goldenratio wrote: ↑August 1st, 2020, 5:07 pm
Canoe: They all form from this predecessor, which isn't synthesizeable unless someone runs a 4G search and it shows up:
Code: Select all
x = 5, y = 6, rule = B2n3-q5y6c/S23-k
2b3o$bo2bo$o3bo$o$2o$2bo!
Long^2 snake:
Code: Select all
x = 12, y = 23, rule = B2n3-q5y6c/S23-k
b3o$o2bo$obo7b2o$bo7bobo$10bo6$4b2o$3bo2bo$3bo2bo$4b2o4$3b2o$3b2o2$8bo
$8bo$8bo!
8-bit snake instantiated from 14 gliders; the far glider removes a forming block that would otherwise need 2 glides to remove.
Also, a failed attempt to instantiate the canoe. The above predecessor turns into a traffic light spark being hit by two beehive sparks. Unfortunately, we need another way to form the traffic light spark, because the usual one hits the beehive one generation early. I'm not even sure if this is possible.
Code: Select all
x = 215, y = 129, rule = B2n3-q5y6c/S23-k
141boo$141boo3bo$144boo$145boo6$58bo$56bobo$57boo3bo20bobo38boo28boo$
10bobo6bo40boo22boo38bobo27bobo$11boo4boo19bobo20boo21bo42bobo27bobo$
11bo6boo19boo12boo38boo4boo27boo28boo$39bo12bobbo25boo9bobbo3boo$16bo
35bobbo25boo9bobbo$15boo19b3o14boo38boo$15bobo20bo64bo$3o3bo30bo28boo
35bo$bboboo39bo16booboo18bo17bo$bo3boo37bobo14bobo3bo16bobo$44boo17bo
20boo6$141boo$141bobo$142boo$$138b3o$140bo$139bo61$15bobo$16boo7bo$16b
o7bo$24b3o$$8bo41bobo18boo38boo20bo$9boo40bobo16bobbo36bobbo19bo$8boo
32bo8boo8b3o7boo12b3o6bo16boo16boobbo$17bo23b3o5bo11bobo20bo3bo6bo32bo
bo$18bo22bobo5bo10boobo4b3o17bo3b5o11b3o16bo$16b3o5bo15bo7bobo17bobo
15boo7bo12bobo15bo$23boo24bo15bob4o15bo7bo10bobb3o15boo$11boo10bobo12b
oo4b3obbo8boo4bobo37bobo$11boo25boo4b3o11boo4bobo19bo17bobo$65bo39bo
18b3o$40bo$41bobbo15boo$41bo$8boo$9boo$8bo36bo$$17b3o$17bo$18bo7$212b
oo$212bobo$212bo!
EDIT: (Someone posted a partial boat-to quadpole converter at one point, but I can't find who or when. Does anyone remember?)
Boat-to-quadpole converter instantiated from 6, giving quadpole from 8. This can also be combined twice to give octopole from 16. (This could probably be doable from 15, if there is a convenient 3-glider beehive inserter that doesn't have one of the gliders approaching from the tub side.)
P92 from 4. P80 from 7. P22 from 6.
I don't remember if I had posted his, but tubs/boats/barges can be grown by 2 instead of 3.
Code: Select all
x = 192, y = 143, rule = B2n3-q5y6c/S23-k
122b3o$122bo$123bo$$120boo29boo28boo$121boo28bobo27bobo$120bo31bo$183b
obo$$185bobo$153bo32boo$153bobo$153boo$126boo28boo$97bo28bobo27bobo$
98bo28boo28boo$96b3o3$97b3o56boo$99bo55boo$98bo58bo$$152boo$153boo$
152bo3$142b3o$144bo$143bo4$165bo$164bo$164b3o3$156bo$154boo$155boo$$
151bo$152boo$151boo4$60boo28boo28boo28boo$31bo28bobo27bobo27bobo27bobo
$32bo28boo28boo28boo28boo$30b3o121boo$153bobo$155bo25boo$31b3o147bobo$
33bo$32bo150bobo$67bo28bo29bo29bo$66bo28bobo27bobo27bobo27bobo$66b3o
27bo29bo29bo$187bobo$66b3o$62boobbo122bobo$63boobbo89bo32boo$62bo94bob
o$157boo$130boo28boo$130bobbo26bobo$102bo58boo$101bo29bobbo$97boobb3o
29boo$96bobo$98bo61boo$135b3o21boo$137bo23bo$136bo$156boo$157boo$156bo
3$146b3o$148bo$147bo3$6bo$7bo$5b3o$48bo$48bobo$48boo5$147bo$147bobo$
147boo22bobo$171boo$147bo17boo5bo$66b3o27boo28boo18boo17bobo17b3o$60b
3o33boo28boo18bobo17bo18boobo$69bo117boo$61boo5bo112boo$62bo4bo22b3o
48bobo19bo17boboo$63bo4bo22bo50boo18bobo17b3o$62bo5boo20bo51bo14bo5boo
$61bo95boo$68b3o70boo13bobo$62b3o63b3o9bobo$128bobbo10bo$128bobbo$130b
o$$120bo$120boo$120bo3$boo$obo81boo$bbo82boo9boo28boo$43b3o38bo11boo
28boo$43bo$44bo8$bbo19bo$bobo17bobo$bbo4bo14bobo$7bobo13bo$7boo$$3b3o$
5bo$4bo!
EDIT 2: Ships of arbitrary length are very easy to make, so canoes should be fairly easy to carve from them; e.g. canoe from 11 and long canoe from 9 (formerly also 11):
Code: Select all
x = 101, y = 62, rule = B2n3-q5y6c/S23-k
oo28boo28boo28boo$obo27bobo20bo6bobo27bobo$boo28bobo20bo6bobo29bo$32bo
bo17b3o7bobo29bo$4bo28bo29boo28boo$4boo$3bobo51b3o8bobo$59bo8boo28boo$
58bo5boo3bo28bobo$64bobo32bo$59boo3bo$33boobboo20bobo$34boobobo19bo$
33bo3bo12$28bo$26bobo$27boo$39bobo$30boo7boo$30boo8bo19boo28boo$60bobo
27bobo$61bobo29bo$52bo9bobo29bo$53bo9bobo29bo$36boo13b3o10boo28boo$35b
oo19boo$37bo17bobo$57bo30bo$62boo23bobo$61boo24boo$63bo9$60boo28boo$
60bobo27bobo$54bobo4bobo29bo$55boo5bobo29bo$55bo7bobo29bo$64boo28boo$
58b3o$58bobbo$58bo$58bo4b3o$59bobobo$64bo!
EDIT 3: xp30 from 9. Hook w/long tail from 8. Long shillelagh from 6. Loaf siamese loaf from 6. Loaf siamese barge from 8. Melusine from 8. Block on table from 4. Claw w/tail from 9. Ridiculously expensive extra long snake from 20. Now all still-lifes up to 9 bits have syntheses. All but 11 10-bit ones do too (except the 4 snake/canoe/shillelaghs, 5 x-siamese-y, 2 hooks-w/tail)
Code: Select all
x = 299, y = 193, rule = B2n3-q5y6c/S23-k
bbo51bo58bo$obo51bobo56bobo$boo51boo51bo5boo$108boo$107boo3$117bo$110b
o4bobo$111bo4boo89bo$109b3o93boo$119bo34boo50boo37bo$118bo14boo19boo
18boo18boo18boo18boo9bobo6boo17boo18boo$118b3o13bo40bo17bobbo16bobbo
16bobbo8boo6bobbo17bo19bo$108bo24bo40bo18bo19bobobo15bo19bobobo16bobo
17bobo$108boo23boboo36bo20bobbo16bobbo16bobbo16bobo18boo18bobo$107bobo
24bobo19bobo14bobo20boo17boo19boo17bo41bo$152boobboo16boo121boo$30bo
82bo39boobbo$30bobo79bobo37bo8bo77booboo42bobo$30boo81boo46bo77booboo
29boo11boo$161bo110bobo12bo$24bo220boo27bobboo$25bo174b3o42bobo28boo$
23b3o174bo44bo32bo$201bo$232boo$117bo80boo33boo$116bo80bobo32bo$112bo
3b3o80bo$76booboo32boo170boo$75bobobobo30boo171bobo$75bobobobo51bobbo
8bo12bo14boo110bo$65boo7booboboboo7boo41b4o6bobo12bo15bo$64bobo8bobobo
bo8bobo51boo5boo5bo15boboo$65bo9bobobobo9bo41boo4b3o9boo22bobbo$27boo
47booboo52boo6bo35boo$27boo111bo14boo$110b3o42boo$27boo83bo$27boo82bo
4boo$115boo$30b3o84bo$30bo$31bo4$158boo$158bobo$135bo22bo$134bo$134b3o
38$169bo$168bo$168b3o$$165boo$164bobbo$163bobbo$164boo6$75bo$76bo$74b
3o$8bo$9bo68boo$7b3o68boo$$7b3o68boo$9bo68boo141bo$8bo156bobo53bobo$
148boo15boo54boo$bbo141bo3boo16bo50boo$3bo141boo69bobbo$b3o140boo19boo
49bobo$165boo50bo$73bo$oo71bo86boo48boo38boo$boo70bo86bobo47bobo37bobo
$o25bo136bo49bo39bo$24boo67bo70bobo47bobo37bobo$25boo66bo71boo48boo38b
oo$93bo$160boo47bo$23b3o134boo19boo25bobo$23bo156boo25bobbo$24bo135bo
16boo3bo25boo$160boo15boo25boo$18bo140bobo41bobo$17bo69boo116bo$17b3o
67boo$$17b3o67boo$17bo69boo$18bo$90b3o$90bo$91bo6$161boo$160bobbo$159b
obbo$160boo$$156b3o$158bo$157bo38$30b3o$32bo$31bo!
EDIT 4: Snake siamese snake from 8. Snake siamese trans carrier from 7. Snake sianese cis carrier from 10. Trans carrier siamese trans carrier from 10. Trans carrier siamese cis carrier from 11. Very long shillelagh from 6. Very long canoe from 6. Block on cover from 4. Cis shillelagh from 7.
This leaves only four as-yet-synthesized 10-bit still-lifes: 10-bit snake xs10_wg853z65 (1 soup, that leads to a partial synthesis except it needs 2 c/22 gliders heading in impssible directions),
very long hook w/tail xs10_1784213 (with no soups!?), cis hook w/tail xs10_2eg853 (with one unsuitable soup), and cis carrier siamese cis carrier xs10_31c6go (with four soups).
Code: Select all
x = 209, y = 188, rule = B2n3-q5y6c/S23-k
97bo$95boo$96boo26$63bobbo$20bo40b3obobo$12bo6bo42bo3boo112bobo$10bobo
6b3o159boo$11boo168bo$$bo154boo25boo$bbo152b4o24bobo$3o29bo107bo15bobo
24bo$5boo25bobo11booboobo13bo39booboo15boobo9bo6boobo6boo18boobo16boob
oo$4bobo25boo12bobooboo12bobo38boboobbo13boboo9b3o4boboo26boboo16boboo
$6bo29b3o27boo43boo42boo24bo19bo$36bo101bo16boo23boo18boo$37bo99boo$
137bobo24b3o$26boo136bo$17b3o6bobo136bo$19bo6bo$18bo4$180bobo$181boo$
181bo$$156boo25boo$155b4o24bobo$126boo12bo5boo8bobo17boo5bo12boo$126bo
bbo9bo6bobbo6boo18bobbo16bobboo$128boo9b3o6boo28boo18boo$155boo24bo19b
o$138bo16boo23boo18boo$137boo$91bo45bobo24b3o$89boo73bo$90boo73bo4$10b
o$11bo$9b3o3$137bobo$137boo$138bo31bo$168bobo$134bo23boo9boo25boo$135b
oo22bo36bobo$130bo3boo22bo13booboo22bo$128bobo26bo14booboo23bo$129boo
25bo44bo$156bobo43bo$157boo20boo20boo$140bobo36boo$140boo$130boo9bo37b
oo$131boo46boo$130bo8b3o$139bo42b3o$140bo41bo$183bo13$128bo$124boboo$
122bobobboo$106boo15boo$106bobboo$108boobbo$111boo66bo$178bo$42boo134b
3o$41bobo$42bo$$42boo$41bobo111booboo38boo$43bo96bobo13boboo37bobo$52b
oo86boo14bo39bo$52boo87bo15b3o35bo$159bo35bobo$139b3o54boo$49boo88bo
39boo$49boo89bo38boo6$176boo19boo$176bobo17bobo$177bo19bo$$176boo$176b
obo$176bo11$116b3o16boo18boo3boo17boo14boo$115bo3bo15bobo18bobbobo13b
oo3bo14bobbo$119bo4bo13bo17bobo17bobbo17boo$117boo6bo13bo17bo18bobo18b
obbo$117bo4b5o13bobo34bo21boo$125bo15boo$117bo6bo14$15boo$14bobo$16bo
3$177bo$175b3o$174bo30boo$155b3o16b3o28boo$$116b3o41bobo26boo4boo$115b
o3bo39bobbo26boo4bobo$119bo4bo35bobo35bo$117boo6bo49bobo21bo$117bo4b5o
48bobbo21bobo4boo$125bo49bobo23boo4boo$117bo6bo$161b3o16b3o8boo$163bo
27boo$160b3o$160bo!
EDIT 5: very long hook w/tail from 13.
Code: Select all
x = 67, y = 14, rule = B2n3-q5y6c/S23-k
34bo$33bo$33b3o$$7boo25bo$oo4boo12boo3bo7boo5boo3boo13boo3boo$bo6bo12b
obbobo6bobo5bobbobo14bobbobo$boboo16bobobo15bobobo15bobo$bbobo17bobo
17bobo17bo$3bo19bo19bo$46b3o$42bo3bo$42boo3bo$41bobo!
EDIT 6: Cis hook w/tail from 17. The only two unsolved 10-bit ones are the 10-bit snake and the cis-cis siamese carriers.
Code: Select all
x = 66, y = 24, rule = B2n3-q5y6c/S23-k
42bo$28bobo10bo$28boo11b3o$24bo4bo$25boo$24boo16bo3boo$40bobobbobbo$
41boobbobbo$29boo15boo$28boo$30bo$7boo55boo$oo4boo12boo3bo14boo3bo14b
oo3bo$bo6bo12bobbobo14bobbobo14bobbo$boboo16bobobo15bobobo15bobo$bbobo
17bobo17bobo17bo$3bo19bo19bo5boo$48boo$50bo$41b3o$43bo$42bo3boo$45boo$
47bo!
EDIT 7: Flip-and-grow canoe converter from 8, giving 10-bit snake also from 17. Only one left!
Code: Select all
x = 68, y = 17, rule = B2n3-q5y6c/S23-k
27bo$25bobo$21boo3boo$oo19bo18boo18boo$obo19bo7bobobboo3bobo17bobo$3bo
19bo6boobboo7bo19bo$4bo9bo9bo6bo4bo7bo19bo$5bo6boo11bo19bobo17bobo$4b
oo7boo9boo4boo14boo18boo$29bobbo$29bobbo9boo$8boo14boo4boo10bobo$9boo
12boo18bo$8bo4bo11bo$12boo29boo$12bobo27bobo$44bo!
EDIT 8:
HWSS from 6; 10-bit P4 from 10, then improved from 8; 20-bit P13 from 12.
Mold from 7; P6 between two tubs from 9 (converter can be generalized to other P6s); 21-bit P10 from 9.
Octagon II from 12; 18-bit P8 from 12; 14-bit P14 from 6.
Several reductions of the weird 22-bit still life from 6 (and one from 5).
Up wing on wing from 6.
Code: Select all
x = 298, y = 150, rule = B2n3-q5y6c/S23-k
157bo$152bo3bo$146bo6boob3o14bo$144bobo5boo18bobo$145boo26boo92bo$267b
obo4bobo$146bo20boo5bo92boo5boo$146boo18bobo5boo18bo80bo$145bobo19bo5b
obo18bo41bo$194bo36bo3bo$232boob3o24bo$231boo28bobo27boo3boo$177boo83b
oo28boobboo$177boo$7bo119b3o29boo26b3o12bo4b3o16bobo29bo29bo$5bobo122b
oo26boo30boo9boo7boo15boo28bobo28boo$6boo147boo3bo39bobbo23bo30boo3boo
7boo15bo3boo$128boo24bobo31boo9boo7boo53boo7bobo18boo$130b3o23bo33b3o
8bo8b3o13boo7boo35bo$11boo212bobo6boo52boo$11boo214bo3boo3bo14b3o34boo
$230bobo20bo$232bo19bo$192boo$98bobo90bobo$68bo29boo93bo69b3o$66bobo
30bo163bo$7bo3b3o53boo3bo179boo10bo$7boobbo19b3o36boo181boo$6bobo3bo
18bobbo36boo179bo$31bo67boo$31bo3bo63boo$31bo3bo$14bo16bo19bo28bo$13b
oo17bobo10b3o3bobo8boo17bo10boo$13bobo32bobboo9boo15b3o10boo$45bobbo
16b3o16boo9b3o51bo$46bobo34bobo62bobob3o$85bo62boobbo$153bo$158bo76bob
o$157bo71boo4boo12boo18boo18boo$157b3o68bobo5bo11bobobboo13bobobboo13b
obobboo$168boo17bo19bo20boo18boo3boo13boo3boo13boo3boo$167bobbo15bobo
17bobo28b3o$143bo23bobobo15boo18bo29bo56bo$143boobboo19bobbo18bo18bo
28bo10boo18boo18boobbobo$142bobobbobo22bo16boo19boo37boo18boo3boo13boo
bobbo$147bo21bobo38bo16boo45boo17boo$158boo53bo14boo26boo$158bobo33bo
17bobo12bo3boo22boo21boo$158bo29boo3boo18bo17bobo18boo3bo19boo$124bo
62bobo3bobo35bo19bobo25bo$123boo64bo63bo$123bobo11$229bo$228bo$228b3o$
259bo$213bobo42b3o$213boo43bo$187bo26bo24boo$26bo155bo3bo51bobo$27bo
155boob3o24bo45bo16bobobbo$25b3o61bobo90boo28bobo25b4o14bobo15boboobo$
89boo122boo20bo3bo17bobo16boboobo$57bo14bobo15bo45bo83bobo11bo3bo19bo
17bobbobo$24boo31bo14boo13boo45boo85boo11boobo$25boo6b3o21bo5b3o7bo13b
obo3b3o26bobbo9boo15bobbo66bo14bo$5boo17bo60boobo32boboobo24boboobo18b
obo29bo29bo21bo$bbobbobo77boboo12bo20bobbo5b3o18bobbo20boo24boobbobo
28bo19b3o$obobbo80bo12boobo11b3o5bobbo26bobbo20bo26boobboo49bo$boo40bo
55boboo18boboobo24boboobo45bo$32b3o6boo11bo7b3o5bo21b3o3bobo10boo9bobb
o26bobbo19boo$42boo10boo14bo28boo11boo60bobo$53bobo14bo26bo13bo64bo$
97boo$40b3o53bobo110bo$40bo169bo$41bo167b3o6$199boo$198bobo$200bo11$
13boo18boo18boo18boo18boo28boo18boo18boo18boo18boo18boo18boo18boo18boo
$13boo18boo18boo18boo18boo28boo18boo18boo18boo18boo18boo18boo18boo18b
oo$11bo19bo19bo19bo19bo29bo19bo19bo19bo19bo19bo19bo19bo19bo$11boo18boo
18boo18boo18boo28boo18boo18boo18boo18boo18boo18boo18boo18boo$12bo19bo
19bo19bo19bo29bo19bo19bo19bo19bo19bo19bobbo16bo19bo$12bobo17bobo17bobo
17bobo17bobo27bobo17bobo17bobo17bobo17bobo17bobo17bobobo15bobo17bobo$
13bobo3boo12boo18bobo3boo12bobo17bobo3boo22bobo17bobo3boo12bobo17bobo
3boo12bobo17bobo3boo12bobbo16bobo3boo12bobo$14bo4boo17bo15bo4boo13bo
19bo4boo23boo18bo4boo13bobo17bo4boob3o9bobo17bo4boo13boo18bo4boo13bobo
$15b3o19bobo15b3o37b3o47b3o4bo12bo19b3o4bo12boo18b3o5bo31b3o17bobo$17b
oo3boo13boo18boo38boo48boobbo35boo4bo33boobboo34boo17bo$22bobo78boo46b
3o78boo$22bo37bo41boo$59boo43bo165boo$59bobo37boo169bobo$100boo168bo$
99bo$55boo209b3o$56boo88boo76boo42bo$55bo89bobo75bobo41bo$147bo77bo8$
52bo40bo$52bobo36bobo$9bo42boo38boo$10bo3bo59bo39bo$8b3oboo19bo19bo19b
obo17bo19bobo$13boo17bobo17bobo17bobbo16bobo17bobbo$32boo18boo18b3o17b
oo18b3o$$32boo18boo18b3o17boo18b3o$13boo17bobo17bobo17bobbo16bobo17bo
bbo$8b3oboo19bo19bo19bobo17bo19bobo$10bo3bo59bo39bo$9bo42boo38boo$52bo
bo36bobo$52bo40bo!