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Re: Syntheses of Unusual Still Lifes

PostPosted: January 20th, 2016, 12:04 am
by Dean Hickerson
AwesomeFace wrote:12 glider synthesis for 11-bit still life

Actually it's a 20-bit still life.

Each of the blocks can be replaced by a glider, giving a 10-glider synthesis:

x = 56, y = 60, rule = B3/S23
36bobo$36b2o$37bo9$3bo$4b2o$3b2o4$bo$b2o$obo4$10bo$11bo$9b3o2$18bo$17b
o$17b3o2$9b2o5bo$8bobo6bo$10bo4b3o4$17b3o$17bo$18bo9$11bo$11b2o$10bobo
7$53b3o$53bo$54bo!

Re: Syntheses of Unusual Still Lifes

PostPosted: January 20th, 2016, 11:38 pm
by AwesomeFace
Dean Hickerson wrote:Each of the blocks can be replaced by a glider, giving a 10-glider synthesis:

neat

Re: Syntheses of Unusual Still Lifes

PostPosted: January 21st, 2016, 3:13 am
by Saka
Reaction from http://catagolue.appspot.com/hashsoup/C1/n_r38HbCTwnmHF13880649/b3s23
x = 72, y = 23, rule = B3/S23
60b2o$59bo2bo$60bobo7b2o$61bo8b2o5$9bobo52b3o$8b2ob3o39b3o$7b3ob3o3bo
41b3o2bobo$8b2ob2o3b2o41bo5bo$9b3o5bo41bobo$10bo49b2o$15b3o$3o12b2o19b
3o$5b3o33b3o2$3bo5bo29bo5bo$3bo5bo29bo5bo$3bo5bo29bo5bo2$5b3o33b3o!

Re: Syntheses of Unusual Still Lifes

PostPosted: January 21st, 2016, 2:36 pm
by Extrementhusiast
Component converting snake to carrier on side on block on block:
x = 32, y = 37, rule = B3/S23
5bo$6b2o$5b2o5$obo$b2o7bo4b2o8bo$bo7bobo3bo9bobo$9bobo4bo8b2o$10bo4b2o
$29b2o$29bobo$29bo3$4b2o3b2o10b3o$3bobo4b2o9bo$5bo3bo12bo2$18b2o$8b2o
8bobo$9b2o7bo$8bo$12bo$12b2o$11bobo7$3bo$3b2o$2bobo!


EDIT: And here's an example of taking a promising-looking three-glider collision and running with it:
x = 30, y = 25, rule = B3/S23
10bo$8bobo10bobo$9b2o10b2o$22bo4bo$bo24bo$2bo23b3o$3o20bo$24b2o$23b2o$
27b3o$27bo$28bo2$7b2o$6bobo$8bo2$3b3o$5bo13b2o$4bo14bobo$19bo2$6b2o$5b
obo$7bo!


EDIT 2: Here's another:
x = 23, y = 31, rule = B3/S23
bo$2bo$3o$11bobo$11b2o$12bo4$10bo$11b2o$10b2o2bo$14bobo$14b2o6$11b2o$
10bobo$12bo$4bo$4b2o11b2o$3bobo10b2o$18bo3$20b2o$20bobo$20bo!

Re: Syntheses of Unusual Still Lifes

PostPosted: March 7th, 2016, 6:33 am
by mniemiec
Courtesy Catagolue: 10-glider synthesis for 14.352, previously from 15 gliders - for almost two decades, the last remaining still-life up to 14 bits that could not be synthesized for <= 1 glider/bit. This yields trivial 12-glider syntheses for the related boat versions 15.615 and 15.618, beehive version 16.1314, barge versions 16.1312 and 16.1320, and loaf versions 17.2052 and 17.2063:
x = 131, y = 49, rule = B3/S23
121bo$119boo$120boo7$106bo$104boo$105boo4$98bo$99bo$97b3o$48bo44b3o$
47bo19bo27bo11bo17boo$47b3o16bobo25bo11bobo16bo$bo64bobo37bobo18bobbo$
bbo47b3o14bo39bo18b5o$3o47bo$20boo18boo9bo8boo38boo26bo$bbo17bobo17bob
o17bobo37bobo24bobo$boo18bo19bo19bo39bo26bo$bobo7$87bo$87boo$86bobo10$
72bo$72boo$71bobo!

EDIT: this is from soup: http://catagolue.appspot.com/hashsoup/C1/n_KEmRfLkbsF8y1574707/b3s23

Re: Syntheses of Unusual Still Lifes

PostPosted: March 8th, 2016, 7:10 am
by BobShemyakin
mniemiec wrote:Courtesy Catagolue: 10-glider synthesis for 14.352, previously from 15 gliders - for almost two decades, the last remaining still-life up to 14 bits that could not be synthesized for <= 1 glider/bit. This yields trivial 12-glider syntheses for the related boat versions 15.615 and 15.618, beehive version 16.1314, barge versions 16.1312 and 16.1320, and loaf versions 17.2052 and 17.2063:
x = 131, y = 49, rule = B3/S23
121bo$119boo$120boo7$106bo$104boo$105boo4$98bo$99bo$97b3o$48bo44b3o$
47bo19bo27bo11bo17boo$47b3o16bobo25bo11bobo16bo$bo64bobo37bobo18bobbo$
bbo47b3o14bo39bo18b5o$3o47bo$20boo18boo9bo8boo38boo26bo$bbo17bobo17bob
o17bobo37bobo24bobo$boo18bo19bo19bo39bo26bo$bobo7$87bo$87boo$86bobo10$
72bo$72boo$71bobo!

EDIT: this is from soup: http://catagolue.appspot.com/hashsoup/C1/n_KEmRfLkbsF8y1574707/b3s23

It's cool!
You can continue with 17.1425, 17.1450, 17.1429, 17.1446, 18.4405, 18.440:
x = 88, y = 88, rule = B3/S23
7b2o18b2o33b2o18b2o$7bo19bo34bo19bo$9bo2bo16bo2bo31bo2bo16bo2bo$8b5o
15b5o30b5o15b5o2$10bo19b3o32bo19bo$9bobo6bobo8bo2bo31bobo17bobo$10bo7b
2o10b2o33bo17bo2bo$19bo42bo20bobo$15b2o46bo20bo$15bobo43b3o$15bo2$59b
2o$60b2o$59bo10$7b2o18b2o33b2o18b2o$7bo19bo34bo19bo$9bo2bo16bo2bo31bo
2bo16bo2bo$8b5o15b5o30b5o15b5o2$10bo17b3o34bo19bo$obo6bobo16bo2bo32bob
o17bobo$b2o7bo18b2o34bo18bo2bo$bo66bo16bobo$4b2o61bo18bo$3bobo61b3o$5b
o2$70b2o$69b2o$71bo10$7b2o18b2o$7bo19bo$9bo2bo5bo10bo2bo$8b5o3b2o10b5o
$17b2o$10bo19b3o$9bobo2b2o13bo2bo$10bo3bobo12b2o$14bo2$10b3o$12bo$11bo
13$12b2o18b2o$12bo19bo$7bo6bo2bo16bo2bo$8b2o3b5o15b5o$7b2o$15bo17b3o$
10b2o2bobo16bo2bo$9bobo3bo19b2o$11bo2$13b3o$13bo$14bo!

It also affects tables 14 and 15-bit still lifes.

Bob Shemyakin

Re: Syntheses of Unusual Still Lifes

PostPosted: March 8th, 2016, 12:26 pm
by mniemiec
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!

Re: Syntheses of Unusual Still Lifes

PostPosted: March 17th, 2016, 10:07 am
by Dean Hickerson
A 16-bit still-life (moose antlers with one eater head replaced by a tub) showed up in a random soup that I was running, formed by adding a blinker to a common predecessor of moose antlers. Using 4 gliders to build moose antlers gives this 6-glider synthesis:
x = 24, y = 16, rule = B3/S23
9bo$10b2o$9b2o$20bo$20bobo$4bo15b2o$2bobo$3b2o3$3o$2bo$bo6b3o$10bo10b
3o$9bo11bo$22bo!

I don't see this object in Mark Niemiec's list of still-lifes buildable from 6 gliders (or fewer), so maybe this is an improvement.

But the same mechanism occurs in some random soups in the Catagolue, so I wouldn't be surprised if it's been found before.

Re: Syntheses of Unusual Still Lifes

PostPosted: March 17th, 2016, 1:17 pm
by mniemiec
Dean Hickerson wrote:A 16-bit still-life (moose antlers with one eater head replaced by a tub) showed up in a random soup that I was running, formed by adding a blinker to a common predecessor of moose antlers. Using 4 gliders to build moose antlers gives this 6-glider synthesis:
x = 24, y = 16, rule = B3/S23
9bo$10b2o$9b2o$20bo$20bobo$4bo15b2o$2bobo$3b2o3$3o$2bo$bo6b3o$10bo10b
3o$9bo11bo$22bo!

I don't see this object in Mark Niemiec's list of still-lifes buildable from 6 gliders (or fewer), so maybe this is an improvement.

But the same mechanism occurs in some random soups in the Catagolue, so I wouldn't be surprised if it's been found before.

This is 16.1452, and it has no explicit synthesis yet in my own internal database (it implicitly takes 7 - 4 for antlers + 3 for eater head-to-tub), although I haven't yet had a chance to examine all of Bob Shemyakin's small syntheses to see if any of those include this object. He might be able to answer that.

(And, by the way, welcome back!)

Re: Syntheses of Unusual Still Lifes

PostPosted: March 19th, 2016, 7:55 pm
by Dean Hickerson
Here's an 8-glider synthesis of an 18-bit still-life:

x = 56, y = 49, rule = B3/S23
17bobo$18b2o$18bo9$16bo$14bobo13bo$15b2o12bo$29b3o$18bo$19bo31bo$17b3o
30bobob2o$10bo39bobob2o$8bobo40b2o$9b2o43b2o$55bo$54bo$37b3o13bo$37bo
15b2o$38bo5$12b2o$11bobo$13bo14$2o$b2o$o!

Re: Syntheses of Unusual Still Lifes

PostPosted: April 7th, 2016, 2:24 am
by Dean Hickerson
Mark Niemiec's database gives a 14-glider synthesis of the 16-bit still life "teardrop tie loaf". Here's one with 12 gliders:
x = 105, y = 80, rule = B3/S23
104bo$102b2o$103b2o15$bo$2bo$3o10$65bobo$65b2o$66bo8$43bobo$35bo8b2o$
36bo7bo$34b3o3$64b2o$63b2o$65bo5$59b2o$58b2o$60bo2$33b2o$32bobo$34bo$
40bo$40b2o$39bobo2$54bo$53b2o$53bobo4$57b3o$57bo$58bo6$26b2o$25bobo$
27bo!

This showed up in a 5-glider collision, forming in generation 1958, but with so much extra junk that cleaning it up with fewer than 7 more gliders seems difficult:
x = 37, y = 32, rule = B3/S23
14bo$15b2o$14b2o2$o$b2o$2o6$18bobo$19b2o$19bo3$19bo$18b2o$18bobo10$35b
o$34b2o$34bobo!

Re: Syntheses of Unusual Still Lifes

PostPosted: April 7th, 2016, 7:23 am
by BlinkerSpawn
Dean Hickerson wrote:This showed up in a 5-glider collision, forming in generation 1958, but with so much extra junk that cleaning it up with fewer than 7 more gliders seems difficult:
x = 37, y = 32, rule = B3/S23
14bo$15b2o$14b2o2$o$b2o$2o6$18bobo$19b2o$19bo3$19bo$18b2o$18bobo10$35b
o$34b2o$34bobo!

The reaction forming the SL can be isolated, allowing a 9G synthesis:
x = 85, y = 50, rule = B3/S23
83bo$82bo$82b3o14$16bo30bo$15bo32bo16bo$15b3o28b3o15bobo$64bobo$65bo2$
60b2o7b2o$59bo2bo5bo2bo$60b2o7b2o2$17b2o25b2o19bo$2bo14bobo23bobo18bob
o$obo14bo27bo18bobo$b2o62bo$52b3o5bo$54bo4bobo$53bo5bo2bo$60b2o3$11b3o
$11bo$12bo9$41b3o$43bo$42bo!

Re: Syntheses of Unusual Still Lifes

PostPosted: April 7th, 2016, 8:59 am
by Dean Hickerson
BlinkerSpawn wrote:The reaction forming the SL can be isolated, allowing a 9G synthesis:

Nice improvement! (I should have noticed that.)

Meanwhile, I found a 7-glider synthesis, based on one of the 1144 soups in the Catagolue that produces this object:
x = 34, y = 34, rule = B3/S23
21bo$19bobo$20b2o$31bo$31bobo$31b2o$8bo$9b2o$8b2o3$24bo$24b2o$23bobo2$
28b2o$28bobo$28bo6$16b2o$17b2o$16bo6$3o$2bo$bo!

I only looked at the first 20 or so of the soups. There could be something even better among the others.

(Edited to add link to the other soups. And now there are 1145 of them.)

Re: Syntheses of Unusual Still Lifes

PostPosted: April 7th, 2016, 1:51 pm
by BobShemyakin
Dean Hickerson wrote:
BlinkerSpawn wrote:The reaction forming the SL can be isolated, allowing a 9G synthesis:

Nice improvement! (I should have noticed that.)

Meanwhile, I found a 7-glider synthesis, based on one of the 1144 soups in the Catagolue that produces this object:
x = 34, y = 34, rule = B3/S23
21bo$19bobo$20b2o$31bo$31bobo$31b2o$8bo$9b2o$8b2o3$24bo$24b2o$23bobo2$
28b2o$28bobo$28bo6$16b2o$17b2o$16bo6$3o$2bo$bo!


A year ago I found 5-glider syntheses of 16.1751:
x = 29, y = 14, rule = B3/S23
10bo$9bo$9b3o2$26b2o$3bo21bo2bo$bobo3bobo16bobo$2b2o3b2o14b3obo$8bo13b
o2bo$22bo2bo$3o20b2o$2bo7bo$bo7b2o$9bobo!

See also

Bob Shemyakin

Re: Syntheses of Unusual Still Lifes

PostPosted: April 7th, 2016, 7:14 pm
by Dean Hickerson
BobShemyakin wrote:A year ago I found 5-glider syntheses of 16.1751:

Excellent!


Thanks. From now on I'll compare any of my 'improved' syntheses to yours in that thread. Are there any other synthesis collections that I should know about?

By the way, I see that many of the RLE files in 5gliders.rar have bad headers, like "x = -78, y = -60, rule = S S23/B3" in p2o8g5-bipole.lif. Golly ignores the negative x and y values, but interprets the rule as one in which every cell dies, so I've edited my copies to correct that. I've seen this rule error before; do you know what causes it?

Re: Syntheses of Unusual Still Lifes

PostPosted: April 7th, 2016, 7:37 pm
by dvgrn
Dean Hickerson wrote:By the way, I see that many of the RLE files in 5gliders.rar have bad headers, like "x = -78, y = -60, rule = S S23/B3" in p2o8g5-bipole.lif. Golly ignores the negative x and y values, but interprets the rule as one in which every cell dies, so I've edited my copies to correct that. I've seen this rule error before; do you know what causes it?

The pattern must have been saved in Life32. Version 2.16 was the only one that did that, if I recall correctly. EDIT: I recognize both the negative dimensions and the extra S in "S S23/B3". Very strange bug -- it only happened sometimes. But Golly came along, and then a new patched version of Life32 never surfaced.

Re: Syntheses of Unusual Still Lifes

PostPosted: April 8th, 2016, 9:52 am
by triller
dvgrn wrote:
Dean Hickerson wrote:By the way, I see that many of the RLE files in 5gliders.rar have bad headers, like "x = -78, y = -60, rule = S S23/B3" in p2o8g5-bipole.lif. Golly ignores the negative x and y values, but interprets the rule as one in which every cell dies, so I've edited my copies to correct that. I've seen this rule error before; do you know what causes it?

The pattern must have been saved in Life32. Version 2.16 was the only one that did that, if I recall correctly.

Or WinLife32. I use v2.2.0 (preferred for its drag and drop sensibility). I haven't noticed the negative dimensions, but always have to open the RLE in a word processor to swap the S23/B3 to B3/S23 before posting up the patterns.
Golly doesn't seem to mind the reversal though.

triller

Re: Syntheses of Unusual Still Lifes

PostPosted: April 8th, 2016, 8:53 pm
by gmc_nxtman
A one-sided 9G synthesis of a 31-cell still life:

x = 35, y = 23, rule = B3/S23
6b2o$6bobo$6bo$3b2o8bo$2bobo8b2o2b2o$4bo7bobob2o$18bo2$3b2o$2bobo12bo$
4bo11b2o$16bobo6$33bo$32b2o$3o29bobo$2bo12b2o$bo12b2o$16bo!


Via http://catagolue.appspot.com/hashsoup/C1/m_cTq7zfAhmysk1224392/b3s23

And an 8-glider synthesis of a 19-bit SL that seems vaguely familiar (maybe a catalyst in a conduit or something?)

x = 42, y = 33, rule = B3/S23
o$b2o$2o8$19bo$18bo$18b3o$16bo$17bo$15b3o2$31bobo$32b2o$32bo2$17b2o11b
2o$16b2o11b2o$18bo12bo2$13b3o$15bo$14bo3$39b3o$39bo$40bo!


http://catagolue.appspot.com/hashsoup/C1/rGKeyhfbxJbb661242/b3s23

Re: Syntheses of Unusual Still Lifes

PostPosted: April 8th, 2016, 10:45 pm
by Dean Hickerson
Here's a 4-glider synthesis of what Mark Niemiec's Search For Pattern site calls "14.64; Block on down long bookend w/down boat":
x = 26, y = 9, rule = B3/S23
4bo$3bo5bo$3b3o2bo11bo$8b3o8bobo$obo16b2obob2o$b2o19bob2o$bo4bo15bo$5b
2o14b2o$5bobo!

This seems to be new; both Mark's site and Bob Shemyakin's files give 7-glider syntheses of this.

Re: Syntheses of Unusual Still Lifes

PostPosted: April 9th, 2016, 4:04 am
by BobShemyakin
Dean Hickerson wrote:Here's a 4-glider synthesis of what Mark Niemiec's Search For Pattern site calls "14.64; Block on down long bookend w/down boat":
x = 26, y = 9, rule = B3/S23
4bo$3bo5bo$3b3o2bo11bo$8b3o8bobo$obo16b2obob2o$b2o19bob2o$bo4bo15bo$5b
2o14b2o$5bobo!

This seems to be new; both Mark's site and Bob Shemyakin's files give 7-glider syntheses of this.

This leads to a change in table 4G synthesis
Bob Shemyakin

Re: Syntheses of Unusual Still Lifes

PostPosted: April 9th, 2016, 5:17 am
by mniemiec
Dean Hickerson wrote:Here's a 4-glider synthesis of what Mark Niemiec's Search For Pattern site calls "14.64; Block on down long bookend w/down boat":
x = 26, y = 9, rule = B3/S23
4bo$3bo5bo$3b3o2bo11bo$8b3o8bobo$obo16b2obob2o$b2o19bob2o$bo4bo15bo$5b
2o14b2o$5bobo!

This seems to be new; both Mark's site and Bob Shemyakin's files give 7-glider syntheses of this.

Very nice! My synthesis would now actually take 6, since it was based on 12.28 (block on down long bookend) + 2
gliders for eater-head-to-down-boat, but Bob Shemyakin had recently (within the past couple of years) reduced 12.28 to 4 gliders. Unfortunately, that one synthesis forms the basis for literally hundreds of others, so I haven't yet had the time to update everything it affects yet.

Re: Syntheses of Unusual Still Lifes

PostPosted: April 9th, 2016, 4:33 pm
by gmc_nxtman
A bit awkward two-sided synthesis of a 21-cell SL:

x = 105, y = 57, rule = B3/S23
11bobo$12b2o$12bo3$11bobo$12b2o$12bo3$bo$2bo$3o24$48bo$46bobo$47b2o2$
91bobo$91b2o$92bo2$58bo$59bo39bo$57b3o39bobo$99b2o2$78bo$76b2o$77b2o
23bo$41bo60bobo$42b2o58b2o$41b2o32bo$73bobo$74b2o!


And a probably improvable 17-glider synth of a 19-bit SL:

x = 39, y = 67, rule = B3/S23
7bo$5bobo$6b2o11$20bo$18bobo$19b2o16bo$36bo$36b3o6$28bo$29bo$27b3o$20b
2o9bo$20bobo8bobo$21b2o8b2o2$15bo$16bo$14b3o3bo$21b2ob2o$20b2o2bobo9bo
$24bo11bobo$36b2o2$33b3o$33bo$34bo2$23b2o$22b2o$24bo$11b2o$12b2o$11bo
17$b2o$obo$2bo!

Re: Syntheses of Unusual Still Lifes

PostPosted: April 9th, 2016, 7:59 pm
by Dean Hickerson
gmc_nxtman wrote:A bit awkward two-sided synthesis of a 21-cell SL:

The 3 cleanup gliders can be replaced by 2, giving a 10-glider synthesis:
x = 108, y = 127, rule = B3/S23
obo$b2o$bo31$34bo$32bobo$33b2o2$77bobo$77b2o$78bo2$44bo$45bo39bo$43b3o
39bobo$85b2o2$64bo$62b2o$63b2o23bo$27bo60bobo$28b2o58b2o$27b2o32bo$59b
obo$60b2o71$106bo$105b2o$105bobo!

And a probably improvable 17-glider synth of a 19-bit SL:

Replacing 2 of the gliders that form a blinker by 2 that form a blinker and a loaf gets rid of the escaping glider, so this uses 16 gliders:
x = 67, y = 95, rule = B3/S23
5bobo$6b2o$6bo11$18bobo$19b2o$19bo46bo$64b2o$65b2o6$27bo$28b2o$27b2o$
59bobo$59b2o$60bo2$14bo$15b2o$14b2o8$34b2o$34bobo11bo$31bo3b2o9b2o$29b
obo15b2o$30b2o2$52bo$51b2o$51bobo3$43bo$42b2o$42bobo17$51b2o$51bobo$
51bo$11b2o$10bobo$12bo17$bo$b2o$obo!

Re: Syntheses of Unusual Still Lifes

PostPosted: April 23rd, 2016, 3:58 am
by BobShemyakin
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!

Some more unusual converters:
x = 93, y = 56, rule = B3/S23
9bobo7bobo$10b2o7b2o$10bo9bo48bo$17bo46bo4bobo$16b2o47b2o2b2o$16bobo
45b2o2$30bo$10bo18bobo33bo4bo$9bobo17bobo33b2o2bobo18bo$10bo19bo33bobo
3bo17b3o$87bo$8b5o15b5o35b5o15b5o$9bo2bo16bo2bo36bo2bo16bo2bo$7bo19bo
39bo19bo$7b2o18b2o38b2o18b2o23$o$b2o$2o61bo$64b2o$63b2o$4bo6bobo53bo$
5b2o4b2o53bo$4b2o6bo53b3o$60b3o$30b2o30bo$4b3o3bo18bo2bo28bo8bo19b2o$
6bo2bobo16bo2bo23bo13bobo19bo$5bo4bo17b3o24b2o13bo17b3o$54bobo30bo$8b
5o15b5o35b5o15b5o$9bo2bo16bo2bo36bo2bo16bo2bo$7bo19bo39bo19bo$7b2o18b
2o38b2o18b2o!

Any more:
x = 182, y = 125, rule = B3/S23
172bo$170b2o$171b2o6$125bo$123bobo$124b2o8$42bobo59bobo$43b2o7bo2bo48b
2o37bo$43bo6bobo2bobo47bo35bobo4bo$51b2o2b2o43bobo39b2o2b2o$101b2o44b
2o$7bo5bo87bo$6bo4b2o159b2o$6b3o3b2o132b2o23bo2bo$102b3o42b2o22b2obo$
76b2o26bo41bo7bo17bob2o$8bo48bo17bo2bo24bo3bo16bob2o25bobo16bo2bo$7bob
o17b2o27bobo17bo2bo26bobo15b2o2bo24b2o18b2o$7b2o18b2o28b2o18b2o28b2o
18b2o$151b6o14b6o$5b6o14b6o24b6o14b6o24b6o14b6o20bo2bo2bo13bo2bo2bo$5b
o2bo2bo13bo2bo2bo23bo2bo2bo13bo2bo2bo23bo2bo2bo13bo2bo2bo24b2o18b2o$
10b2o18b2o28b2o18b2o28b2o18b2o14$153bo$151b2o$152b2o$103bo$6bo41bo55b
2o42bobo$5bo43b2o3bo48b2o3bobo38b2o$2bo2b3o40b2o2b2o46bo7b2o39bo$obo
50b2o45b2o7bo$b2o96bobo2$8bo18b2o23bo4bo16b2o31bo20b2o27bo16b2o2b2o$7b
obo16bo2bo22b2o2bobo15bo3bo27bobo18bobo20b3o3bobo15bo4bo$7b2o18b2o22bo
bo3b2o16b4o28b2o18b2o23bo4b2o16b4o$151bo$5b6o14b6o24b6o14b6o24b6o14b6o
24b6o14b6o$5bo2bo2bo13bo2bo2bo23bo2bo2bo13bo2bo2bo23bo2bo2bo13bo2bo2bo
23bo2bo2bo13bo2bo2bo$10b2o18b2o28b2o18b2o28b2o18b2o28b2o18b2o$143b3o$
145bo$144bo12$105bo47bo$95bo7b2o46bobo$10bo82bobo8b2o46b2o$8b2o37bo46b
2o3bobo$9b2o37b2o4bo45b2o53bo$4bobo40b2o4bo20bo25bo52b2o$5b2o46b3o17bo
bo78b2o$5bo68b2o97bo$27bo99bo44bobo$8bo17bobo23b2o3bo16b2o31bo18bobo
28bo15bobo$7bobo16bo2bo21bobo2bobo15bo3bo27bobo17bo2bo20bo5bobo16bo2bo
$7b2o18b2o24bo3b2o16b4o28b2o18b2o13bo7b2o5b2o16b4o$142b2o5bobo$5b6o14b
6o24b6o14b6o24b6o14b6o10bobo11b6o14b6o$5bo2bo2bo13bo2bo2bo23bo2bo2bo
13bo2bo2bo23bo2bo2bo13bo2bo2bo23bo2bo2bo13bo2bo2bo$10b2o18b2o28b2o18b
2o28b2o18b2o28b2o18b2o5$148bo$146bobo$147b2o5$102bo$55bo47bo$54bo46b3o
53bo$54b3o99bo$153bo2b3o$2bo46bo55bo45bobo$obo4bo42b2o54bo45b2o$b2o3bo
42b2o2b3o48b3o$6b3o46bo71b2o$54bo47bo23bo2bo20b3o$102b2o22b3o23bo$27b
2o72bobo47bo$8bo17bo2bo27bo20bo28b2o17b3o28b2o19b2o$7bobo16bo2bo26bobo
18bobo26bo2bo16bo2bo26bo2bo15bo3bo$7b2o18b2o28b2o18b2o28b2o18b2o28b2o
16b4o2$5b6o14b6o24b6o14b6o24b6o14b6o24b6o14b6o$5bo2bo2bo13bo2bo2bo23bo
2bo2bo13bo2bo2bo23bo2bo2bo13bo2bo2bo23bo2bo2bo13bo2bo2bo$10b2o18b2o28b
2o18b2o28b2o18b2o28b2o18b2o!

Any more:
x = 233, y = 148, rule = B3/S23
190bo$191b2o$190b2o3$137bo$137bobo5bobo$71bobo58bobo2b2o6b2o56bobo7bo$
72b2o59b2o11bo56b2o7bo$72bo4bo55bo70bo7b3o$75b2o$10bo65b2o124bo$11bo
19bo171b2o$9b3o18bobo169b2o$31bo42b2o$13b2o17b3o38bobo3b2o16bo2b2o42bo
18b2o44bo$9b2o2bobo19bo39bo2bo2bo14bobo2bo41bobo16bo2bo42bobo14b2o3bo$
8bobo3b2o18b2o43b2o16bob2o43b2o16bob2o43b2o14bo2b3o$10bo22bo64bo64bo
62b2o$14b2o18b2o43b2o18b2o43b2o18b2o43b2o18b2o$15bo19bo44bo19bo44bo19b
o44bo19bo$15bobo17bobo42bobo17bobo42bobo17bobo42bobo17bobo$16b2o18b2o
43b2o18b2o43b2o18b2o43b2o18b2o11$10bobo181bo$10b2o183b2o$11bo182b2o2$
10bo$8bobo129bo60bo$9b2o63bobo64bo60b2o$75b2o62b3o2bo56b2o3bo$75bo68bo
bo59bobo$69bo74b2o60b2o$7b2o61b2o157bo$8b2o59b2o3bo153bobo$7bo5b2o59b
2o3b2o19b2o36b2o4bo20b2o35bo6b2o18bobo$13bobo57bobo2bo2bo16bo2bo35bobo
3bobo20bo35b2o4bo2bo19bo$14b2o14bob2o45b2o16bob2o38bo4b2o17b3o35bobo5b
2o16b4o$30b2ob3o62bo64bo63bo$14b2o20bo42b2o18b2o43b2o18b2o43b2o18b2o$
15bo19bo44bo19bo44bo19bo44bo19bo$15bobo17bobo42bobo17bobo42bobo17bobo
42bobo17bobo$16b2o18b2o43b2o18b2o43b2o18b2o43b2o18b2o12$obo$b2o$bo71bo
$74b2o59bo68bo$7bobo3bobo57b2o58bobo69bo$8b2o3b2o62bobo54b2o67b3o$8bo
5bo62b2o61bo67bo$78bo59b2o67bo$139b2o66b3o$8b3o$10bo22b2o101bo26bobo
63b2o$9bo5bo17bobo37b2o4b2o19b2o34b2o6b2o17b2obo37b2o3b2o18bobo$14bobo
19bo37b2o2bo2bo15b2o2bo33bobo5bo2bo19bo38b2obo2bo19bo$14b2o18b2o37bo5b
2o16bob2o43b2o17b3o38bo4b2o16b4o$33bo64bo64bo33b2o28bo$14b2o18b2o43b2o
18b2o43b2o18b2o32b2o9b2o18b2o$15bo19bo44bo19bo44bo19bo31bo12bo19bo$15b
obo17bobo42bobo17bobo42bobo17bobo42bobo17bobo$16b2o18b2o43b2o18b2o43b
2o18b2o43b2o18b2o14$135bo68bobo$6bo129b2o67b2o$7b2o126b2o68bo$6b2o68bo
62bobo$71bo5b2o60b2o66bo$9bo62b2o2b2o62bo64b2o$9bobo59b2o133b2o$9b2o$
74b2o24b2o31b3o89b2ob2o$15bo19b2o36bobo3b2o18bo2bo32bo8b2o19b2o29b3o
10b2o15bobo$7b3o4bobo15b2o2bo38bo2bo2bo16bo2bo32bo8bo2bo16bo2bo31bo9bo
2bo14bo3bo$9bo4b2o15bo2b2o43b2o16bob2o43b2o16bob2o31bo11b2o16b4o$8bo
23bo65bo63bo39b3o$14b2o17b3o43b2o18b2o43b2o17b3o38bo4b2o18b2o$15bo19bo
44bo19bo44bo19bo37bo6bo19bo$15bobo17bobo42bobo17bobo42bobo17bobo42bobo
17bobo$16b2o18b2o43b2o18b2o43b2o18b2o43b2o18b2o11$33bo$34bo$32b3o3$54b
o$55bo$53b3o3$57bo9bo$57b2o8bobo$56bobo8b2o4$68b2o26bo$68b2o25bobo$95b
o2bo$68b2o26bobo$69bo24bobob3o$69bobo22b2o5bo$70b2o28bo$100bobo$101b2o
!

Any more:
x = 114, y = 105, rule = B3/S23
22bo$23bo2bo$21b3o2bobo17bo$26b2o17bobo$44bobo$23b2o16bo2bo$20bobobo
15bobobo$20b2o2bob2o12b2o2bob2o$24bo2bo16bo2bo$25b2o18b2o17$83bobo$18b
obo52bo9b2o$8bo9b2o54b2o8bo$9b2o8bo53b2o$8b2o70bobo$15bobo63b2o$16b2o
63bo21b2o$16bo21b2o49b2o11bo2bo3b2o$37bo2bo47bobo11b2obo2bobo$23b2o12b
2obo2b2o32bo7bobo2bob2o11bobo2bob2o$12bo7bobobo15bobobo32b2o6b2o3bo2bo
11b2o3bo2bo$12b2o6b2o2bob2o12b2o2bob2o28bobo12b2o18b2o$11bobo10bo2bo
16bo2bo$25b2o18b2o19$o$b2o79bobo$2o80b2o$16bo66bo$15bo64bo$12bo2b3o60b
obo$10bobo66b2o$11b2o9b2o17bob2o61b2o$19bobobo17b2obo42b2o16bo2bo$19b
2o2bob2o17bob2o38bobo15bobobo$11bo11bo2bo17bo2bo35bobo2bob2o13bo2bob2o
$11b2o11b2o19b2o36b2o3bo2bo16bo2bo$10bobo63b2o11b2o18b2o$77b2o$76bo4$
66b2o$67b2o$66bo13$20bo$19bo$2bo16b3o$3b2o$2b2o2$14bo$15bo$13b3o26b2o$
23b2o17bobo$20bobobo15bobobo$11b3o6b2o2bob2o12b2o2bob2o$13bo10bo2bo16b
o2bo$12bo12b2o18b2o!


Bob Shemyakin

Re: Syntheses of Unusual Still Lifes

PostPosted: April 23rd, 2016, 10:50 am
by gmc_nxtman
Another component (which is simple enough that it might be known):

x = 14, y = 8, rule = B3/S23
b2o$bo2bo$2b2obo2bo$5bo2bobo$5o3b2o$o10b2o$3b2o6bobo$3b2o6bo!


Something similar:

x = 10, y = 8, rule = LifeHistory
.A$2.A4.A$3A2.3A$4.A$4.6A$9.A$4.2A2.A$4.2A2.2A!


Another one-glider component:

x = 7, y = 10, rule = LifeHistory
3.A$3.A.A$3.2A$2A$A.A$2.A$2.A.A$3.A.A$5.A$5.2A!