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Syntheses of Unusual Still Lifes

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

Re: Syntheses of Unusual Still Lifes

Postby Extrementhusiast » April 23rd, 2016, 4:31 pm

BobShemyakin wrote:
mniemiec wrote:
BobShemyakin wrote:You can continue with 17.1425, 17.1450, 17.1429, 17.1446, 18.4405, 18.440: ... It also affects tables 14 and 15-bit still lifes.

I specifically listed the 2 15-bit ones, because I already had syntheses for those, and I'm specifically tracking all the 15-bit ones. I only included the larger ones because those were trivial to make with 2 extra gliders. I know a 2-glider tub-to-bun converter, but the 2-glider tub-to-mango and 3-glider tub-to-bookend converters are new to me. Thanks!

[four RLEs]

(For shortening purposes, the converter in the ith group, jth row, and kth column will be referred to here as i/j/k.)

4/2/1 and 4/2/2 (both entries are the same converter) can be reduced by one:
x = 10, y = 14, rule = B3/S23
bobo$2b2o4bo$2bo4bo$7b3o$bo$2bo$3o4$6b2o$7bo$6bo$6b2o!

4/3/1 can also be reduced:
x = 13, y = 12, rule = B3/S23
8bo$6b2o$7b2o$10b2o$2o8bobo$obobo5bo$3b2o3$7b3o$7bo$8bo!

2/1/1 doesn't need the right-hand glider:
x = 4, y = 7, rule = B3/S23
o$obo$2o2$2bo$bobo$b2o!

2/4/3 nicely complements one of mine:
x = 27, y = 50, rule = B3/S23
2bo$3bo$b3o3$5bo$6bo$4b3o$24b2o$2bo20bo2bo$2b2o19b3o$bobo$7b2o14b3o$6b
o2bo13bo2bo$7b2o15b2o12$2bo$obo$b2o8$6bobo$7b2o$7bo$3b3o$5bo$4bo2$23b
2o$22bo2bo$23b3o2$7b2o14b3o$6bo2bo13bo2bo$7b2o15b2o!

1/1/1 has one that's one cheaper, but this variant is more one-sided:
x = 23, y = 28, rule = B3/S23
o$obo$2o2b2o$3b2o$5bo15bo$bo18bobo$obo17bobo$bo19bo11$2bo$3b2o$2b2o2b
2o$6b2o3$21bo$bo18bobo$obo17bobo$bo19bo!

4/4/1 has a variant that's one cheaper, but this one works on the other side:
x = 9, y = 15, rule = B3/S23
8bo$6bobo$2bo4b2o$3bo$b3o3bo$6b2o$6bobo4$3b2o$obobo$2o2bob2o$4bo2bo$5b
2o!

2/2/1 has been known for a while.
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Re: Syntheses of Unusual Still Lifes

Postby gmc_nxtman » April 24th, 2016, 10:04 pm

8-glider synth of a pseudo still-life:

x = 63, y = 64, rule = B3/S23
49bo$49bobo$49b2o25$obo$b2o$bo12$30bobo$26bo3b2o$27b2o2bo$26b2o3$31bo$
30b2o$30bobo9$10b3o$12bo$11bo$39b3o18b2o$39bo20bobo$40bo19bo!
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Re: Syntheses of Unusual Still Lifes

Postby Dean Hickerson » May 2nd, 2016, 7:29 pm

This has probably been found before: A symmetric collision of 4 gliders make 2 tubs with tail:
x = 17, y = 12, rule = B3/S23
7bo$obo2bobo$b2o3b2o$bo5$15bo$9b2o3b2o$9bobo2bobo$9bo!
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Re: Syntheses of Unusual Still Lifes

Postby BobShemyakin » May 5th, 2016, 9:10 am

x = 58, y = 43, rule = B3/S23
bo54bo$2bo52bo$3o52b3o6$11bo34bo$12bo32bo$10b3o32b3o$21bobo10bobo$22b
2o10b2o$22bo12bo5$25bobo2bobo$26b2o2b2o$26bo4bo2$26bo4bo$26b2o2b2o$25b
obo2bobo5$22bo12bo$22b2o10b2o$21bobo10bobo$10b3o32b3o$12bo32bo$11bo34b
o6$3o52b3o$2bo52bo$bo54bo!


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Re: Syntheses of Unusual Still Lifes

Postby Dean Hickerson » May 5th, 2016, 7:57 pm

BobShemyakin wrote:
x = 58, y = 43, rule = B3/S23
bo54bo$2bo52bo$3o52b3o6$11bo34bo$12bo32bo$10b3o32b3o$21bobo10bobo$22b
2o10b2o$22bo12bo5$25bobo2bobo$26b2o2b2o$26bo4bo2$26bo4bo$26b2o2b2o$25b
obo2bobo5$22bo12bo$22b2o10b2o$21bobo10bobo$10b3o32b3o$12bo32bo$11bo34b
o6$3o52b3o$2bo52bo$bo54bo!

Nice!

Adding 4 more gliders converts the boats to blocks:
x = 58, y = 51, rule = B3/S23
2bobo48bobo$3b2o48b2o$3bo50bo2$bo54bo$2bo52bo$3o52b3o6$11bo34bo$12bo
32bo$10b3o32b3o$21bobo10bobo$22b2o10b2o$22bo12bo5$25bobo2bobo$26b2o2b
2o$26bo4bo2$26bo4bo$26b2o2b2o$25bobo2bobo5$22bo12bo$22b2o10b2o$21bobo
10bobo$10b3o32b3o$12bo32bo$11bo34bo6$3o52b3o$2bo52bo$bo54bo2$3bo50bo$
3b2o48b2o$2bobo48bobo!

Can larger arrays of blocks be synthesized?
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Re: Syntheses of Unusual Still Lifes

Postby Extrementhusiast » May 5th, 2016, 8:30 pm

Dean Hickerson wrote:Can larger arrays of blocks be synthesized?

3*n arrays can be synthesized, but not yet any longer widths. (See this post of mine for details.)
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Re: Syntheses of Unusual Still Lifes

Postby BlinkerSpawn » May 5th, 2016, 9:11 pm

Extrementhusiast wrote:
Dean Hickerson wrote:Can larger arrays of blocks be synthesized?

3*n arrays can be synthesized, but not yet any longer widths. (See this post of mine for details.)

Speaking of which, "Four tables on 5 blocks" should no longer be marked as [x+34] in Niemiec's database.
EDIT: I realize this has been brought up in the reply to the post that Extrementhusiast refers to.
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Re: Syntheses of Unusual Still Lifes

Postby mniemiec » May 6th, 2016, 7:33 am

BobShemyakin wrote: ...

Very nice! While syntheses of 2xN arrays of blocks and similar objects are fairly common, anything larger is still pushing the envelope.
Dean Hickerson wrote:Nice!

Adding 4 more gliders converts the boats to blocks: ...

Nice. This is definitely cheaper than converting the boats to blocks after the fact.

BlinkerSpawn wrote:Speaking of which, "Four tables on 5 blocks" should no longer be marked as [x+34] in Niemiec's database.
EDIT: I realize this has been brought up in the reply to the post that Extrementhusiast refers to.

After Extrementhusiast posted his construction, I was able to improve this to 203, based on a (then newly possible) 3x3 block array from 168 gliders. This new mechanism drastically reduces these to 21 and 40:
x = 211, y = 134, rule = B3/S23
41bobo42bobo$42boo42boo$42bo44bo$$40bo48bo$41bo46bo$39b3o46b3o6$50bo
28bo$51bo26bo$49b3o26b3o$60bobo4bobo$61boo4boo$61bo6bo32boobooboo12boo
booboo12boobooboo$101boobooboo12boobooboo12boobooboo$3bobbo15boobboo
34boobboo$bobobbobo13bo4bo34bo4bo33boobooboo12boobooboo12boobooboo$bb
oobboo15b4o36b4o34boobooboo12boobooboo12boobooboo$$bboobboo15b4o36b4o
34boobooboo12boobooboo12boobooboo$bobobbobo13bo4bo34bo4bo33boobooboo
12boobooboo12boobooboo$3bobbo15boobboo34boobboo$101boobooboo12booboob
oo$61bo6bo31boboboobobo10boboboobobo$61boo4boo32bo6bo12bo6bo$60bobo4bo
bo$49b3o26b3o38boo8boo$51bo26bo39bobo8bobo$50bo28bo40bo3boo3bo$124bobo
$124bo4$39b3o46b3o$41bo46bo$40bo48bo14$40bo48bo$41bo46bo$39b3o46b3o6$
50bo28bo$51bo26bo$49b3o26b3o$60bobo4bobo$61boo4boo32bo6bo12bo6bo12bo6b
o$61bo6bo31boboboobobo10boboboobobo10boboboobobo$101boobooboo12booboob
oo12boobooboo$3bobbo15boobboo34boobboo$bobobbobo13bo4bo34bo4bo33booboo
boo12boobooboo12boobooboo$bboobboo15b4o36b4o34boobooboo12boobooboo12b
oobooboo$$bboobboo15b4o36b4o34boobooboo12boobooboo12boobooboo$bobobbob
o13bo4bo34bo4bo33boobooboo12boobooboo12boobooboo$3bobbo15boobboo34boo
bboo$101boobooboo12boobooboo$61bo6bo31boboboobobo10boboboobobo$61boo4b
oo32bo6bo12bo6bo$60bobo4bobo$49b3o26b3o38boo8boo$51bo26bo39bobo8bobo$
50bo28bo40bo3boo3bo$124bobo$124bo4$39b3o46b3o$41bo46bo$40bo48bo10$175b
3o$155bo21bobbo$153bobo20bobbo$154boo23b3o$$152boo47boo$bo6bo12bo6bo
12bo6bo12bo6bo22bo6bo22bo6bo12bo6bo3bobo6bo19bo20bo$oboboobobo10bobob
oobobo10boboboobobo10boboboobobo20boboboobobo20boboboobobo10boboboobob
obbo7boboboobobbo9boboboobobbo11boboobobbo$boobooboo12boobooboo12boob
ooboo12boobooboo22boobooboo22boobooboo12boobooboo12booboob4o10booboob
4o10booboob4o$$boobooboo12boobooboo12boobooboo12boobooboo22boobooboo
22boobooboo12boobooboo12boobooboo12boobooboo12boobooboo$boobooboo12boo
booboo12boobooboo12boobooboo22boobooboo22boobooboo12boobooboo12booboob
oo12boobooboo12boobooboo$$boobooboo12boobooboo12boobooboo12boobooboo
14bo7boobooboo22boobooboo12boobooboo10b4obooboo10b4obooboo10b4obooboo$
boobooboo12boobooboo12boobooboo12boobooboo15bo6boobooboo21boboboobobo
7bobboboboobobo9bobboboobobo9bobboboobobo9bobboboobo$13bo68b3o19bo16bo
6bo6bobo3bo6bo19bo19bo18bo$12bo91bobo29boo69boo$12b3o13bo19bo14boo3bo
24boo3bo5boo$27bobo12boo3bobo12bobbobobo22bobbobobo34boo52b3o$6boobboo
16bo12bobo4bo14boo3bo24boo3bo35bobo53bobbo$7boobobo30bo42bo47bo54bobbo
$6bo3bo34boo39boo104b3o$45bobo37bobo$45bo49bo10bo$94boo4b3obboo$94bobo
3bo4bobo$101bo$$92b3o$94bo$93bo$95b3o$95bo$96bo!


EDIT:
gmc_nxtman wrote:8-glider synth of a pseudo still-life: ...

This is considerably cheaper than any previous method, that I am aware of.
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Re: Syntheses of Unusual Still Lifes

Postby BobShemyakin » May 6th, 2016, 11:18 am

Here's another arrays:
x = 91, y = 59, rule = B3/S23
76bo$61bo13bo$3bo58bo12b3o9b2o$bobo9bo46b3o23bo2bo$2b2o8bo55bo18b2o$
12b3o53bobo$5bo19b2o41b2o17b2o$3b2o20b2o59bo2bo$4b2o81b2o$25b2o41b3o$
25b2o60b2o$86bo2bo$25b2o41b2o17b2o$25b2o41bobo$4b2o62bo18b2o$3b2o20b2o
33b3o23bo2bo$5bo19b2o35bo12b3o9b2o$12b3o46bo13bo$2b2o8bo63bo$bobo9bo$
3bo17$65bo$64bo$61bo2b3o$obo56bobo26b2o$b2o57b2o8bo16bo2bo$bo67bo17bo
2bo$10bo58b3o16b2o$3bobo3bo56bo$3b2o4b3o53bobo20b2o$4bo60bobo19bo2bo$
20b2ob2ob2o38bo20bo2bo$20b2ob2ob2o41b3o16b2o$69bo$20b2ob2ob2o32b2o8bo
17b2o$20b2ob2ob2o31bobo25bo2bo$4bo56bo2b3o20bo2bo$3b2o4b3o52bo23b2o$3b
obo3bo55bo$10bo$bo$b2o$obo!


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Re: Syntheses of Unusual Still Lifes

Postby mniemiec » May 6th, 2016, 1:10 pm

BobShemyakin wrote:Here's another arrays: ...

4*1 blocks can be made from 5 gliders. In general, n*1 blocks can be made at a cost of around 6n/5 gliders, since a stack can be grown 5 blocks at a time - 2 gliders make 2 nearby blocks, and 4 gliders insert 3 blocks.

4*1 beehives can be made from 6 gliders (two pairs from 3 each). However, the two mechanisms can be used together to make 6*1 beehives.

n*1 ponds can be made from 2n gliders. Since adjacent ponds are 5 cells apart, and gliders can be as close as 5 cells apart without interfering, any number of adjacecent ponds can be created together without requiring any special mechanism.

The 3*2 array of blocks is an improvement (This used to take 8 - 7 to make 4*2 blocks, and 1 to remove one of the rows). This uses a mechanism similar to that used by the 4*2 block array, and the two can be combined together to make 6*2 blocks from 11 gliders.
x = 186, y = 68, rule = B3/S23
127bo$118bo6boo$81bobo35boo5boo$82boobbobo29boo39bo$3boo18boo18boo18b
oo17bo3boo15boo38boo15bo3bo18boo$3boo18boo18boo18boo22bo14bobbo36bobbo
12b3oboo18bobbo$82b3o18boo38boo18boo17bobbo$3boo18boo38boo17bo39boo59b
oo$3boo18boo15bobobbobo15boo18bo19boo16bobo19boo14bo$41boobboo55bobbo
17bo18bobbo14bo3bo18boo$23boo16bo4bo16boo38boo27bo10boo13b3oboo18bobbo
$23boo38boo52bo13bo31boo17bobbo$6boo31b3o4b3o54boo13bo12b3o9boo38boo$
oo3bobobbo12boo16bo4bo16boo37bobbo10b3o23bobbo$boo4bobbobo10boo15bo6bo
15boo19bo18boo19bo18boo38boo$o9boo73bo38bobo36boo17bobbo$43boo18boo18b
3o17boo19boo17boo13b3oboo18bobbo$43boo18boo15bo21bobbo36bobbo14bo3bo
18boo$80boo3bo17boo38boo14bo$43boo18boo14bobobboo38b3o$43boo18boo19bob
o56boo$142bobbo$124boo17boo$124bobo$124bo18boo$116b3o23bobbo$118bo12b
3o9boo$117bo13bo$132bo3$85bo19bo$86bo17bo$84b3o17b3o3$11bo27bo41bo27bo
$12bo25bo43bo25bo$10b3o25b3o39b3o25b3o3$22bo69bo30booboo$23boo68boo28b
ooboo$22boo68boo$63booboo55booboo$22bo40booboo24bo30booboo$22boo68boo$
21bobo39booboo23bobo29booboo$63booboo55booboo$$24b3o36booboo26b3o26boo
boo$26bo36booboo28bo26booboo$25bo69bo$63booboo55booboo$63booboo55boob
oo$$123booboo$123booboo3$10b3o25b3o39b3o25b3o$12bo25bo43bo25bo$11bo27b
o41bo27bo3$84b3o17b3o$86bo17bo$85bo19bo!
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Re: Syntheses of Unusual Still Lifes

Postby BobShemyakin » May 11th, 2016, 2:38 pm

mniemiec wrote:
BobShemyakin wrote:You can continue with 17.1425, 17.1450, 17.1429, 17.1446, 18.4405, 18.440: ... It also affects tables 14 and 15-bit still lifes.

I specifically listed the 2 15-bit ones, because I already had syntheses for those, and I'm specifically tracking all the 15-bit ones. I only included the larger ones because those were trivial to make with 2 extra gliders. I know a 2-glider tub-to-bun converter, but the 2-glider tub-to-mango and 3-glider tub-to-bookend converters are new to me. Thanks!

About a month ago gmc_nxtman posted G7 synthesis of SL 15.394:
x = 70, y = 48, rule = B3/S23
2$30bobo$31b2o$31bo19$21bo29bo$21bo14bo14bo$bobo17bo12bobo14bo$b2o32b
2o$2bo3bo10b3o3b3o21b3o3b3o$5b2o$5bobo13bo29bo$21bo29bo$21bo29bo3$33b
3o28b2o$35bo28bo$34bo8b2o17bobo$42bobo16bobob2o$44bo16bobobobo$62bo3bo
$45b2o$45bobo$45bo!

Unfortunately, he lost among other syntheses cited ibid. It reduced the cost of synthesis of the Niemec’s database at 25 gliders!
And not only him, but also 15.380 and 16.689:
x = 151, y = 48, rule = B3/S23
60bo$59bo$59b3o19$bo$2bo$3o16b3o17b3o13bobo$55b2o$17bo5bo13bo5bo12bo$b
2o14bo5bo13bo5bo$2o15bo5bo13bo5bo$2bo$19b3o17b3o4$57b2o7b2o18b2o18b2o
18b2o18b2o$56b2o9bo19bo19bo19bo19bo$48bo9bo8bobo17bobo17bobo17bobo17bo
b2o$47b2o16b2obobo14b2obobo14b2obobo14b2obobo14b2obobo$47bobo14bobobob
o13bobobobo15bobobo15bobobo3bo11bobo$65bo3bo15bo3bo16bo2bo16bo2bo3bo
12bobo$45bo59b2o18b2o6b3o11bo$45b2o84bo$44bobo36b3o44b2o$80bo2bo41b2o
3bobo$81bo2bo39b2o$79b3o44bo$121b2o$122b2o$121bo!

I began shelling still life and that's what got:
x = 160, y = 111, rule = B3/S23
133bo$134b2o$133b2o6$134bo$78bo56b2o$76bobo55b2o9bo$77b2o65bo13bo$141b
o2b3o10bobo$8bo75bo55b2o16bo$7bo74b2o56bobo12b3o$7b3o73b2o15bo31bo3bo
15bo2bo$12bo3bo14b2o3bo38bo3bo15bo3bobo29bobobobo13bobobo$5bo5bobobobo
12bo2bobobo36bobobobo5bo7bobobo2bo29bobob2o14bobob2o$6b2o3bobob2o13bo
2bob2o37bobob2o5b2o7bobobobo31bobo17bobo$5b2o5bobo16b2obo40bobo7bobo7b
obobo34bo19bo$14bo19bo42bo19bo36b2o18b2o$14b2o18b2o41b2o18b2o14$118bo$
119b2o$118b2o$6bobo119bo$7b2o120b2o$7bo7bobo64bo45b2o3bo$15b2o64bo51bo
bo$16bo60bo3b3o49b2o$6b3o66bobo$8bo67b2o48b3o23b2ob2o$7bo25b2o49b2o11b
2o29bo3bo3bo16bobobo$12bo3bo15bo2bo47b2o11bobo28bo3bobobobo15bobobo$
11bobobobo15bobo37bo3bo7bo7bo2bo34bobob2o14bobob2o$11bobob2o14bobob2o
35bobobobo13bobobo35bobo16b2obo$12bobo16b2obo37bobob2o14bobob2o36bo19b
o$14bo19bo38bobo17bobo38b2o18b2o$14b2o18b2o39bo19bo$75b2o18b2o10$137bo
$137bobo$137b2o3$16bo$bo12b2o66bo$2bo12b2o63b2o$3o7bobo64bo3b2o$11b2o
62bobo48bobo$11bo64b2o49b2o$127bo6bo$85b3o46bobo$31b2o52bo11b2o35b2o$
11bo3bo16bo2bo38bo3bo7bo7bo2bobo$10bobobobo15bobobo36bobobobo13bobobob
o$10bobob2o14bobobobo36bobob2o14bobob2o54bo$11bobo16b2obobo38bobo17bob
o55bobo$13bo19bo42bo19bo26bo8bo3bo15bo2bo$13b2o18b2o41b2o18b2o25b2o6bo
bobobo15bobo$122bobo6bobob2o14bobob2o$132bobo16b2obo$134bo19bo$134b2o
18b2o9$62bo77bo$63b2o74bo$62b2o75b3o$72bo$73b2o61bo$72b2o3bo57bo$77bob
o51bo3b3o$77b2o50bobo$130b2o21b2o$70b3o23b2ob2o36bo13bo2bo$72bo3bo3bo
16bobobo34b2o12bob2o$71bo3bobobobo15bobobo25bo3bo4bobo8bo2bo$75bobob2o
14bobob2o25bobobobo13bobobo$76bobo16b2obo27bobob2o14bobob2o$78bo19bo
28bobo17bobo$78b2o18b2o29bo19bo$129b2o18b2o!


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Re: Syntheses of Unusual Still Lifes

Postby BobShemyakin » May 16th, 2016, 3:07 pm

20-bit SL:
x = 71, y = 67, rule = B3/S23
11bobo$12b2o13bo$12bo15b2o$27b2o$35bo$34bo22b2o4b2o$34b3o20bo6bo$59bo
2bo$58b6o$27bo$25bobo32b2o$26b2o31bo2bo$60b2o$28b3o$28bo6b2o$29bo4b2o$
36bo14$66bo$38bo26bobo$24bo11b2o26bo2bo$25bo11b2o25b3ob2o$23b3o41bo2bo
$64b2obobo$64b2ob2o2$38bo$38bobo$27b2o9b2o$26bobo$28bo6b3o$37bo$36bo6$
b2o$obo$2bo12$48b3o$48bo$49bo!

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Re: Syntheses of Unusual Still Lifes

Postby BlinkerSpawn » May 16th, 2016, 6:53 pm

BobShemyakin wrote:20-bit SL:
x = 71, y = 67, rule = B3/S23
11bobo$12b2o13bo$12bo15b2o$27b2o$35bo$34bo22b2o4b2o$34b3o20bo6bo$59bo
2bo$58b6o$27bo$25bobo32b2o$26b2o31bo2bo$60b2o$28b3o$28bo6b2o$29bo4b2o$
36bo14$66bo$38bo26bobo$24bo11b2o26bo2bo$25bo11b2o25b3ob2o$23b3o41bo2bo
$64b2obobo$64b2ob2o2$38bo$38bobo$27b2o9b2o$26bobo$28bo6b3o$37bo$36bo6$
b2o$obo$2bo12$48b3o$48bo$49bo!

Bob Shemyakin

I thought this could reduce it by a glider but the 2G teardrop predecessor gets in the way of the crucial glider. :?
x = 12, y = 12, rule = B3/S23
6bo$5bobo$7bo$7bo$5b2ob3o$bo5bo3bo$2bo4bo2bo$3o$4b3o$3bo2bo$3bo2bo$4b
2o!

Alternate 7G via similar method to yours:
x = 27, y = 35, rule = B3/S23
o$b2o$2o3$7bo7bobo$8bo6b2o$6b3o7bo2$14b2o$13b2o$15bo13$24b3o$6b2o16bo$
7b2o16bo$6bo5$5b2o$6b2o$5bo!

EDIT: 'Ey!
x = 27, y = 26, rule = B3/S23
2bo$obo$b2o3$8bo7bobo$9bo6b2o$7b3o7bo2$15b2o$14b2o$7bo8bo$8bo$6b3o10$
24b2o$24bobo$24bo!
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Re: Syntheses of Unusual Still Lifes

Postby Rhombic » June 22nd, 2016, 8:13 am

Is a synthesis for this marsh eater spiral possible? Its compactness yet wide structure makes it quite complicated to design a route.
x = 19, y = 19, rule = B3/S23
8bo$8b3o$11bo$10b2o$9bo$9bo$7b2ob2o$2b2o2bo2bo2bo$bobo2bo2bo2bo4b2o$bo
2b2ob2ob2ob2o2bo$2o4bo2bo2bo2bobo$6bo2bo2bo2b2o$7b2ob2o$9bo$9bo$7b2o$
7bo$8b3o$10bo!
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Re: Syntheses of Unusual Still Lifes

Postby BlinkerSpawn » June 22nd, 2016, 9:14 am

If such a synthesis existed, it might well stem from one of these:
x = 36, y = 14, rule = B3/S23
3b2o$3bobo22bo$5bo21bobo$4b2ob2o2b2o13bo2bo$3bo2bo2bo2bo12bob2ob2o$3bo
2bo2b3o12bobo2bo2bo$4b2ob2o14bo2bo2bo2bo$b3o2bo2bo14b2ob2ob2ob2o$o2bo
2bo2bo16bo2bo2bo2bo$2o2b2ob2o17bo2bo2bobo$7bo19b2ob2obo$7bobo19bo2bo$
8b2o19bobo$30bo!
neither of which I've seen syntheses for.
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Re: Syntheses of Unusual Still Lifes

Postby mniemiec » June 22nd, 2016, 9:54 am

Rhombic wrote:Is a synthesis for this marsh eater spiral possible? Its compactness yet wide structure makes it quite complicated to design a route. ...

It might be possible, but it certainly wouldn't be easy, given the current state of the art. It's fairly easy to create a chain of corner-connected dominoes, but not two-dimensional lattices. As far as I'm aware, we don't even currently have a converter that will do something as simple as converting a pond into a bipond by gluing a pond onto the corner, which would certainly be much easier than this still-life.
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Re: Syntheses of Unusual Still Lifes

Postby muzik » July 17th, 2016, 9:08 am

So this is my first and currently only "first" discovery on Catagolue.

x = 16, y = 16, rule = B3/S23
obobooobboobbbob$
ooooobbbbbbboboo$
oooboboobboboobb$
bbobooooboobbbbb$
bbobbbooboooobob$
obobobbboooobooo$
obobbbboobboooob$
bbbbobbboooobooo$
obbbbbooobobbobo$
booobobobooooobb$
boooboobbobboobo$
oooboobbboobobbb$
obbbobboobooobbb$
ooobbbobbbbbbobb$
bobbbbobbboboooo$
oobbbbbobbooboob!


x = 14, y = 7, rule = B3/S23
6b2o$5bo2bo$b2o2bo2bo2b2o$o2bob2obobo2bo$obo2bo2bobobo$bo3bo2bob2o$6b
2o!


Since the loaf is there from the start, synthesising it there in situ should be a simple-ish task. Putting that other thing there seems like a nightmare.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: Syntheses of Unusual Still Lifes

Postby BlinkerSpawn » July 17th, 2016, 9:54 am

muzik wrote:So this is my first and currently only "first" discovery on Catagolue.

soup


x = 14, y = 7, rule = B3/S23
6b2o$5bo2bo$b2o2bo2bo2b2o$o2bob2obobo2bo$obo2bo2bobobo$bo3bo2bob2o$6b
2o!


Since the loaf is there from the start, synthesising it there in situ should be a simple-ish task. Putting that other thing there seems like a nightmare.

Yikes.
x = 12, y = 10, rule = B3/S23
8bo$7bob2o2$bo4b2o$obo3b2o$bo7b2o$10b2o$7b2o$3b2o4bo$3b2o!
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Re: Syntheses of Unusual Still Lifes

Postby BobShemyakin » September 10th, 2016, 4:40 pm

5G:
x = 157, y = 31, rule = B3/S23
7$14bobo$14b2o65bo50bo$15bo64bo49b2o$80b3o48b2o$65bo60bo$63bobo27bo2b
2o29bo$2bo61b2o26bobo2bo27b3o23b2o$obo89bobobo53bo2bo$b2o90bo2b2o51bob
obo$27bo45bo22bo2bo28bo5b3o11bo2b2o$26bobo43bo8b2o15b2o26b2o6bo14b2o$
7bo18bobo43b3o5b2o45b2o6bo14bo$6bo20b2ob2o50bo65bo$6b3o21bobo40bo52bo
21b2o$30bo2bo38b2o51b2o$7bo23b2o39bobo50bobo$6b2o$6bobo$11b3o$11bo$12b
o!

6G:
x = 311, y = 67, rule = B3/S23
4$261bobo$81bo180b2o$82bo51bo127bo$80b3o52bo71bo$10bo122b3o70bo$11b2o
6bo179bo6b3o$10b2o6bo26bo154b2o$18b3o23bobo93bo58b2o23b2o43bo$45bo39bo
bo10bo39b2o19bo49bo13bobo42bo$42b3o40b2o10bobo39b2o16b3o48b2o13bo44b3o
$13bo27bo44bo3b2o6bo44b2o11bo51bobo9b2obo61b2o3b2o$12bo27bobo28bo17b2o
8b3o32bo7b2o13b3o34bobo24bob2o60bobobobo$12b3o8b2o16bobo28b2o17bo9b3o
31b2o7bo14b3o33b2o24bo42bo6b2o14bobo$23bobo16bo28b2o3bo27bo29b2o26bo
32bo23bobo43b2o3b2o14b2ob2o$14bo8bo52b2o25bobo32b2o19b3o42b2o13b2o43b
2o6bo14bobo$13b2o60bobo26bo34b2o18bo43b2o80bobobobo$13bobo122bo57b3o6b
o79b2o3b2o$198bo67b3o$197bo70bo$143b3o121bo$80b3o60bo$80bo63bo$25b2o
54bo$25bobo$25bo248bo$273b2o$273bobo11$138bo56bo$73bo62bobo57bo$74b2o
61b2o55b3o$73b2o188bo$10bobo82b2o64b2o53bo2b2o40bobo$11b2o82b2o64b2o
34bobo15bobo2bo41b2o$11bo66bobo116b2o17bob2o51bo10bo$78b2o3b2o10b4o62b
4o33bo18bo51b2o10bobo$79bo2b2o11bo3bo37bo22bo3bo36b2o15b2o42bo7b2o9bo
2bob2o$84bo11b3o38bobo7bo12b2o32bo5b2o17bo43bo18bobob2o$14bo117bobo2b
2o7b2o13bo33b2o5bo14bo43b3o19b2o$14bobo53bo25b3o34b2o7b2o2bobo10bo34b
2o21b2o48b3o16b2o$14b2o17bo37b2o2bo19bo3bo33bo7bobo15b2o37bo20bo47bo
15b2obobo$18b2o11b5ob2o31b2o3b2o19b4o43bo12bo3bo37b2o17b2obo38b2o7bo
14b2obo2bo$11bo5b2o11bo5b2obo34bobo79b4o37bobo16bo2bobo38b2o25bobo$12b
2o5bo11bob2o5bo57b2o116b2o2bo38bo28bo$11b2o19b2ob5o58b2o58b2o107b2o$
15b2o20bo42b2o76b2o40b3o64bobo$14bobo62b2o119bo66bo$16bo64bo60b2o57bo$
142bobo$142bo2$19bo$18b2o$18bobo!

7G:
x = 51, y = 41, rule = B3/S23
5$28bo$28bobo$28b2o$22bo$21bo$21b3o3$8bo$9bo$7b3o2$39b2ob2o$15bo5b3o
14bobobobo$14bo6bo16bo2bo2bo$14b3o5bo16bobobo$40b2ob2o$16bo$15b2o$15bo
bo8$25b3o$25bo$26bo!

8G:
x = 303, y = 87, rule = B3/S23
3$17bo$16bo$16b3o231bobo$251b2o$251bo5$8bo$6bobo184bobo$7b2o184b2o$
194bo2$134bobo53bobo68bobo3b2o$78bo4bo50b2o55b2o7b3o13bo45b2o3bobo$76b
obo2b2o52bo7b2o46bo8bo14bobo44bo4bo29bo$13bo63b2o3b2o59bobo51bo3bo12bo
2bo78bobo$12bo6b3o78b2o31bo9bo52bobo15bobob2o42bo32bo2bo$12b3o4bo12b2o
3b2o51b3o7bobo31b2o20b2o38bobo16b2obobo40bo34b2o$20bo11bobobobo30bo8b
2ob2o7bo6b2obobo30b2o3bo18bo2b2o31bo3bo19bo2bo40b3o29b3o$8bo21bobobobo
33bo7b2ob2o8bo6bobob2o33bobo17bobobo32bo8bo13bobo72bo2bo$9bo4b3o13b2o
3b2o31b3o27bobo36bobo15bobobo32b3o7b2o14bo72bo2bo$7b3o6bo82b2o37bo3b2o
11b2o2bo42bobo58b3o25b3o$15bo61b2o3b2o57b2o16b2o104bo23b2o$78b2o2bobo
48bo9bo56bo63bo23bo2bo$77bo4bo48bobo66b2o86bobo$132b2o7bo57bobo57bo4bo
24bo$141b2o114bobo3b2o$140bobo115b2o3bobo$20b2o$20bobo$20bo7$10b3o262b
o$12bo261b2o$11bo262bobo17$70bo$68bobo$69b2o62bo$25bo108bo$23b2o107b3o
$24b2o46bo82b2o$17bobo50b2o83b2o$18b2o51b2o$18bo18b2o3b2o31bo13b2o56bo
bo5b4o$28bo8bobobobo30b2o11b3obo42bobo10b2o6bo3bo$20bo6b2o9b2obo28bo3b
obo9bo4bo43b2o11bo8b2obo$19bobo5bobo11b2o26bobo14bobobob2o41bo3bo18bob
o$11bobo5bobo16b2o29bobo15b2obobobo44bo18bob2o$12b2o6bo18bob2o21bobo3b
o18bo4bo44bo3bo15bo3bo$12bo24bobobobo21b2o22bob3o36bo11b2o16b4o$22bo
14b2o3b2o21bo24b2o38b2o10bobo$21b2o45b2o59bobo30b2o$21bobo45b2o91b2o$
15b2o51bo$16b2o$15bo128b3o$70b2o72bo$70bobo72bo$70bo!

9G:
x = 224, y = 37, rule = B3/S23
6$7bo11bo47bo$8bo10bobo46b2o$6b3o10b2o46b2o65bobo$134b2o$135bo$77bo52b
o64bo$75b2o54bo22b2o40b2o$76b2o51b3o21bo2bo38b2o20b2o$153bob2o59bo2bo$
139b2o9b2obo52bo8bob3o$11bobo23bo3bo47b2o40b2o5b2o10b2obo50b2o9b2o$12b
2o3b2o17bobobobo21bobo21bo2bo38bo2bo6bo12b2o37bo12b2o11b2o$12bo3bo2bo
12b2o2bobobo2bo21b2o20bo2bobo31bo6bo2bo15b2o41bo3bo17b2obo$15bo2bo3bo
8bo2bobobo2b2o22bo3bo17b4obo32b2o5b2o17bob2o36b3o2bobo2b3o12bobo$16b2o
3b2o9bobobobo29bobo14b2o5b2o30b2o25bob2o42bo3bo14bob2o$21bobo9bo3bo31b
o3bo12bob4o56b2obo36b2o12bo12b2o$72b2o12bobo2bo41b3o12bo2bo37b2o27b2o$
72bobo12bo2bo42bo15b2o37bo26b3obo$88b2o44bo80bo2bo$129bo68b2o16b2o$
129b2o66b2o$61b2o65bobo68bo$62b2o$14b2o10b3o32bo$13bobo10bo$15bo11bo$
70b2o$69b2o$71bo!

10G:
x = 174, y = 49, rule = B3/S23
6$147bobo$147b2o$148bo7$22bo$21bo118bo$5bo15b3o114bobo$6bo132b2o2bobo$
4b3o136b2o$144bo$16bo$17bo60bo85b2o$15b3o58bobo56bo24b2obo2bo$45b2o30b
2o57bo23b2obob2o$9b2o35bo37bobo12b2o33b3o5b2ob2o16bobo$10b2o5b2ob2o7bo
16bob2obo32b2o12bobo41b2ob2o5b3o8bobo$9bo7b2ob2o5b2o18bob2obo32bo12bo
53bo9b2obob2o$28b2o22bo22bo5b2o16bo53bo8bo2bob2o$52b2o19bobo5bo7b2o9bo
b2o59b2o$21b3o50b2o7bo5bobo9b2obo$21bo60b2o5bo15bo38bo$22bo56bo26bo37b
2o$79b2o23bobo36bobo2b2o$32b3o43bobo23b2o42bobo$32bo53b2o60bo$15b3o15b
o52bobo$17bo68bo$16bo5$140bo$140b2o$139bobo!

11G:
x = 118, y = 47, rule = B3/S23
6$15bobo$3bobo10b2o$4b2o10bo76bo$4bo87bo$92b3o$24bo$22b2o$23b2o3$57b2o
23bo$56bo2bo20bobo$20bobo33bobo22b2o5bo$21b2o3b2o27b2ob2o27bo$21bo3bo
2bo27bo30b3o$24bo2bo3bo24bo45b2o$25b2o3b2o21b2ob2o44bo2bo$30bobo21bobo
24bo5b2o14b5obo$53bo2bo22bobo4bo2bo3b2o13b2o$54b2o24b2o3bo2bo4bobo9b2o
$86b2o5bo11bob5o$109bo2bo$28b2o81b2o$29b2o54b3o$28bo58bo$86bo5b2o$48bo
43bobo$36bo10b2o43bo$35b2o10bobo$35bobo4$80b3o$82bo$81bo!

12G:
x = 70, y = 52, rule = B3/S23
4$14bo$12bobo$13b2o7$6bo19bo$7bo16bobo$5b3o17b2o8$23bo31bo3bo$24b2o7bo
20bobobobo$23b2o6b2o22bo3bo$32b2o22b3o$26b3o$21b2o33b3o$22b2o6b2o23bo
3bo$21bo7b2o23bobobobo$31bo23bo3bo8$28b2o17b3o$28bobo16bo$28bo19bo7$
40b2o$40bobo$40bo!


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Re: Syntheses of Unusual Still Lifes

Postby Extrementhusiast » September 11th, 2016, 7:30 pm

Reductions to two of those:
x = 31, y = 50, rule = B3/S23
2bobo$2b2o$3bo2$bo$2b2o20b2o$b2o3bo18bo2b2o$5bobo17bobobo$5bobo15bobob
o$6bo3b2o11b2o2bo$9b2o16b2o$11bo2$9bo$9b2o$8bobo8$o$b2o3bo$2o3bo$5b3o
3bo$10bo$10b3o4$26b2o$25bo2bo$24bo2bobo$24b4obo$2bo3b2o14b2o5b2o$3b2ob
obo14bob4o$2b2o2bo16bobo2bo$24bo2bo$25b2o4$3o$2bo$bo3b3o$7bo3b2o$6bo3b
2o$12bo!


EDIT: Extra long integral in ten gliders, tying with the old method:
x = 28, y = 25, rule = B3/S23
14bo$13bo$13b3o2$6bo$7bo$5b3o2$2bo9bobo$3b2o7b2o$2b2o9bo$24bobo$24b2o$
13bo11bo$13b2o$12bobo2$3o2b2o$2bo3b2o$bo3bo2$26bo$10b3o12b2o$12bo12bob
o$11bo!


A 19-bit SL in eleven gliders:
x = 39, y = 40, rule = B3/S23
16bobo$17b2o$7bobo7bo$8b2o19bo6bobo$8bo20bobo4b2o$17bo11b2o6bo$18bo$
16b3o$24bo$24bobo$24b2o2$29b2o$7b3o19bobo$9bo19bo$8bo3$28b3o$28bo$29bo
2$22b2o$23b2o$22bo13$b2o$obo$2bo!
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Re: Syntheses of Unusual Still Lifes

Postby yootaa » September 30th, 2016, 6:34 am

Two symmetric SLs
x = 57, y = 43, rule = B3/S23
2bobo$3b2o9bo$3bo10bobo$14b2o3$37bo$37bobo$37b2o$32bo$3bobo24bobo$4b2o
7bo17b2o$4bo8bobo20bo$13b2o19bobo8bo$35b2o6b2o$44b2o$30bo$31bo$13bo15b
3o$12bo$12b3o40bo$54bo$54b3o$11b2o13b3o$10bobo15bo$12bo14bo2$51b3o$51b
o$2b2o48bo$bobo8bo24b2o$3bo7b2o25b2o6b2o$11bobo23bo8bobo$46bo$50b2o$
50bobo$50bo$44b2o$43bobo$b2o42bo$obo10bo$2bo9b2o$12bobo!
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Re: Syntheses of Unusual Still Lifes

Postby AbhpzTa » September 30th, 2016, 12:58 pm

yootaa wrote:Two symmetric SLs
x = 57, y = 43, rule = B3/S23
2bobo$3b2o9bo$3bo10bobo$14b2o3$37bo$37bobo$37b2o$32bo$3bobo24bobo$4b2o
7bo17b2o$4bo8bobo20bo$13b2o19bobo8bo$35b2o6b2o$44b2o$30bo$31bo$13bo15b
3o$12bo$12b3o40bo$54bo$54b3o$11b2o13b3o$10bobo15bo$12bo14bo2$51b3o$51b
o$2b2o48bo$bobo8bo24b2o$3bo7b2o25b2o6b2o$11bobo23bo8bobo$46bo$50b2o$
50bobo$50bo$44b2o$43bobo$b2o42bo$obo10bo$2bo9b2o$12bobo!

The second one in 8G:
x = 35, y = 40, rule = B3/S23
17bo$17bobo$17b2o5$9bo$10b2o10bo$9b2o10bo$21b3o4$34bo$32b2o$33b2o7$2o$
b2o$o4$11b3o$13bo10b2o$12bo10b2o$25bo5$16b2o$15bobo$17bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: Syntheses of Unusual Still Lifes

Postby mniemiec » September 30th, 2016, 2:33 pm

yootaa wrote:Two symmetric SLs...

Nice. The second one can be reduced by 2 gliders by making the pairs of blocks simultaneously (now also obsoleted by AbhpzTa's version). The first one can alter each side in several different ways: one less glider can make a plain house, while one more can make a house siamese two tables. The latter is the base for the synthesis of Jack, which reduces that synthesis from 34 to 22. (The core reaction is the two-pre-honeyfarm pulsar predecessor hitting tub-like objects; This might be able to be further reduced if those can be made separately, e.g. 4 gliders per side).
x = 175, y = 120, rule = B3/S23
4bo$4bobo$4boo$$bo$bbo5bo$3o6boobbo$8boobbo$12b3o27bo3bo$41bobobobo$
41bobobobo$40booboboo$3o36bo3bo$bbo20bo16boobo$bo20bo18boboo$22b3o16bo
3bo$38booboboo$37bobobobo$37bobobobo$10b3o25bo3bo$12bobboo$11bobboo6b
3o$16bo5bo$23bo$$19boo$18bobo$20bo11$3bo38bo$4boo34bobo9bo48bo39bo$3b
oo36boo7bobo28bo19bo19bo19bo19bo$51boo12bobo12bobobboo3boo9bo18bobobb
oo3boo9bo18bobobboo3boo$bo26bo29bo6boo13bob4obobobo28bob4obobobo28bob
4obobobo$boo25bo21bo7bo7bo12boo6bobo7b3o3b3o13boo6bobo7b3o3b3o13boo6bo
bo$obo25bo11bo9boo6bo21bob4obobobo28bob4obobobo28bob4obobobo$40boo7bob
o12boo14bobobboo3boo9bo18bobobboo3boo9bo5boo11bobobboo3boo$39bobo22bob
o14bo19bo19bo19bo4boo13bo$64bo36bo39bo6bo20$141bo$102bo38bobo10bo$103b
oo36boo9boo$102boo49boo3$129bobo$129boo$130bo$$129b3o$129bo$130bo$47bo
21bo$45bobo21bobo$46boo21boo4$40bo$41boo$3bo36boo$4boo46bo112bo5bo$3b
oo45bobo112boo3boo$51boo12bobo14bobboo3boobbo27bobboo3boobbo27bobboo3b
oobbo$bo26bo29bo6boo15b4obobob4o27b4obobob4o27b3obbobobb3o$boo25bo21bo
7bo7bo20bobo37bobo37bobo$obo25bo21boo6bo23b4obobob4o27b4obobob4o27b3o
bbobobb3o$49bobo12boo16bobboo3boobbo27bobboo3boobbo27bobboo3boobbo$64b
obo98boo3boo$64bo100bo5bo$75boo$74boo$76bo4$46boo21boo$45bobo21bobo$
47bo21bo$126bo$127bo$125b3o$$126bo$126boo$125bobo3$102boo49boo$103boo
9boo36boo$102bo10bobo38bo$115bo!
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Re: Syntheses of Unusual Still Lifes

Postby Hdjensofjfnen » October 3rd, 2016, 8:55 pm

Eaters aren't unusual, but I wanted to post this anyway...

x = 10, y = 11, rule = B3/S23
2o6bo$o6bo$3bo3b3o$2b2o4$2b2o$3bo3b3o$o6bo$2o6bo!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Syntheses of Unusual Still Lifes

Postby Extrementhusiast » October 6th, 2016, 3:12 pm

15.378 and a related 17-bitter in six gliders each:
x = 41, y = 70, rule = B3/S23
9bo$8bo$8b3o3$16bo$3bo12bobo$4bo11b2o$2b3o2$36b2o$8bo27b2o$9b2o29bo$8b
2o26b5o$35bo$10bo25bobo$9bo27b2o$9b3o6$12b3o$12bo$13bo19$bo$2bo$3o3$
16bo$3bo12bobo$4bo11b2o$2b3o$36b2o$35bo2bo$8bo27b2o$9b2o29bo$8b2o26b5o
$35bo$10bo25bobo$9bo27b2o$9b3o6$12b3o$12bo$13bo!
I Like My Heisenburps! (and others)
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