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).