boo3bo16bo7boo3bo9b
oo3boo3bo9bo9boo3boo3bo23b3o3bo\$bbo18bobo17bobo5bo11bobobbo14bobobbo
14bobobbo16bo7bobobbo14bobobbo6bobbo14bobobbo6bobo17bobbo\$bboo3bo12bob
o17bobo17bobo3boo12bobo3boo12bobo3boo22bobo3boo12bobo3boo22bobo3boo5b
oo18bobo\$bobo3bobo9bobo17bobo5boo10bobo17bobo17bobo20bo6bobo17bobo27bo
bo12bo19bo\$7boo11bo19bo6bobobboo6bo19bo19bo21boo6bo19bo3bo25bo3bo\$47bo
3boo68bobo29bobo27bobo10bo\$53bo99bobo27bobo10bobo\$154bo16b3o10bo11boo\$
173bo\$133boo3bo33bo22bo\$128boobboboboo37boo17boo\$129boo3bobboo35bobo
17bobo\$128bo47bo4\$183b3o\$182bobbo\$185bo\$185bo\$182bobo!
``````
The above mechanism also enables the construction of several circular pseudo-objects.

Almost complete synthesis of 23-bit period-2 pseudo-oscillator from 88+n gliders. (This was supposed to be the 21-bit one, but I only noticed it was the wrong size after it was finished. I'm glad I did it, because it provided most of the vital pieces for the next synthesis):

Code: Select all

``````x = 215, y = 175, rule = B3/S23
56bo\$56bobo\$56boo3\$178bo\$177bo\$177b3o4\$94bobo\$48bobo43boo\$48boo45bo
105bo\$49bo18bobbo16bobbo16bo19bo19bo19bo29bobobo\$66b6o14b6o4boo8b3o17b
3o7bo9b3o17b3o27b3oboo\$27boo18boo16bo19bo9boo8bo19bo10bobo6bo19bo29bo\$
6bobo17bobbo16bobbo15bobboo15bobboo7bo7bobb3o14bobb3o5boo7bobb3oboo11b
obb3oboo21bobb4o\$7boo17bobbo12boobbobbo14boobobo14boobobo14boobobbo13b
oobobbobboo9boobobboboo10boobobboboo6boo12boobobbobo\$7bo19boo14boobboo
16boboo16boboo18bo19bo5bobo11bo19bo8boobbobo14bo5bo\$42bo22bo19bo21boo
18boo4bo13boo18boo8boobo16boo5bo\$6boo56boo18boo90bo26boo\$5bobo\$7bo\$81b
oo\$82boobbo\$30b3o48bo3boo\$32bo52bobo77bo\$31bo133boo\$164bobo11\$20bobo\$
20boo\$21bo\$11bo29bo19bo19bo19bo19bo19bo29bo\$8bobobo9boo14bobobo15bobob
o15bobobo15bobobo15bobobo15bobobo25bobobo\$6b3oboo10bobo11b3oboo14b3ob
oo14b3oboo14b3oboo14b3oboo14b3oboo24b3oboo\$5bo16bo12bo19bo19bo19bo19bo
19bo29bo\$5bobb4o23bobb4o13bobb4o13bobb4o13bobb4o13bobb4o13bobb4o23bobb
4o\$4boobobbobo7bo13boobobbobobo9boobobbobobo9boobobbobobo9boobobbobobo
9boobobbobobo9boobobbobobo19boobobbobobo\$7bo5bo5boo16bo5boo12bo5boo12b
o5boo12bo5boo12bo5boo12bo5boo22bo5boo\$7boo5bo4bobo15boo18boo18boo18boo
18boo18boo25booboo\$13boo148bobobo\$77boo18boo18boo18boo25bo3bo\$58b3o16b
oo18boo18boo18boo30bobo\$58bo111boo\$59bo61boo5boo11boo\$15bo39b3o63bobo
5boo10bobo\$14boo41bo64bo5bo13bo13b4o\$14bobo39bo98b6o\$148boo4boob4o\$
112bo35bobo4boo\$111bo28boo6bo\$111b3o17boo6boo\$107b3o22boo7bo\$100b3o4bo
23bo3b3o\$102bo5bo26bo\$101bo34bo13\$57bo\$13bo43bobo\$13bobo41boo\$13boo38b
o\$11bo39bobo\$8bobobobb3o10boboo14bo5boo4boboo18boo18boo28boo18boo18boo
38boo\$6b3oboo3bo10b3oboo15bo8b3oboo18boo18boo28boo18boo18boo38boo\$5bo
10bo8bo19b3o7bo130b3o\$5bobb4o13bobb4o17boo4bobb4o16b4o16b4o26b4o16b4o
16b4o13bo3bo18b4o\$4boobobbobobo9boobobbobobo15boobboobobbobobo12bobbob
obo12bobbobobo22bobbobobo12bobbobobo12bobbobobo14bo17bobbobobo\$7bo5boo
12bo5boo14bo7bo5boo12bo5boo12bo5boo22bo5boo12bo5boo12bo5boo12boo18bo5b
oo\$4booboo15booboo25booboo15booboo15booboo25booboo15booboo15booboo18bo
16booboo\$3bobobo16boobo26boobo16boobo16boobo26boobo5boo9boobo5boo9boob
o36boobo\$4bo3bo19bo29bo19bo19bo12bobbo13bo4boo13bo4boo13bo18bo20bo3boo
\$3o6bobo17bobo12b3o12bobo17bobo17bobo8bo18bo19bo19bo39bobbobo\$bbo7boo
18boo14bo13boo18boo18boo8bo3bo13boo18boo5b3o10boo38boo3bo\$bobboo39bo
64b4o41bo\$4bobo149bo\$4bo\$\$99boo\$90boo6boo\$91boo7bo\$90bo3b3o11b3o\$94bo
13bo\$95bo13bo3\$158bo\$159bo\$157b3o3bo\$153bo7boo\$154boo6boo\$153boo\$\$10b
oo18boo18boo18boo18boo28boo28boo38boo\$10boo18boo18boo18boo18boo28boo
28boo38boo\$\$8b4o16b4o16b4o16b4o16b4o9bobo14b4o26b4o36b4o\$7bobbobobo12b
obbobobo12bobbobobo12bobbobobo12bobbobobo7boo13bobbobobo22bobbobobo32b
obbobo\$7bo5boo12bo5boo12bo5boo12bo5boo12bo5boo7bo14bo5boo22bo5boo32bo
5bo\$4booboo15booboo15booboo15booboo15booboo25booboo8boo15booboo8boo9b
4o12booboo5bo\$4boobo16boobo16boobo16boobo16boobo13b3o10boobo8bobbo14b
oobo8bobbo8bo3bo11boobo7bo\$8bo3boo14bo3boo14bo3boo14bo3boo14bo3boo7bo
16bo3boo3boo19bo3boo3boo9bo19bo3b3o\$9bobbobo14bobbobo14bobbobo14bobbob
o14bobbobo7bo16bobbobo15bobo6bobbobo14bobbo16bobbo\$8boo3bo14boo3bobo
12boo3bobo12boo3bobo12boo3bobo22boo3bobo15boo5boo3bobo34bobo\$18bo15bo
19bo19bobo17bobo6bo20bobo14bo12bobo34bo\$16boo41bo15bo19bo6boo17bo3bo
25bo3bo\$13boobboo38boo43bobo15bobo16bo10bobo\$13bobo38boobboo60bobo14bo
bo10bobo\$13bo40bobo64bo16boo11bo10b3o\$54bo107bo\$87bo3boo47bo22bo\$88boo
bobobboo42boo17boo\$87boobbo3boo42bobo17bobo\$97bo61bo4\$150b3o\$150bobbo\$
150bo\$150bo\$63bo87bobo\$64bo\$62b3o\$\$68bo13bo\$67bo5bo8bobo\$67b3o3bobo6b
oo\$73boo\$\$63bo\$61bobo\$62boo11bobo\$10boo28boo28boo3boo\$10boo28boo15bobo
10boo4bo\$17bo40boo\$8b4o5bobo18b4o4boo10bo9b4o4boo21booboo\$7bobbobo4boo
18bobbobo3boo19bobbobo3boo22bobo\$7bo5bo6boo15bo5bo23bo5bo23bo5bo\$4boob
oo5bo5bobo11booboo5bo19booboo5bo22boo5bo\$4boobo7bo4bo13boobo7bo18boobo
7bo4b3o22bo\$8bo3b3o23bo3b3o23bo3b3o5bo16boo3b3o\$9bobbo26bobbo18bo7bobb
o8bo15bobobbo\$10bobo27bobo19boo6bobo27bobo\$11bo29bo19boo8bo29bo3\$63bo\$
63boo\$62bobo6boo\$71bobo\$56b3o12bo\$58bo\$57bo!
``````
Almost complete synthesis of one of the four missing 21-bit period-2 pseudo-oscillators from 135+n gliders:

Code: Select all

``````x = 261, y = 265, rule = B3/S23
62bo\$62bobo\$62boo3\$184bo\$183bo\$183b3o4\$100bobo\$54bobo43boo\$54boo45bo
105bo\$55bo18bobbo16bobbo16bo19bo19bo19bo29bobobo\$72b6o14b6o4boo8b3o17b
3o7bo9b3o17b3o27b3oboo\$33boo18boo16bo19bo9boo8bo19bo10bobo6bo19bo29bo\$
12bobo17bobbo16bobbo15bobboo15bobboo7bo7bobb3o14bobb3o5boo7bobb3oboo
11bobb3oboo21bobb4o\$13boo17bobbo12boobbobbo14boobobo14boobobo14boobobb
o13boobobbobboo9boobobboboo10boobobboboo6boo12boobobbobo\$13bo19boo14b
oobboo16boboo16boboo18bo19bo5bobo11bo19bo8boobbobo14bo5bo\$48bo22bo19bo
21boo18boo4bo13boo18boo8boobo16boo5bo\$12boo56boo18boo90bo26boo\$11bobo\$
13bo\$87boo\$88boobbo\$36b3o48bo3boo\$38bo52bobo77bo\$37bo133boo\$170bobo11\$
26bobo170bo\$26boo171bobo\$27bo171boo\$17bo29bo19bo19bo19bo19bo19bo29bo
19bo\$14bobobo9boo14bobobo15bobobo15bobobo15bobobo15bobobo15bobobo25bob
obo15bobobobb3o10boboo\$12b3oboo10bobo11b3oboo14b3oboo14b3oboo14b3oboo
14b3oboo14b3oboo24b3oboo14b3oboo3bo10b3oboo\$11bo16bo12bo19bo19bo19bo
19bo19bo29bo19bo10bo8bo\$11bobb4o23bobb4o13bobb4o13bobb4o13bobb4o13bobb
4o13bobb4o23bobb4o13bobb4o13bobb4o\$10boobobbobo7bo13boobobbobobo9boobo
bbobobo9boobobbobobo9boobobbobobo9boobobbobobo9boobobbobobo19boobobbob
obo9boobobbobobo9boobobbobobo\$13bo5bo5boo16bo5boo12bo5boo12bo5boo12bo
5boo12bo5boo12bo5boo22bo5boo12bo5boo12bo5boo\$13boo5bo4bobo15boo18boo
18boo18boo18boo18boo25booboo15booboo15booboo\$19boo148bobobo15bobobo16b
oobo\$83boo18boo18boo18boo25bo3bo15bo3bo19bo\$64b3o16boo18boo18boo18boo
30bobo8b3o6bobo17bobo\$64bo111boo10bo7boo18boo\$65bo61boo5boo11boo38bobb
oo\$21bo39b3o63bobo5boo10bobo40bobo\$20boo41bo64bo5bo13bo13b4o24bo\$20bob
o39bo98b6o\$154boo4boob4o\$118bo35bobo4boo\$117bo28boo6bo\$117b3o17boo6boo
\$113b3o22boo7bo\$106b3o4bo23bo3b3o\$108bo5bo26bo\$107bo34bo9\$67bo47bo\$65b
obo48boo\$66boo47boo\$119bobo\$13bo54bo50boo\$13bobo46boboboo52bo\$13boo48b
oobboo111bo\$9bo53bo115bo27boo\$7bobo76bo19bo29bo8b3o18bo8b3ob3o14bo9bo
bbo\$bbo5boo4boboo18boo28boo17bobo17bobo27bobo27bobo27bobo8bobo\$3bo8b3o
boo18boo28boo18boo18boo28boo28boo28boo9bo\$b3o7bo44bo\$5boo4bobb4o16b4o
19boo5b4o16b4o16b4o26b4o26b4o26b4o\$6boobboobobbobobo12bobbobobo15boo5b
obbobobo12bobbobobo12bobbobobo22bobbobobo22bobbobobo22bobbobobo\$5bo7bo
5boo12bo5boo11bo10bo5boo9bobbo5boo9bobbo5boo19bobbo5boo19bobbo5boo19bo
bbo5boo\$10booboo15booboo18bobbo3booboo14boboboo14boboboo24boboboo24bob
oboo24boboboo\$10boobo16boobo17b3obboobboobo16boobo16boobo26boobo26boob
o26boobo\$14bo19bo20bobo6bo19bo19bo29bo29bo29bo\$3o12bobo17bobo27bobo17b
obo17bobo27bobo27bobo27bobo\$bbo13boo18boo28boo18boo18boo28boo28boo28b
oo\$bo15\$67bobo\$70bo\$70bo\$22bo44bobbo\$21bo46b3o\$21b3o\$\$7bo\$5bobo\$6boo\$
23bo41bo\$24bo38bobo\$22b3obboo35boo\$16bo9bobbo94bo\$15bobo8bobo15boo28b
oo18boo18boo6boo20boo18boo18boo38boo\$16boo9bo16boo28boo18boo18boo7boo
19boo18boo18boo38boo\$126boo49bo26b3o\$14b4o26b4o26b4o16b4o16b4o8bobo15b
4obo14b4obo5boo7b4obo13bo3bo16b4obo\$13bobbobobo22bobbobobo22bobbobobo
9boobobbobobo9boobobbobobo5bo13boobobboboo10boobobboboo6boobboobobbob
oo17bo12boobobboboo\$bboo6bobbo5boo19bobbo5boo19bobbo5boo9boobo5boo9boo
bo5boo19boobo16boobo16boobo21boo13boobo\$3boo4boboboo24boboboo24boboboo
18boo18boo28boo18boo18boo20bo17boo\$bbo7boobo26boobo26boobo19bo19bo29bo
19bo19bo39bo3boo\$14bo29bo29bo19bo19bo8b3o18bo19bo19bo20bo18bobbobo\$15b
obo27bobo27bobo17bobo17bobo5bo21bobo17bobo15boo38boo3bo\$16boo28boo28b
oo18boo18boo6bo21boo18boo\$60b3o110boo\$62bo3boo104boo\$61bo3bobo106bo\$
67bo96boo\$69b3o83boo6boo\$69bo86boo7bo\$70bo84bo3b3o\$159bo\$160bo13\$163bo
\$164bo\$162b3o3bo\$158bo7boo\$159boo6boo\$158boo3\$14boo18boo18boo18boo18b
oo28boo28boo38boo\$14boo18boo18boo18boo18boo28boo28boo38boo\$106bobo\$14b
4obo14b4obo14b4obo14b4obo14b4obo7boo15b4obo24b4obo34b4o\$10boobobboboo
10boobobboboo10boobobboboo10boobobboboo10boobobboboo7bo12boobobboboo
20boobobboboo30boobobbobo\$10boobo16boobo16boobo16boobo16boobo26boobo8b
oo16boobo8boo9b4o13boobo5bo\$13boo18boo18boo18boo18boo11b3o14boo6bobbo
18boo6bobbo8bo3bo15boo5bo\$13bo3boo14bo3boo14bo3boo14bo3boo14bo3boo7bo
16bo3boo3boo19bo3boo3boo9bo19bo3b3o\$14bobbobo14bobbobo14bobbobo14bobbo
bo14bobbobo7bo16bobbobo15bobo6bobbobo14bobbo16bobbo\$13boo3bo14boo3bobo
12boo3bobo12boo3bobo12boo3bobo22boo3bobo15boo5boo3bobo34bobo\$23bo15bo
19bo19bobo17bobo6bo20bobo14bo12bobo34bo\$21boo41bo15bo19bo6boo17bo3bo
25bo3bo\$18boobboo38boo43bobo15bobo16bo10bobo\$18bobo38boobboo60bobo14bo
bo10bobo\$18bo40bobo64bo16boo11bo10b3o\$59bo107bo\$92bo3boo47bo22bo\$93boo
bobobboo42boo17boo\$92boobbo3boo42bobo17bobo\$102bo61bo4\$155b3o\$155bobbo
\$155bo\$155bo\$156bobo12\$219bo\$220bo\$14bo91bo111b3o\$14bobo87boo\$14boo89b
oo127bo\$100bobo131bobo\$13bo87boo131boo\$14boobobo81bo116bo\$13boobboo40b
obo89bo65bo\$18bo40boo91bo30boo28boobb3o\$35bo15bobo6bo4bo19bo29bo8b3o8b
o14b3ob3o8bo16bobbo9bo16bobbo9bo\$6bo7boo18bobo15boo3bo6bobo17bobo27bob
o17bobo27bobo16bobo8bobo16bobo8bobo29boo\$7boo5boo18boo16bobboo7boo18b
oo28boo18boo28boo18bo9boo18bo9boo30boo\$6boo48boo\$bbo11b4o12bo3b4o22bo
3b4o16b4o26b4o16b4o26b4o26b4o26b4o26b4o\$3bobbo3boobobbobo10bobobobbobo
20bobobobbobo12bobobbobo22bobobbobo12bobobbobo22bobobbobo22bobobbobo
22bobobbobo22bobobbobo\$b3obboobboobo5bo10boobo5bo20boobo5bo9b3obo5bo
19b3obo5bo9b3obo5bo19b3obo5bo19b3obo5bo19b3obo5bo8boo9b3obo5bo\$5bobo5b
oo5bo12boo5bo22boo5bo7bo4boo5bo17bo4boo5bo7bo4boo5bo17bo4boo5bo17bo4b
oo5bo17bo4boo5bo6boo9bo4boo5bo\$13bo3b3o13bo3b3o23bo3b3o8boo3bo3b3o18b
oo3bo3b3o8boo3bo3b3o18boo3bo3b3o18boo3bo3b3o18boo3bo3b3o9bo8boo3bo3b3o
\$14bobbo16bobbo26bobbo16bobbo26bobbo16bobbo26bobbo26bobbo26bobbo26bobb
o\$15bobo17bobo18boo7bobo17bobo27bobo17bobo27bobo27bobo27bobo27bobo\$16b
o19bo20boo7bo19bo29bo19bo29bo29bo29bo29bo\$56bo\$\$60b3o\$60bo\$61bo3\$209bo
\$210bo\$208b3o\$\$214bo13bo\$213bo5bo8bobo\$110bo102b3o3bobo6boo\$109bo109b
oo\$109b3o\$107bo101bo\$101bo3bobo99bobo\$102bo3boo100boo11bobo\$16boo18boo
28boo18boo12b3o13boo18boo18boo28boo28boo3boo\$16boo18boo28boo18boo28boo
18boo18boo28boo15bobo10boo4bo\$163bo40boo\$5bo8b4o16b4o17bobo6b4o16b4o
26b4o16b4o16b4o5bobo18b4o4boo10bo9b4o4boo21booboo\$6bo4bobobbobo11boobo
bbobo12b3obboobboobobbobo11boobobbobo21boobobbobo14bobbobo14bobbobo4b
oo18bobbobo3boo19bobbobo3boo22bobo\$4b3obb3obo5bo10boobo5bo13bobbo3boob
o5bo9bobobo5bo19bobobo5bo13bo5bo13bo5bo6boo15bo5bo23bo5bo23bo5bo\$8bo4b
oo5bo12boo5bo11bo10boo5bo9bobboo5bo19bobboo5bo9booboo5bo9booboo5bo5bob
o11booboo5bo19booboo5bo22boo5bo\$8boo3bo3b3o13bo3b3o16boo5bo3b3o13bo3b
3o23bo3b3o10boobo3b3o10boobo3b3o6bo13boobo3b3o20boobo3b3o6b3o18b3o\$14b
obbo16bobbo19boo5bobbo16bobbo26bobbo16bobbo16bobbo26bobbo26bobbo8bo16b
oobbo\$15bobo17bobo18bo8bobo17bobo27bobo17bobo17bobo27bobo19bo7bobo9bo
15bobobo\$16bo19bo29bo19bo29bo19bo19bo29bo21boo6bo29bo\$207boo\$\$104boo\$
103bobo103bo\$105bo103boo\$208bobo6boo\$115boo100bobo\$114boo86b3o12bo\$
116bo87bo\$203bo!
``````
Both of the above syntheses are missing one crucial step - inserting a boat into a very tight position. I believe that it's possible, but will also likely not be very pleasant:

Code: Select all

``````x = 31, y = 11, rule = B3/S23
6boo\$6boo17boo\$25boo\$4b4o\$3bobbobobo14b4obo\$3bo5boo10boobobboboo\$ooboo
16boobo\$oobo20boo\$4bo3boo14bo3boo\$5bobbobo14bobbobo\$4boo3bo14boo3bo!``````
For the 23-bit version, if one of the snakes is created shorter, it's easy to add the boat, but then lengthening the snake with the boat nearby becomes a problem.

The following half-baked idea might eventally yield #281, missing a vital spark in the bottom left stage:

Code: Select all

``````x = 148, y = 54, rule = B3/S23
85bo\$43bo39bobo\$42bo41boo\$8bobo31b3o45bo\$8boo28bo49boo\$9bo29boo48boo\$
38boo52boo11bo19bo19bo\$24boo18boo18boo18boo6bobo9bobo17bobobb3o12bobo\$
23bobo17bobo14boobobo14boobobo6bo7boobobo14boobobo3bo10boobobobo\$22bo
19bo18bobo17bobo17bobo17bobo6bo10bobobbo\$21bo19bo18bobbo16bobbo16bobbo
16bobbo4bo11bobbo\$21boo18boo17bobo17bobo17bobo17bobo5boo10bobo\$5bo55bo
19bo19bo19bo5bobo11bo\$4boo37b3o\$o3bobo36bo\$boo41bo\$oo9boo\$11bobo\$11bo
19\$49bo\$47bobo\$48boo\$\$50bo\$50bobo3bo\$50boobboo\$55boo\$\$5bo19bo19bo\$4bob
o17bobo17bobo17bo\$oobobobo12boobobobo12boobobobo12boobobo\$bobobbo14bob
obbo14bobobbo14bobobbo\$obbo3b3o10bobb3o14bobb3o14bobb3o\$obobb5o10bobo
17bobo17bobo\$bo5boo12bobo17bobo17bobo\$bboo18bo19bo19bo!
``````

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

### Re: 17-bit SL Syntheses

#186, #191, and #341 are surprisingly similar to one another:

Code: Select all

``````x = 32, y = 7, rule = B3/S23
2b2o10b2o10b2o\$bo2bo8bo2bob2o5bo2bo\$obob3o5bobobobo5bobob3o\$bobo3bo5bo
bo2bo6bobo3bo\$3bo2b2o7bobo9bo2bo\$3b2o10b2o10bobo\$28bo!``````
EDIT: #317 from a trivial variant of a 17-bitter not on the list:

Code: Select all

``````x = 122, y = 37, rule = B3/S23
21bo\$22b2o\$21b2o3\$2bo\$obo5bo\$b2o6b2o14bo\$8b2o16b2o\$25b2o2\$31b2o\$8bobo
6b2o12bobo\$9b2o6bobo12bo\$4b2o3bo9bo2bo29b2o2bo28b2o2bo25b2o2bo\$3bobo
13bobobo28bo2bobo27bo2bobo24bo2bobo\$5bo14b2o2bo28bobo2bo27bobo2bo24bob
o2bo\$22b2obo28bob3o15bobo10bob3o25bob3o\$22bo2bo29bo19b2o11bo29bo\$23b2o
31b3o16bo8b2o3b3o7bo19bo\$28b2o20b3o5bo25b2o5bo7bobo16b2o\$29b2obobo17bo
46b2o\$28bo3b2o17bo\$33bo19b3o40b3o\$53bo42bo\$10b2o42bo42bo\$11b2o\$10bo68b
2o5b2o\$24b3o51bobo4bobo9b2o\$13b3o8bo55bo6bo9bobo\$15bo9bo64b2o5bo\$14bo
76b2o\$90bo2\$5b2o\$6b2o\$5bo!
``````
Also, I think the mismatch in numbering came from me taking dvgrn's suggestion of deleting SLs from the list if they were synthesized from another SL on the list, while you do not do such a thing.

EDIT 2: This method solves both #309 and #359:

Code: Select all

``````x = 54, y = 21, rule = B3/S23
obo30bobo15bobo\$b2o31b2o15b2o\$bo32bo17bo3\$2bobo30bobo11bobo\$3b2o31b2o
11b2o\$3bo32bo13bo3\$17bo\$5b2o9bo21b2o7b2o\$5bobo8b3o19bobo5bobo\$7bo32bo
5bo\$6bo5b2o5b3o17bo7bo\$7b3obobo5bo20b3ob3o\$9bobo8bo21bobo\$9bobo30bobo\$
b2o7bo23b2o7bo7b2o\$obo30bobo15bobo\$2bo32bo15bo!
``````
I Like My Heisenburps! (and others)

dvgrn
Moderator
Posts: 7198
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: 17-bit SL Syntheses

mniemiec wrote:Both of the above syntheses are missing one crucial step - inserting a boat into a very tight position. I believe that it's possible, but will also likely not be very pleasant...
This looks like it would require significant black magic. I don't know any method that's better than variants of this reaction --

Code: Select all

``````x = 10, y = 19, rule = LifeHistory
3.A\$2.A.A\$2.A.A\$3.A2\$7.2A\$6.A2.A\$7.2A2\$3A7\$3A\$2.A\$.A!``````
-- which is not quite good enough, and it seems to indicate that converting a glider into a boat at the last minute will always overstep the boundary in this same way. One way of stating the problem is that it's hard to turn on that last cell at the point of the boat, without also ending up with three ON cells in a row along one edge or another -- and three ON cells means you need a birth-suppressing cell in a forbidden location beyond the edge.

It would be nice to be able to use a diagonally symmetric reaction, since the final result is symmetrical. But to turn on the point of the boat, you have to have an ON cell in the center of the boat, one tick before -- and turning that cell ON and then OFF again seems to need more neighbors than are actually available in that constricted space. The symmetric three-cell combinations that could turn that cell ON don't seem to be workable, and the asymmetric ones tend to cause side-effect births beyond the boundary.

But so far I haven't quite been able to prove that it can't be done, so don't let me discourage anyone...! Do you have an almost-working sample reaction that makes this look less impossible?

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

### Re: 17-bit SL Syntheses

dvgrn wrote:
mniemiec wrote:Both of the above syntheses are missing one crucial step - inserting a boat into a very tight position. I believe that it's possible, but will also likely not be very pleasant...
This looks like it would require significant black magic. I don't know any method that's better than variants of this reaction --

Code: Select all

``````x = 10, y = 19, rule = LifeHistory
3.A\$2.A.A\$2.A.A\$3.A2\$7.2A\$6.A2.A\$7.2A2\$3A7\$3A\$2.A\$.A!``````
-- which is not quite good enough, and it seems to indicate that converting a glider into a boat at the last minute will always overstep the boundary in this same way. One way of stating the problem is that it's hard to turn on that last cell at the point of the boat, without also ending up with three ON cells in a row along one edge or another -- and three ON cells means you need a birth-suppressing cell in a forbidden location beyond the edge.

It would be nice to be able to use a diagonally symmetric reaction, since the final result is symmetrical. But to turn on the point of the boat, you have to have an ON cell in the center of the boat, one tick before -- and turning that cell ON and then OFF again seems to need more neighbors than are actually available in that constricted space. The symmetric three-cell combinations that could turn that cell ON don't seem to be workable, and the asymmetric ones tend to cause side-effect births beyond the boundary.

But so far I haven't quite been able to prove that it can't be done, so don't let me discourage anyone...! Do you have an almost-working sample reaction that makes this look less impossible?
Something a bit more reasonable could be to start with a block and then turn that into a boat.
I Like My Heisenburps! (and others)

mniemiec
Posts: 1181
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

Extrementhusiast wrote:Sure enough, this solves #363, #381, and #384 from their respective 16-bit counterparts:
You can save one glider from the bottom one (#363). The new standard 3-glider boat-to-block method (from behind) won't work here, so you use a 4-glider one. However, the older standard 3-glider from-the-side method does work:

Code: Select all

``````x = 29, y = 12, rule = B3/S23
4bo4bo\$5b2o2bobo\$4b2o3b2o2b2o\$12b2o\$b2o11bo6b2o4bo\$o2bo3b2o11bo2bo2bob
o\$b2o4b2o12b2o4b2o\$2bobo17bobo\$bo2b5o12bo2b5o\$b2o5bo12b2o5bo\$6bo19bo\$
6b2o18b2o!``````
Extrementhusiast wrote:#153 from #136:
A standard loaf-to-feather converter saves one glider. Also, if #153 is solved first, it can be turned back into #136 using a slightly altered feather-to-loaf converter:

Code: Select all

``````x = 38, y = 50, rule = B3/S23
16bobo\$16boo\$17bo\$6bo\$7bo\$5b3o14bo\$20boo\$21boo\$\$13boo\$12bobbo\$3bobo7b
oo\$4boo\$4bo\$12boo17boo\$bbo8bobbo16bobbo\$obo9bob3o15bob3o\$boo8boo4bo13b
oo4bo\$11bobb3o14bobb3o\$3bo9boo18boo\$3boo\$bbobo14\$12bo\$10bobo\$11boo\$\$9b
o3bo14boo\$7bobo3bobo11bobbo\$8boo3boo13boo3\$8booboo19boo\$3bobobboobobbo
16bobbo\$4boo6bob3o15bob3o\$4bo3booboo4bo13boo4bo\$8boobobb3o14bobb3o\$13b
oo18boo!``````
Extrementhusiast wrote:#263 from a 15-bitter:
Sadly, this beehive-to-loaf method doesn't generalize to loaf-to-mango (which would be useful for #227, which looks fairly similar). An adaptation of this beehive-to-loaf converter gives us #316 from 26 gliders (and also an alternate synthesis of #328 from 28 gliders, but other ways are cheaper). It's likely that the convoluted way of adding the bottom claw from 9 gliders can be improved:

Code: Select all

``````x = 236, y = 84, rule = B3/S23
174bobo\$175boo\$16bo7bobo148bo\$17boo6boo96bo\$16boo7bo98bo57bo\$122b3o57b
obo\$31bobo92bo55boo\$31boo92bo\$32bo7bo5bobo76b3o17boo28boo\$40bobo3boo
97boo28boo\$40boo5bo\$59boobbo15boobbo15boobbo15boobbo15boobbo17bo7boobb
o15boobbo15boobbo15boobbo\$18bobo17boo19bobbobo14bobbobo14bobbobo14bobb
obo14bobbobo17bo6bobbobo5bobo6bobbobo14bobbobo14bobbobo\$19boo16boo21bo
bobo15bobobo15bobobo15bobobo15bobobo15b3o7bobobo5boo8bobobbo14bobobbo
14bobobbo\$19bo19bo21bobo17bobo17bobo12bo4bobo17bobo27bobo7bo9boboo16bo
boo16boboo\$62bo19bo19bo11bobo5bo19bo29bo19bo19bo19bo\$115boo66bo6bobo
17bobo17bobo\$36b3o79boo19boo28boo12bobo4boo18boo18boo\$23boo11bo48bobo
15bo13bobo3bo15boobbo25boobbo9boo\$22bobo12bo47boo16b3o13bo3b3o17b3o27b
3o19bo19bo\$24bo61bo19bo19bo19bo29bo5bo11bobo17bobo\$105boo18boo18boo28b
oo4boo12boo18boo\$87b3o91bobo28boo\$87bo72b3o48bobo\$88bo73bo9boo39bo\$
161bo9boo\$173bo\$\$167boo\$166bobo\$168bo\$173boo\$173bobo\$173bo17\$174bobo\$
175boo\$175bo\$123bo\$41bo82bo57bo\$bo37bobo80b3o57bobo\$bbo37boo84bo55boo\$
3o122bo\$46bo78b3o17boo28boo\$47boo96boo28boo\$bo34boo8boo4bo9bo19bo19bo
19bo19bo29bo19bo19bo19bo\$o22bo13boo4bo7bo9bobo17bobo17bobo17bobo17bobo
17bo9bobo17bobo17bobo17bobo\$3o19bobo11bo5bobo6b3o6bobobo15bobobo15bobo
bo15bobobo15bobobo17bo7bobobo5bobo7bobobo15bobobo15bobobo\$6b3o13boo18b
oo16bobobo15bobobo15bobobo15bobobo15bobobo15b3o7bobobo5boo8bobobbo14bo
bobbo14bobobbo\$6bo13boo18boo8bo10bobo17bobo17bobo12bo4bobo17bobo27bobo
7bo9boboo16boboo16boboo\$b3o3bo13bo19bo7boo11bo19bo19bo11bobo5bo19bo29b
o19bo19bo19bo\$3bo17bobo10boo5bobo5bobo63boo66bo6bobo17bobo17bobo\$bbo
19boo9bobo6boo74boo19boo28boo12bobo4boo18boo18boo\$35bo49bobo15bo13bobo
3bo15boobbo25boobbo9boo\$85boo16b3o13bo3b3o17b3o27b3o19bo19bo\$86bo19bo
19bo19bo29bo5bo11bobo17bobo\$38boo65boo18boo18boo28boo4boo12boo18boo\$
37bobo47b3o91bobo28boo\$39bo47bo72b3o48bobo\$88bo73bo9boo39bo\$161bo9boo\$
173bo\$\$167boo\$166bobo\$168bo\$173boo\$173bobo\$173bo!``````
There seem to be certain kinds of structures that are unusually difficult to synthesize. For example, 12 of the remaining 50 still-lifes (almost a quarter of them) have a snake-bridge-with-domino protruding from one side:

Code: Select all

``````o.oo..
oo.o..
....oo``````
while 8 have a feather-with-tail:

Code: Select all

``````oo.oo
.o..o
.o.o.
..o..``````
Perhaps finding general-purpose ways of adding these could remove multiple objects from the list at once.
Extrementhusiast wrote:#186, #191, and #341 are surprisingly similar to one another:
Not to mention one of the four remaning unsolved 21-bit P3s (i.e. that corner on trice-tongs)
Extrementhusiast wrote:Also, I think the mismatch in numbering came from me taking dvgrn's suggestion of deleting SLs from the list if they were synthesized from another SL on the list, while you do not do such a thing.
I don't remove them, for two reasons. First, the objects are not, in fact, synthesizable from scratch yet. Second, there may still be alternate ways of making the objects. In fact, I believe that a few objects that had originally been partials (built from other unbuildable ones) have been solved a different way, while their original predecessors remain unsolved - and they would not now be solved if they had been removed froam consideration. (Of course, I did this same exact thing when creating the list initially - by removing all the objects that could be trivially made from ones on the list, so I suppose I'm not being terribly consistent!)

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

### Re: 17-bit SL Syntheses

This solves #100:

Code: Select all

``````x = 44, y = 33, rule = B3/S23
32bobo\$32b2o\$33bo6\$22bo\$16bo3b2o\$14bobo4b2o\$15b2o11b2o\$24b2obo2bob2obo
\$24b2obo2bobob2o\$28b2o13bo\$13bo27b2o\$12bobo27b2o\$12b2o4\$9b2o\$10b2o\$9bo
8bo\$18b2o17b2o\$17bobo17bobo\$37bo2\$25bo\$25b2o\$2o22bobo\$b2o\$o!
``````
I Like My Heisenburps! (and others)

dvgrn
Moderator
Posts: 7198
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: 17-bit SL Syntheses

Seems as if #244 and #245 ought to be solvable by a simultaneous addition and conversion --

Code: Select all

``````x = 27, y = 9, rule = B3/S23
b2o13b2o\$b3o12b3o\$4o11b4o\$o2b2ob2o7bo2b2ob2o2\$4b2o2bob2o7b2o2bob2o\$5bo
2b2obo8bo2b2obo\$4bo13bo\$4b2o12b2o!``````
-- or any number of variations on the same theme. But I don't know how to build a complex spark like that, short of writing a search program to collide gliders at random (and/or maybe gliders and small still lifes) and look around the edges for the right shape of dying spark.

Might there be any reasonably easy way to convert the current automatic synthesis database into pictures of sparks, or some kind of lookup table, so that I'd have a shot at being able to figure out what's already known? I do enjoy incompetently mucking around with glider syntheses now and then, but at this rate I probably won't ever manage to commit enough detail to memory to know how to apply "standard tools" consistently to new problems.

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

### Re: 17-bit SL Syntheses

dvgrn wrote:Seems as if #244 and #245 ought to be solvable by a simultaneous addition and conversion --

Code: Select all

``````x = 27, y = 9, rule = B3/S23
b2o13b2o\$b3o12b3o\$4o11b4o\$o2b2ob2o7bo2b2ob2o2\$4b2o2bob2o7b2o2bob2o\$5bo
2b2obo8bo2b2obo\$4bo13bo\$4b2o12b2o!``````
-- or any number of variations on the same theme. But I don't know how to build a complex spark like that, short of writing a search program to collide gliders at random (and/or maybe gliders and small still lifes) and look around the edges for the right shape of dying spark.
I was actually thinking of something more along these lines:

Code: Select all

``````x = 55, y = 25, rule = B3/S23
o\$obo\$2o18b3o\$8b2o7bo2bo25b2o\$bo5bobo6b3ob3o17b2o3bobo\$obobobo10bo2bob
o16bo2bobo\$b2ob2o14b3o16b2ob2o4\$31bo19bo\$30bo21bo\$29bo23bo\$29bo23bo\$
28bo8b2o15bo\$28bo8bo2b2o12bo\$28bo9b2o2bob2o8bo\$28bo10bo2b2obo8bo\$28bo
8bo16bo\$28bo8b2o15bo\$28bo25bo\$29bo23bo\$29bo23bo\$30bo21bo\$31bo19bo!
``````
dvgrn wrote:Might there be any reasonably easy way to convert the current automatic synthesis database into pictures of sparks, or some kind of lookup table, so that I'd have a shot at being able to figure out what's already known? I do enjoy incompetently mucking around with glider syntheses now and then, but at this rate I probably won't ever manage to commit enough detail to memory to know how to apply "standard tools" consistently to new problems.
Since I was in that position, I will say this: looking at a whole bunch of syntheses and finding common subpatterns between syntheses should help get you familiar with at least the most common ones. Also, I've found that different people use the same subpatterns differently, so look at example syntheses from all three of us. (I've found that I use the same components in different ways, Niemiec uses them in pretty standard ways, and creates new components when those don't work, and Sokwe tends to be in between.)

EDIT: #140 from a trivial 17-bitter:

Code: Select all

``````x = 381, y = 35, rule = B3/S23
282bo\$236bo44bo\$237b2o42b3o\$236b2o32bo15bo46bo\$202bo37bobo25bobo14bo
48bo\$203bo36b2o27b2o10bo3b3o44b3o\$201b3o37bo38bo\$44bobo31bo46bo79bo74b
3o\$45b2o2bo27bo46bo79bo\$45bo3bobo25b3o44b3o77b3o25b2o39b2o2b3o70bo9bo\$
49b2o4bo19bo26bo65b2o30b2o26b2o2b2o35b2o2b2o44bo31b2o5bobo\$53b2o18bobo
12b2o12bobo8b2o9bo15b2o25bobo13b2o14bobo13b2o10bobo13b2o19bo3bobo13b2o
32bo31b2o7b2o\$54b2o18b2o13bo12b2o10bo9b2o15bo26bo15bo15bo15bo11bo15bo
20b2o2bo15bo32b3o35bo\$57b2o30bobo22bobo6bobo3b2o10bobo28b2o10bobo17b2o
10bobo13b2o10bobo17b2o7b2o10bobo27b2o37bobo\$11bo3bo41bobo30b2o11bo11b
2o12bobo10b2o13b2o2b2o9bobo10b2o17bobo10b2o13bobo10b2o26bobo10b2o26bo
2bo29bo2bo4b2o5b2o\$5b2o5b2obobo27b2ob2o7bo25b2ob2o15bo4b2ob2o17b2o3b2o
b2o16bobob2o11b2o3b2ob2o17b2o3b2o3b2ob2o13b2o3b2o3b2ob2o26b2o3b2o3b2ob
2o29bobobo33bo9bobo\$6bo4b2o2b2o29bob2o34bob2o15bo5bob2o23bob2o18bo3bo
16bob2o16bo2bo8bob2o12bo2bo8bob2o25bo2bo8bob2o29bo2bo2b3o25bo3bo9bo15b
obo\$3b3o37b3o35b3o22b3o24b3o40b3o21b2o6b3o17b2o6b3o30b2o6b3o29bo2b2o5b
o28b4o5bo2b2o14bob2o\$2bo39bo37bo24bo26bo42bo31bo27bo40bo31bobo9bo35bob
o17bo\$bob2obo34bob2obo32bob2obo19bob2obo21bob2obo37bob2obo26bob2obo22b
ob2obo35bob2obo26bobob2obo40bobob2obo11b2ob2obo\$o2bob2o33bo2bob2o31bo
2bob2o18bo2bob2o20bo2bob2o36bo2bob2o25bo2bob2o21bo2bob2o34bo2bob2o7b2o
18bo2bob2o37b2o2bo2bob2o11bo2bob2o\$b2o38b2o36b2o23b2o25b2o41b2o30b2o
26b2o39b2o10b2o20b2o41bo4b2o16b2o\$266b2o21bo14b2o40b2o2bobo\$267b2o34b
2o42b2ob2o\$266bo33b2o3bo40bo\$299bobo\$274b2o25bo\$273b2o\$275bo2\$31b3o\$
31bo\$32bo118b2o\$150bobo\$152bo!
``````
I can tell that these syntheses are requiring (at least at first) techniques that are much more complex than before. Fortunately, I'm getting a feel for these more complex syntheses.
I Like My Heisenburps! (and others)

mniemiec
Posts: 1181
Joined: June 1st, 2013, 12:00 am

### Re: 17-bit SL Syntheses

dvgrn wrote:Might there be any reasonably easy way to convert the current automatic synthesis database into pictures of sparks, or some kind of lookup table, so that I'd have a shot at being able to figure out what's already known? I do enjoy incompetently mucking around with glider syntheses now and then, but at this rate I probably won't ever manage to commit enough detail to memory to know how to apply "standard tools" consistently to new problems.
At some point when I have time, I am thinking about converting my synthesis tools into a reasonable humanly-readible form. Unfortunately, there are currently around a thousand tools in the human-usable tools (and some have many variants - I have converted two so far, "add block" and "add boat", and each of these has dozens of variations), plus almost as many machine-readible variants of these used by the synthesis expert system. These will take a long time to convert (and as I just this past week started a new job that's currently 60 hours a week - after being unemployed for a few years and having lots of spare time for Life - it's not anything I will have time to do anytime soon.
Extrementhusiast wrote: Since I was in that position, I will say this: looking at a whole bunch of syntheses and finding common subpatterns between syntheses should help get you familiar with at least the most common ones. Also, I've found that different people use the same subpatterns differently, so look at example syntheses from all three of us. (I've found that I use the same components in different ways, Niemiec uses them in pretty standard ways, and creates new components when those don't work, and Sokwe tends to be in between.)
I would tend to agree with this. I usually look at standard tools, and where they "ought to fit", and if they don't quite work, I try to find ways to adapt them to fit custom geometries. Over the past year, I've been getting much better at being able to backtrack things a few generations to figure out just where a spark needs to be added or suppressed to make something work. I've also found that the fact that we all tend to look at things in slightly different ways makes it much easier for us to cover different areas, and for one of us to find easy things that others find difficult.
Extrementhusiast wrote:I can tell that these syntheses are requiring (at least at first) techniques that are much more complex than before. Fortunately, I'm getting a feel for these more complex syntheses.
This is not surprising. The list I posted here (and similarly, with the 16-bit ones) started out with 90% of the objects being pruned by the expert system, and a few other easy ones removed by hand before being posted. From the remaining ones, as the low-hanging fruit get removed, typically in order of difficulty, whatever is left should naturally become more and more difficult. Since we all seem to be learning from the experience, many that seemed impossible earlier may now seem difficult but possible.

This is yet another possible route to get to #217, from #266. The top row shows the almost-synthesis at generations 0, 22, 24, and 25. A one-bit spark is missing from generation 24. The second row shows a possible way to get there from generation 22, but I haven't figured out any viable predecessors any further back:

Code: Select all

``````x = 144, y = 52, rule = B3/S23
26bo\$25bo\$25b3o\$7bo4bo\$5bobobbobo\$bbo3boo3boo\$obo47bo29bo\$boo47bobo26b
o30bo\$42bo4bobboo29bo\$43bo4bo22bo29bo28b3o\$37bo3bo4b3o22b3obbobbo20b3o
4boo19b3obo4bo\$22bo15boboobo8bo15boo7boo3bo14b3obbo4b4obo15b3obo9bo\$
20b3o13b3obooboo5b3o13bobo11b3o25b5o16bo12bo\$9bo9bo20b5o4bo17boo10bo
17boo9boo\$7bobo8bobo19boob3obbobo26boobo25boobbo25boobbo\$8boo7bobobo
21b3obobobo24boobobo24bobbobo23bo3bobo\$17bobobbo20b3obobobbo24bobobbo
23boobobbo23boobobbo\$10b3o5boboobo19boo3boboobo24boboobo24boboobo23boo
boobo\$12bo6bobbo20boo4bobbo26bobbo26bobbo26bobbo\$11bo8boo28boo28boo28b
oo28boo4\$16b3o\$16bo\$17bo11\$50bo29bo\$50bobo26bo30bo\$42bo4bobboo29bo\$43b
o4bo22bo29bo28b3o\$37bo3bo4b3o22b3obbobbo20b3o4boo19b3obo4bo\$38boboobo
8bo15boo7boo3bo14b3obbo4b4obo15b3obo9bo\$36b3obooboo5b3o13bobo11b3o25b
5o16bo12bo\$40b5o4bo17boo10bo17boo9boo\$17b3o20boob3obbobo26boobo25boobb
o25boobbo\$16bo3bo22b3obobobo24boobobo24bobbobo24bobbobo\$20bo23boobobo
bbo24bobobbo24bobobbo24bobobbo\$18boo24bo3boboobo21bobboboobo24boboobo
24boboobo\$18bo25bo4bobbo26bobbo26bobbo26bobbo\$42bobbo4boo28boo28boo28b
oo\$18bo26bo\$45bo!``````