Synthesising Oscillators

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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wwei47
Posts: 1651
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Re: Synthesising Oscillators

Post by wwei47 » August 6th, 2021, 9:53 pm

Star with blocks:

Code: Select all

x = 1448, y = 53, rule = B3/S23
44bo$43bo$43b3o3$954bo262bo67bo$952b2o43bo220b2o63b2o$2bo950b2o40b2o
220b2o52bo12b2o$obo107bobo598bobo271bobo8b2o227bo43bobo$b2o107b2o600b
2o272b2o235bobo8bo35b2o$111bo36bo563bo273bo237b2o7bo$34bo114b2o523bo
558b3o$27bo6bobo111b2o294bo218bo8b2o$27bobo4b2o407bo217bobo9b2o$27b2o
349bo64b3o216b2o$379bo355b2o49b2o17b2o49b2o17b2o49b2o17b2o8bo40b2o16bo
53bo15bo53bo15bo53bo15bo53bo$12bo364b3o354bo2bo47bo2bo15bo2bo47bo2bo
15bo2bo47bo2bo15bo2bo6b2o39bo2bo14bobo51bobo13bobo51bobo13bobo51bobo
13bobo51bobo$13bo87b2o631bo2bo47bo2bo15bo2bo47bo2bo15bo2bo47bo2bo15bo
2bo6bobo38bo2bo15bobo49bobo15bobo49bobo15bobo49bobo15bobo41b3o5bobo$
11b3o87bobo631b2o49b2o17b2o49b2o17b2o49b2o17b2o49b2o17bobo47bobo17bobo
47bobo17bobo47bobo17bobo42bo4bobo$22bo65bo13bo55bo292b2o57b2o9b2o57b2o
9b2o57b2o9b2o49b3o5b2o9b2o57b2o9b2o57b2o9b2o57b2o9b2o57b2o9b2o3bo49bo
3b2o9b2o3bo49bo3b2o9b2o3bo49bo3b2o9b2o3bo42bo6bo3b2o$21bo65bobo67bobo
290bo2bo55bo2bo7bo2bo55bo2bo7bo2bo55bo2bo7bo2bo50bo4bo2bo7bo2bo55bo2bo
7bo2bo55bo2bo7bo2bo55bo2bo7bo2bo55bo2bo7bo2bo55bo2bo7bo2bo55bo2bo7bo2b
o55bo2bo7bo2bo55bo2bo$21b3o7b2o54b2o7bo60b2o7bo79bo59bo69bo69bo4bobo
55bobo4bo4bobo55bobo4bo4bobo55bobo4bo4bobo49bo5bobo4bo4bobo55bobo4bo4b
obo55bobo4bo4bobo55bobo4bo4bobo55bobo4bo4bobo55bobo4bo4bobo55bobo4bo4b
obo55bobo4bo4bobo55bobo4bo3b2o59b2o3bo3b2o59b2o3bo3b2o$31bobo61b3o67b
3o77b3o57b3o67b3o67b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo
57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo
4b3o4bo57bo4b3o2b2o59b2o2b3o2b2o59b2o2b3o2b2o$13bo17bo61b3ob3o63b3ob3o
73b3ob3o53b3ob3o63b3ob3o8b2o45b2o6b3ob3o63b3ob3o63b3ob3o63b3ob3o63b3ob
3o63b3ob3o63b3ob3o63b3ob3o63b3ob3o63b3ob3o63b3ob3o63b3ob3o16bo29bo16b
3ob3o63b3ob3o63b3ob3o$14bo78bo5bo63bo5bo73bo5bo53bo5bo63bo5bo8bobo43bo
bo6bo5bo63bo5bo63bo5bo63bo5bo63bo5bo63bo5bo63bo5bo63bo5bo63bo5bo63bo5b
o63bo5bo63bo5bo15b2o29b2o15bo5bo63bo5bo63bo5bo$12b3o77b2o5b2o61b2o5b2o
71b2o5b2o51b2o5b2o61b2o5b2o7bo47bo5b2o5b2o61b2o5b2o61b2o5b2o61b2o5b2o
61b2o5b2o61b2o5b2o61b2o5b2o61b2o5b2o61b2o5b2o61b2o5b2o61b2o5b2o61b2o5b
2o14bobo27bobo14b2o5b2o61b2o5b2o61b2o5b2o$91b2o7b2o59b2o7b2o69b2o7b2o
49b2o7b2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o7b
2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o7b2o59b2o
7b2o59b2o7b2o$38b3o51b2o5b2o61b2o5b2o71b2o5b2o51b2o5b2o61b2o5b2o61b2o
5b2o53bo7b2o5b2o61b2o5b2o5bo55b2o5b2o61b2o5b2o61b2o5b2o61b2o5b2o61b2o
5b2o61b2o5b2o61b2o5b2o61b2o5b2o61b2o5b2o61b2o5b2o44bobo14b2o5b2o61b2o
5b2o14bobo$38bo54bo5bo63bo5bo73bo5bo53bo5bo63bo5bo63bo5bo52bobo8bo5bo
63bo5bo6bobo54bo5bo63bo5bo63bo5bo63bo5bo63bo5bo63bo5bo63bo5bo63bo5bo
63bo5bo63bo5bo46b2o15bo5bo63bo5bo15b2o$21bo17bo53b3ob3o63b3ob3o73b3ob
3o53b3ob3o63b3ob3o63b3ob3o53b2o8b3ob3o63b3ob3o6b2o55b3ob3o63b3ob3o63b
3ob3o63b3ob3o63b3ob3o63b3ob3o63b3ob3o63b3ob3o63b3ob3o63b3ob3o46bo16b3o
b3o63b3ob3o16bo$19bobo73b3o67b3o77b3o57b3o67b3o67b3o67b3o62bo4b3o62bo
4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o
4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo57bo4b3o4bo58b2o2b3o4bo$20b2o7b3o
64bo7b2o60bo7b2o70bo7b2o50bo7b2o60bo69bo69bo62bobo4bo62bobo4bo4bobo55b
obo4bo4bobo55bobo4bo4bobo55bobo4bo4bobo5bo49bobo4bo4bobo55bobo4bo4bobo
55bobo4bo4bobo55bobo4bo4bobo55bobo4bo4bobo55bobo4bo4bobo55bobo4bo4bobo
57b2o3bo4bobo$31bo71bobo67bobo77bobo57bobo263bo2bo66bo2bo7bo2bo55bo2bo
7bo2bo55bo2bo7bo2bo55bo2bo7bo2bo4bo50bo2bo7bo2bo55bo2bo7bo2bo55bo2bo7b
o2bo55bo2bo7bo2bo55bo2bo7bo2bo55bo2bo7bo2bo55bo2bo7bo2bo66bo2bo$30bo
59bo13bo55bo13bo65bo13bo59bo265b2o68b2o9b2o57b2o9b2o57b2o9b2o57b2o9b2o
5b3o49b2o9b2o57b2o9b2o57b2o9b2o53bo3b2o9b2o53bo3b2o9b2o3bo49bo3b2o9b2o
3bo49bo3b2o9b2o3bo64b2o3bo6bo$39b3o47bobo67bobo77bobo614b2o68b2o17b2o
49b2o17b2o49b2o17b2o48bobo17b2o48bobo17bobo47bobo17bobo47bobo17bobo67b
obo4bo$39bo50b2o68b2o78b2o613bo2bo66bo2bo15bo2bo47bo2bo15bo2bo38bobo6b
o2bo15bo2bo48bobo15bo2bo48bobo15bobo49bobo15bobo49bobo15bobo67bobo5b3o
$40bo472b3o339bo2bo66bo2bo15bo2bo47bo2bo15bo2bo39b2o6bo2bo15bo2bo49bob
o14bo2bo49bobo13bobo51bobo13bobo51bobo13bobo67bobo$513bo342b2o68b2o17b
2o49b2o17b2o40bo8b2o17b2o51bo16b2o51bo15bo53bo15bo53bo15bo69bo$24b2o
488bo72b3o199b2o$17b2o4bobo563bo188b2o9bobo$16bobo6bo297b2o263bo190b2o
8bo$18bo303b2o454bo558b3o$231bo92bo555bo285bo172bo7b2o$50b2o179b2o646b
2o284b2o171bo8bobo91b2o$50bobo177bobo646bobo273b2o8bobo179bo93bobo$50b
o1007b2o96b2o196b2o71b2o12bo$1059b2o94bo197b2o73b2o$1058bo296bo71bo3$
7b3o$9bo$8bo!
EDIT: Continuous synthesis:

Code: Select all

x = 205, y = 205, rule = B3/S23
182bo$180b2o$6bo174b2o$4bobo$5b2o5$31bo$32b2o$31b2o$39bo$37bobo152bo$
38b2o151bo$191b3o7$202bobo$202b2o$177bo25bo$150bo24b2o$148b2o26b2o$24b
obo122b2o$25b2o173bo$25bo173bo$199b3o$9bobo$10b2o$10bo25bobo$37b2o$37b
o$171bo$58bo110b2o$56bobo111b2o$57b2o6$59bo$60bo$58b3o5$136bo$135bo$
25bobo107b3o$26b2o$26bo139bo$165bo$45bo119b3o$43bobo$44b2o$139bobo$
139b2o$61bo78bo$62b2o$61b2o2$148bo$148bobo$148b2o5$122bo$122bobo$122b
2o4$75bo$76bo$74b3o2$113bo$106bo5bo$105bo6b3o$105b3o3$86bo$84bobo$85b
2o$100bo$100bobo$100b2o2$87bo$85bobo$86b2o$109b3o$109bo$94bo15bo$95bo$
93b3o$117b2o$117bobo$117bo2$103b2o$102bobo$104bo$118b2o$118bobo$118bo
3$97b3o$90b3o6bo$92bo5bo$91bo2$128b3o$128bo$129bo4$81b2o$80bobo$82bo5$
55b2o$54bobo$56bo2$142b2o$141b2o$64bo78bo$64b2o$63bobo$159b2o$159bobo$
37b3o119bo$39bo$38bo139bo$177b2o$67b3o107bobo$69bo$68bo5$144b3o$144bo$
145bo6$146b2o$33b2o111bobo$34b2o110bo$33bo$167bo$166b2o$166bobo25bo$
193b2o$193bobo$3b3o$5bo173bo$4bo173b2o$54b2o122bobo$27b2o26b2o$28b2o
24bo$bo25bo$b2o$obo7$11b3o$13bo151b2o$12bo152bobo$165bo$172b2o$171b2o$
173bo5$198b2o$198bobo$22b2o174bo$23b2o$22bo!
Last edited by wwei47 on August 6th, 2021, 10:09 pm, edited 1 time in total.
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
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Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

mniemiec
Posts: 1590
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Post by mniemiec » August 6th, 2021, 10:00 pm

mniemiec wrote:
August 6th, 2021, 6:56 pm
The four is complete, but relies on a still-life that neither I nor catagolue know how to make:
wwei47 wrote:
August 6th, 2021, 8:33 pm
Stator variant from an xs20: ...
Some digging around on catagolue results in this (block can be turned into an eater directly with 3 gliders, without needing to go via a boat). This still leaves converting the wing into a tub, because this is all specifically about making 22-bit P3s. (I'm sure there's a way to do it; I just don't happen to have any sequence of converters saved that can get there, and I can't recall where I saw converters like that being used.)

Code: Select all

x = 235, y = 35, rule = B3/S23
48bo$47bo14bo$47b3o10boo$61boo$143bo$36bobo36bobo63boo$37boo36boo65boo
$37bo34bo3bo$73bo$37b3o31b3o$39bo36booboo45booboo35bobo7booboobboo41b
ooboobboo$38bo33bo3boobo3boo42bobo3boo32boo8bobo3boo40bobobo3boo$72boo
5bo4bo39b3obbo4bo32bo6b3obbo44bobbobo$71bobo5bob3o40bo4bob3o40bo4bob4o
40boobbob4o$80boo48boo48boobbo44bobobbo$230bo$44boo123boo$43boo98bobo
24boo$45bo93boobboo24bo$139bobobbo20bo$139bo25boo8boo5b3o$164bobo9boo
4bo$175bo7bo$131boo$132boo47boo$131bo50boo$170b3o8bo$172bo$171bo4$3o$
bbo$bo!

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » August 6th, 2021, 10:09 pm

mniemiec wrote:
August 6th, 2021, 10:00 pm
Some digging around on catagolue results in this (block can be turned into an eater directly with 3 gliders, without needing to go via a boat).
Turning the block into a boat turns out to be better.

Code: Select all

x = 16, y = 21, rule = B3/S23
obo$b2o$bo5b2ob2o2b2o$6bobobo3b2o$7bo2bo$10bob4o$11b2o2bo6$6b2o5b3o$7b
2o4bo$6bo7bo2$12b2o$13b2o$b3o8bo$3bo$2bo!


Edit: I saved another glider by using a three-glider fast beehive→boat component.

Code: Select all

x = 242, y = 51, rule = B3/S23
3bo$4bo$2b3o13$49bo$48bo14bo$48b3o10b2o$62b2o$144bo$37bobo102b2o$38b2o
103b2o$38bo$226bobo$38b3o186b2o$40bo86b2ob2o95bo5b2ob2o2b2o$39bo86bob
obo3b2o96bobobo3b2o$127bo2bo4bo97bo2bo$130bob3o101bob4o$131b2o104b2o2b
o2$45b2o$44b2o98bobo$46bo93b2o2b2o$140bobo2bo$140bo91b2o5b3o$233b2o4b
o$232bo7bo$132b2o$133b2o103b2o$3b2o127bo106b2o$2bobo222b3o8bo$4bo224b
o$228bo5$3o$2bo$bo!
I am tentatively considering myself back.

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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 6th, 2021, 11:02 pm

mniemiec wrote:
August 6th, 2021, 10:00 pm
This still leaves converting the wing into a tub, because this is all specifically about making 22-bit P3s. (I'm sure there's a way to do it; I just don't happen to have any sequence of converters saved that can get there, and I can't recall where I saw converters like that being used.)
Sure.

Code: Select all

x = 32, y = 40, rule = B3/S23
31bo$29b2o$30b2o$obo$b2o$bo8bo$11b2o$10b2o8$22b2ob2o2b2o$8b3o12bobo3b
2o$10bo10bobobo$9bo11b2o2bob4o$25bobo2bo$26bo$20b2o$19bobo$18bobo$5b2o
11bo$6b2o9b2o$5bo3$17b2o$17b2o$7b2o$6bobo$8bo$27b3o$27bo$28bo$2b2o$bob
o$3bo!
EDIT: And for the task of turning the wing into a bookend:

Code: Select all

x = 18, y = 15, rule = B3/S23
bo$2bo$3o$9b2ob2o2b2o$8bobobo3b2o$7bo2bobo$8b2o2bob4o$12bobo2bo$13bo4$
4b2o$3bobo$5bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Synthesising Oscillators

Post by Kazyan » August 6th, 2021, 11:08 pm

Or, apply the eater-to-block-and-table component to a later stage with the tub already installed:

Code: Select all

x = 21, y = 22, rule = B3/S23
18bo$16b2o$17b2o4$4b2o$bo2bo3b2o$obobo4bo$bo2bob3o$4bobo$5bo2$18bobo$
14b2o2b2o$14bobo2bo$14bo3$6b2o$7b2o$6bo!
..and there's a synthesis for the 18-bit still life in Catagolue.
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mniemiec
Posts: 1590
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Post by mniemiec » August 6th, 2021, 11:32 pm

In retrospect, I feel foolish; I should have realized that before the eater-to-block-on-table step, the base still-life was 18 bits, which was guaranteed to have a synthesis (Kayzan also realized this at the same time I was constructing this). Combining the synthesis of that, plus optimizing two steps (boat-to-eater + eater-to-block-on-table -> boat-to-block-on-table), yields this 18-glider synthesis:

Code: Select all

x = 227, y = 24, rule = B3/S23
bbo$obo$boo$197bo$197bobo$197boo$46bo$3bo42bobo$3bobo40boo$3boobb3o$7b
o37bo26bobo$8bo3b3o22boo7boobboo15boo3boo23boobboo24boobboo24boobboo
24boobboo24boo$12bo20boobbo7boobboo12boobbo5bo3bo15boobbo3boo17bobboo
bbo3boo21bobbo3boo21bobbo3boo6bobo12bobbo$13bo19bobobobbo10bo11bobobo
8bo16bobobo20bobobbobobo25bobobo25bobobo11boo12bobobobobbo$35bobobobo
23boboboo5b3o16bobob4o16boo3bobbob4o21bobbob4o21bobbob4o7bo13bobbobobb
o$35boboboo24bobobobo23bobobobbo13boo9bobobbo24bobobbo24bobobbo24bobo
bboobo$36bo29bo3bobb3o20bo18bobo10bo29bo29bo12boo15bo5bobo$73bo43bo53b
obo26bobbo21bo$15boo57bo20boo74boo27bobbo$15bobo77bobo74bo28boo$15bo
79bo$172boo$172bobo$172bo!

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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 7th, 2021, 12:27 am

Just for fun, here's a synthesis using the other method:

Code: Select all

x = 250, y = 177, rule = B3/S23
3bo$4bo$2b3o13$55bo$54bo14bo$54b3o10b2o$68b2o$120bo$37bobo78b2o$38b2o
79b2o$38bo$160bobo$161b2o$161bo60bo$223bo$221b3o$100b2ob2o65b2ob2o2b2o
51b2ob2o2b2o$99bobobo3b2o60bobobo3b2o50bobobo3b2o$38b3o59bo2bo4bo61bo
2bo54bo2bobo$40bo62bob3o65bob4o50b2o2bob4o$39bo64b2o14bobo51b2o2bo54bo
bo2bo$120b2o112bo$121bo3$51b2o172b2o$50b2o172bobo$52bo63b2o108bo$116bo
bo$116bo49b2o11b3o$167b2o10bo$166bo13bo$102b2o$103b2o67b2o$3b2o97bo70b
2o$2bobo156b3o8bo$4bo158bo$162bo5$3o$2bo$bo27$249bo$247b2o$248b2o$218b
obo$219b2o$219bo8bo$229b2o$228b2o8$30b2ob2o2b2o61b2ob2o2b2o61b2ob2o2b
2o61b2ob2o2b2o$31bobo3b2o62bobo3b2o62bobo3b2o47b3o12bobo3b2o$29bobobo
65bobobo65bobobo54bo10bobobo$23bobo3b2o2bob4o48bo11b2o2bob4o60b2o2bob
4o48bo11b2o2bob4o$24b2o7bobo2bo46bobo15bobo2bo64bobo2bo64bobo2bo$24bo
9bo51b2o16bo69bo69bo$98b2o68b2o68b2o$97bobo67bobo67bobo$98bo67bobo67bo
bo$166bo56b2o11bo$165b2o57b2o9b2o$223bo2$25b3o71bo$27bo10bo59b2o135b2o
$26bo10b2o59bobo134b2o$37bobo48b2o135b2o$87bobo134bobo$89bo78b3o55bo$
168bo76b3o$159b2o8bo75bo$158bobo85bo$160bo59b2o$219bobo$221bo35$46bo$
46bobo$46b2o7$48bobo$48b2o$33b2o2b2o10bo$30bo2bo3b2o$29bobobo$30bo2bob
4o$33bobo2bo$34bo12b2o$46bo2bo$46bo2bo$47b2o!
EDIT: Circle of fire further reduced by MathAndCode:

Code: Select all

x = 636, y = 1098, rule = B3/S23
259bobo$156bo5bo96b2o$157b2obobo97bo$156b2o3b2o4$191bobo$194bo$194bo$
191bo2bo54bo$192b3o53bobo$207bobo39bobo$207b2o41b2o$208bo2$152b4o52bo$
151bo3bo19bo31bo$155bo17bobo31b3o$151bo2bo19b2o248bo$425b2o$182bo241b
2o$182bobo$182b2o$98bo$96bobo$97b2o67bo$167bo$165b3o82b2o68b2o68b2o68b
2o$39bo152bo33b2o14b2o2bo4bo44b2o14b2o2bo4bo44b2o14b2o2bo4bo44b2o14b2o
2bo4bo$28bo8b2o152bo33bobo14bo2bobobo45bobo14bo2bobobo45bobo14bo2bobob
o45bobo14bo2bobobo$26bobo9b2o151b3o30bobo17b2obob2o43bobo17b2obob2o43b
obo17b2obob2o43bobo17b2obob2o$27b2o148bo47bo21bo3bo43bo21bo3bo43bo21bo
3bo43bo21bo3bo$100b2o74bobo65b3ob3o63b3ob3o63b3ob3o63b3ob3o$99bo2bo74b
o65bo3bo21bo43bo3bo21bo43bo3bo65bo3bo$99bo2bo58b3o80b2obob2o17bobo43b
2obob2o17bobo43b2obob2o63b2obob2o$100b2o61bo81bobobo2bo14bobo45bobobo
2bo14bobo45bobobo2bo62bobobo2bo$162bo80bo4bo2b2o14b2o44bo4bo2b2o14b2o
44bo4bo2b2o60bo4bo2b2o$187b3o53b2o68b2o68b2o68b2o$187bo$188bo3$171b2o$
170bobo$172bo176b2o$348b2o$179b2o19bo2bo146bo$145b3o31bobo17bo$147bo
31bo19bo3bo$146bo52b4o2$146bo$146b2o95b2o68b2o68b2o$145bobo95bobo67bob
o67bobo$160b3o81bobo67bobo67bobo$160bo2bo81bo69bo69bo$160bo$160bo$161b
obo4$192b2o3b2o$192bobob2o176bo$192bo5bo175b2o$373bobo16$587bo$588bo$
586b3o19bo$607bo$607b3o$591bo$589bobo$590b2o2$613bobo$613b2o$614bo$
633bo$633bobo$633b2o2$40b2o68b2o68b2o68b2o68b2o68b2o68b2o68b2o68b2o$
32b2o2bo4bo60b2o2bo4bo60b2o2bo4bo60b2o2bo4bo60b2o2bo4bo60b2o2bo4bo60b
2o2bo4bo60b2o2bo4bo60b2o2bo4bo$32bo2bobobo9bo52bo2bobobo62bo2bobobo62b
o2bobobo62bo2bobobo62bo2bobobo62bo2bobobo62bo2bobobo62bo2bobobo$34b2ob
ob2o7bo55b2obob2o63b2obob2o63b2obob2o63b2obob2o63b2obob2o63b2obob2o63b
2obob2o63b2obob2o$37bo3bo6b3o56bo3bo11bo53bo3bo65bo3bo65bo3bo65bo3bo
65bo3bo65bo3bo65bo3bo$34b3ob3o63b3ob3o11bo51b3ob3o63b3ob3o14bo48b3ob3o
63b3ob3o63b3ob3o63b3ob3o63b3ob3o$33bo3bo65bo3bo14b3o48bo3bo65bo3bo16bo
48bo3bo65bo3bo65bo3bo65bo3bo65bo3bo$34b2obob2o63b2obob2o4bo58b2obob2o
63b2obob2o13b3o47b2obob2o63b2obob2o63b2obob2o63b2obob2o63b2obob2o$35bo
bobo2bo62bobobo2bobobo58bobobo2bob2o59bobobo2b2o61bobobo2b2o61bobobo2b
2o61bobobo2b2o61bobobo2b2o61bobobo2b2o8bo9bo$33bo4bo2b2o60bo4bo2b2ob2o
57bo4bo2b2ob2o57bo4bo2b2obo58bo4bo2b2obo58bo4bo2b2obo58bo4bo2b2obo58bo
4bo2b2obo58bo4bo2b2obo6b2o5bo3bobo$33b2o68b2o68b2o68b2o10bo57b2o10bo
57b2o10bo57b2o10bo57b2o10bo57b2o10bo5bobo3b2o3b2o$256bo69bo69bo69bo69b
o69bo10bobo$255b2o70bobo67bobo67bobo67bobo67bobo$328b2o63b2o3b2o63b2o
3b2o63b2o3b2o63b2o3b2o$184bo11b3o194b2o68b2o66bo2bo66bo2bo$184b2o10bo
334b2o68b2o$183bobo11bo$319b3o149bobo$321bo149b2o145b2o$258b2o3b2o3b3o
49bo8b2o141bo144b2o$258bobob2o4bo60bobo200b2o85bo$258bo5bo4bo59bo133b
2o67b2o$464b2o136b2o$172b2o221b3o54b2o9bo127b3o9b2o$173b2o222bo55b2o
138bo3bo4bo$172bo223bo8b2o45bo139bo4b2o$405bobo188bobo$405bo$469b2o52b
2o87b3o$469bobo50bobo87bo$469bo54bo88bo20$445bo84bo50bo$443bobo84bobo
49bo$444b2o84b2o48b3o$369bo$367bobo226bobo$182bo185b2o8bo83bo133b2o4bo
$180b2o195bo82b2o130bo4bo3bo$181b2o194b3o71bo9b2o127b2o9b3o$449b2o140b
2o$225bo4bo5bo68bo144b2o69b2o$226bo4b2obobo66bobo215b2o52bo$224b3o3b2o
3b2o67b2o8bo127bo133b2o$313bo128b2o131b2o$313b3o125bobo$157bo11bobo$
158bo10b2o351b2o68b2o$156b3o11bo209b2o68b2o68bo2bo66bo2bo$305b2o68b2o
3b2o63b2o3b2o63b2o3b2o63b2o3b2o$238b2o65bobo67bobo67bobo67bobo67bobo$
238bo69bo69bo69bo69bo56bobo10bo$239bo69bo69bo69bo69bo51b2o3b2o3bobo5bo
$32b2o2bo62b2ob2o2bo62b2ob2o2bo63bob2o2bo63bob2o2bo63bob2o2bo63bob2o2b
o63bob2o2bo43bobo3bo5b2o6bob2o2bo$32bo2bobobobo56bobobo2bobobobo57b2ob
o2bobobobo59b2o2bobobobo59b2o2bobobobo59b2o2bobobobo59b2o2bobobobo59b
2o2bobobobo40bo9bo8b2o2bobobobo$34b2obob2obo56bo4b2obob2obo61b2obob2ob
o45b3o13b2obob2obo61b2obob2obo61b2obob2obo61b2obob2obo61b2obob2obo61b
2obob2obo$37bo4bo47b3o14bo4bo64bo4bo47bo16bo4bo64bo4bo64bo4bo64bo4bo
64bo4bo64bo4bo$34b3ob4o50bo11b3ob4o62b3ob4o47bo14b3ob4o62b3ob4o62b3ob
4o62b3ob4o62b3ob4o62b3ob4o$24b3o6bo3bo53bo11bo3bo65bo3bo65bo3bo65bo3bo
65bo3bo65bo3bo65bo3bo65bo3bo$26bo7b2obob2obo61b2obob2obo61b2obob2obo
61b2obob2obo61b2obob2obo61b2obob2obo61b2obob2obo61b2obob2obo61b2obob2o
bo$25bo9bobobob2o62bobobob2o62bobobob2o62bobobob2o62bobobob2o62bobobob
2o62bobobob2o62bobobob2o62bobobob2o$33bo4bo64bo4bo64bo4bo64bo4bo64bo4b
o64bo4bo64bo4bo64bo4bo64bo4bo$33b2o68b2o68b2o68b2o68b2o68b2o68b2o68b2o
68b2o2$560b2o$559bobo$561bo$580bo$580b2o$579bobo2$603b2o$603bobo$603bo
$585b3o$587bo$586bo19b3o$606bo$607bo28$37bo$35bobo$36b2o2$55bo$53b2o$
40bo13b2o$39bo$39b3o3$62bo$61bo$28b2o31b3o$27bobo$29bo2$36bo$32b2obobo
bobo$32bob2obob2obo$37bo4bo$33b4ob4o$32bo4bo$32bob2obob2obo$33bobobobo
b2o$38bo8$57b2o$57bobo$57bo5b2o$63bobo$63bo$55b2o$55bobo$55bo32$19bo$
17bobo$18b2o$11bo$9bobo$10b2o5bo$15bobo$16b2o8$36bo$32b2obobobob2o$32b
ob2obob2o2bo$37bo4b2o$33b4ob4o$32bo4bo4b2o$32bob2obob2o2bo$33bobobobob
2o$38bo2$45bo$45bobo$11b3o31b2o$13bo$12bo3$33b3o$35bo$19b2o13bo$20b2o$
19bo2$37b2o$37bobo$37bo45$36bo69bo69bo69bo$32b2obobobob2o59b2obobobob
2o59b2obobobob2o59b2obobobob2o$31bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b
2obob2o2bo57bo2b2obob2o2bo$31b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4b
o4b2o$33b4ob4o61b4ob4o61b4ob4o61b4ob4o$31b2o4bo4b2o57b2o4bo4b2o57b2o4b
o4b2o57b2o4bo4b2o9bo$31bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo
57bo2b2obob2o2bo7b2o$32b2obobobob2o59b2obobobob2o59b2obobobob2o5bo53b
2obobobob2o9b2o$38bo68bo69bo9bo59bo$107b2o68b2o8b3o57b2o$251b2o$180b3o
68bobo$252b2o2$259b2o$258b2o$260bo$117b2o$117bobo136b2o$49b2o66bo137b
2o$49bobo55b3o147bo$49bo59bo$108bo$33b2o$34b2o$33bo2$46b2o$45b2o$47bo
20$27bo$28b2o$27b2o2$41bo$39b2o$40b2o$106bo$25bo79bo$23bobo79b3o129bo$
24b2o71bo140b2o$95bobo139b2o$96b2o$234bo$235b2o$234b2o2$241b2o$172b3o
66bobo$242b2o$106b2o57b3o8b2o68b2o$36bo70bo59bo9bo69bo$32b2obobobob2o
59b2obobobob2o53bo5b2obobobob2o48b2o9b2obobobob2o$31bo2b2obob2o2bo57bo
2b2obob2o2bo57bo2b2obob2o2bo48b2o7bo2b2obob2o2bo$31b2o4bo4b2o57b2o4bo
4b2o57b2o4bo4b2o47bo9b2o4bo4b2o$33b4ob4o61b4ob4o61b4ob4o61b4ob4o$31b2o
4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o$31bo2b2obob2o2bo57bo2b2obo
b2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo$32b2obobobob2o59b2obobobob2o59b
2obobobob2o59b2obobobob2o$37bobo67bobo67bobo67bobo$37bobo67bobo67bobo
67bobo$38bo69bo69bo69bo58$36bo69bo69bo69bo69bo69bo69bo69bo69bo$35bobo
67bobo67bobo67bobo67bobo67bobo67bobo67bobo67bobo$35bobo67bobo67bobo67b
obo67bobo67bobo67bobo67bobo49bo17bobo$32b2obobobob2o59b2obobobob2o59b
2obobobob2o59b2obobobob2o49bo9b2obobobob2o59b2obobobob2o59b2obobobob2o
59b2obobobob2o42bobo14b2obobobob2o$31bo2b2obob2o2bo57bo2b2obob2o2bo57b
o2b2obob2o2bo48bo8bo2b2obob2o2bo49bo7bo2b2obob2o2bo57bo2b2obob2o2bo57b
o2b2obob2o2bo57bo2b2obob2o2bo42b2o13bo2b2obob2o2bo$31b2o4bo4b2o57b2o4b
o4b2o57b2o4bo4b2o49b2o6b2o4bo4b2o47b3o7b2o4bo4b2o57b2o4bo4b2o57b2o4bo
4b2o57b2o4bo4b2o57b2o4bo4b2o$33b4ob4o61b4ob4o61b4ob4o50b2o9b4ob4o61b4o
b4o61b4ob4o61b4ob4o61b4ob4o61b4ob4o$31b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b
2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo
4b2o$31bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo
57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b
2obob2o2bo$32b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob2o47b
o11b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob
2o$37bobo67bobo67bobo67bobo48bobo16bobo67bobo67bobo5bo61bobo67bobo$37b
obo67bobo67bobo67bobo49b2o8b2o6bobo67bobo67bobo4bo62bobo67bobo$38bo62b
2o5bo62b2o5bo62b2o5bo60bobo6bo61b2o6bo61b2o6bo5b3o53b2o6bo58b2ob2o6bo
12bo$91bo9b2o68bo2bo66bo2bo67bobo65bobobo65bobobo65bobobo61bobobobobo
15bo$92bo80b2o68b2o68b2o68b2o68b2o68b2o62bo5b2o15b3o$90b3o139b2o294bo
69bo$233b2o278b2o12bobo67bobo$26b2o204bo219b2o60b2o6b2o3bobo62b2o3bobo
$25bobo199b2o73b2o148b2o59bo8b2o4bo63b2o4bo$27bo144b2o52bobo74b2o$38b
2o132b2o54bo73bo158b3o$38bobo420bo$38bo55b3o290b2o73bo$96bo290bobo$95b
o17b3o271bo$113bo261b2o237b3o$114bo50b2o207bobo223b2o12bo$166b2o208bo
205b2o3b2o10b2o5b3o6bo$165bo415bobo4b2o11bo4bo$93b2o488bo3bo7b3o9bo$
94b2o499bo$93bo502bo20$121bo476bo$119b2o478bo$120b2o465bo9b3o7bo3bo$
189bo398bo4bo11b2o4bobo$187b2o209bo180bo6b3o5b2o10b2o3b2o$100bo87b2o
208bobo179bo12b2o$101bo296b2o178b3o$99b3o17bo267bo$118bo266bobo$36bo
81b3o265b2o64bo$34bobo416bo$35b2o144b2o83bo65bo118b3o$47bo133b2o83bobo
61b2o$47bobo216b2o63b2o128b2o63bo4b2o8bo54bo4b2o$47b2o213bo198b2o62bob
o3b2o6b2o54bobo3b2o$260b2o263bobo12b2o53bobo$122b3o136b2o263bo69bo$
122bo57b2o68b2o68b2o68b2o68b2o68b2o50b3o15b2o5bo$112b2o9bo56bo2bo66bo
2bo66bobo67bobobo65bobobo65bobobo49bo15bobobobobo$36bo69bo5b2o62bo5b2o
62bo5b2o62bo6bobo60bo6b2o53b3o5bo6b2o61bo6b2o48bo12bo6b2ob2o$35bobo67b
obo67bobo67bobo67bobo6b2o8b2o49bobo62bo4bobo67bobo67bobo$35bobo67bobo
67bobo67bobo67bobo16bobo48bobo61bo5bobo67bobo67bobo$32b2obobobob2o59b
2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob2o11bo47b2obobobob
2o59b2obobobob2o59b2obobobob2o59b2obobobob2o$31bo2b2obob2o2bo57bo2b2ob
ob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2b
o57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo$31b2o4bo4b2o57b2o4bo
4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o
4bo4b2o57b2o4bo4b2o$33b4ob4o61b4ob4o61b4ob4o61b4ob4o9b2o50b4ob4o61b4ob
4o61b4ob4o61b4ob4o61b4ob4o$31b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4b
o4b2o6b2o49b2o4bo4b2o7b3o47b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo
4b2o$31bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo
8bo48bo2b2obob2o2bo7bo49bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo
57bo2b2obob2o2bo13b2o$32b2obobobob2o59b2obobobob2o59b2obobobob2o59b2ob
obobob2o59b2obobobob2o9bo49b2obobobob2o59b2obobobob2o59b2obobobob2o59b
2obobobob2o14bobo$37bobo67bobo67bobo67bobo67bobo67bobo67bobo67bobo67bo
bo17bo$30b5o2bobo60b5o2bobo60b5o2bobo60b5o2bobo60b5o2bobo60b5o2bobo60b
5o2bobo60b5o2bobo60b5o2bobo$29bo4bo3bo60bo4bo3bo60bo4bo3bo60bo4bo3bo
60bo4bo3bo60bo4bo3bo60bo4bo3bo60bo4bo3bo60bo4bo3bo$29bobo67bobo67bobo
67bobo67bobo67bobo67bobo67bobo67bobo$30b2o68b2o68b2o68b2o68b2o68b2o68b
2o68b2o68b2o45$101bobo$101b2o$102bo2$86bo$84bobo$85b2o3$43b2o39bobo26b
2o68b2o68b2o$43bobo39b2o26bobo67bobo67bobo$36bo3bo4bo39bo20bo3bo4bo60b
o3bo4bo60bo3bo4bo$35bobo2b5o60bobo2b5o60bobo2b5o60bobo2b5o$35bobo67bob
o67bobo67bobo$32b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob2o
$31bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo$31b
2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o$33b4ob4o61b4ob4o61b4ob4o
61b4ob4o$31b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o$31bo2b2obob
2o2bo40bo16bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo$32b2obobobob
2o42b2o15b2obobobob2o59b2obobobob2o59b2obobobob2o$37bobo44b2o21bobo64b
o2bobo64bo2bobo$30b5o2bobo60b5o2bobo61bobo3bobo61bobo3bobo$29bo4bo3bo
60bo4bo3bo62b2o5bo62b2o5bo$23bo5bobo67bobo65bo69bo$21bobo6b2o68b2o64bo
bo67bobo$22b2o142b2o68b2o2$100b2o$100bobo$102bo$102b2o141bo$244b2o$25b
2o217bobo$26b2o59bo$25bo4b2o55b2o$29bobo9bo44bobo$31bo8b2o126bo$40bobo
73b3o49bo$116bo51bo$84b2o31bo$83bobo3bo$85bo3b2o24bo45bo$88bobo23b2o
45b2o$114bobo43bobo$106bo$105b2o$84b2o19bobo3b3o$85b2o24bo$84bo27bo76$
102bo27bo$103bo24b2o$101b3o3bobo19b2o$108b2o$108bo$98bobo91bobo$99b2o
23bobo65b2o$99bo24b2o3bo63bo$125bo3bobo$97bo31b2o$98bo87bo$32bobo61b3o
87bo$33b2o8bo142bo$33bo9bobo80bobo$43b2o4bo76b2o$47b2o78bo$48b2o198bob
o$249b2o$111b2o136bo$112bo$112bobo$113b2o2$51b2o134b2o68b2o$43b2o6bobo
59b2o71bobo67bobo$43bobo5bo61bobo71bo69bo$36bo3bo4bo60bo3bo4bo60bo5b2o
62bo5b2o$35bobo2b5o60bobo2b5o60bobo3bobo61bobo3bobo$35bobo67bobo21b2o
44bobo2bo64bobo2bo$32b2obobobob2o59b2obobobob2o15b2o42b2obobobob2o59b
2obobobob2o$31bo2b2obob2o2bo57bo2b2obob2o2bo16bo40bo2b2obob2o2bo57bo2b
2obob2o2bo$31b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o$33b4ob4o
61b4ob4o61b4ob4o61b4ob4o$31b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo
4b2o$31bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo$
32b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob2o$34bo2bobo64bo
2bobo64bo2bobo64bo2bobo$31bobo3bobo61bobo3bobo61bobo3bobo61bobo3bobo$
31b2o5bo62b2o5bo20bo41b2o5bo62b2o5bo$128b2o$128bobo3$128b2o$128bobo$
128bo2$112bo$112b2o$111bobo39$2bo$obo$b2o2$435bobo$436b2o$436bo2$36bo
5b2o62bo5b2o62bo5b2o62bo5b2o62bo5b2o62bo5b2o62bo5b2o62bo5b2o$35bobo3bo
bo61bobo3bobo61bobo3bobo61bobo3bobo61bobo3bobo61bobo3bobo61bobo3bobo
61bobo3bobo$35bobo2bo64bobo2bo64bobo2bo64bobo2bo64bobo2bo64bobo2bo64bo
bo2bo64bobo2bo$32b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob
2o59b2obobobob2o59b2obobobob2o59b2obobobob2o9bo49b2obobobob2o$31bo2b2o
bob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o
2bo57bo2b2obob2o2bo57bo2b2obob2o2bo7bo49bo2b2obob2o2bo$31b2o4bo4b2o57b
2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o
7b3o47b2o4bo4b2o$33b4ob4o61b4ob4o61b4ob4o61b4ob4o61b4ob4o61b4ob4o61b4o
b4o61b4ob4o$31b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b
2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o$31bo2b2obob2o2bo57bo2b2obob2o2b
o57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo
2b2obob2o2bo57bo2b2obob2o2bo$32b2obobobob2o59b2obobobob2o59b2obobobob
2o59b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob
2o$34bo2bobo64bo2bobo64bo2bobo64bo2bobo64bo2bobo64bo2bobo64bo2bobo65bo
bobo$31bobo3bobo58b2obobo3bobo58b2obobo3bobo58b2obobo3bobo58b2obobo3bo
bo58b2obobo3bobo58b2obobo3bobo65bobobo$31b2o5bo59b2ob2o5bo59b2ob2o5bo
59b2ob2o5bo59b2ob2o5bo59b2ob2o5bo59b2ob2o5bo67bobo$527bo5bo$29bo218bo
69bo69bo69bo10bo63bo$17b3o8b2o218b3o67b3o63b2o2b3o63b2o2b3o7bo64bo$19b
o8bobo220bo69bo62bo6bo62bo6bo6b3o3bo$18bo231b2o68b2o60bobo5b2o43b3o11b
ob2obo5b2o12bobo52b3o3b3o$382b2o53bo11b2ob2o20b2o$241b2o193bo96bo6b2o$
177b2o62b2o74b2o214bo6b2o$177bobo136b2o215bo$178bo128b2o9bo$306bobo$
308bo128b2o$438b2o27bo58b3o$101b2o334bo9bobo16b2o60bo$100bobo79b3o263b
2o16bobo58bo$102bo79bo265bo$105b2o76bo193bo$106b2o123b2o145b2o$105bo
11b2o111bobo144b2o69b2o$117bobo112bo214bobo$117bo331bo2$388bo$387b2o$
387bobo5$163bo$163b2o$162bobo$191b2o180bo23b2o$190b2o181b2o21b2o$192bo
179bobo23bo58$162bo213bo23bobo$163b2o212b2o21b2o$162b2o212b2o23bo$190b
obo$190b2o$191bo5$385bobo$386b2o$386bo2$97bo367bo$95bobo164bo202bobo$
96b2o11bo152bobo131b2o67b2o$107b2o153b2o131b2o$108b2o61bo225bo$112bo
59bo293bo$112bobo55b3o273bobo16b2o60bo$112b2o333b2o16bobo9bo48bo$447bo
27b2o49b3o$326bo149b2o$326bobo$176bo139bo9b2o$175bobo139b2o202bo$176b
2o74b2o62b2o195b2o6bo$252b2o224bo34b2o6bo$391b2o46b2o20b2ob2o11bo$56bo
186b2o68b2o68b2o5bobo45bobo12b2o5bob2obo11b3o37b3o3b3o$44bobo8bo187bo
69bo69bo6bo49bo3b3o6bo6bo$45b2o8b3o186b3o67b3o67b3o2b2o55bo7b3o2b2o60b
o$45bo200bo69bo69bo58bo10bo64bo$521bo5bo$36bo5b2o62bo5b2ob2o59bo5b2ob
2o59bo5b2ob2o59bo5b2ob2o59bo5b2ob2o59bo5b2ob2o59bobo$35bobo3bobo61bobo
3bobob2o58bobo3bobob2o58bobo3bobob2o58bobo3bobob2o58bobo3bobob2o58bobo
3bobob2o58bobobo$35bobo2bo64bobo2bo64bobo2bo64bobo2bo64bobo2bo64bobo2b
o64bobo2bo64bobobo$32b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobo
bob2o59b2obobobob2o59b2obobobob2o59b2obobobob2o59b2obobobob2o$31bo2b2o
bob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o
2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo$31b2o4bo4b2o57b2o
4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b
2o4bo4b2o$33b4ob4o61b4ob4o61b4ob4o61b4ob4o61b4ob4o61b4ob4o61b4ob4o61b
4ob4o$31b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b2o4bo4b2o57b
2o4bo4b2o47b3o7b2o4bo4b2o57b2o4bo4b2o$31bo2b2obob2o2bo57bo2b2obob2o2bo
57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo57bo2b2obob2o2bo49bo7b
o2b2obob2o2bo57bo2b2obob2o2bo$32b2obobobob2o59b2obobobob2o59b2obobobob
2o59b2obobobob2o59b2obobobob2o59b2obobobob2o49bo9b2obobobob2o59b2obobo
bob2o$35bobobo65bobobo65bobobo65bobobo65bobobo65bobobo65bobobo65bobobo
$35bobobo65bobobo65bobobo65bobobo65bobobo65bobobo65bobobo65bobobo$36bo
bo67bobo67bobo67bobo67bobo67bobo67bobo67bobo$37bo69bo69bo69bo69bo69bo
69bo69bo$478bo$477b2o$477bobo2$72b2o$72bobo$72bo42$31bo$32bo12bo$30b3o
10b2o$44b2o2$24bobo21bobo$25b2o21b2o$25bo11bo11bo$36bobo$35bobobo10bo$
35bobobo9bo$32b2obobobob2o6b3o$31bo2b2obob2o2bo$31b2o4bo4b2o$33b4ob4o$
31b2o4bo4b2o$31bo2b2obob2o2bo$23b3o6b2obobobob2o$25bo9bobobo$24bo10bob
obo$36bobo$25bo11bo11bo$25b2o21b2o$24bobo21bobo2$29b2o$30b2o10b3o$29bo
12bo$43bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

mniemiec
Posts: 1590
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Post by mniemiec » August 7th, 2021, 4:32 am

wwei47 wrote:
August 7th, 2021, 12:27 am
Just for fun, here's a synthesis using the other method: ...
It turns out that you can add the up boat with tail directly with 4 gliders, reducing the cost from 37 to 35. Curiously, of all of the 4-glider syntheses of that, this is the most unwieldly, yet because of that, it has enough clearance that none of the gliders interferes with the other still-life:

Code: Select all

x = 79, y = 53, rule = B3/S23
20booboobboo41booboobboo$21bobo3boo42bobo3boo$19bobobo45bobobo$19boobb
ob4o40boobbob4o$23bobobbo44bobobbo$24bo49bo$68boo$67bobo$66bobo$66bo$
65boo4$bbo$obo$boo$$18bo3bo$16boboboo$17boobboo30$58b3o$58bo$59bo!
EDIT: Tweaking the original synthesis of odd keys, this gives us the short key version for 27 gliders:

Code: Select all

x = 134, y = 25, rule = B3/S23
74bo$73bo$73b3o$68bobo$69boo$69bo$18bo55bo$18bobo53bobo3bo$18boo54boo
3bo$4boobboo24boobboo8boo14boobboo9b3o12boo28boo$bobbo3boo6b3o12bobbo
3boo7bobbo10bobbo3boo21bobbo26bobbo$obobo13bo11bobobo12bobo10bobobo25b
obobobobbo20bobobobobbo$bobbob4o7bo13bobbob4o4boobbo12bobbob4o3boobo
14bobbobobbobbo18bobbobobbobbo$4bobobbo24bobobbo3bobo18bobobbobbobboo
17bobobb3obo20bobobb3obo$5bo29bo9bo19bo6boo21bo6bo5boo15bo6bo$108boo$
79boo30b3o$79bobo29bo$74boo3bo32bo$66b3o5bobo$39bo28bo5bo$39boo26bo$
38bobo29b3o$70bo$71bo!
EDIT 2: Trice tongs siamese loop in 31:

Code: Select all

x = 320, y = 172, rule = B3/S23
27bobo$28boo$28bo19$113bo$113bobo$113boo27$92bobo19bo$92boo20bobo$93bo
20boo9$81b3o$83bobboo$82bobboo$87bo51$141bo$140boo$140bobo30$98bobo$
33bo65boo45bo$33bobo34bo28bo47bo$bbo30boo33bobo74b3o92bobo$obo66boo78b
o90boo36bo$boo28boo116bobo89bo37bo$31boo15bobo98boo126b3o$3bo45boo57bo
$3bo9boo28boo4bo23boo29boboo6boo28boo95boo$3bo8bobbo26bobbo6bo19bobbo
26bobobboo6bo25boobbo25booboo25booboo5bobo17booboo4bobbo27booboo35boob
oo$13boobbo25boobbo3boo16boobboo28boo7b3o27bobo27bobo27bobobbo3boo19bo
bobbobbobbo28bobobbo34bobo$15b3o27b3o3bobo14bobo4b3o34bobb3o24bobb3o
24bobb3o24bobb3o4bo19bobb3o3boo29bobb3o4b3o27bobb3o$13boo28boo25bobboo
3bo34boo3bo24boo3bo24boo3bobbo21boo28boo38boo7bo30boo3bo$14boboo26bob
oo26bobobo35bobobo25bobobo25bobobobbobo20boboo4boo20boboo8bobo25boboo
5bo30bobobo$12boboboo24boboboo24boboboo34boboboo24boboboo24boboboo3boo
19boboboo4bobo17boboboo4boobboo24bobobo37bo$12boo28boo28boo38boo28boo
28boo28boo8bo19boo8bobobbo24boo5bo35boobbo$180boo60bo35boo38boo$180bob
o66boo$180bo56b3o9bobo$239bo9bo26bo$238bo36boo$275bobo$268boo$267bobo$
269bo!

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 7th, 2021, 1:50 pm

wwei47 wrote:
August 6th, 2021, 4:43 pm
I sorted it then removed ones that had syntheses on Catagolue, as well as that duplicate xp3.

Code: Select all

x = 229, y = 355, rule = B3/S23
3b2ob2o2b2o4b2o2bo2bob2o3b2o4b2o4b2ob2o7b2ob2o5b2o5b2o$2bobob2o2bo5bo
3b4obo4bo6bo4bob2obo6bob2obo4bo5bobo$bobo7bo5bo9bo3bo4bo3b2o6bo3b2o6b
o4bo3bobo$bo8b2o4b2o2b2o4b2o2b2o4b2o2bo8bo2bo8bo2b2o2bobo$2o8bo5bo4bo
4bo3bo6bo3bo6b2o3bo6b2o3bobobo$o10bo5bo3bob2obo5bob3o3b2o10b2o11bobo$
bo8b2o4b2o2b2o2b2o5b3obo12b2o10b2o2b2obo$2o8bo5bo5bo7bo6bo2b2o6bo3b2o
6bo6bobo$o10bo5bo2b2o8b2o4b2o2bo8bo2bo8bo2b2o2bobo$bo8b2o4b2o2bo10bo4b
o4bo6b2o3bo6b2o2bo4bobo$2bob2obo4b2obo5bo8bo6bo4bob2obo6bob2obo5bo4bo
bo$3b2ob2o4bob2o4b2o8b2o4b2o5b2ob2o7b2ob2o4b2o5b2o9$2ob2o6b2ob2o6b2ob
2o6b2ob2o6b2ob2o6b2ob2o6b2ob2o6b2ob2o$bob2o7bobo3b2o3bobo3b2o3bobo3b2o
3bobo3b2o3bobo3b2o3bobo3b2o3bobo3b2o$o11bo6bo3bo6bo3bo6bo3bo6bo3bo6bo
3bo6bo3bo6bo$7o6b6o5b6o5b6o5b6o5b6o5b6o5b6o$7bo$2bo3bobo4b4o7b2obo9b4o
7b2o9b2o9b2o9bob2o$2b2o3bo5bo2bo7bob2o9bo2bo5bo2bo8bo2bo8bo2bo7b2obo$
46b2o11b2o11b2o3$2o2b2o5b2o3b2o3b2o3b2o3b2o3b2o4b2o3b2o4b2o3b2o4b2o3b
2o4b2o3b2o4b2o3b2o4b2o3b2o4b2o3b2o$bo3bo5bobobobo3bobobobo3bobo3bo4bo
bo3bo4bobo3bo4bobo3bo4bobo3bo4bobo3bo4bobo3bo5bo2bobo$o4bob2o4bobo7bo
bo6bo10bo10bo10bo10bo10bo10bo9bo3bo$b3obo2bo3bo2bo7bobo7b7o4b7o4b7o4b
7o4b7o4b7o4b7o2bobobo$3bobo6b2obo2bo3b2obo2bo10bo10bo10bo10bo10bo10bo
10bo3b2obo2bo$5bo9bob2o6bob2o4b4o7b2obo9b2o9b2o9b2o9b2o9b2o9bob2o$5bo
bo7bo9bo7bo2bo7bob2o7bo2bo8bobo8bo2bo8bobo8bo2bo7bo$6b2o6b2o8b2o29b2o
10b2o10b2o10b2o10b2o6b2o3$2o4b2o4b2ob2o6b2ob2o6b2ob2o5b2obo6b2o2b2o5b
2o2b2o5b2o2bo6b2o3bo$bo3bobo3bob2obo5bobob2o6b2obobo4b2ob3o4b2o2bobo5b
o2b2o5b2o2b3o4bobobobo$o4bo5bo10bo17bo9bo10bo2bo18bo5bob2o$b3obo6b7o4b
7o4b7o3b7o3b7o3b7o5b7o6bo$3bobo2bo10bo10bo2bo9bo9bo17bo3bo10bo2bo$5bo
b2o5bo3b2o5bo3b2o2b2o3bo4b2o3bo4b2o3bo7bo3bobo2b2o3bo5b2obob2o$5bo8b2o
9b2o10b2o8b2o8b2o7b2o3bo7b2o8bo2bo$4b2o83b2o3$b2o8b2o7b2o7b2o8b2o7b2o
8b2o9b2o8b2o$bobob2o4bobob2o3bobob2o3bobob2o4bobob2o3bobob2o4bobobo6b
obo2b2o3bobo2b2o$3bobobo5bobo6bobo6bobo7bobo6bobo8b2o8bo3bo5bo3bo$3bo
bobo5bobo6bobo6bobo7bo2bo5bo3bo10bo5bobo7bobo$o2bob2o3bo2bob2o2bo2bob
2o2bo2bobobo2bo2bob2o2bo2bo2b2o4b7o2bo2bob2o3bo2bob2o$2obo6b2obobo3b2o
bo2bo2b2obo2b2o2b2obobo3b2obobo5bo9b2obobo4b2obo2bo$3bo9bobo6bobo6bo9b
obo6bobo4bobo3bo7bobo7bobo$3b2o8b2o7b2o7b2o8b2o7b2o6bo3b2o7b2o8b2o3$b
2o9b2o9b2o8b2o8b2o9b2o9b2o9bo2bo7bo3b2o6b2o$bobo3b2o3bobo3bo4bobo7bob
o7bobo8bobo8bobo8b4o6bobo3bo5bo2bo$3bo2bobo5bo2bobo5bo2b2o5bo2bo6bo2b
o7bo3b2o5bo19bo10bobo3b2o$3bobobo6bobo2bo5bobobo5bobobo5bobobo6bobo2b
o5bob2obo3b4o8b7o2b2obo4bo$o2bob2o4bo2bobobo3bo2bobo4bo2bob2o3bo2bobo
2bo2bo2bob2o4bo2bobob2o2bo4bob2o10bo6b4o$2obo7b2obo2bo4b2obob2o3b2obo
6b2obo2bobo2b2obobo5b2obobo5b2o3bobo7b2o$3bo10bo10bo2bo6bob2o6bo3bo6b
obo8bobo9bo2bo8bo7b4o$3b2o9b2o9b2o8b2obo6b2o9b2o9b2o11b2o6b3o8bo2bo$88b
o12$ob2obo2b2obo4b2obo4bob2o2bob2obo5b2ob2o2bo2b2obo8bob2obo2b2obo4b2o
b2o7bo6b2o4bob2o7b2ob2obo$2obob4ob2o4bob2o4b2ob4obob2o4bobob2o2b4ob2o
8b2obob4ob2o4bob2obo5bobo5bo5b2ob3o4bobobob2o$4bo9b2o4b2o9bo7bobo25bo
9b2o6bo4bo2bo5bo2b2o6bo2bobo$5b2o7bo5bo8bo9bo8b2o18b2o7bo8bo2b2o3bo3b
2o3bo5b2o2bo$6bo8bo5bo7b2o7b2o8bo20bo8bo6b2o6b2o3bo3bo11bo$5bo8b2o2b3o
9bo7bo11bob2o14bo8b2o10b2o2bo5bo2b2o3bo7bob2o$5b2o8bobo11bo9bo9b3obo14b
2o15b2o2bo5bo2b2o7b3o6b2obo$15bo2bo10b2o7b2o8bo28b2o6bo4bo3b2o6b2o6bo
9bo$5b2o7b2o3bo10bo7bo9b2o18b2o7bo8bo2b2o3bo3b2o2bo6b2o10bo$6bo7bo5bo
7bo10bo29bo8bo6b2o2bo5bo2bo4bo5bo9bobo$5bo9bo5bo2b2obob4ob2o4bob2obo2b
4ob2o13bo10bob2obo5bo5bobo5bob2obo3b2obobobo$5b2o7b2o4b2o2bob2obo2b2o
bo5b2ob2o2bo2b2obo13b2o10b2ob2o4b2o6bo7b2obo4bob2ob2o9$2ob2o6b2o4b2o2b
2o4b2o2b2o9b2o9b2o9b2o8b2o8b2o$bobo7bo2b2o2bo2bo2b2o2bo2bo2b2o6bo2b2o
6bo2b2o6bo2b2o5bo2b2o5bo2b2o$bo2b3o5b2o8b2o12bo10bo10bo10bo9bo9bo$2b2o
3bo5bobobo5bobobo4bobobo6bobobo6bobobo6bobobo5bobobo5bobobo$3bobobo5b
o3bo5bo3bo4bo3b3o4bo3b2obo3bo3b2o5bo3b2o4bo3b2o4bo3bob2o$3bo10b3o7b3o
6b3o3bo4b3o2b2o4b3o2bo5b3o2bo4b3o2bo4b3o2bo$4b2o2bo3bobo11bobo6bo2bo8b
o9bobobo7b3o7bobo9bo$7b2o3b2o13b2o6bobo8bo11bobo7bo9bobo7b3o$36bo9b2o
11bo8b2o8b2o8bo12$2b2ob2obo2bob2obo2b2obo2bob2o2bob2obo2b2o9b2o11bo6b
ob2obo2b2obo2bo2b2obo4b2obo$bobobob2o2b2obob4ob2o2b2ob4obob2o2bo10bo11b
obo5b2obob4ob2o2b4ob2o4bob2o$obo12bo16bo7bo10bo10bo2bo8bo18b2o4b2o$o15b
2o12bo8b2o9b2o9b2o3bo8b2o7b2o7bo5bo$bo15bo12b2o29bo3b2o9bo7bo9bo5bo$2b
ob2o10bo14bo7b2o9b2o10bo2bo9bo10bob2o3b2o2b3o$3b2obo9b2o12bo8bo10bo10b
2o3bo8b2o8b3obo4bobo$7bo22b2o8bo10bo11b3obo16bo9bo2bo$8bo7b2o13bo7b2o
9b2o9b2o3bo8b2o7b2o7b2o3bo$6bobo8bo11bo32bo2bo10bo16bo5bo$2obobobo8bo
8b2obob4ob2o2b4obob2o2b4obob2o2bo3bobo7bo8b4ob2o3bo5bo$ob2ob2o9b2o7bo
b2obo2b2obo2bo2bob2obo2bo2bob2obo2b2o3b2o7b2o7bo2b2obo2b2o4b2o9$2o3b2o
5b2o8bo2bo7b2obo7b2o$obobo2bo4bo2b2o5b4o8bob3o6b3o$2bob2o2bo4bobobo8b
2o4bo6bo3bo4bo$bo4b2o4b2o4bo3b2obo2bo2bob2ob3o3bob2obobo$bobobo5bo3b2o
bo2bobo3bo3bo4bo5bo2bo3bo$2bo2bo6b2o3bo3bo3b2o5b3o8bo3b2o$3b2o9b3o5b3o
9b2o8b3o$14bo9bo21bo3$ob2obo2b2obo4bo8bob2o7bo6b2o11b2ob2o7bo6b2o4bob
2o11bo2b2obob2o2bo2bob2o$2obob4ob2o3bobo7b2ob3o4bobo5bo12bob2obo5bobo
5bo5b2ob3o9b4ob2obo3b4obo$4bo10bo2bo4b2o6bo3bo2bo5bo9b2o6bo4bo2bo5bo2b
2o6bo16bo10bo$5b2o7b2o3bo4bo5b2o2b2o3bo3b2o9bo8bo2b2o3bo3b2o3bo5b2o8b
2o6b2o2b2o4b2o$6bo7bo3b2o3bo10bo3b2o15bo6b2o6b2o3bo3bo17bo10bo$5bo9bo
2bo4b2o3bo6bo2bo4b2o9b2o10b2o2bo5bo2b2o3bo11bo7b2o4bob4o$5b2o7b2o3bo8b
3o3b2o3bo3bo18b2o2bo5bo2b2o7b3o9b2o7bo3b3obo2bo$16b3obo2b2o6bo4b3obo3b
o9b2o6bo4bo3b2o6b2o6bo16bo3bo6b2o$5b2o7b2o3bo3bo6b2o2b2o3bo3b2o9bo8bo
2b2o3bo3b2o2bo6b2o8b2o6b2o2b2o$6bo8bo2bo5bo5bo4bo2bo16bo6b2o2bo5bo2bo
4bo5bo10bo17b2o$5bo8bo3bobo4bob2obo3bo3bobo2b4obob2o4bob2obo5bo5bobo5b
ob2obo10bob2ob4o2b4obo2bo$5b2o7b2o3b2o5b2obo4b2o3b2o2bo2bob2obo5b2ob2o
4b2o6bo7b2obo10b2obob2o2bo2bo2bob2o9$2o5b2o6b2o6bo7b2o6bo5b2o7b2o3b2o
7b2o7b2o8b2o8b2o25b2o12b2o$o8bo5bo5bo3b4o2bo6b2o5bo7bo2bo2bobobo4bobo
bo4bobobo5bobobo5bobobo6b2o5bo7bo2bo4b3o3bo2bo6b2o$b3o2bo9b3o2bo3bo6b
obo11bobo3bobobo4b3o6b3o6b3o9bo9bo7b2o2bo3b4o2bobobo9bobobo6bo$2b2o2b
o3bo6b2o2bo14b3o2bo8b3o2bo5b2o7b2o7b2o8bobo7bobo6b3o2bo3bo6bo2b3obobo
4bo2b3obobo$b2o3bo3b4o2b2o6bo7b3o3bobobo3b3o58bo5bo20bo$8bo13b2o15bo2b
o9b2o37bo9bo5b2o7bo9b2o5b2o5b2o3b3o$40b2o11bo7b3o7b3o6b3o8bo9bo12b2o10b
o13bo$65bo3bo14bo4bob2o7b2obo$60bo4bo3bo4bo4bo4bo3b2o3bo5bo3b2o$64bo5b
o12bo8bobo3bobo$61b2o9b2o6b2o9bo2bo3bo2bo$61bo11bo6bo11b2o5b2o$61bo11b
o6bo$61bo11bo6bo7$ob2obo2b2obo4bo8bob2o7bo6b2o11b2ob2o7bo6b2o4bob2o11b
o2b2obob2o4bo$2obob4ob2o3bobo7b2ob3o4bobo5bo12bob2obo5bobo5bo5b2ob3o9b
4ob2obo4bobo$4bo10bo2bo4b2o6bo3bo2bo5bo9b2o6bo4bo2bo5bo2b2o6bo16bo4bo
2bo$5b2o7b2o3bo4bo5b2o2b2o3bo3b2o9bo8bo2b2o3bo3b2o3bo5b2o8b2o6b2o2b2o
3bo$6bo7bo3b2o3bo10bo3b2o15bo6b2o6b2o3bo3bo17bo10bo3b2o$5bo9bo2bo4b2o
3bo6bo2bo4b2o9b2o10b2o2bo5bo2b2o3bo11bo7b2o3bo2bo$5b2o7b2o3bo8b3o3b2o
3bo3bo18b2o2bo5bo2b2o7b3o9b2o7bo2b2o3bo$16b3obo2b2o6bo4b3obo3bo9b2o6b
o4bo3b2o6b2o6bo16bo5b3obo$5b2o7b2o3bo3bo6b2o2b2o3bo3b2o9bo8bo2b2o3bo3b
2o2bo6b2o8b2o6b2o2b2o3bo$6bo8bo2bo5bo5bo4bo2bo16bo6b2o2bo5bo2bo4bo5bo
10bo11bo2bo$5bo8bo3bobo4bob2obo3bo3bobo2b4obob2o4bob2obo5bo5bobo5bob2o
bo10bob2ob4o2bo3bobo$5b2o7b2o3b2o5b2obo4b2o3b2o2bo2bob2obo5b2ob2o4b2o
6bo7b2obo10b2obob2o2bo2b2o3b2o9$b2o12b2o6bo$o2bo6bo3bo2bo4bobo$obobo4b
obo2bobobo3bo2bo$bo2b3o8bo2b3o$8bo2bo11bobo$3b2o3bobo6b2o5bo$3bo5bo7b
o4$ob2obo2b2obo2b2o13b2o4b2ob2o11bo2b2obo4bo6bob2obo2b2obo2bo2b2obo4b
2obo6b2ob2obo$2obob4ob2o2bo7bo7bo4bob2obo10b4ob2o3bobo5b2obob4ob2o2b4o
b2o4bob2o5bobobob2o$4bo10bo5bobo5bo3b2o6bo19bo2bo8bo18b2o4b2o2bobo$5b
2o9bo4bobo4bo4bo8bo8b2o7b2o3bo8b2o7b2o7bo5bo3bo$6bo8b2o3b2ob2o3b2o4bo
6b2o8bo8bo3b2o9bo7bo9bo5bo3bo$5bo9bo5bobo5bo3b2o18bob2o4bo2bo9bo10bob
2o3b2o2b3o5bob2o$5b2o9bo3bo3bo3bo12b2o9b3obo3b2o3bo8b2o8b3obo4bobo9b2o
bo$17bobo5bobo5b2o6bo9bo10b3obo16bo9bo2bo12bo$5b2o9b2ob2o3b2ob2o4bo8b
o8b2o7b2o3bo8b2o7b2o7b2o3bo12bo$6bo10bobo5bobo6bo6b2o18bo2bo10bo16bo5b
o9bobo$5bo11bobo5bobo7bob2obo10b4ob2o2bo3bobo7bo8b4ob2o3bo5bo2b2obobo
bo$5b2o11bo7bo9b2ob2o10bo2b2obo2b2o3b2o7b2o7bo2b2obo2b2o4b2o2bob2ob2o
9$b2o$obo$bo$2b3o$5bo$4b2o2$6b2o$6bo$7b3o$10bo$9bobo$9b2o8$2o7b2o2bo2b
ob2o3b2ob2o4bo2b2obob2o2bob2ob2o3bob2ob2o3b2ob2o5bo2b2obob2o2bo2b2obo
b2o2bo2b2obob2o4bo6b2obob2o3bob2o2bo4b2ob2o3bob2ob2o3bo2b2obob2o2bo2b
ob2o4bo2b2obob2o$obo5bobo2b4obo4bob2obo3b4ob2obo3b2obobobo2b2obobobo3b
obobo4b4ob2obo3b4ob2obo3b4ob2obo4bobo5bob2obobo2b2ob4o3bob2obo3b2obob
obo2b4ob2obo3b4obo5b4ob2obo$bobo3bobo10bo7bo11bo9b2o8b2o3bo2bobo11bo11b
o11bo4bo2bo11bo12bo14b2o10bo10bo11bo$2bobobobo4b2o4b2o7b2o2b2o6b2o22b
2o4bo3b2o6b2o2b2o6b2o2b2o6b2o2b2o3bo9bo8b2o2b2o18b2o6b2o2b2o4b2o3b2o6b
2o$3b2ob2o6bo4bo9bo3bo16b2o8b2o2bo5b2o3bo11bo11bo10bo3b2o8bo10bo2bo15b
2o3bo10bo11bo$5bo8bob2obo4b2obo4bo7b2o2bo2b2o2bo2bo2b2o2bo3bo5bo2bo7b
2o2bo7b2o2bo7b2o3bo2bo8bo10bo5bob2o4bo2b2o2bo2bo7b2o4bob4o3bo7b2o$5bo
7b2o2b2o5bob3o3b2o7bo2b4ob2o3b4ob2o3b2o4bo3b2o7bo2b2o7bo2b2o7bo2b2o3b
o6bo10bo5b3obo4b4ob2o3b2o7bo3b3obo2bo2b2o7bo$3b2ob2o7bo13bo10bo29b2o10b
o11bo11bo5b3obo4bo11b2o3bo5b2o20bo3bo6b2o10bo$2bobobobo4b2o13b2o2b2o6b
2o2b2o8b2o8b2o5bo2b2o6b2o2b2o6b2o2b2o6b2o2b2o3bo4bo13bo3b2o5bo2b2o8b2o
6b2o2b2o9b2o6b2o$bobo3bobo3bo14bo4bo10bo9bo10bo4bo4bo11bo11bo11bo2bo4b
o13bo5bo4bo3bo10bo17b2o3bo$obo5bobo3bo8bob2obo4bob2ob4o4bobob2o4bobob
2o3bobobo5bob2ob4o3bob2ob4o3bob2ob4o2bo3bobo2bobob2obo5bo6bobobo6bobo
b2o3bob2ob4o2b4obo2bo3bob2ob4o$2o7b2o2b2o8b2ob2o4b2obob2o2bo3b2ob2obo
3b2ob2obo2b2ob2o5b2obob2o2bo2b2obob2o2bo2b2obob2o2bo2b2o3b2o3b2obob2o
5b2o6b2ob2o4b2ob2obo2b2obob2o2bo2bo2bob2o4b2obob2o2bo10$2b3o3bo$2b2o4b
o$3bo2b2obo$bo$bob2obo2bo$bo4bo2bo$6bobo3$3b2ob2o4bo8bo6b2o2b2ob2o5b2o
9bo2b2obo4b2ob2o4b2obo6b2ob2o5bo2bob2o4b2o11bo15b2ob2o4bo8bo6b2o2b2ob
2o5bo2b2obo2b2o11bo6bo2bob2o6b2obo6bo$2bobob2o3bobo6bobo5bo4bobobo4bo
10b4ob2o3bobob2o4bob2o6bob2obo4b4obo5bo11bobo13bobob2o3bobo6bobo5bo4b
obobo4b4ob2o2bo11bobo5b4obo7bob2o5bobo$bobo7bo2bo5bo2bo5bo3bo2bobo4bo
18bobo6b2o4b2o2b2o6bo10bo4bo10bo2bo11bobo7bo2bo5bo2bo5bo3bo2bobo13bo10b
o2bo11bo3b2o4b2o3bo2bo$bo8b2o3bo3b2o3bo3b2o2b2o4bo3b2o9b2o7bo8bo5bo3b
o8bo2b2o4b2o3b2o9b2o3bo10bo8b2o3bo3b2o3bo3b2o2b2o4bo3b2o7b2o9b2o3bo3b
2o4b2o3bo5bo3b2o3bo$2o8bo3b2o7b2o3bo3bo5b2o13bo9bo8bo5bo3bo6b2o2bo21b
o3b2o9b2o8bo3b2o7b2o3bo3bo5b2o2bo19bo3b2o3bo11bo5bo2bo3b2o$o10bo2bo4b
2o2bo5bo3bo5bo2b2o11bob2o3b2o7b2o2b3o3b2o12bob4o3b2o10bo2bo10bo10bo2b
o4b2o2bo5bo3bo5bo4bob2o3b2o10bo2bo6bob4o3b2o2b3o4bo2bo$bo8b2o3bo3bo5b
o2b2o2b2o4bo3bo11b3obo4bob2obo3bobo14b2o3b3obo2bo2bo10b2o3bo10bo8b2o3b
o3bo5bo2b2o2b2o4bo4b3obo3bo10b2o3bo4b3obo2bo3bobo6b2o3bo$2o10b3obo3bo
3b2o12b2o3bo9bo9bobob2o3bo2bo5b2o6bo3bo6b2o3bo11b3obo8b2o10b3obo3bo3b
2o12b2o2bo9bo11b3obo2bo6b2o3bo2bo7b3obo$o9b2o3bo3b2o3bo3b2o2b2o5bo2b2o
9b2o7b2o7b2o3bo4bo8bo2b2o9b2o9b2o3bo9bo9b2o3bo3b2o3bo3b2o2b2o5bo2b2o7b
2o9b2o3bo3b2o9b2o3bo4b2o3bo$bo9bo2bo4bo5bo2bo4bo4bo24bo7bo5bo4bo6b2o9b
2o14bo2bo11bo9bo2bo4bo5bo2bo4bo4bo24bo2bo11b2o2bo5bo4bo2bo$2bob2obo2b
o3bobo3bo5bobo4bobobo4b4obob2o2b4ob2o2bo9bo5bo4bob2obo4b4obo2bo2b4obo
b2o2bo3bobo10bob2obo2bo3bobo3bo5bobo4bobobo4b4ob2o2b4obob2o2bo3bobo2b
4obo2bo3bo5bo2bo3bobo$3b2ob2o2b2o3b2o2b2o6bo4b2ob2o5bo2bob2obo2bo2b2o
bo2b2o7b2o4b2o5b2ob2o4bo2bob2o4bo2bob2obo2b2o3b2o11b2ob2o2b2o3b2o2b2o
6bo4b2ob2o5bo2b2obo2bo2bob2obo2b2o3b2o2bo2bob2o4b2o4b2o2b2o3b2o10$bo6b
o8bo$ob3o2bobo6bobo5bo$bo2bo2bobo2bo4bob2o2bobo$4bo2bobobobo6bo2bobo2b
o$9bo2bo7bo2bobobobo$8b2o15bo2bo$24b2o3$ob2obo2b2obo4bo8bob2o7bo6b2o11b
2ob2o7bo6b2o4bob2o11bob2o7bo2b2obob2o$2obob4ob2o3bobo7b2ob3o4bobo5bo12b
ob2obo5bobo5bo5b2ob3o9b2o2bo6b4ob2obo$4bo10bo2bo4b2o6bo3bo2bo5bo9b2o6b
o4bo2bo5bo2b2o6bo11bobo13bo$5b2o7b2o3bo4bo5b2o2b2o3bo3b2o9bo8bo2b2o3b
o3b2o3bo5b2o12b2o5b2o6b2o$6bo7bo3b2o3bo10bo3b2o15bo6b2o6b2o3bo3bo28bo
$5bo9bo2bo4b2o3bo6bo2bo4b2o9b2o10b2o2bo5bo2b2o3bo15b2o5bo7b2o$5b2o7b2o
3bo8b3o3b2o3bo3bo18b2o2bo5bo2b2o7b3o14bo5b2o7bo$16b3obo2b2o6bo4b3obo3b
o9b2o6bo4bo3b2o6b2o6bo12bo14bo$5b2o7b2o3bo3bo6b2o2b2o3bo3b2o9bo8bo2b2o
3bo3b2o2bo6b2o12b2o5b2o6b2o$6bo8bo2bo5bo5bo4bo2bo16bo6b2o2bo5bo2bo4bo
5bo14bo6bo$5bo8bo3bobo4bob2obo3bo3bobo2b4obob2o4bob2obo5bo5bobo5bob2o
bo9b2obobob2o3bob2ob4o$5b2o7b2o3b2o5b2obo4b2o3b2o2bo2bob2obo5b2ob2o4b
2o6bo7b2obo10bob2ob2obo2b2obob2o2bo9$2b2o$2bobo2$4b2o$5bo$7bo$6b2o$2b
3o$o$o4bo$bo$3b2o$4bo$4bo$4bo!
Assembled syntheses for 31 of them.

Code: Select all

x = 650, y = 367, rule = B3/S23
3b2ob2o4b2obo6b2ob2o6b2o7b2o9b2o3b2o84b2ob2o4b2obo6b2ob2o6b2o7b2o9b2o
3b2o48b2ob2o4b2obo6b2ob2o6b2o7b2o13b2ob2o66b2ob2o4b2obo6b2ob2o6b2o7b2o
13b2o58b2ob2o4b2obo6b2ob2o6b2o7b2o10bo3b2o46b2ob2o4b2obo6b2ob2o6b2o7b
2o14b2o$2bobob2o4bob2o6bob2obo4bo2bo5bo2bo8bobo3bo83bobob2o4bob2o6bob
2obo4bo2bo5bo2bo8bobo3bo47bobob2o4bob2o6bob2obo4bo2bo5bo2bo8b2o3bobo66b
obob2o4bob2o6bob2obo4bo2bo5bo2bo8b2o3bo57bobob2o4bob2o6bob2obo4bo2bo5b
o2bo8bobo3bo45bobob2o4bob2o6bob2obo4bo2bo5bo2bo12bo2bo$bobo6b2o4b2o2b
2o6bo4bobo5bobo10bo87bobo6b2o4b2o2b2o6bo4bobo5bobo10bo51bobo6b2o4b2o2b
2o6bo4bobo5bobo9bo6bo65bobo6b2o4b2o2b2o6bo4bobo5bobo9bo61bobo6b2o4b2o
2b2o6bo4bobo5bobo10bo49bobo6b2o4b2o2b2o6bo4bobo5bobo9b2o3bobo$bo8bo5b
o3bo8bo2b2ob2o3b2ob2o10b7o80bo8bo5bo3bo8bo2b2ob2o3b2ob2o10b7o44bo8bo5b
o3bo8bo2b2ob2o3b2ob2o9b6o66bo8bo5bo3bo8bo2b2ob2o3b2ob2o9b7o54bo8bo5bo
3bo8bo2b2ob2o3b2ob2o10b7o42bo8bo5bo3bo8bo2b2ob2o3b2ob2o8bo4bob2o$2bo8b
o5bo3bo6b2o5bo5bo19bo81bo8bo5bo3bo6b2o5bo5bo19bo45bo8bo5bo3bo6b2o5bo5b
o85bo8bo5bo3bo6b2o5bo5bo18bo55bo8bo5bo3bo6b2o5bo5bo19bo43bo8bo5bo3bo6b
2o5bo5bo12b4o$b2o7b2o2b3o3b2o10b2o2bo3bo2b2o12b2o83b2o7b2o2b3o3b2o10b
2o2bo3bo2b2o12b2o47b2o7b2o2b3o3b2o10b2o2bo3bo2b2o11b2o68b2o7b2o2b3o3b
2o10b2o2bo3bo2b2o11b2o57b2o7b2o2b3o3b2o10b2o2bo3bo2b2o12b2o45b2o7b2o2b
3o3b2o10b2o2bo3bo2b2o$2bob2obo3bobo14b2o2bo4bobo4bo12b2o84bob2obo3bob
o14b2o2bo4bobo4bo11bobo48bob2obo3bobo14b2o2bo4bobo4bo10bobo69bob2obo3b
obo14b2o2bo4bobo4bo10bobo58bob2obo3bobo14b2o2bo4bobo4bo12b2o46bob2obo
3bobo14b2o2bo4bobo4bo11b2o$2bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo99bobob2o
3bo2bo5b2o6bo4bo2b2ob2o2bo13bo49bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo12bo
70bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo10bobo59bobob2o3bo2bo5b2o6bo4bo2b2o
b2o2bo61bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo11bobo$b2o7b2o3bo4bo8bo2b2o3b
obo3b2o97b2o7b2o3bo4bo8bo2b2o3bobo3b2o61b2o7b2o3bo4bo8bo2b2o3bobo3b2o
81b2o7b2o3bo4bo8bo2b2o3bobo3b2o10bo59b2o7b2o3bo4bo8bo2b2o3bobo3b2o59b
2o7b2o3bo4bo8bo2b2o3bobo3b2o11bo$2bo7bo5bo4bo6b2o2bo4bobo4bo98bo7bo5b
o4bo6b2o2bo4bobo4bo62bo7bo5bo4bo6b2o2bo4bobo4bo82bo7bo5bo4bo6b2o2bo4b
obo4bo71bo7bo5bo4bo6b2o2bo4bobo4bo60bo7bo5bo4bo6b2o2bo4bobo4bo$bo9bo5b
o4bob2obo5bo4bo4bo98bo9bo5bo4bob2obo5bo4bo4bo62bo9bo5bo4bob2obo5bo4bo
4bo82bo9bo5bo4bob2obo5bo4bo4bo71bo9bo5bo4bob2obo5bo4bo4bo60bo9bo5bo4b
ob2obo5bo4bo4bo$b2o7b2o4b2o5b2ob2o4b2o9b2o97b2o7b2o4b2o5b2ob2o4b2o9b2o
61b2o7b2o4b2o5b2ob2o4b2o9b2o81b2o7b2o4b2o5b2ob2o4b2o9b2o70b2o7b2o4b2o
5b2ob2o4b2o9b2o59b2o7b2o4b2o5b2ob2o4b2o9b2o8$384b2o43b2o$2b2o3b2o47b2o
3b2o33b2o3b2o277b2o3bo39b2o3bo60bo$2bobo3bo47bobo3bo33bobo3bo154b2ob2o
118bo44bo63bobo108b2o$3bo13bo32bo6bo39bo155b2o3bobo120b7o38b7o57b2o7b
o3b2o35bo3b2o53bo2bo$4b7o6bobo28bobo7b7o33b7o148bo6bo126bo44bo65bobo3b
o34bobo3bo49b2o3bobo$10bo6b2o30b2o13bo39bo42b2o3b2o95bo4b6o123b2o43b2o
69bo40bo54bo4bob2o$6b2o52b2o32bo5b2o45bobo3bo93bobo132bobo42bobo60bob
o7b7o34b7o43bo4b4o$6b2o52b2o33b2o3b2o46bo99b2o6b2o123bobo42bobo62b2o13b
o40bo41bobo$94b2o48bo4b7o99bobo124bo44bo63bo10b2o39b2o45b2o6b2o$142bo
bo10bo100bo245b2o40bo52bobo$143b2o6b2o388b3o54bo$150bobo380b2o6bo$151b
o284b3o94b2o$372b3o52b2o7bo$98b2o274bo7b2o42bobo8bo$11b2o42b2o40bobo152b
2o119bo8bobo43bo58bo17b2o$11bobo40bobo42bo152bobo127bo104b2o6b2o8bobo
29b3o54b2o$11bo44bo195bo233bobo5bobo8bo88bobo$b3o60b3o80b2o347bo32b3o
62bo$3bo60bo82bobo381bo$2bo62bo81bo382bo$490b3o$492bo$491bo3$249b2ob2o
4b2obo6b2ob2o6b2o7b2o13b2ob2o$144b2ob2o4b2obo6b2ob2o6b2o7b2o13b2ob2o45b
obob2o4bob2o6bob2obo4bo2bo5bo2bo8b2o3bobo79bo204b2ob2o4b2obo6b2ob2o6b
2o7b2o14b2o$143bobob2o4bob2o6bob2obo4bo2bo5bo2bo8b2o3bobo45bobo6b2o4b
2o2b2o6bo4bobo5bobo9bo6bo79bobo201bobob2o4bob2o6bob2obo4bo2bo5bo2bo12b
o2bo$142bobo6b2o4b2o2b2o6bo4bobo5bobo9bo6bo45bo8bo5bo3bo8bo2b2ob2o3b2o
b2o9b6o80b2o201bobo6b2o4b2o2b2o6bo4bobo5bobo9b2o3bobo$142bo8bo5bo3bo8b
o2b2ob2o3b2ob2o9b6o47bo8bo5bo3bo6b2o5bo5bo88bo212bo8bo5bo3bo8bo2b2ob2o
3b2ob2o8bo4bob2o$143bo8bo5bo3bo6b2o5bo5bo64b2o7b2o2b3o3b2o10b2o2bo3bo
2b2o11b2o73b2o109b2ob2o4b2obo6b2ob2o6b2o7b2o13b2o46bo8bo5bo3bo6b2o5bo
5bo12b4o$142b2o7b2o2b3o3b2o10b2o2bo3bo2b2o11b2o49bob2obo3bobo14b2o2bo
4bobo4bo11bobo71b2o109bobob2o4bob2o6bob2obo4bo2bo5bo2bo8b2o3bo45b2o7b
2o2b3o3b2o10b2o2bo3bo2b2o$143bob2obo3bobo14b2o2bo4bobo4bo11b2o49bobob
2o3bo2bo5b2o6bo4bo2b2ob2o2bo13bo182bobo6b2o4b2o2b2o6bo4bobo5bobo9bo51b
ob2obo3bobo14b2o2bo4bobo4bo11b2o$143bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo
62b2o7b2o3bo4bo8bo2b2o3bobo3b2o195bo8bo5bo3bo8bo2b2ob2o3b2ob2o9b7o44b
obob2o3bo2bo5b2o6bo4bo2b2ob2o2bo12b2o$142b2o7b2o3bo4bo8bo2b2o3bobo3b2o
62bo7bo5bo4bo6b2o2bo4bobo4bo196bo8bo5bo3bo6b2o5bo5bo18bo43b2o7b2o3bo4b
o8bo2b2o3bobo3b2o$143bo7bo5bo4bo6b2o2bo4bobo4bo61bo9bo5bo4bob2obo5bo4b
o4bo196b2o7b2o2b3o3b2o10b2o2bo3bo2b2o11b2o47bo7bo5bo4bo6b2o2bo4bobo4b
o$142bo9bo5bo4bob2obo5bo4bo4bo62b2o7b2o4b2o5b2ob2o4b2o9b2o196bob2obo3b
obo14b2o2bo4bobo4bo11bobo45bo9bo5bo4bob2obo5bo4bo4bo$142b2o7b2o4b2o5b
2ob2o4b2o9b2o201b2o42bo3b2o50bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo13bobo44b
2o7b2o4b2o5b2ob2o4b2o9b2o$383b2o3bo41bobo3bo49b2o7b2o3bo4bo8bo2b2o3bo
bo3b2o13bo$8b2o3b2o35b2o3b2o326bo33bobo11bo55bo7bo5bo4bo6b2o2bo4bobo4b
o$8bobo3bo35bobo3bo327b7o27b2o3bobo6b7o47bo9bo5bo4bob2obo5bo4bo4bo$9b
o41bo321b2o15bo27bo5b2o12bo47b2o7b2o4b2o5b2ob2o4b2o9b2o$10b7o35b7o313b
obo11b2o36bo9b2o$16bo41bo315bo10bobo45bobo$12b2o40b2o328bobo45bobo$2b
o9b2o40bo2bo193b2ob2o129bo47bo$3bo52b2o189b2o3bobo$b3o145b2ob2o93bo6b
o$145b2o3bobo95b6o4bo336b2o38b2o$145bo6bo105bobo161bo73b2o96bo2bo36bo
2bo$146b6o98b2o6b2o162b2o68b2o3bo92b2o3bobo32b2o3bobo$55b2o193bobo168b
obo16b2o50bo97bo4bob2o31bo4bob2o$55b2o85bo5b2o101bo187b2o52b7o91b4o36b
4o6bo$143b2o3b2o291bo57bo141bobo$5b3o134b2o351b2o96b2o38b2o6b2o$7bo487b
obo95b2o38bobo$6bo17b3o469bobo135bo$24bo472bo$25bo228b2o$253bobo$64b3o
79b2o107bo118b2ob2o4b2obo6b2ob2o6b2o7b2o13b2o170bo$4b2o58bo80bobo225b
obob2o4bob2o6bob2obo4bo2bo5bo2bo8b2o3bo56b3o100b2o8b2o$5b2o58bo81bo224b
obo6b2o4b2o2b2o6bo4bobo5bobo9bo63bo7b2o92b2o7bobo35b2o$4bo367bo8bo5bo
3bo8bo2b2ob2o3b2ob2o9b7o55bo8bobo90bo46bobo$373bo8bo5bo3bo6b2o5bo5bo18b
o64bo141bo$372b2o7b2o2b3o3b2o10b2o2bo3bo2b2o11b2obo165b2o$249b2ob2o4b
2obo6b2ob2o6b2o7b2o13b2o68bob2obo3bobo14b2o2bo4bobo4bo11b2ob2o164bobo
$248bobob2o4bob2o6bob2obo4bo2bo5bo2bo8b2o3bo68bobob2o3bo2bo5b2o6bo4bo
2b2ob2o2bo181bo$247bobo6b2o4b2o2b2o6bo4bobo5bobo9bo72b2o7b2o3bo4bo8bo
2b2o3bobo3b2o$247bo8bo5bo3bo8bo2b2ob2o3b2ob2o9b7o66bo7bo5bo4bo6b2o2bo
4bobo4bo$248bo8bo5bo3bo6b2o5bo5bo18bo65bo9bo5bo4bob2obo5bo4bo4bo$247b
2o7b2o2b3o3b2o10b2o2bo3bo2b2o9b4o68b2o7b2o4b2o5b2ob2o4b2o9b2o$154b2ob
2o37b2ob2o47bob2obo3bobo14b2o2bo4bobo4bo9bo2bo$150b2o3bobo34b2o3bobo48b
obob2o3bo2bo5b2o6bo4bo2b2ob2o2bo$150bo6bo34bo6bo47b2o7b2o3bo4bo8bo2b2o
3bobo3b2o$151b6o36b6o49bo7bo5bo4bo6b2o2bo4bobo4bo197b2ob2o4b2obo6b2ob
2o6b2o7b2o13b2o$247bo9bo5bo4bob2obo5bo4bo4bo197bobob2o4bob2o6bob2obo4b
o2bo5bo2bo8b2o3bo$153b2o40b2o50b2o7b2o4b2o5b2ob2o4b2o9b2o195bobo6b2o4b
2o2b2o6bo4bobo5bobo9bo$143bo9b2o40bo2bo287bo8bo5bo3bo8bo2b2ob2o3b2ob2o
9b7o$144bo52b2o288bo8bo5bo3bo6b2o5bo5bo18bo$142b3o341b2o7b2o2b3o3b2o10b
2o2bo3bo2b2o11b2obo$10b2o3b2o41b2o3b2o321bo100bob2obo3bobo14b2o2bo4bo
bo4bo11b2ob2o$10bobo3bo41bobo3bo321bobo98bobob2o3bo2bo5b2o6bo4bo2b2ob
2o2bo$11bo47bo271b2o53b2o98b2o7b2o3bo4bo8bo2b2o3bobo3b2o$12b7o41b7o129b
2o56b2o34b2o35b2o3bo43bo110bo7bo5bo4bo6b2o2bo4bobo4bo$18bo47bo129b2o52b
2o3bo30b2o3bo35bo49b2o107bo9bo5bo4bob2obo5bo4bo4bo$14b2o46b2o186bo35b
o41b7o41b2o108b2o7b2o4b2o5b2ob2o4b2o9b2o$14b2o9bo34bo2bo82b3o102b7o29b
7o40bo$24bo35b2o86bo108bo35bo34b4o$24b3o120bo17b3o83b4o32b4o37bo2bo$165b
o85bo2bo32bo2bo$166bo$387b2o$61b2o142b3o175b2o3bo$61b2o82b2o58bo177bo
$146b2o58bo177b7o$20b3o122bo227b2o15bo$20bo227b2o42b2o78bobo11b2obo$b
3o17bo225bobo42bobo79bo11b2ob2o$3bo245bo8b2o22b2o8bo$2bo255bobo20bobo
209b2o53b2o$258bo24bo205b2o3bo49b2o3bo$51b3o261b2o17b3o152bo54bo$22b2o
29bo193b2o44b2o19bobo17bo155b7o39bo8b7o$21b2o29bo195b2o42b2o22bo18bo6b
2o152bo40b2o12bo$23bo223bo46bo47bobo147b2obo40b2o9b2obo$342bo149b2ob2o
50b2ob2o3$374b2ob2o4b2obo6b2ob2o6b2o7b2o10bo3b2o118b2o$373bobob2o4bob
2o6bob2obo4bo2bo5bo2bo8bobo3bo117bo2bo$372bobo6b2o4b2o2b2o6bo4bobo5bo
bo10bo122bo2bo$249b2ob2o4b2obo6b2ob2o6b2o7b2o13b2o67bo8bo5bo3bo8bo2b2o
b2o3b2ob2o10b7o116b2o$3b2ob2o4b2obo6b2ob2o6b2o7b2o13b2o189bobob2o4bob
2o6bob2obo4bo2bo5bo2bo8b2o3bo68bo8bo5bo3bo6b2o5bo5bo19bo64b2o$2bobob2o
4bob2o6bob2obo4bo2bo5bo2bo8b2o3bo97b2ob2o43b2ob2o38bobo6b2o4b2o2b2o6b
o4bobo5bobo9bo72b2o7b2o2b3o3b2o10b2o2bo3bo2b2o10b2obo56b3o7b2o42b2o16b
2o$bobo6b2o4b2o2b2o6bo4bobo5bobo9bo98b2o3bobo40b2o3bobo39bo8bo5bo3bo8b
o2b2ob2o3b2ob2o9b7o66bob2obo3bobo14b2o2bo4bobo4bo10bob2o58bo9bo42b2o14b
2o$bo8bo5bo3bo8bo2b2ob2o3b2ob2o9b7o91bo6bo40bo6bo40bo8bo5bo3bo6b2o5bo
5bo18bo66bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo72bo52bo18bo$2bo8bo5bo3bo6b
2o5bo5bo18bo92b6o42b6o40b2o7b2o2b3o3b2o10b2o2bo3bo2b2o11b2o68b2o7b2o3b
o4bo8bo2b2o3bobo3b2o$b2o7b2o2b3o3b2o10b2o2bo3bo2b2o9b2o2bo189bob2obo3b
obo14b2o2bo4bobo4bo10bobo69bo7bo5bo4bo6b2o2bo4bobo4bo$2bob2obo3bobo14b
2o2bo4bobo4bo9b2o2b2o95b2o46b2o43bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo12b
o69bo9bo5bo4bob2obo5bo4bo4bo$2bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo111b2o
9bo34bo2bo42b2o7b2o3bo4bo8bo2b2o3bobo3b2o81b2o7b2o4b2o5b2ob2o4b2o9b2o
133b3o$b2o7b2o3bo4bo8bo2b2o3bobo3b2o120bo35b2o45bo7bo5bo4bo6b2o2bo4bo
bo4bo260bo$2bo7bo5bo4bo6b2o2bo4bobo4bo120b3o79bo9bo5bo4bob2obo5bo4bo4b
o260bo$bo9bo5bo4bob2obo5bo4bo4bo203b2o7b2o4b2o5b2ob2o4b2o9b2o$b2o7b2o
4b2o5b2ob2o4b2o9b2o2$202b2o$202b2o$375bo$161b3o94b2o113bobo$161bo92b2o
3bo114b2o$142b3o17bo91bo$144bo110b7o$11b2o130bo117bo$7b2o3bo236bobo5b
2o$7bo184b3o55b2o4bobo$8b7o148b2o29bo55bo6bo$14bo147b2o29bo187bo3b2o$
8b2o2bo151bo207b3o5bobo3bo$8b2o2b2o360bo6bo$373bo8b7o$388bo$382b2obo$
382bob2o$2bo245b2o$2b2o8b2o233bobo$bobo7b2o236bo$13bo243b2o$257bobo$5b
2o250bo$4bobo$6bo61$184b2ob2o4b2obo6b2ob2o6b2o7b2o13b2o86b2ob2o4b2obo
6b2ob2o6b2o7b2o10bo$2b2ob2o4b2obo6b2ob2o6b2o7b2o9b2o129bobob2o4bob2o6b
ob2obo4bo2bo5bo2bo11bo2bo84bobob2o4bob2o6bob2obo4bo2bo5bo2bo8bobo$bob
ob2o4bob2o6bob2obo4bo2bo5bo2bo8bo2b2o125bobo6b2o4b2o2b2o6bo4bobo5bobo
13bobo83bobo6b2o4b2o2b2o6bo4bobo5bobo9b2obo$obo6b2o4b2o2b2o6bo4bobo5b
obo14bo124bo8bo5bo3bo8bo2b2ob2o3b2ob2o8b2o3bo84bo8bo5bo3bo8bo2b2ob2o3b
2ob2o11bo$o8bo5bo3bo8bo2b2ob2o3b2ob2o9bobobo125bo8bo5bo3bo6b2o5bo5bo12b
ob2o86bo8bo5bo3bo6b2o5bo5bo14bobo$bo8bo5bo3bo6b2o5bo5bo12bo3b2o123b2o
7b2o2b3o3b2o10b2o2bo3bo2b2o11bo86b2o7b2o2b3o3b2o10b2o2bo3bo2b2o12b2o$
2o7b2o2b3o3b2o10b2o2bo3bo2b2o10b3o2bo123bob2obo3bobo14b2o2bo4bobo4bo11b
o87bob2obo3bobo14b2o2bo4bobo4bo15b2o$bob2obo3bobo14b2o2bo4bobo4bo13bo
bo123bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo100bobob2o3bo2bo5b2o6bo4bo2b2ob
2o2bo16bobo$bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo13bobo123b2o7b2o3bo4bo8b
o2b2o3bobo3b2o98b2o7b2o3bo4bo8bo2b2o3bobo3b2o17bo$2o7b2o3bo4bo8bo2b2o
3bobo3b2o13bo125bo7bo5bo4bo6b2o2bo4bobo4bo99bo7bo5bo4bo6b2o2bo4bobo4b
o17bobo$bo7bo5bo4bo6b2o2bo4bobo4bo138bo9bo5bo4bob2obo5bo4bo4bo99bo9bo
5bo4bob2obo5bo4bo4bo19b2o$o9bo5bo4bob2obo5bo4bo4bo139b2o7b2o4b2o5b2ob
2o4b2o9b2o98b2o7b2o4b2o5b2ob2o4b2o9b2o$2o7b2o4b2o5b2ob2o4b2o9b2o9$325b
o$324bobo$324b2obo$186b2o63b2o74bo$5b2o178bo2bo61bo2bo73bobo$5bo2b2o176b
obo62bobo74b2o$10bo171b2o3bo59b2o3bo78b2o$6bobobo172bob2o61bob2o79bob
o$6bo3b2o173bo64bo82bo8bo$7b3o2bo172bo64bo82bobo6bobo$10bobo321b2o6b2o
$9bobo$10bo4$333b2o$3o329bobo$2bo7b2o322bo$bo8bobo174b2o58b2o$10bo175b
obo58bobo$188bo58bo$197b2o4b2o26b2o4b2o$196b2o5bobo24bobo5b2o$198bo4b
o28bo4bo$184b2o64b2o$183bobo64bobo$185bo64bo7$2b2ob2o4b2obo6b2ob2o6b2o
7b2o9b2o$bobob2o4bob2o6bob2obo4bo2bo5bo2bo8bo2b2o$obo6b2o4b2o2b2o6bo4b
obo5bobo14bo$o8bo5bo3bo8bo2b2ob2o3b2ob2o9bobobo$bo8bo5bo3bo6b2o5bo5bo
12bo3b2o$2o7b2o2b3o3b2o10b2o2bo3bo2b2o10b3o2bo$bob2obo3bobo14b2o2bo4b
obo4bo12bobo$bobob2o3bo2bo5b2o6bo4bo2b2ob2o2bo14bo$2o7b2o3bo4bo8bo2b2o
3bobo3b2o$bo7bo5bo4bo6b2o2bo4bobo4bo$o9bo5bo4bob2obo5bo4bo4bo$2o7b2o4b
2o5b2ob2o4b2o9b2o24$2b2o71b2o$2bo2b2o68bo2b2o$7bo72bo$3bobobo68bobobo
$3bo3b2o67bo3b2o$4b3o2bo67b3o2bo$6bobo70bobo$7bo72bo3$81b2o$80bo2bo$80b
o2bo$81b2o$11b2o82b2o$3o7b2o82b2o$2bo9bo83bo$bo84b2o$85bobo$87bo6$105b
o$104b2o$104bobo12$48b2o$49b2o$48bo64b3o$104b2o7bo$104bobo7bo$104bo!
(Red means synthesized by me, blue means synthesized not by me)

Code: Select all

x = 229, y = 355, rule = LifeHistory
3.2A.2A2.2A4.2A2.A2.A.2A3.2A4.2A4.2A.2A7.2A.2A5.2A5.2A$2.A.A.2A2.A5.A
3.4A.A4.A6.A4.A.2A.A6.A.2A.A4.A5.A.A$.A.A7.A5.A9.A3.A4.A3.2A6.A3.2A6.
A4.A3.A.A$.A8.2A4.2A2.2A4.2A2.2A4.2A2.A8.A2.A8.A2.2A2.A.A$2A8.A5.A4.A
4.A3.A6.A3.A6.2A3.A6.2A3.A.A.A$A10.A5.A3.A.2A.A5.A.3A3.2A10.2A11.A.A$
.A8.2A4.2A2.2A2.2A5.3A.A12.2A10.2A2.2A.A$2A8.A5.A5.A7.A6.A2.2A6.A3.2A
6.A6.A.A$A10.A5.A2.2A8.2A4.2A2.A8.A2.A8.A2.2A2.A.A$.A8.2A4.2A2.A10.A4.
A4.A6.2A3.A6.2A2.A4.A.A$2.A.2A.A4.2A.A5.A8.A6.A4.A.2A.A6.A.2A.A5.A4.A
.A$3.2A.2A4.A.2A4.2A8.2A4.2A5.2A.2A7.2A.2A4.2A5.2A9$2D.2D6.2D.2D6.2A.
2A6.2D.2D6.2D.2D6.2D.2D6.2D.2D6.2A.2A$.D.2D7.D.D3.2D3.A.A3.2A3.D.D3.2D
3.D.D3.2D3.D.D3.2D3.D.D3.2D3.A.A3.2A$D11.D6.D3.A6.A3.D6.D3.D6.D3.D6.D
3.D6.D3.A6.A$7D6.6D5.6A5.6D5.6D5.6D5.6D5.6A$7.D$2.D3.D.D4.4D7.2A.A9.4D
7.2D9.2D9.2D9.A.2A$2.2D3.D5.D2.D7.A.2A9.D2.D5.D2.D8.D2.D8.D2.D7.2A.A$
46.2D11.2D11.2D3$2A2.2A5.2A3.2A3.2D3.2D3.2D3.2D4.2D3.2D4.2D3.2D4.2D3.
2D4.2D3.2D4.2D3.2D4.2D3.2D4.2D3.2D$.A3.A5.A.A.A.A3.D.D.D.D3.D.D3.D4.D
.D3.D4.D.D3.D4.D.D3.D4.D.D3.D4.D.D3.D4.D.D3.D5.D2.D.D$A4.A.2A4.A.A7.D
.D6.D10.D10.D10.D10.D10.D10.D9.D3.D$.3A.A2.A3.A2.A7.D.D7.7D4.7D4.7D4.
7D4.7D4.7D4.7D2.D.D.D$3.A.A6.2A.A2.A3.2D.D2.D10.D10.D10.D10.D10.D10.D
10.D3.2D.D2.D$5.A9.A.2A6.D.2D4.4D7.2D.D9.2D9.2D9.2D9.2D9.2D9.D.2D$5.A
.A7.A9.D7.D2.D7.D.2D7.D2.D8.D.D8.D2.D8.D.D8.D2.D7.D$6.2A6.2A8.2D29.2D
10.2D10.2D10.2D10.2D6.2D3$2A4.2A4.2A.2A6.2A.2A6.2A.2A5.2A.A6.2A2.2A5.
2A2.2A5.2A2.A6.2D3.D$.A3.A.A3.A.2A.A5.A.A.2A6.2A.A.A4.2A.3A4.2A2.A.A5.
A2.2A5.2A2.3A4.D.D.D.D$A4.A5.A10.A17.A9.A10.A2.A18.A5.D.2D$.3A.A6.7A4.
7A4.7A3.7A3.7A3.7A5.7A6.D$3.A.A2.A10.A10.A2.A9.A9.A17.A3.A10.D2.D$5.A
.2A5.A3.2A5.A3.2A2.2A3.A4.2A3.A4.2A3.A7.A3.A.A2.2A3.A5.2D.D.2D$5.A8.2A
9.2A10.2A8.2A8.2A7.2A3.A7.2A8.D2.D$4.2A83.2D3$.2D8.2A7.2A7.2D8.2A7.2A
8.2D9.2A8.2A$.D.D.2D4.A.A.2A3.A.A.2A3.D.D.2D4.A.A.2A3.A.A.2A4.D.D.D6.
A.A2.2A3.A.A2.2A$3.D.D.D5.A.A6.A.A6.D.D7.A.A6.A.A8.2D8.A3.A5.A3.A$3.D
.D.D5.A.A6.A.A6.D.D7.A2.A5.A3.A10.D5.A.A7.A.A$D2.D.2D3.A2.A.2A2.A2.A.
2A2.D2.D.D.D2.A2.A.2A2.A2.A2.2A4.7D2.A2.A.2A3.A2.A.2A$2D.D6.2A.A.A3.2A
.A2.A2.2D.D2.2D2.2A.A.A3.2A.A.A5.D9.2A.A.A4.2A.A2.A$3.D9.A.A6.A.A6.D9.
A.A6.A.A4.D.D3.D7.A.A7.A.A$3.2D8.2A7.2A7.2D8.2A7.2A6.D3.2D7.2A8.2A3$.
2D9.2D9.2A8.2D8.2D9.2A9.2A9.D2.D7.D3.2D6.2D$.D.D3.2D3.D.D3.D4.A.A7.D.
D7.D.D8.A.A8.A.A8.4D6.D.D3.D5.D2.D$3.D2.D.D5.D2.D.D5.A2.2A5.D2.D6.D2.
D7.A3.2A5.A19.D10.D.D3.2D$3.D.D.D6.D.D2.D5.A.A.A5.D.D.D5.D.D.D6.A.A2.
A5.A.2A.A3.4D8.7D2.2D.D4.D$D2.D.2D4.D2.D.D.D3.A2.A.A4.D2.D.2D3.D2.D.D
2.D2.A2.A.2A4.A2.A.A.2A2.D4.D.2D10.D6.4D$2D.D7.2D.D2.D4.2A.A.2A3.2D.D
6.2D.D2.D.D2.2A.A.A5.2A.A.A5.2D3.D.D7.2D$3.D10.D10.A2.A6.D.2D6.D3.D6.
A.A8.A.A9.D2.D8.D7.4D$3.2D9.2D9.2A8.2D.D6.2D9.2A9.2A11.2D6.3D8.D2.D$88.
D12$A.2A.A2.2A.A4.2A.A4.A.2A2.A.2A.A5.2A.2A2.A2.2A.A8.A.2A.A2.2A.A4.2A
.2A7.A6.2A4.A.2A7.2A.2A.A$2A.A.4A.2A4.A.2A4.2A.4A.A.2A4.A.A.2A2.4A.2A
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A4.2A9.2A10.2A2.A5.A2.2A3.A15.2A5.A7.2A$5.2A7.2A3.A8.3A3.2A3.A3.A18.2A
2.A5.A2.2A7.3A14.A5.2A7.A$16.3A.A2.2A6.A4.3A.A3.A9.2A6.A4.A3.2A6.2A6.
A12.A14.A$5.2A7.2A3.A3.A6.2A2.2A3.A3.2A9.A8.A2.2A3.A3.2A2.A6.2A12.2A5.
2A6.2A$6.A8.A2.A5.A5.A4.A2.A16.A6.2A2.A5.A2.A4.A5.A14.A6.A$5.A8.A3.A.
A4.A.2A.A3.A3.A.A2.4A.A.2A4.A.2A.A5.A5.A.A5.A.2A.A9.2A.A.A.2A3.A.2A.4A
$5.2A7.2A3.2A5.2A.A4.2A3.2A2.A2.A.2A.A5.2A.2A4.2A6.A7.2A.A10.A.2A.2A.
A2.2A.A.2A2.A9$2.2A$2.A.A2$4.2A$5.A$7.A$6.2A$2.3A$A$A4.A$.A$3.2A$4.A$
4.A$4.A!
EDIT:
mniemiec wrote:
August 6th, 2021, 6:56 pm
Here are also four partials; three are from catalogue soups. The third looks the most viable. The four is complete, but relies on a still-life that neither I nor catagolue know how to make:

Code: Select all

x = 82, y = 117, rule = B3/S23
36bo$34boo$26bo8boo31bo$25bobo39bobo$10bo13booboo9b3o26bobo$9bobo16bo
9bo29bo$9bobo11bo3boo10bo32boo6boo$10bo4bo6bo4bo44boo6boo$14b3o5bobbo$
14bobbo5bobo$15b3o47boo6boo$16bo48boo6boo$9boo$9boo$13b3o3$33boo38boo$
33boo17bo19bobbo$52b3o17bobbo$27bo27boboo14boo$26bobo23boobobo$bo24bob
o23bobbobbo$bbo15bobo6bo27boboo$3o17bo9boo23bo$30boo21bobo$18b3o32boo$
19bo3$4bo$4boo56boo$3bobo55bobbo$62boo13$45boo$45boo3$49boo$16b3o30boo
$15bo3bo19boo$14bo5bo18boo$14bo5bo$14bo5bo$15bo3bobboo19boo$16b3o3boo
19boo$55bo$19boobboo28b3o$19boobobbo26bo$22bobb3o24bobb3o$23boo3bo22b
oobo3bo$24bobobo25bobobo$24bo29bo$25boobbo25boobbo$28boo28boo13$11bo$
12boo$11boo16bobo$28bobbo$28bobbo$28boo$28boo$22boo$22boo$24boo6bo21b
oo$24boo5bobo19bobbo$32boo17bobbobo$33bo17booboboo$32bo24bo$31bo19boob
oo$52bobo$52bobo$53bo4$31bo$31bobo$31boo6$21boobboo24boo$18bobbo3boo6b
obo12bobbo$17bobobo11boo12bobobobobbo$18bobbob4o7bo13bobbobobbo$21bobo
bbo24bobobboobo$22bo12boo15bo5bobo$34bobbo21bo$34bobbo$35boo!
Second one doable in 4G:

Code: Select all

x = 19, y = 19, rule = B3/S23
2o11bo$o2b2o7bo$5bo6b3o$bobobo$bo3b2o$2b3o2bo$4bo2bo$5b2o10bo$16b2o$
16bobo3$b2o$obo$2bo2$8b2o$7b2o$9bo!
Edit 2: Another one down:

Code: Select all

x = 986, y = 112, rule = B3/S23
580bo$581bo$579b3o12$699bo$698bo$698b3o$680bo$679bo$679b3o5$669bo$669b
obo$615bo53b2o$616bo$614b3o21$434bobo$435b2o238bo$435bo11bo226bo$445b
2o227b3o$446b2o$150bo$151b2o521bo$150b2o521bo$673b3o108bo69bo$784bo69b
o$509bo69bo69bo134bo69bo$223b2o68b2o68b2o68b2o68b2o4bo63b2o4bo63b2o4bo
$2bo220bobo67bobo67bobo67bobo67bobo3bo63bobo3bo63bobo3bo$obo221bo69bo
69bo69bo69bo69bo69bo$b2o$76bo69bo69bo69bo69bo69bo69bo69bo69bo$75bobo
67bobo9b3o55bobo67bobo67bobo67bobo67bobo67bobo67bobo$75bo2bo66bo2bo8bo
57bo2bo66bo2bo66bo2bo66bo2bo66bo2bo66bo2bo66bo2bo$76b2o68b2o4b2o4bo57b
2o4b2o62b2o4b2o62b2o4b2o62b2o4b2o62b2o4b2o62b2o4b2o62b2o4b2o$151bobo
67bobo67bobo67bobo67bobo67bobo67bobo67bobo149bo$151b2o68b2o68b2o68b2o
68b2o68b2o68b2o68b2o141b2o6bobo68b3o$784b2o7b2o68bo$297b2ob2o65b2ob2o
65b2ob2o65b2ob2o65b2ob2o65b2ob2o212bo$9b3o285b2ob2o65b2ob2o65b2ob2o65b
2ob2o42bo22b2ob2o26b4o35b2ob2o318bo$9bo545bo51bo3bo359bo$10bo65b2o280b
o194b3o55bo357b3o$77b2o13b3o261bobo248bo2bo$76bo15bo264b2o8b2o68b2o68b
2o68b2o68b2o$93bo127b2o13b2o129b2o63bo4b2o63bo4b2o63bo4b2o63bo4b2o$
220bobo13bobo192bobo67bobo67bobo67bobo$79b2o141bo13bo194bo2bo66bo2bo
66bo2bo66bo2bo$78bobo212b2o137b2o68b2o68b2o5b2o53bo7b2o5b2o117b2o68b2o
68b2o68b2o$80bo211bobo283bo2bo51bobo12bo2bo116b2o68b2o68b2o68b2o$294bo
284b2o52bobo13b2o152b2o$303b2o329bo167b2o$303bobo498bo$303bo61b3o$365b
o405b2o68b2o68b2o68b2o$366bo149b2o164b3o86bo69bo69bo69bo$516bobo37b3o
123bo85b2obo9bo56b2obo9bo56b2obo9bo56b2obo$516bo41bo124bo84bo2bob2o6bo
56bo2bob2o6bo56bo2bob2o6bo56bo2bob2o$501b2o54bo213bo2bo6bo59bo2bo6bo
59bo2bo6bo59bo2bo$500bobo268bobo67bobo67bobo67bobo$502bo266bobobobo63b
obobobo63bobobobo63bobobobo$769b2o3b2o63b2o3b2o63b2o3b2o63b2o3b2o3$
675b2o$675bobo$653b2o20bo252b3o$653bobo272bo$653bo275bo$615b2o$614bobo
28b2o$616bo28bobo$645bo3$647b2o$647bobo$647bo167b2o$815bobo$815bo!
Edit 3: Another one down:

Code: Select all

x = 18, y = 18, rule = B3/S23
3bo$4b2o$3b2o8$3bo11b2o$3b2o4b2o3bobo$2bobo4bo4bo$10b3obo$12bobo2bo$2o
12bob2o$b2o11bo$o12b2o!
Edit 4: Another one down:

Code: Select all

x = 19, y = 18, rule = B3/S23
b2o2b2o9bo$2bo2b2o9bobo$o15b2o$7o$7bo$2bo3b2o$2b2o6$13b2o$12b2o$14bo$
3b2o$2bobo$4bo!
Edit 5: Another one down:

Code: Select all

x = 34, y = 40, rule = B3/S23
5bo$6b2o$5b2o$13bo$12bo$12b3o3$5bobo$6b2o$6bo4$4bo15b2o$5bo14b2o$3b3o
2$17b2ob2o10bo$16bobob2o9bo$16bobo12b3o$15b2o2b3o$16bo4bo$15bo$15b2o3$
29b2o$29bobo$29bo8$2o$b2o$o!
Edit 6: List updated:

Code: Select all

x = 191, y = 225, rule = B3/S23
3b2ob2o2b2o4b2o2bo2bob2o3b2o4b2o4b2ob2o7b2ob2o5b2o5b2o$2bobob2o2bo5bo
3b4obo4bo6bo4bob2obo6bob2obo4bo5bobo$bobo7bo5bo9bo3bo4bo3b2o6bo3b2o6bo
4bo3bobo$bo8b2o4b2o2b2o4b2o2b2o4b2o2bo8bo2bo8bo2b2o2bobo$2o8bo5bo4bo4b
o3bo6bo3bo6b2o3bo6b2o3bobobo$o10bo5bo3bob2obo5bob3o3b2o10b2o11bobo$bo
8b2o4b2o2b2o2b2o5b3obo12b2o10b2o2b2obo$2o8bo5bo5bo7bo6bo2b2o6bo3b2o6bo
6bobo$o10bo5bo2b2o8b2o4b2o2bo8bo2bo8bo2b2o2bobo$bo8b2o4b2o2bo10bo4bo4b
o6b2o3bo6b2o2bo4bobo$2bob2obo4b2obo5bo8bo6bo4bob2obo6bob2obo5bo4bobo$
3b2ob2o4bob2o4b2o8b2o4b2o5b2ob2o7b2ob2o4b2o5b2o9$2ob2o6b2ob2o7b2o8b2o
9b2o$bobo3b2o3bobo3b2o3bobo7bobo8bobo$bo6bo3bo6bo5bo2b2o5bo3b2o5bo$2b
6o5b6o6bobobo5bobo2bo5bob2obo$22bo2bobo4bo2bob2o4bo2bobob2o$2b2obo9bob
2o3b2obob2o3b2obobo5b2obobo$2bob2o9b2obo6bo2bo6bobo8bobo$25b2o8b2o9b2o
3$b2ob2o6b2ob2o6b2ob2o5b2obo6b2o2b2o5b2o2bo$ob2obo5bobob2o6b2obobo4b2o
b3o4b2o2bobo4b2o2b3o$o10bo17bo9bo10bo10bo$b7o4b7o4b7o3b7o3b7o4b7o$8bo
10bo2bo9bo9bo10bo$3bo3b2o5bo3b2o2b2o3bo4b2o3bo4b2o3bo5b2o3bo$3b2o9b2o
10b2o8b2o8b2o9b2o4$b2o7b2o7b2o7b2o8b2o8b2o$bobob2o3bobob2o3bobob2o3bob
ob2o4bobo2b2o3bobo2b2o$3bobo6bobo6bobo6bobo7bo3bo5bo3bo$3bobo6bobo6bo
2bo5bo3bo5bobo7bobo$o2bob2o2bo2bob2o2bo2bob2o2bo2bo2b2o2bo2bob2o3bo2bo
b2o$2obobo3b2obo2bo2b2obobo3b2obobo4b2obobo4b2obo2bo$3bobo6bobo6bobo6b
obo7bobo7bobo$3b2o7b2o7b2o7b2o8b2o8b2o3$ob2obo2b2obo4b2obo4bob2o2bob2o
bo5b2ob2o2bo2b2obo8bob2obo2b2obo4b2ob2o7bo6b2o4bob2o7b2ob2obo$2obob4ob
2o4bob2o4b2ob4obob2o4bobob2o2b4ob2o8b2obob4ob2o4bob2obo5bobo5bo5b2ob3o
4bobobob2o$4bo9b2o4b2o9bo7bobo25bo9b2o6bo4bo2bo5bo2b2o6bo2bobo$5b2o7bo
5bo8bo9bo8b2o18b2o7bo8bo2b2o3bo3b2o3bo5b2o2bo$6bo8bo5bo7b2o7b2o8bo20bo
8bo6b2o6b2o3bo3bo11bo$5bo8b2o2b3o9bo7bo11bob2o14bo8b2o10b2o2bo5bo2b2o
3bo7bob2o$5b2o8bobo11bo9bo9b3obo14b2o15b2o2bo5bo2b2o7b3o6b2obo$15bo2bo
10b2o7b2o8bo28b2o6bo4bo3b2o6b2o6bo9bo$5b2o7b2o3bo10bo7bo9b2o18b2o7bo8b
o2b2o3bo3b2o2bo6b2o10bo$6bo7bo5bo7bo10bo29bo8bo6b2o2bo5bo2bo4bo5bo9bob
o$5bo9bo5bo2b2obob4ob2o4bob2obo2b4ob2o13bo10bob2obo5bo5bobo5bob2obo3b
2obobobo$5b2o7b2o4b2o2bob2obo2b2obo5b2ob2o2bo2b2obo13b2o10b2ob2o4b2o6b
o7b2obo4bob2ob2o9$2o4b2o2b2o4b2o2b2o$o2b2o2bo2bo2b2o2bo2bo2b2o$b2o8b2o
12bo$2bobobo5bobobo4bobobo$2bo3bo5bo3bo4bo3b3o$3b3o7b3o6b3o3bo$bobo11b
obo6bo2bo$b2o13b2o6bobo$25bo12$2b2ob2obo2bob2obo2b2obo2bob2o2bob2obo2b
2o9b2o11bo6bob2obo2b2obo2bo2b2obo4b2obo$bobobob2o2b2obob4ob2o2b2ob4obo
b2o2bo10bo11bobo5b2obob4ob2o2b4ob2o4bob2o$obo12bo16bo7bo10bo10bo2bo8bo
18b2o4b2o$o15b2o12bo8b2o9b2o9b2o3bo8b2o7b2o7bo5bo$bo15bo12b2o29bo3b2o
9bo7bo9bo5bo$2bob2o10bo14bo7b2o9b2o10bo2bo9bo10bob2o3b2o2b3o$3b2obo9b
2o12bo8bo10bo10b2o3bo8b2o8b3obo4bobo$7bo22b2o8bo10bo11b3obo16bo9bo2bo$
8bo7b2o13bo7b2o9b2o9b2o3bo8b2o7b2o7b2o3bo$6bobo8bo11bo32bo2bo10bo16bo
5bo$2obobobo8bo8b2obob4ob2o2b4obob2o2b4obob2o2bo3bobo7bo8b4ob2o3bo5bo$
ob2ob2o9b2o7bob2obo2b2obo2bo2bob2obo2bo2bob2obo2b2o3b2o7b2o7bo2b2obo2b
2o4b2o9$2o3b2o5b2o8bo2bo7b2o$obobo2bo4bo2b2o5b4o8b3o$2bob2o2bo4bobobo
8b2o4bo4bo$bo4b2o4b2o4bo3b2obo2bo2bob2obobo$bobobo5bo3b2obo2bobo3bo3bo
2bo3bo$2bo2bo6b2o3bo3bo3b2o5bo3b2o$3b2o9b3o5b3o8b3o$14bo9bo10bo3$ob2ob
o2b2obo4bo8bob2o7bo6b2o11b2ob2o7bo6b2o4bob2o11bo2b2obob2o2bo2bob2o$2ob
ob4ob2o3bobo7b2ob3o4bobo5bo12bob2obo5bobo5bo5b2ob3o9b4ob2obo3b4obo$4bo
10bo2bo4b2o6bo3bo2bo5bo9b2o6bo4bo2bo5bo2b2o6bo16bo10bo$5b2o7b2o3bo4bo
5b2o2b2o3bo3b2o9bo8bo2b2o3bo3b2o3bo5b2o8b2o6b2o2b2o4b2o$6bo7bo3b2o3bo
10bo3b2o15bo6b2o6b2o3bo3bo17bo10bo$5bo9bo2bo4b2o3bo6bo2bo4b2o9b2o10b2o
2bo5bo2b2o3bo11bo7b2o4bob4o$5b2o7b2o3bo8b3o3b2o3bo3bo18b2o2bo5bo2b2o7b
3o9b2o7bo3b3obo2bo$16b3obo2b2o6bo4b3obo3bo9b2o6bo4bo3b2o6b2o6bo16bo3bo
6b2o$5b2o7b2o3bo3bo6b2o2b2o3bo3b2o9bo8bo2b2o3bo3b2o2bo6b2o8b2o6b2o2b2o
$6bo8bo2bo5bo5bo4bo2bo16bo6b2o2bo5bo2bo4bo5bo10bo17b2o$5bo8bo3bobo4bob
2obo3bo3bobo2b4obob2o4bob2obo5bo5bobo5bob2obo10bob2ob4o2b4obo2bo$5b2o
7b2o3b2o5b2obo4b2o3b2o2bo2bob2obo5b2ob2o4b2o6bo7b2obo10b2obob2o2bo2bo
2bob2o9$2o5b2o7b2o6bo7b2o6bo5b2o7b2o3b2o7b2o7b2o8b2o8b2o25b2o12b2o$o8b
o6bo5bo3b4o2bo6b2o5bo7bo2bo2bobobo4bobobo4bobobo5bobobo5bobobo6b2o5bo
7bo2bo4b3o3bo2bo6b2o$b3o2bo10b3o2bo3bo6bobo11bobo3bobobo4b3o6b3o6b3o9b
o9bo7b2o2bo3b4o2bobobo9bobobo6bo$2b2o2bo3bo7b2o2bo14b3o2bo8b3o2bo5b2o
7b2o7b2o8bobo7bobo6b3o2bo3bo6bo2b3obobo4bo2b3obobo$b2o3bo3b4o3b2o6bo7b
3o3bobobo3b3o58bo5bo20bo$8bo14b2o15bo2bo9b2o37bo9bo5b2o7bo9b2o5b2o5b2o
3b3o$41b2o11bo7b3o7b3o6b3o8bo9bo12b2o10bo13bo$66bo3bo14bo4bob2o7b2obo$
61bo4bo3bo4bo4bo4bo3b2o3bo5bo3b2o$65bo5bo12bo8bobo3bobo$62b2o9b2o6b2o
9bo2bo3bo2bo$62bo11bo6bo11b2o5b2o$62bo11bo6bo$62bo11bo6bo7$2o7b2o2bo2b
ob2o3b2ob2o4bo2b2obob2o2bob2ob2o3bob2ob2o3b2ob2o5bo2b2obob2o2bo2b2obob
2o2bo2b2obob2o4bo6b2obob2o3bob2o2bo4b2ob2o3bob2ob2o3bo2b2obob2o2bo2bob
2o4bo2b2obob2o$obo5bobo2b4obo4bob2obo3b4ob2obo3b2obobobo2b2obobobo3bob
obo4b4ob2obo3b4ob2obo3b4ob2obo4bobo5bob2obobo2b2ob4o3bob2obo3b2obobobo
2b4ob2obo3b4obo5b4ob2obo$bobo3bobo10bo7bo11bo9b2o8b2o3bo2bobo11bo11bo
11bo4bo2bo11bo12bo14b2o10bo10bo11bo$2bobobobo4b2o4b2o7b2o2b2o6b2o22b2o
4bo3b2o6b2o2b2o6b2o2b2o6b2o2b2o3bo9bo8b2o2b2o18b2o6b2o2b2o4b2o3b2o6b2o
$3b2ob2o6bo4bo9bo3bo16b2o8b2o2bo5b2o3bo11bo11bo10bo3b2o8bo10bo2bo15b2o
3bo10bo11bo$5bo8bob2obo4b2obo4bo7b2o2bo2b2o2bo2bo2b2o2bo3bo5bo2bo7b2o
2bo7b2o2bo7b2o3bo2bo8bo10bo5bob2o4bo2b2o2bo2bo7b2o4bob4o3bo7b2o$5bo7b
2o2b2o5bob3o3b2o7bo2b4ob2o3b4ob2o3b2o4bo3b2o7bo2b2o7bo2b2o7bo2b2o3bo6b
o10bo5b3obo4b4ob2o3b2o7bo3b3obo2bo2b2o7bo$3b2ob2o7bo13bo10bo29b2o10bo
11bo11bo5b3obo4bo11b2o3bo5b2o20bo3bo6b2o10bo$2bobobobo4b2o13b2o2b2o6b
2o2b2o8b2o8b2o5bo2b2o6b2o2b2o6b2o2b2o6b2o2b2o3bo4bo13bo3b2o5bo2b2o8b2o
6b2o2b2o9b2o6b2o$bobo3bobo3bo14bo4bo10bo9bo10bo4bo4bo11bo11bo11bo2bo4b
o13bo5bo4bo3bo10bo17b2o3bo$obo5bobo3bo8bob2obo4bob2ob4o4bobob2o4bobob
2o3bobobo5bob2ob4o3bob2ob4o3bob2ob4o2bo3bobo2bobob2obo5bo6bobobo6bobob
2o3bob2ob4o2b4obo2bo3bob2ob4o$2o7b2o2b2o8b2ob2o4b2obob2o2bo3b2ob2obo3b
2ob2obo2b2ob2o5b2obob2o2bo2b2obob2o2bo2b2obob2o2bo2b2o3b2o3b2obob2o5b
2o6b2ob2o4b2ob2obo2b2obob2o2bo2bo2bob2o4b2obob2o2bo10$2b3o3bo$2b2o4bo$
3bo2b2obo$bo$bob2obo2bo$bo4bo2bo$6bobo3$ob2obo2b2obo4bo8bob2o7bo6b2o
11b2ob2o7bo6b2o4bob2o11bob2o7bo2b2obob2o$2obob4ob2o3bobo7b2ob3o4bobo5b
o12bob2obo5bobo5bo5b2ob3o9b2o2bo6b4ob2obo$4bo10bo2bo4b2o6bo3bo2bo5bo9b
2o6bo4bo2bo5bo2b2o6bo11bobo13bo$5b2o7b2o3bo4bo5b2o2b2o3bo3b2o9bo8bo2b
2o3bo3b2o3bo5b2o12b2o5b2o6b2o$6bo7bo3b2o3bo10bo3b2o15bo6b2o6b2o3bo3bo
28bo$5bo9bo2bo4b2o3bo6bo2bo4b2o9b2o10b2o2bo5bo2b2o3bo15b2o5bo7b2o$5b2o
7b2o3bo8b3o3b2o3bo3bo18b2o2bo5bo2b2o7b3o14bo5b2o7bo$16b3obo2b2o6bo4b3o
bo3bo9b2o6bo4bo3b2o6b2o6bo12bo14bo$5b2o7b2o3bo3bo6b2o2b2o3bo3b2o9bo8bo
2b2o3bo3b2o2bo6b2o12b2o5b2o6b2o$6bo8bo2bo5bo5bo4bo2bo16bo6b2o2bo5bo2bo
4bo5bo14bo6bo$5bo8bo3bobo4bob2obo3bo3bobo2b4obob2o4bob2obo5bo5bobo5bob
2obo9b2obobob2o3bob2ob4o$5b2o7b2o3b2o5b2obo4b2o3b2o2bo2bob2obo5b2ob2o
4b2o6bo7b2obo10bob2ob2obo2b2obob2o2bo9$2b2o$2bobo2$4b2o$5bo$7bo$6b2o$
2b3o$o$o4bo$bo$3b2o$4bo$4bo$4bo!
Edit 7: From a Mateon1 soup:

Code: Select all

x = 11386, y = 376, rule = B3/S23
60bo$61bo$59b3o111$139bo$140bo$138b3o9$1422b2o$1421bo2bo16b3o$1421bobo
$1422bo11b2o$1434b2o$6955bo$276bobo6676bo$276b2o322b2o6353bo$277bo321b
o2bo16b3o799b2o$599bobo819b2o$600bo11b2o$612b2o811b2o$269bo1154bobo
9274bo$269bobo1153bo7638bo1635bo$269b2o1139b2o765bo6886bo1635b3o$599b
2o809b2o765bobo6884bo$266bo332b2o459b2o1115b2o$264b2o793bo2bo16b3o814b
2o5809bo$265b2o336b2o454bobo833bo2bo5808bo1695bo$602bobo455bo11b2o821b
obo507b2o4905bo394bo1695bo$603bo468b2o822bo508b2o3998bo906bo2090bo$
588b2o1807bo4007bo906bo706bo$588b2o1807bo7b2o3998bo1613bo286bo313bo$
254bo2142bo7b2o5612bo286bo313bo$254bobo802b2o7245bo313bo1177bo376bo$
143bo110b2o803b2o834b2o7901bo376bo$144bo1750b2o503b2o7396bo376bo298bo$
142b3o918b2o1334bo2bo8071bo$1062bobo385b2o447b2o498bobo2981bobo5088bo$
133bo929bo386b2o446bobo499bo2983b2o$134b2o912b2o849bo3484bo$133b2o913b
2o366b3o465b2o3513bo1555b3o$177bobo1704b2o263b2o3248bo$178b2o1249bo
718bo2bo3247bo1568bo3712bo$178bo1249bobo717bobo4816bobo3711bo$628b2o
798b2o17bo701bo3241bo1575b2o3712bo$628b2o773b2o42bo3943bo1550b2o45bo$
1403b2o42bo3943bo323bo1226b2o45bo$594b3o780b2o4336bo1200b2o71bo$248bo
1128b2o70b3o4263bo1200b2o2146b3o$246b2o359bo1540b2o3244b2o$164bobo80b
2o357bobo783b2ob2o751b2o3243bo2bo1534b2ob2o2141bo1853bo$165b2o439b2o
17bo765bobob2o3996bobo1534bobob2o2140bobo1850bobo$165bo415b2o42bo765bo
760b2o251b3o2986bo1535bo776b3o1366b2o1852b2o$581b2o42bo462b2o297b2o3b
7o752bobo303bobo4466b2o3b7o2113b2o45bo304b3o$154bo400b2o531b2o297b2o
10bo524b2o226bo265bo38b2o4467b2o10bo373b3o405bo1330b2o45bo$155b2o398b
2o70b3o764bo3b2o44b3o477b2o211b2o278bobo38bo3946b3o525bo3b2o780bobo
1376bo317bo$154b2o898b3o337b2o741b2o278b2o17bo4496b2o390bo393b2o298b3o
1393bobo$570b2ob2o1315b3o499b2o42bo3981bo905bobo367b2o45bo564b3o311b3o
792b2o$569bobob2o492bo306b2o54b2o21bo938b2o42bo3980bobo493b2o409b2o
368b2o45bo290bo1007b2ob2o345b2o45bo$569bo496bobo304bo2bo53b2o20bobo
448bo462b2o4049b2o493bo2bo383b2o45bo321b2o71bo289bobo285bo313bo405bobo
b2o345b2o45bo360b3o374b3o$565b2o3b7o489b2o17bo288bobo75b2o30b3o415bobo
461b2o70b3o404b2o3545b2o45bo473bobo57b2o324b2o45bo321b2o361b2o285bobo
311bobo404bo397bo$214bo350b2o10bo463b2o42bo289bo108bo417b2o17bo923b2o
3545b2o45bo474bo58b2o284bo13b2o71bo659b2o45bo264b2o312b2o406b7o764bo
376bo285b3o$214bobo355bo3b2o44b3o416b2o42bo331b2o66bo391b2o42bo459b2ob
2o451bo3528b2o71bo820bo12b2o408b2ob2o318b2o45bo239b2o45bo266b2o45bo
392bo762bobo374bobo$214b2o356b2o441b2o400b2o34b2o422b2o42bo458bobob2o
451bo7b2o2093bo1425b2o890b3o421bobob2o292b2o71bo239b2o45bo266b2o45bo
387bo3b2o331b2ob2o426b2o375b2o298bo$1015b2o70b3o304bo58b2o396b2o527bo
456bo7b2o2093bo2015b2o330b2ob2o389bo297b2o358bo313bo387b2o334bobob2o
401b2o45bo329b2o45bo276bobo$552b2o54b2o21bo762bo6b2o14b2o432b2o70b3o
450b2o3b7o2552bo1440b2ob2o570b2o58bo270bobob2o385b2o3b7o1688bo406b2o
45bo329b2o45bo276b2o$551bo2bo53b2o20bobo397b2ob2o359bo5bo2bo13b2o957b
2o10bo3010b3o978bobob2o629bobo269bo390b2o10bo304b2ob2o1379b7o446bo376b
o251b2o45bo634bo231bo$552bobo75b2o397bobob2o366b2o463b2ob2o512bo3b2o
44b3o404b2o853bo873bo362bo1447bo634bobo265b2o3b7o390bo3b2o303bobob2o
282b2ob2o309b2ob2o785bo1074b2o45bo632bobo229bobo$553bo475bo376bo458bob
ob2o512b2o454bo2bo322b2o528bo873bo362bo479bo927bobo33b2o3b7o628bo266b
2o10bo389b2o307bo286bobob2o308bobob2o481b2o297bo3b2o1121bo172b3o458b2o
230b2o$595b2o428b2o3b7o368bobo457bo311b2o660bobo323b2o528bo873bo362bo
478bobo927b2o33b2o10bo901bo3b2o699b7o279bo313bo486b2o297b2o391b2ob2o
372b2ob2o$595b2o428b2o10bo367bobo2b2o449b2o3b7o304b2o184b2o54b2o21bo
397bo316bo2253b2o928bo41bo3b2o901b2o378b3o329bo279b7o307b7o1170bobob2o
371bobob2o538bo$572bo459bo3b2o44b3o321bo3bobo448b2o10bo488bo2bo53b2o
20bobo713bo7b2o520bo873bo824b2o45bo949b2o610bo676bo324bo3b2o286bo313bo
1169bo376bo299b2ob2o238bobo254b3o$572bo6b2o14b2o22b3o410b2o377bo456bo
3b2o44b3o222b3o217bobo75b2o714bo7b2o520bo873bo373b2o449b2o45bo281b3o
1276bobo273b2o399bo53b2o270b2o285bo3b2o308bo3b2o461b2o707b7o370b7o291b
obob2o238b2o$572bo5bo2bo13b2o782bo488b2o494bo1322bo873bo372bo2bo422b2o
71bo929b2o629bobo272bo2bo452b2o557b2o312b2o465b2o58bo295b2o358bo376bo
290bo218b2o293bo$579b2o44b2o385b2o54b2o21bo287bo36b2o738bo249b2o2526bo
bo423b2o366bo633bo2bo629bo274bobo57b2o1792bobo294b2o353bo3b2o371bo3b2o
291b7o211b2o292bobo$584bo40b2o384bo2bo53b2o20bobo286bo36b2o430b2o54b2o
21bo227bobo248b2o34b2o716b2o1103bo669bo791bobo633bobo57b2o846bo58b2o
1792bobo649b2o375b2o302bo504b2o$583bobo426bobo75b2o755bo2bo53b2o20bobo
226b2o17bo208bo58b2o715bo2bo527b2o573bo298b2o809b2ob2o347b2o635bo58b2o
1283b2o327b2o1086bo1326bo3b2o479b2o242bo202bo$583bobo2b2o423bo361b3o3b
3o464bobo75b2o202b2o42bo208bo6b2o14b2o751bobo527bo2bo572bo297bo2bo807b
obob2o322b2o45bo1958b2o58bo268b2o285b2o312b2o1812b2o483b2o241bobo200bo
bo$584bo3bobo464b2o792bo280b2o42bo208bo5bo2bo13b2o752bo528bobo871bobo
808bo327b2o45bo1563b2o452bobo554b2o312b2o824bo1192b2ob2o518b2o201b2o$
589bo465b2o322bo511b2o211b2o284b2o1298bo566bo306bo805b2o3b7o294b2o71bo
656b2o905b2o58bo393bobo1334bo358bobo1190bobob2o493b2o$557bo474bo346bo
511b2o34b2o175b2o70b3o216bo1861bo1112b2o10bo293b2o728b2o58bo905bobo
393bo194b3o54b2o1081bobo357bobo1190bo498b2o$557bo36b2o436bo6b2o14b2o
22b3o297bo488bo58b2o465bobo1860bo1119bo3b2o1082bobo904bobo590bo54b2o
58bo226b2o312b2o480bobo358bo1192b7o262b2ob2o$557bo36b2o13b3o420bo5bo2b
o13b2o811bo6b2o14b2o226b2ob2o270bobo2b2o2976b2o312b2ob2o769bobo905bo
590bo114bobo225b2o58bo253b2o58bo422bo1559bo260bobob2o$1039b2o44b2o301b
2o478bo5bo2bo13b2o225bobob2o271bo3bobo3288bobob2o770bo460b2o818bo331bo
bo284bobo311bobo1976bo3b2o260bo$553b3o3b3o482bo40b2o301b2o485b2o241bo
281bo444b3o1412b2o1095b2o331bo1236b2o817bobo331bo285bobo311bobo760bo
415bo376bo422b2o265b7o211b2ob2o198b2ob2o$1043bobo834bo233b2o3b7o242bo
1890bo2bo1093bo2bo326b2o3b7o1654bo393bobo618bo313bo760bobo413bobo374bo
bo695bo209bobob2o197bobob2o$557bo485bobo2b2o829bobo232b2o10bo241bo36b
2o451bo1400bobo1095bobo57b2o267b2o10bo746bo905bobo393bo1694bobo413bobo
374bobo690bo3b2o209bo202bo$557bo486bo3bobo828bobo2b2o235bo3b2o44b3o
194bo36b2o450bobo1400bo1097bo58b2o274bo3b2o745bobo904bobo705bo1383bo
415bo376bo250b3o438b2o214b7o196b7o$557bo491bo367b2o461bo3bobo234b2o
734b2o2834b2o673bo75bobo509b2o394bo705bobo285bo313bo746b3o1079bo661bo
202bo$1017bo399b2o466bo478b3o3b3o459b2o45bo2060b3o1425bo76bo510b2o
1100bobo284bobo311bobo385b3o359bo1078bo657bo3b2o197bo3b2o$237bo328b2o
449bo36b2o797bo247b2o54b2o21bo651b2o45bo2520b2o271b2o693bo1690bo285bob
o311bobo387bo358bo429bo1307b2o201b2o$236b2o328b2o449bo36b2o13b3o309b2o
470bo36b2o208bo2bo53b2o20bobo186bo437b2o71bo2073bo446b2o58bo211bo2bo
1244b2o1424bo313bo387bo788bobo$236bobo1142b2o4b3o463bo36b2o209bobo75b
2o187bo437b2o357b3o1784bobo504bobo211bobo57b2o629b3o3b3o547b2o4b3o
2908bobo$1013b3o3b3o1080bo265bo1326b3o871b3o380b2o505bobo212bo58b2o
4103bo$179b3o1667b3o3b3o286b2o675b2ob2o352bo1748b2o45bo485bo907bo$181b
o48b3o362b2o420bo1126b2o34b2o195b2o441bobob2o351bobo528bo873bo344b2o
45bo1393bo1310b2o$180bo49bo364b2o420bo835bo267bo58b2o195b2o441bo356b2o
528bobo871bobo317b2o71bo741b2o650bo1310b2o$231bo785bo835bo267bo6b2o14b
2o670b2o3b7o324b2o45bo507b2o872b2o318b2o536bo276b2o58bo1507b2o$190b2o
367b2o1292bo267bo5bo2bo13b2o670b2o10bo323b2o45bo482b2o45bo826b2o45bo
834bobo334bobo599b2o905b2o$189bobo367b2o4b3o458b2o1100b2o339b2o352bo3b
2o297b2o71bo482b2o45bo826b2o45bo312b2ob2o441bo75bobo334bobo599b2o1612b
2o$191bo834b2o834b2o269bo272b2o60b2o353b2o301b2o528b2o71bo800b2o71bo
311bobob2o441bo76bo336bo1931b2o281b2o285b2o$1862b2o268bobo271b2o62bo
1185b2o607b3o262b2o383bo446bo2345b2o568b2o$2132bobo2b2o664b2o336b2ob2o
1765b2o3b7o2390b2o$2133bo3bobo230b2o430bo2bo334bobob2o525b2ob2o602bo
266b2ob2o361b2o10bo434b3o3b3o388bo650b2o905b2o$165b2o76b2o810b2o1081bo
231b2o4b3o424bobo57b2o275bo529bobob2o601bobo264bobob2o368bo3b2o830bobo
649b2o1612b2o$164bobo76bobo809b2o834b2o213bo697bo58b2o271b2o3b7o522bo
606b2o265bo373b2o442bo315bo75bobo2263b2o285b2o312b2o$166bo76bo1647b2o
213bo36b2o701b2o288b2o10bo517b2o3b7o574b2o45bo240b2o3b7o810bo315bo76bo
614b2o1935b2o312b2o$1019b2o1085bo36b2o701b2o295bo3b2o517b2o10bo573b2o
45bo240b2o10bo345b2o462bo315bo691b2o4b3o3835b3o$1019b2o4b3o827b2o966bo
319b2o528bo3b2o547b2o71bo247bo3b2o344bo2bo5315bo$1855b2o4b3o238b3o3b3o
712bo6b2o14b2o825b2o551b2o319b2o349bobo57b2o411b2o301b3o3b3o4532bo$
1104b3o1716bo5bo2bo13b2o275b2o1774bo58b2o411b2o$177b2o925bo1001bo723b
2o290bo2bo527b2o586b2ob2o281b2o1149bo2589b3o$176bobo926bo1000bo728bo
287bobo57b2o467bo2bo584bobob2o280bo2bo1148bo2591bo$178bo1927bo727bobo
287bo58b2o468bobo57b2o525bo286bobo57b2o352b2o735bo2590bo1546b3o$2834bo
bo2b2o325b2o486bo58b2o521b2o3b7o280bo58b2o352b2o58bo398b2o1497bo2918bo
$2115b2o718bo3bobo43bo280b2o528b2o538b2o10bo751bobo397b2o285b2o1210b2o
1709b3o1204bo$2115b2o723bo43bobo256bo552b2o545bo3b2o751bobo684b2o1209b
obo1711bo$2808bo75bobo256bo6b2o14b2o505bo569b2o302bo22b2o429bo362b2o
3245bo$2808bo76bo13b2o242bo5bo2bo13b2o505bo6b2o14b2o58bo790bo6b2o14b2o
58bo733b2o4b3o$169b3o2636bo90b2o249b2o521bo5bo2bo13b2o57bobo465b2o322b
o5bo2bo72bobo$171bo1972b2o1009bo524b2o73bobo464bo2bo328b2o73bobo348bo
735b2o$170bo1973b2o658b3o3b3o341bobo528bo70bo466bobo57b2o345bo348bobo
734b2o$3154bobo2b2o523bobo537bo58b2o618bo75bobo$2108b2o698bo88b3o255bo
3bobo43bo478bobo2b2o575b2o635bo76bo699b2o$2108b2o4b3o691bo82b2o267bo
43bobo478bo3bobo43bo530b2o341bo293bo776b2o4b3o$2808bo81bo2bo234bo75bob
o483bo43bobo506bo364bobo$2891b2o235bo76bo13b2o437bo75bobo506bo6b2o14b
2o58bo205bo75bobo288b3o3b3o$2817b2o309bo90b2o437bo76bo507bo5bo2bo13b2o
57bobo204bo76bo$2817b2o839bo591b2o73bobo204bo370bo$3124b3o3b3o1122bo
70bo576bo$3654b3o3b3o591bobo271b3o3b3o366bo$3128bo88b3o1034bobo2b2o$
136b3o2707b2o280bo82b2o445bo596bo3bobo43bo226bo379b2o$138bo2707b2o280b
o81bo2bo444bo601bo43bobo225bo379b2o$137bo3073b2o445bo569bo75bobo225bo$
2810b2o325b2o1089bo76bo$2810b2o4b3o318b2o528b2o559bo312b2o$3667b2o872b
2o398b2o$246b2o3976b3o3b3o708b2o$245b2o$247bo2918b2o59b2o999bo676b2o$
3166b2o58b2o468b2o530bo341b2o333b2o4b3o$3228bo467b2o530bo341b2o$3130b
2o$3130b2o4b3o521b2o575b2o295b2o$239b3o3418b2o4b3o568b2o295b2o4b3o$
239bo$240bo2$4266b2o$4266b2o2$4230b2o$4230b2o4b3o4$246b3o$246bo$247bo
3$4601bo$4600b2o$4600bobo7$4297b3o$4297bo$4298bo85$3o$2bo$bo!
Edit 8: Another one down:

Code: Select all

x = 434, y = 49, rule = B3/S23
415bo7bobo$414bo8b2o$414b3o7bo2$241bo$241bobo$241b2o3$28bo110bo271bo$
26b2o112bo271bo$27b2o109b3o183bo85b3o$152b2o170b2o$151bobo76b2o92b2o$b
o148bobo76bobo93bo74bo$2bo147b2o79bo16b2o94bo55b2o$3o244bobo86b2o6bobo
53b2o20b2o$233b2o7bo3bobo86bobo6b2o55bo20bobo$234b2o5bobo2b2o82bo3bobo
85bo$141b3o89bo7bobo85bobo2b2o76b2o$143bo98bo86bobo79bobo$8bo133bo187b
o75bo3bobo3bo$8b2o395bobo2b2o3bobo$7bobo11bo383bobo6bo2bo$20b2o384bo8b
2o$20bobo$335b3o$337bo$336bo10$431b3o$424b2o5bo$423b2o7bo$425bo2$397b
2o$384b3o9bobo$386bo11bo$385bo39b2o$425bobo$425bo!
Last edited by wwei47 on August 8th, 2021, 8:23 pm, edited 3 times in total.
Help me find high-period c/2 technology!
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Most wanted periods: 76,116

User avatar
iNoMed
Moderator
Posts: 607
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » August 8th, 2021, 10:44 am

Got a little bored, ended up synthesising a period-doubled Coe's P8 in 33 gliders:

Code: Select all

x = 458, y = 22, rule = B3/S23
154bo187bo34bo$10bo143bobo185bobo33bo$8bobo143b2o78bo102bo4b2o32b3o3bo
$9b2o224b2o66bo34bo44bo$17bo51bo83bo4bo75b2o12bo52bobo32b3o42b3o$17bob
o44b2o3bobo82b2obo90bobo51b2o91b2o46b2o5b2o$17b2o44bobo3b2o48bo33b2o2b
3o88b2o145b2o46bobo4b2o$2bo62bo51b2o133bobo45b2o80b3o59bo$obo109bo5b2o
74b2o44b2o10b2o42bo3bobo81bo$b2o71b2o35bobo41b2o37bobo43bobo10bo38b2ob
obo2bo38b2obo2bo37bo12b2obo2bo48b2obo2bo$26bo46b2o36b2o42b2o38b2o44b2o
49b2ob2o42b2ob4o50b2ob4o48b2ob4o$26bobo46bo$13bobo10b2o41b2o40b2o4b3o
35b4o36b4o42b4ob2o44b5o42b5o52b5o50b5o$14b2o3bo48bo2bo38bo2bo3bo36bo3b
o35bo3bo41bo3bobobo42bo5bo40bo5bo50bo5bo39b3o6bo5bo$10bo3bo4bobo47b2o
40b2o5bo36b2o38b2o5b2o37b2o4bo44b2o2b2o41b2o2b2o51b2o2b2o41bo7b2o2b2o$
11bo7b2o43b2obobo36b2obobo38b2obobo34b2obobo5b2o33b2obobo45b2obobo41b
2obobo51b2obobo36b3o6bo3b2obobo$9b3o52bob2o2bo35bob2o2bo37bob2o2bo33bo
b2o2bo6bo32bob2o2bo12b2o30bob2o2bo40bob2o2bo50bob2o2bo37bo10bob2o2bo$
69b2o40b2o42b2o38b2o44b2o11b2o36b2o45b2o55b2o36bo16b2o$16bo239bo$10bo
4bo13b2o217b3o$11bo3b3o11bobo216bo$9b3o17bo219bo!
Edit: And here it is in 30G:

Code: Select all

x = 418, y = 22, rule = B3/S23
302bo34bo$10bo291bobo33bo$8bobo286bo4b2o32b3o3bo$9b2o185bo66bo34bo44bo
$17bo51bo124bobo11bo52bobo32b3o42b3o$17bobo44b2o3bobo123b2o11bobo51b2o
91b2o46b2o5b2o$17b2o44bobo3b2o48bo88b2o145b2o46bobo4b2o$2bo62bo51b2o
93bobo45b2o80b3o59bo$obo109bo5b2o92b2o42bo3bobo81bo$b2o71b2o35bobo41b
2o44b2o10bo38b2obobo2bo38b2obo2bo37bo12b2obo2bo48b2obo2bo$26bo46b2o36b
2o42b2o44b2o49b2ob2o42b2ob4o50b2ob4o48b2ob4o$26bobo46bo$13bobo10b2o41b
2o40b2o4b3o35b4o42b4ob2o44b5o42b5o52b5o50b5o$14b2o3bo48bo2bo38bo2bo3bo
36bo3bo41bo3bobobo42bo5bo40bo5bo50bo5bo39b3o6bo5bo$10bo3bo4bobo47b2o
40b2o5bo36b2o5b2o37b2o4bo44b2o2b2o41b2o2b2o51b2o2b2o41bo7b2o2b2o$11bo
7b2o43b2obobo36b2obobo38b2obobo5b2o33b2obobo45b2obobo41b2obobo51b2obob
o36b3o6bo3b2obobo$9b3o52bob2o2bo35bob2o2bo37bob2o2bo6bo32bob2o2bo12b2o
30bob2o2bo40bob2o2bo50bob2o2bo37bo10bob2o2bo$69b2o40b2o42b2o44b2o11b2o
36b2o45b2o55b2o36bo16b2o$16bo199bo$10bo4bo13b2o177b3o$11bo3b3o11bobo
176bo$9b3o17bo179bo!
Edit 2: Got it in 29:

Code: Select all

x = 387, y = 27, rule = B3/S23
150bobo$151b2o27bobo$151bo28b2o$181bo2$271bo34bo$10bo260bobo33bo$8bobo
255bo4b2o32b3o3bo$9b2o221bo34bo44bo$17bo51bo113bo46bobo32b3o42b3o$17bo
bo44b2o3bobo111bobo45b2o91b2o46b2o5b2o$17b2o44bobo3b2o48bo63b2o139b2o
46bobo4b2o$2bo62bo51b2o110b2o80b3o59bo$obo109bo5b2o57bo47bo3bobo81bo$b
2o71b2o35bobo51b2o9bo44b2obobo2bo38b2obo2bo37bo12b2obo2bo48b2obo2bo$
26bo46b2o36b2o52b2o9b3o42b2ob2o42b2ob4o50b2ob4o48b2ob4o$26bobo46bo$13b
obo10b2o41b2o40b2o4b3o45b4o52b5o42b5o52b5o50b5o$14b2o3bo48bo2bo38bo2bo
3bo46bo3bo51bo5bo40bo5bo50bo5bo39b3o6bo5bo$10bo3bo4bobo47b2o40b2o5bo
46b2o54b2o2b2o41b2o2b2o51b2o2b2o41bo7b2o2b2o$11bo7b2o43b2obobo36b2obob
o48b2obobo50b2obobo41b2obobo51b2obobo36b3o6bo3b2obobo$9b3o52bob2o2bo
35bob2o2bo47bob2o2bo12b2o35bob2o2bo40bob2o2bo50bob2o2bo37bo10bob2o2bo$
69b2o40b2o52b2o12bobo39b2o45b2o55b2o36bo16b2o$16bo162bo$10bo4bo13b2o$
11bo3b3o11bobo$9b3o17bo!
Last edited by iNoMed on August 8th, 2021, 1:29 pm, edited 1 time in total.

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Synthesising Oscillators

Post by Kazyan » August 8th, 2021, 12:38 pm

All but two cuphooks would likely be solved automatically if transfer.py worked on oscillators. Luckily, using the component that mniemiec pointed out, all but two of them can be converted from a still life into the relevant cuphook. It may be worth running transfer.py to take these still lifes apart with known components:

Code: Select all

x = 62, y = 64, rule = B3/S23
23b2o8b2o9b2o$23bobo7bobo8bobo$25bo2b2o5bo3b2o5bo$25bobobo5bobo2bo5bob
2obo$22b2obobo4b2obob2o4b2obobob2o$22b2obob2o3b2obobo5b2obobo$25bo2bo
6bobo8bobo$25b2o8b2o9b2o3$b2ob2o17b2ob2o5b2obo6b2o2b2o5b2o2bo$ob2obo
17b2obobo4b2ob3o4b2o2bobo4b2o2b3o$o28bo9bo10bo10bo$b7o15b7o3b7o3b7o4b
7o$8bo13bo9bo9bo10bo$3b2o2b2o13b2o2b2o4b2o2b2o4b2o2b2o5b2o2b2o$3b2o21b
2o8b2o8b2o9b2o4$b2o7b2o7b2o7b2o8b2o8b2o$bobob2o3bobob2o3bobob2o3bobob
2o4bobo2b2o3bobo2b2o$3bobo6bobo6bobo6bobo7bo3bo5bo3bo$3bobo6bobo6bo2bo
5bo3bo5bobo7bobo$2obob2o2b2obob2o2b2obob2o2b2obo2b2o2b2obob2o3b2obob2o
$2obobo3b2obo2bo2b2obobo3b2obobo4b2obobo4b2obo2bo$3bobo6bobo6bobo6bobo
7bobo7bobo$3b2o7b2o7b2o7b2o8b2o8b2o23$23bob2o$23b2obo$29bo$23b7o$22bo$
22b2o2b2o$26b2o2$33bo$31b2o$32b2o$22b2o4b2o$21bobo3b2o$23bo5bo!
Here is a way to add the fragment to caterers and jams, assuming that this constellation is trivial. It is not optimized for cost, but for clearance, such that it can be added to more objects in the future.

Code: Select all

x = 171, y = 83, rule = LifeHistory
.A49.A49.A49.A$2.A49.A49.A49.A$3A47.3A47.3A47.3A3$3.A.A47.A.A47.A.A
47.A.A$4.2A48.2A48.2A48.2A$4.A49.A49.A49.A$16.2A48.2A100.2A$4.2A4.2A
4.2BA35.2A4.2A4.2BA35.2A4.2A5.A2.2B32.2A4.2A5.A2.A$3.A2.A3.2A3.A.B35.
A2.A3.2A3.A.B35.A2.A3.2A3.A3B4A30.A2.A3.2A3.A2BA.A$3.A2.A7.BA3BA.B31.
A2.A7.BA3BA33.A2.A7.BA3BA.B31.A2.A7.BA3BA$4.2A4.2A3.A3B4A31.2A4.2A3.A
2BA.A33.2A4.2A3.A.B36.2A4.2A3.A.B$10.2A5.A2.2B38.2A5.A2.A39.2A4.2BA
41.2A4.2BA$68.2A46.2A48.2A$6.A3.2A44.A3.2A44.A3.2A44.A3.2A$5.A.A2.A.A
42.A.A2.A.A42.A.A2.A.A42.A.A2.A.A$6.2A3.A44.2A3.A44.2A3.A44.2A3.A2$.
2A48.2A48.2A48.2A$2.2A6.2A40.2A6.2A40.2A6.2A40.2A6.2A$.A7.A.A39.A7.A.
A39.A7.A.A39.A7.A.A$11.A49.A49.A49.A8$.A49.A49.A49.A$2.A49.A49.A49.A$
3A47.3A47.3A47.3A3$3.A.A47.A.A47.A.A47.A.A$4.2A48.2A48.2A48.2A$4.A49.
A49.A49.A2$4.2A4.2A4.2A36.2A4.2A4.2A36.2A4.2A42.2A4.2A6.2A$3.A2.A3.2A
4.2BA34.A2.A3.2A4.2BA34.A2.A3.2A5.A2.2B31.A2.A3.2A5.A2.A$3.A2.A8.A.B
35.A2.A8.A.B35.A2.A8.A3B4A30.A2.A8.A2BA.A$4.2A4.2A2.BA3BA.B32.2A4.2A
2.BA3BA34.2A4.2A2.BA3BA.B32.2A4.2A2.BA3BA$10.2A3.A3B4A37.2A3.A2BA.A
39.2A3.A.B42.2A3.A.B$17.A2.2B45.A2.A45.2BA47.2BA$6.A3.2A44.A3.2A6.2A
36.A3.2A4.2A38.A3.2A4.2A$5.A.A2.A.A42.A.A2.A.A42.A.A2.A.A42.A.A2.A.A$
6.2A3.A44.2A3.A44.2A3.A44.2A3.A2$.2A48.2A48.2A48.2A$2.2A6.2A40.2A6.2A
40.2A6.2A40.2A6.2A$.A7.A.A39.A7.A.A39.A7.A.A39.A7.A.A$11.A49.A49.A49.
A8$.A49.A49.A49.A$2.A49.A49.A49.A$3A47.3A47.3A47.3A3$3.A.A47.A.A47.A.
A47.A.A$4.2A48.2A48.2A48.2A$4.A49.A49.A49.A2$4.2A4.2A42.2A4.2A42.2A4.
2A42.2A4.2A$3.A2.A3.2A4.2A35.A2.A3.2A4.2A35.A2.A3.2A41.A2.A3.2A6.2A$
3.A2.A9.2BA34.A2.A9.2BA34.A2.A10.A2.2B31.A2.A10.A2.A$4.2A4.2A3.A.B36.
2A4.2A3.A.B36.2A4.2A3.A3B4A31.2A4.2A3.A2BA.A$10.2A2.BA3BA.B38.2A2.BA
3BA40.2A2.BA3BA.B38.2A2.BA3BA$15.A3B4A42.A2BA.A44.A.B47.A.B$6.A3.2A5.
A2.2B34.A3.2A5.A2.A35.A3.2A4.2BA37.A3.2A4.2BA$5.A.A2.A.A42.A.A2.A.A5.
2A35.A.A2.A.A3.2A37.A.A2.A.A3.2A$6.2A3.A44.2A3.A44.2A3.A44.2A3.A2$.2A
48.2A48.2A48.2A$2.2A6.2A40.2A6.2A40.2A6.2A40.2A6.2A$.A7.A.A39.A7.A.A
39.A7.A.A39.A7.A.A$11.A49.A49.A49.A!
EDIT: This component entrices some tongs, leaving only one unsolved:

Code: Select all

x = 75, y = 18, rule = B3/S23
5bobo57bobo$6b2o58b2o$6bo59bo$o9bo49bo9bo$b2o6bo51b2o6bo$2o7b3o48b2o7b
3o2$2bo59bo$2b2o58b2o$bobo57bobo9b2o$6b2o3bo54b2o3bo2bo$7bo2bobo54bo2b
ob2o$7bobo2bo54bobo2bo$8bo3b3o53bo3bo$2bo6b3o3bo46bo6b3o$2b2o7bo2bo47b
2o7bobo$bobo7bobo47bobo8b2o$12bo!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

mniemiec
Posts: 1590
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Post by mniemiec » August 8th, 2021, 2:03 pm

Kazyan wrote:
August 8th, 2021, 12:38 pm
All but two cuphooks would likely be solved automatically if transfer.py worked on oscillators. Luckily, using the component that mniemiec pointed out, all but two of them can be converted from a still life into the relevant cuphook. It may be worth running transfer.py to take these still lifes apart with known components: ...
When I posted my initial abridged list of 30 unsolved oscillators, I had already run the initial 90 through my expert system, which builds patterns from smaller simpler ones (I suppose it's an earlier and cruder version of transfer.py), and those 30 were the only ones that remained unsolved (also removing a few others for which explicit manual syntheses had been created). When looking for "can it be synthesized", I usually just look for "any possible synthesis path", rath than the cheapest one, so it's just an existence proof.
Kazyan wrote:
August 8th, 2021, 12:38 pm
Here is a way to add the fragment to caterers and jams, assuming that this constellation is trivial. It is not optimized for cost, but for clearance, such that it can be added to more objects in the future. ...
Very nice!
Kazyan wrote:
August 8th, 2021, 12:38 pm
EDIT: This component entrices some tongs, leaving only one unsolved: ...
Excellent! This will probably greatly reduce the costs of most trice tongs variants, especially the more exotic ones.

EDIT: Complete 14-glider instantition of component to add the fragment:

Code: Select all

x = 164, y = 23, rule = B3/S23
141bo$140bo$140b3o3$108bo28bobo$108bobo26boo$108boo28bo$5boo5bo22boo
28boo28boo28boo28boo$4bo7bobo19bo6boo21bo6boo10bo10bo6boo5bo15bo6boo4b
oo15bo$7bo4boo23bo3boo24bo3boo9bo14bo3boo4boo18bo3boo3bobbo17bo$3bo3bo
25bo3bo25bo3bo14b3o8bo3bo9bobo13bo3bo8bobbo13bo3bo3boo$4o3bo4boo16b4o
3bo3boo17b4o3bo3boo17b4o3bo3boo17b4o3bo3boo4boo11b4o3bobboo$5bo6bobo
20bo5boo22bo5boo8bo13bo5boo22bo5boo22bo4b3o$12bo32bo34boo81bo$44bo26b
oo7bobo18boo3bo24boo3bo25boo$44b3o23bobo27bobobbobo22bobobbobo$39b3o
29bo29bo3boo24bo3boo$41bo35b3o$40bobboo32bo62boo$43bobo32bo52boo6boo$
43bo87bobo7bo$131bo!

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 8th, 2021, 2:32 pm

Another one down:

Code: Select all

x = 606, y = 41, rule = B3/S23
70bo$68b2o$69b2o$58bobo$59b2o$12bo46bo$11bo$11b3o5$113b3o217b2o$333bo
3b2o$338bo95b2o164b2o$331b7o96bo3b2o107b2o51bo3b2o$3o66b2o259bo108bo
107bo3b2o52bo$2bo66b2o46b2o109bo13b3o81bo4b3o2b2o94b7o113bo45b7o$bo
115b2o8bo101b2o95bo6bo2b2o93bo113b7o45bo$125b2o101b2o24bo71bo100bo4b3o
2b2o105bo53b3o2b2o$126b2o124b2o66b2o8b2o95bo6bo2b2o106b3o2b2o48bo2b2o$
253b2o64bo2bo7b2o95bo119bo2b2o$246b2o72bobo13bo4b2o78b2o8b2o164b2o$
246b2o73bo13bobo3b2o77bo2bo7b2o111b2o51b2o$335b2o84bobo13bo4b2o100b2o$
422bo13bobo3b2o106bo4b2o$436b2o111bobo3b2o$549b2o2$118b3o131b2o$120bo
130bobo336b3o$119bo104bo27bo179b3o157bo$224b2o206bo158bo$223bobo207bo
3$555b2o$554b2o$261bo294bo$260b2o$260bobo!
EDIT: Another:

Code: Select all

x = 684, y = 42, rule = B3/S23
534bo$534bobo$534b2o$518bo$516bobo$517b2o2$272bo9bo$270bobo7b2o$271b2o
8b2o60bo262bo$344bo259bobo$342b3o260b2o$352bo160bo99b2o$351bobo81bo76b
obo8bobo87b2o$352bo81bobo76bo9b2o$435bo88bo$510b2o$268b3o161b2o76b2o$
175bo94bo161b2o11bo165bo$175bobo91bo75b2o97bo165bobo$6bobo166b2o167bob
o97b3o163bobo8b2o34bo$6b2o338bo264bo8bobo32bobo$7bo160bo451bo35b2o$
166bobo123bo74bo149b2o9bo88b2obo$167b2o123bo74bo82bo66b2o9bo74b2o12bo
2bo2bo57b2o$288bo3bo70bo3bo82bo73bo3bo74b2o13bobob2o56bobo$287bobo72bo
bo81bo3bo72bobo91b2obo59bo$288b2o4b3o66b2o4b3o73bobo76b2o4b3o84bo2bo
56b2obo$446b2o4b3o163b2o43b2o12bo2bo2bo$98bo83bo109bo74bo65b3o92bo134b
2o13bobob2o$3o93bobo83bo109bo74bo67bo14bo77bo148b2obo$2bo94b2o8bo74bo
109bo74bo66bo15bo77bo148bo2bo$bo105bo342bo227b2o$107bo76b3o$523bo$103b
3o3b3o54b2o14bo316b3o20b2o$165bobo14bo318bo20bobo$107bo59bo14bo317bo$
107bo$107bo411b3o$519bo$520bo!
Edit 2: Another:

Code: Select all

x = 452, y = 29, rule = B3/S23
370bo$371bo$79bo129bo159b3o$77bobo127bobo$78b2o87bo40b2o$153bo12bo51bo
$152bobo11b3o48bobo$152bo2bo61bo2bo100bo$153b2o63b2o47bo47b2o3bobo52bo
$2o259b2o3bobo41bo4b2o3bo2bo51bo4b2o$b2o258b2o3bo2bo41bo9b2o52bo4bobob
2o60b2o$o9b2o255b2o40b3o70bob2o60bobob2o$10bobo192b3o12b2o160bo65bob2o
$10bo68b2o5b3o60b2o19b3o34bo6b2o3bo2bo156bo2bob2o62bo$80bo5bo63bo19bo
35bo8bo4b2o101b2o54b2obo2bo59bo2bob2o$80bobo4bo62bobo18bo43bobo51b2o
46b2o3bo2bo56bobo60b2obo2bo$81b2o68b2o63b2o45b2o3bo2bo46bo4b2o57b2o64b
obo$264bo4b2o47bobo56b2o69b2o$164b3o97bobo52b2o55bo2bo63b2o$164bo100b
2o58b2o49bobo63bo2bo$165bo141bo17b2o50bo64bobo$307b2o134bo$306bobo2$
267b3o$269bo$268bo8b2o157b3o$277bobo158bo$277bo159bo!
Edit 3: Another:

Code: Select all

x = 769, y = 152, rule = B3/S23
obo$b2o$bo76$85bo$86bo$84b3o3$90bo$88bobo$89b2o2$108bo$107bo257b2o$
107b3o254bo2bo$364bobo$365bo3$104bo$102b2o$103b2o$518b2o$356b3o159b2o
133b2o$358bo294b2o$357bo15b2o$373b2o2$522bo$100b2o419bobo$99bobo420b2o
$101bo20bo254bo267b3o$121b2o253bobo134b3o131bo$121bobo253b2o136bo130bo
$514bo$764b2o$761b2o2bo$762b3o$760bo$527b2o231b7o$524b2o2bo133b2o103bo
$525b3o131b2o2bo98bo3b2o$86bo295b2o139bo136b3o99b2o$86b2o291b2o2bo139b
7o128bo$85bobo292b3o147bo127b7o$378bo146bo3b2o134bo$378b7o140b2o133bo
3b2o$385bo274b2o$380bo3b2o$380b2o17$767b2o$91b2o674b2o$90bobo$92bo$
530b2o$530b2o133b2o$665b2o$385b2o$385b2o371b3o$760bo$759bo!
Edit 4: Another:

Code: Select all

x = 2843, y = 215, rule = B3/S23
1821bo$1819bobo$1820b2o24$2029bo$2027b2o$2028b2o37$1938bo$1937bo$1937b
3o$1907bo$1908bo$1906b3o9$2390bo263bo$2388bobo261bobo$1912bobo474b2o
262b2o$1913b2o$1913bo3$1914bobo501b2o$1915b2o8bobo489bo2bo$1915bo9b2o
491bobo242b2o$1926bo492bo242bo2bo$2663bobo$2402b3o259bo5$2421b2o$2420b
obo$2420bobob2o240b2o170b2o$2419b2obo2bo239bobo169bobo$2420bobo242bobo
b2o166bobob2o$1923bo496bobo241b2obo2bo165b2obo2bo$1924b2o493b2obobo
240bobo169bobo$1923b2o498b2o240bobo169bobo$1928b2o734b2obobo166b2obobo
$1928bobo737b2o170b2o$1929bo2$1936b2o7b2o467b2o$1935bo2bo5bo2bo466b2o$
1936b2o7b2o712b2o170b2o$2659b2o170b2o$1941bo$1940bobo$1911b2o27bobo$
1911b2o28bo$1923bo$1923bo$1923bo6$1936bo880b2o$1936bo879bobo$1936bo
881bo2$1932b3o$1508b2o$1508bobo$1483bo25bo$1172b2o310bo$1172bobo307b3o
31b2o7b2o$1173bo341bo2bo5bo2bo$1516b2o7b2o$1180b2o7b2o$1159bo19bo2bo5b
o2bo329bo$1160b2o18b2o7b2o329bobo$1159b2o359bobo$1185bo335bo$1184bobo
316bo$1184bobo316bo$600bo584bo317bo$599bo224b2o659b3o$599b3o222bobo
660bo$825bo660bo$1157bo$832b2o7b2o314b2o$595bo235bo2bo5bo2bo312bobo
357bo$582b2o10bobo235b2o7b2o673bo$582bobo9bobo919bo$583bo11bo241bo342b
o$836bobo341bo331b3o$590b2o7b2o235bobo341bo$589bo2bo5bo2bo235bo$590b2o
7b2o575b3o2$o594bo$b2o591bobo$2o592bobo$595bo$317bo$316bo$316b3o2$299b
2o539bo$299bobo536b2o$300bo538b2o$7b3o$7bo$8bo$827b2o$307b2o519b2o$
308b2o517bo$307bo3$830b2o$829bobo$831bo32$1840b2o$1839bobo$1841bo!
Edit 5: Another:

Code: Select all

x = 732, y = 117, rule = B3/S23
730bo$729bo$729b3o6$723bo$592bo129bobo$591bobo128bobo$591bobo129bo$
430bo161bo$429bobo151b2o$429bobo151b2o$333bo96bo293b2o$332bobo86b2o
301bobo$332bobo86b2o170b3o125b2obobo$234bo11bo86bo387bo2bob2o$232bobo
10bobo76b2o254b2o9bo5bo126bo2bo$7bo87bo137b2o10bobo76b2o105b3o146b2o9b
o5bo126bobo$6bo89bo149bo71bo272bo5bo124bobob2o$6b3o85b3o219bobo99b2o9b
o5bo286b2o$317b2o15b3o81b2o9bo5bo157b3o$429bo5bo$332bo5bo261b3o$247b3o
82bo5bo92b3o$230b2o100bo5bo$229bobo13bo5bo$231bo13bo5bo82b3o$91b3o151b
o5bo62b2o$2o91bo219bobo$b2o89bo7b3o144b3o65bo$o$98bo5bo341bo$98bo5bo
340b2o$98bo5bo340bobo$435b2o$100b3o333b2o131b2o$435bo132bobo$570bo43$
523b3o$525bo$524bo$651b2o$650b2o$652bo26$661b3o$661bo$662bo!
Edit 6: With help from iNoMed and Blinkerspawn:

Code: Select all

x = 580, y = 36, rule = B3/S23
141bo68bo$142b2o67b2o$141b2o67b2o$155bo58bo$153b2o60b2o$154b2o58b2o8bo
bo$224b2o$225bo$576bo$82bo491b2o$81bo493b2o$81b3o$287bo69bo69bo69bo69b
o$11bo136bo137bobo67bobo67bobo67bobo67bobo$11bobo133bobo66b2o68bobo67b
obo67bobo67bobo67bobo$11b2o134b2o68bo69bo69bo69bo69bo69bo$4bo69bo69bo
69b3o67b3o67b3o67b3o47bobo17b3o67b3o$2b3o67b3o2b2o63b3o2b2o63b3o67b3o
67b3o49bobo15b3o50b2o15b3o67b3o$bo69bo5b2o62bo5b2o8bo53bo69bo69bo53b2o
14bo53bo15bo69bo$bob2o66bob2o66bob2o11bo54bob2o66bob2o66bob2o50bo15bob
2o66bob2o66bob2o$2obo66b2obo66b2obo12b3o51b2obo66b2obo66b2obo66b2obo
53bobo10b2obo66b2obo14b2o$6bo69bo69bo69bo69bo69bo69bo51b2o10bo5bo63bo
5bo10b2o$5b2o7b2o59b2o68b2o68b2o68b2o68b2o68b2o51bo9bobo4b2o60b2obo4b
2o12bo$14bobo65b3o69b2o195b2o65b2ob2o65b2o66bo2bo$14bo67bo71bobo194b2o
64bobob2o134b2o$83bo70bo263bo2$277b3o64b2o$279bo63bobo11b2o$278bo66bo
11bobo48bo$286b3o68bo50b2o17b3o49b2o72bo$286bo120bobo17bo52b2o71b2o$
287bo135b2o3bo50bo72bobo$422bobo140bo$424bo139b2o$564bobo!
Edit 7: Managed to find a browser tab with the old post contents, restoring now.
Last edited by wwei47 on August 8th, 2021, 10:29 pm, edited 1 time in total.
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Synthesising Oscillators

Post by Kazyan » August 8th, 2021, 9:00 pm

Here's a synthesis for the volatile 22-bit p3, starting from a known still life:

Code: Select all

x = 174, y = 53, rule = LifeHistory
62.A59.A$62.A.A57.A.A$62.2A58.2A$48.A$46.A.A$47.2A5$11.A92.2A$11.A.A
89.A2.A$11.2A91.2A2$57.A49.A$56.A.A47.A.A$56.2A48.2A2.2A$.A108.ABA16.
A$.2A107.A3B15.A.A$A.A108.4B14.2A$112.4B$113.4B$114.4B$115.4B$116.4B$
117.4B7.A42.A$118.4B4.2A43.A.A$119.4B4.2A42.2A$120.4B45.A$121.4B43.A.
A$17.A49.A49.A4.4B42.A.A$16.A.A47.A.A47.A.A4.3B43.A$15.A.A47.A.A47.A.
A6.2B33.3A3.A$15.A49.A49.A9.B33.2A4.A$16.A49.A49.A43.A2.2A.A$13.3A47.
3A47.3A42.A$12.A49.A49.A45.A.2A.A2.A$13.3A47.3A47.3A42.A4.A2.A$15.A
49.A49.A47.A.A$130.A$129.2A$129.A.A2$102.2A$103.2A$102.A7.A$109.2A$
109.A.A2$98.A$98.2A28.2A$97.A.A28.A.A$128.A!
The path of a closeby-passing glider is shown in order to demonstrate rewindability.

EDIT: Final step for one of the stillaters, requiring a large still life that transfer.py can probably take apart:

Code: Select all

x = 34, y = 51, rule = B3/S23
bo$2bo$3o12$16bobo$11bobo2b2o$12b2o3bo$7bo4bo$8bo$6b3o3$26bo$21bo3bo$
20bo4b3o$20b3o$9bo$8bobo$7bobo$7bo$2bo2bobo$2b5o2$2b3o3bo$bobobobobo$b
o3b2o2bo$2b3o4b2o$4bo5$21b3o$21bo$22bo4$31b2o$31bobo$31bo!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 9th, 2021, 1:59 am

And a final step for one of the caterer tagalongs:

Code: Select all

x = 47, y = 34, rule = B3/S23
37bo$37bobo$37b2o$20bo$18bobo$19b2o$2bo41bobo$obo34bo6b2o$b2o32b2o8bo$
36b2o$11bo$12bo$10b3o5$33bo$9bo22bobo$9b2o12b2o6bobo$8bobo12bo7bo$26bo
5bo$25b2o2b4o$29bo$30bo$29b2o$25b3o$23bo$9b2o12bo4bo$8bobo13bo$10bo15b
2o$27bo$27bo$27bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
iNoMed
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Posts: 607
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Location: Scotland

Re: Synthesising Oscillators

Post by iNoMed » August 9th, 2021, 10:47 am

Kazyan wrote:
August 8th, 2021, 9:00 pm
Here's a synthesis for the volatile 22-bit p3, starting from a known still life:

Code: Select all

snip
The path of a closeby-passing glider is shown in order to demonstrate rewindability.
A surprisingly-simple 5-glider reduction thanks to the usage of a cheaper base still-life with a 6G synthesis (Conveniently with a 1G activation that doesn't leave behind a beehive):

Code: Select all

x = 128, y = 55, rule = B3/S23
125bo$93bo30bo$94b2o28b3o$93b2o2$107bo$105b2o$106b2o$97bobo$98b2o$98bo
$127bo$125b2o$126b2o2$12bo46bo51bo$10b3o44b3o49b3o$9bo46bo51bo$10b3o
44b3o49b3o$13bo46bo51bo$12bo46bo51bo$12bobo44bobo49bobo$13b2o45b2o50b
2o4$124bo$123b2o$123bobo6$107bo$106bo17b3o$bo104b3o15bo$2bo47b2o50b2o
21bo$3o3bo43bobo49bobo$5b2o44bo51bo$5bobo$100b2o$99bo2bo$46b3o51b2o$
48bo$47bo$50b3o$50bo$51bo4$118b3o$118bo$119bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 9th, 2021, 11:01 am

iNoMed wrote:
August 9th, 2021, 10:47 am
(Conveniently with a 1G activation that doesn't leave behind a beehive):
Which then transfers over here!

Code: Select all

x = 46, y = 34, rule = B3/S23
37bo$37bobo$37b2o$20bo$18bobo$19b2o$2bo40bobo$obo34bo5b2o$b2o32b2o7bo
$36b2o$11bo$12bo$10b3o6$9bo22b2o$9b2o12b2o6bobo$8bobo12bo7bo$26bo5bo$
25b2o2b4o$29bo$30bo$29b2o$25b3o$23bo$9b2o12bo4bo$8bobo13bo$10bo15b2o$
27bo$27bo$27bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » August 9th, 2021, 8:20 pm

iNoMed wrote:
August 8th, 2021, 10:44 am
Edit 2: Got it in 29:
An E-sequence only requires three gliders.

Code: Select all

x = 22, y = 17, rule = B3/S23
bobo$2b2o2bo$2bo3bobo$6b2o$14b2o$14b2o2$6b2o$5bobo7b2obo2bo$7bo7b2ob4o
$bo$b2o12b5o$obo11bo5bo$15b2o2b2o$10b2obobo$10bob2o2bo$15b2o!
I also improved the first step, resulting in a 27-glider synthesis.

Code: Select all

x = 538, y = 45, rule = B3/S23
o$b2o$2o45bo181bobo$47bobo180b2o27bobo$47b2o181bo28b2o$260bo2$392bo$
392bobo122bobo$387bo4b2o124b2o2bo$330bo57bo129bo3bobo$40bo82bo138bo65b
obo55b3o133b2o$39bo78b2o3bobo136bobo64b2o199b2o$39b3o75bobo3b2o56bo80b
2o266b2o$119bo59b2o146b2o$27b2o145bo5b2o74bo66bo3bobo192b2o$27b2o99b2o
43bobo68b2o9bo63b2obobo2bo61b2obo2bo125bobo7b2obo2bo$127b2o44b2o69b2o
9b3o61b2ob2o65b2ob4o127bo7b2ob4o$129bo387bo$123b2o48b2o4b3o62b4o71b5o
65b5o123b2o12b5o$122bo2bo46bo2bo3bo63bo3bo70bo5bo63bo5bo121bobo11bo5bo
$123b2o48b2o5bo63b2o73b2o2b2o64b2o2b2o136b2o2b2o$118b2obobo44b2obobo
65b2obobo69b2obobo64b2obobo136b2obobo$29b2o87bob2o2bo43bob2o2bo64bob2o
2bo12b2o54bob2o2bo63bob2o2bo135bob2o2bo$28bobo92b2o48b2o69b2o12bobo58b
2o68b2o140b2o$30bo227bo9$15b2o$14bobo$16bo18b2o$35bobo$35bo4$39b3o$39b
o$40bo!
I am tentatively considering myself back.

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 9th, 2021, 9:33 pm

wwei47 wrote:
August 9th, 2021, 11:01 am
iNoMed wrote:
August 9th, 2021, 10:47 am
(Conveniently with a 1G activation that doesn't leave behind a beehive):
Which then transfers over here!

Code: Select all

x = 46, y = 34, rule = B3/S23
37bo$37bobo$37b2o$20bo$18bobo$19b2o$2bo40bobo$obo34bo5b2o$b2o32b2o7bo
$36b2o$11bo$12bo$10b3o6$9bo22b2o$9b2o12b2o6bobo$8bobo12bo7bo$26bo5bo$
25b2o2b4o$29bo$30bo$29b2o$25b3o$23bo$9b2o12bo4bo$8bobo13bo$10bo15b2o$
27bo$27bo$27bo!
Let's go!

Code: Select all

x = 988, y = 37, rule = B3/S23
702bo$701bo$701b3o$691bo232bo$692b2o75bo154bobo$691b2o75bo155b2o$768b
3o75bo60bo$146bo143bo410bo58bo77bo8b2o56bobo$147bo140b2o396bobo11bo60b
o74bobo7b2o58b2o$145b3o129bo11b2o396b2o11b3o56b3o75b2o50bo40bobo$141bo
133bobo15bo6bo386bo77bo121bobo34bo5b2o$142bo11bobo119b2o15bobo4bobo
312bo141bo8b2o120b2o32b2o7bo$83bo56b3o11b2o137b2o5b2o188bo125bo138bobo
7b2o79bobo9bo64b2o$75bo5b2o72bo332bobo123b3o139b2o89b2o9bobo37bo$75bob
o4b2o193bo211b2o356bo10b2o39bo68bo$75b2o201bo283bo201bo132b3o66bobo$
156bo72bo46b3o218bo55bo8bobo129b2o67bobo201b2o$67bo87bo73bobo253bobo7b
2o57bo7b2o130bobo61bobo3bobo$15bo52bo86b3o71b2o255b2o8b2o54b3o59b2o79b
2o62b2o4b2o$11bo2bo51b3o344bo72bo126b4o80b2o60bo7b2o$9b2o3b3o127b2o
203bo61bobo199b2ob2o79bobo53b2o12bobo$10b2o65bo66bobo200bobo62b2o201b
2o81b2o52bobo13b2o126bo22b2o$76bobo67bo69bo69bo5b2o54b2o8b2o68b2o68b2o
68b2o68b2o68b2o44bo23b2o60b2o6b2o46b2o12b2o6bobo54b2o5b2o$76b2o68b2o
68b3o67b3o3b2o64bo69bo69bo63bo5bo62b2o5bo62b2o5bo62b2o5bo61bo7bo46bobo
12bo7bo56b2o5bobo$219bo54b2o13bo69bo62b2o5bo62b2o5bo61bobo5bo61bobo5bo
61bobo5bo61bobo5bo63bo5bo63bo5bo$76b2o68b2o68b4o6b2o45bobo10b4o66b4o
58b2o2b2o2b4o62b2o2b4o62b2o2b4o62b2o2b4o62b2o2b4o62b2o2b4o62b2o2b4o62b
2o2b4o64b2o$76bo69bo69bo9bobo46bo10bo18bo50bo61b2o6bo69bo69bo69bo69bo
69bo69bo16bo52bo68bo$77bo69bo69bo8bo60bo16b2o51bo69bo69bo69bo69bo69bo
69bo69bo14b2o53bo69bo$65b3o8b2o68b2o68b2o68b2o16bobo49b2o68b2o68b2o68b
2o68b2o68b2o68b2o68b2o14bobo51b2o68b2o$2b3o6b2o54bo4b3o67b3o15bo51b3o
67b3o59b3o5b3o67b3o67b3o67b3o67b3o67b3o67b3o67b3o67b3o67b3o$o10bobo52b
o3bo69bo18b2o49bo69bo65bo3bo69bo69bo69bo69bo69bo69bo69bo69bo69bo$o4bo
5bo58bo4bo64bo4bo13bobo48bo4bo64bo4bo59bo4bo4bo64bo4bo64bo4bo64bo4bo
64bo4bo64bo4bo64bo4bo64bo4bo50b2o12bo4bo64bo4bo$bo69bo69bo69bo69bo69bo
69bo69bo69bo69bo69bo69bo69bo53bobo13bo69bo$3b2o68b2o68b2o68b2o68b2o68b
2o68b2o68b2o68b2o68b2o68b2o68b2o68b2o52bo15b2o68b2o$4bo7b2o60bo69bo69b
o69bo69bo69bo69bo69bo69bo69bo69bo69bo69bo69bo$4bo6b2o61bo69bo69bo69bo
69bo69bo69bo69bo69bo69bo69bo69bo69bo69bo$4bo8bo60bo69bo69bo69bo69bo69b
o69bo69bo69bo69bo69bo69bo69bo69bo!
Edit: Oops
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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BlinkerSpawn
Posts: 1992
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Synthesising Oscillators

Post by BlinkerSpawn » August 9th, 2021, 10:18 pm

wwei47 wrote:
August 9th, 2021, 9:33 pm
Let's go!

Code: Select all

rle
Relatively straightforward reduction by 24 [EDIT: Another -5, now that the ship can be constructed first]
[EDIT 2: Just make the beacon right away while you're at it, doofus]:

Code: Select all

x = 217, y = 34, rule = B3/S23
153bo$153bobo$153b2o$136bo$134bobo$135b2o$118bo$116bobo34bo$bobo113b2o
32b2o5bo$2b2o148b2o3bo$2bo124bo29b3o$128bo68bo$4bobo119b3o66bobo$4b2o
190b2o$5bo$85bo$o80bo2bo$b2o76b2o3b3o$2o78b2o43bo$70b2o53b2o12b2o63b2o
5b2o$70bo53bobo12bo64b2o5bobo$73bo68bo$72b2o67b2o2b2o66b2o$145bo68bo$
146bo69bo$145b2o68b2o$2b3o67b3o6b2o58b3o67b3o$o69bo10bobo55bo69bo$o4bo
64bo4bo5bo43b2o12bo4bo64bo4bo$bo69bo52bobo13bo69bo$3b2o68b2o51bo15b2o
68b2o$4bo69bo7b2o59bo69bo$4bo69bo6b2o60bo69bo$4bo69bo8bo59bo69bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » August 9th, 2021, 11:01 pm

BlinkerSpawn wrote:
August 9th, 2021, 10:18 pm
Relatively straightforward reduction by 24 [EDIT: Another -5, now that the ship can be constructed first]
Here is an activation of a block instead of a beacon, which you requested in Discord:

Code: Select all

x = 39, y = 34, rule = B3/S23
32bo$32bobo$32b2o$15bo$13bobo$14b2o2$32bo$30b2o5bo$31b2o3bo$36b3o2$5b
o$6bo$4b3o7$20b2o$20b2o2b2o$24bo$25bo$5b3o16b2o$7bo12b3o$6bo11bo$bo16b
o4bo$b2o16bo$obo18b2o$22bo$22bo$22bo!
I am tentatively considering myself back.

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 10th, 2021, 12:58 am

Kazyan wrote:
August 8th, 2021, 9:00 pm
EDIT: Final step for one of the stillaters, requiring a large still life that transfer.py can probably take apart:

Code: Select all

x = 34, y = 51, rule = B3/S23
bo$2bo$3o12$16bobo$11bobo2b2o$12b2o3bo$7bo4bo$8bo$6b3o3$26bo$21bo3bo$
20bo4b3o$20b3o$9bo$8bobo$7bobo$7bo$2bo2bobo$2b5o2$2b3o3bo$bobobobobo$b
o3b2o2bo$2b3o4b2o$4bo5$21b3o$21bo$22bo4$31b2o$31bobo$31bo!
I managed to take it back a little bit from here:

Code: Select all

x = 441, y = 113, rule = B3/S23
350bo$348bobo$294bo54b2o$292b2o$152bo140b2o$151bo$151b3o$74bo68bo146bo
$72bobo66bobo146bobo65b2o$73b2o67b2o146b2o65bo2bo64bo$358bobo62bobo$
85bo211bo61bo64b2o$20bo63bo212bobo136bo$19bo64b3o210b2o135b2o$19b3o71b
o125bo69bo145b2o$92bo126bo69bo$92b3o124bo69bo3$357b2o68b2o$6b2o68b2o
68b2o68b2o68b2o68bobo67bobo$6bo69bo3bo65bobo67bobo67bobo67bo69bo11b2o$
bo2bobo11bo52bo2bobo2bobo59bo2bobo2bo61bo2bobo2bo61bo2bobo2bo61bo2bobo
64bo2bobo11bobo$b5o11b2o52b5o3b2o7b3o50b5o2b2o61b5o2b2o61b5o2b2o61b5o
65b5o12bo$17bobo68bo$b3o67b3o15bo51b3o67b3o14bo52b3o67b3o67b3o$obobob
2o62bobobob2o62bobobob2o62bobobob2o9bo52bobobob2o62bobobob2o62bobobob
2o$o3b2obo6b3o53bo3b2obo62bo3b2obo62bo3b2obo9b3o50bo3b2obo62bo3b2obo
62bo3b2obo$b3o10bo56b3o67b3o67b3o67b3o15bo51b3o67b3o$3bo11bo57bo69bo
69bo69bo14b2o53bo69bo$87bo201bo8bobo$86b2o200bobo$86bobo200b2o3$297bo$
228b3o65b2o$228bo67bobo$229bo3b3o$233bo$234bo22$140bo$141bo$139b3o12$
155bobo$84b2o64bobo2b2o$84b3o64b2o3bo$83bob2o59bo4bo$83b3o61bo$84bo60b
3o3$165bo$160bo3bo$159bo4b3o$87bo4bobo64b3o$8bo69bo6b2o5b2o54bo$7bobo
67bobo6b2o5bo53bobo$6bobo67bobo67bobo$6bo69bo69bo$bo2bobo64bo2bobo12bo
51bo2bobo$b5o65b5o12bo52b5o$88b3o$b3o67b3o67b3o3bo$obobob2o62bobobob2o
62bobobobobo$o3b2obo62bo3b2obo3b2o57bo3b2o2bo$b3o67b3o6bo2bo57b3o4b2o$
3bo69bo7b2o60bo2$15b2o$15bobo$15bo$6b2o83b2o67b3o$5bobo82b2o68bo$7bo
84bo68bo4$170b2o$170bobo$170bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

mniemiec
Posts: 1590
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Post by mniemiec » August 10th, 2021, 2:50 am

Kazyan wrote:
August 8th, 2021, 9:00 pm
EDIT: Final step for one of the stillaters, requiring a large still life that transfer.py can probably take apart: ...
wwei47 wrote:
August 10th, 2021, 12:58 am
I managed to take it back a little bit from here: ...
The entire first row (19 glider eater-to-integral conversion) can be replaced by one step, for 5. You're also missing the integral-to-integral-w/tub step:

Code: Select all

x = 75, y = 21, rule = B3/S23
14bobo$o13boo$boo12bo$oo41bo$41bobo$24bo17boo$23bo24bo$23b3o20boo$47b
oo$26bo23boo21bo$25boo15boo6bobo19bobo$11boo7boo3bobo13bobo6bo20bobo$
11bo8bobo18bo29bo$6bobbobo8bo15bobbobo24bobbobo$6b5o25b5o25b5o$$6b3o
27b3o27b3o$5boboboboo22boboboboo22boboboboo$5bo3boobo22bo3boobo22bo3b
oobo$6b3o27b3o27b3o$8bo29bo29bo!

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Synthesising Oscillators

Post by MathAndCode » August 10th, 2021, 12:08 pm

mniemiec wrote:
August 10th, 2021, 2:50 am
The entire first row (19 glider eater-to-integral conversion) can be replaced by one step, for 5. You're also missing the integral-to-integral-w/tub step:
The snake to long hook with tail conversion can also be reduced.

Code: Select all

x = 550, y = 51, rule = B3/S23
517bo$518bo$516b3o5$14bobo$o13b2o112bo$b2o12bo111bo$2o125b3o2$24bo$23b
o231bo$23b3o228bobo160bo114bobo$254bobo158b2o110bobo2b2o$26bo91b2o130b
2o3bo136bo23b2o110b2o3bo$25b2o90bobo129bobo139bobo129bo4bo$11b2o7b2o3b
obo89bo131bo140bobo19bo111bo$11bo8bobo89bo2bobo126bo2bobo140bo20bo110b
3o$6bo2bobo8bo91b5o13b3o111b5o136bo2bobo20b3o$6b5o119bo254b5o$112b3o16b
o112b3o13b3o279bo$6b3o102bobobob2o124bobobob2o9bo124b3o149bo3bo$5bobo
bob2o98bo3b2obo124bo3b2obo10bo122bobobob2o144bo4b3o$5bo3b2obo99b3o129b
3o137bo3b2obo144b3o$6b3o105bo131bo138b3o137bo$8bo378bo136bobo$523bobo
$397b2o124bo$398b2o118bo2bobo$397bo120b5o2$518b3o3bo$517bobobobobo$517b
o3b2o2bo$518b3o4b2o$520bo$382b3o$384bo$383bo$402b2o$401b2o134b3o$403b
o133bo$538bo4$547b2o$547bobo$547bo!
I am tentatively considering myself back.

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wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Synthesising Oscillators

Post by wwei47 » August 10th, 2021, 11:37 pm

wwei47 wrote:
August 10th, 2021, 12:58 am
I managed to take it back a little bit from here:
Here's my solution for the still life, not that it's anywhere near optimal:

Code: Select all

x = 735, y = 369, rule = B3/S23
22bo60b2ob2o65b2ob2o$23b2o59bobobo14b2o49bobobo14b2o$22b2o60bo3bo14b2o
49bo3bo14b2o$85b3o67b3o$35bo51bobo67bobo$33b2o53b2o68b2o$34b2o65b2o68b
2o$101b2o68b2o$179b2o$179bobo$179bo5$29bo3b2o$28b2o3bobo$28bobo2bo60b
2o$94b2o4$20b2o$21b2o$20bo5$107b2o$107bobo$107bo15$145bo$146b2o$145b2o
$164bo$162b2o$163b2o2$147bo$14bo14bo118bo$15bo13bobo114b3o$13b3o13b2o
348bo$88bo290bobo$24bo63bobo288b2o5bo$12bo9b2o54bo9b2o295bo$13bo9b2o
54bo90bo201bo12b3o$11b3o63b3o88b2o203bo$169b2o200b3o$6bo$4bobo343bobo$
5b2o231bobo110b2o$228bo9b2o58bo52bo16bo$85b2o69b2o69bobo9bo57bobo67bob
o$85bo2bo66bo2bo67bo2bo66bo2bo66bo2bo$86b3o67b3o67b3o67b3o67b3o$14b2ob
2o368bo$15bobobo66b3o67b3o8bo58b3o67b3o10bo56b3o17bo$15bo3bo65bobobo
65bobobo6b2o57bobobo65bobobob2o6bobo53bobobob2o13b3o$16b3o66bo3bo65bo
3bo6bobo56bo3bo65bo3bob2o6b2o54bo3bob2o$bo16bobo65b3o67b3o67b3o67b3o
67b3o6bo$b2o16b2o67bobo67bobo63bobo11b3o53bobo67bobo7bobo$obo86b2o68b
2o63b2o12bo55b2o68b2o7bo2bo$239bo134b2o$4b3o221b2o$6bo220bobo$5bo223bo
2$14b2o284b3o$13b2o287bo$15bo285bo2$352bo6bo$352b2o5b2o19bo$351bobo4bo
bo18b2o4b2o$379bobo3bobo$385bo$360b2o$359bobo19bo$361bo18b2o$380bobo
25$321bo$320bo$320b3o$313bo$312bo191bo$301bo10b3o190bo$302b2o199b3o$
301b2o223bobo$383bo142b2o$382bo144bo$163bo218b3o$161bobo8bo148bobo339b
o$100bo61b2o7bo149b2o340bobo$98b2o71b3o148bo262b2o68b2o6b2o$27bo71b2o
275b2o155bobo49b2o68b2o73bo$26bo77bo270bo2bo154b2o194bo$26b3o74bo137bo
134b2o156bo194b3o$18bo69bo14b3o52bo69bo12bobo54bo69bo69bo13bo55bo69bo
69bo69bo$17bobo67bobo67bobo3bo63bobo3b2o6b2o54bobo3b2o62bobo67bobo12bo
bo52bobo67bobo67bobo67bobo$16bo2bo66bo2bo2b2o62bo2bo2bobo61bo2bo2bobo
61bo2bo2bobo61bo2bo2bob2o60bo2bo2bob2o6b2o52bo2bo2bob2o60bo2bo66bo2bo
66bo2bo$16b3o67b3o3b2o62b3o3b2o62b3o3b2o62b3o3b2o3b2o57b3o3b2obo60b3o
3b2obo60b3o3b2obo60b3o9b2o56b3o9b2o56b3o13bo$307b2o209b2o18bo49b2o68b
2o72bobo$16b3o67b3o11bo55b3o67b3o67b3o67b3o67b3o67b3o9b2o17b2o37b3o3b
2o62b3o3b2o62b3o3b2o8b2o$15bobobob2o62bobobob2o6b2o54bobobob2o62bobobo
b2o62bobobob2o62bobobob2o62bobobob2o62bobobob2o24bobo35bobobobobo61bob
obobobo61bobobobobo$15bo3b2o2bo61bo3b2o2bo5bobo53bo3b2o2bo61bo3b2o2bo
61bo3b2o2bo61bo3b2o2bo61bo3b2o2bo61bo3b2o2bo61bo3b2o64bo3b2o64bo3b2o$
16b3o3b2o5b3o54b3o3b2o62b3o3b2o62b3o3b2o10b2o50b3o3b2o62b3o3b2o62b3o3b
2o62b3o3b2o62b3o67b3o67b3o$18bo10bo58bo69bo69bo15bobo51bo69bo69bo16b2o
51bo23bo45bo4b3o62bo69bo$30bo213bo210bobo73b2o$455bo75bobo47bo5bo$581b
o5bo141b2o$581bo5bo140b2o$730bo$583b3o3$525b3o$521b2o2bo$520b2o4bo$
510bo11bo54b2o$510b2o64bobo$509bobo66bo22$145bo$146bo$144b3o5$3bo$bobo
13bo$2b2o12bo$16b3o5bo$22b2o$7bo15b2o138bo$8bo137bo7bo8bobo$6b3o138bo
4bobo8b2o6bo$21bo123b3o5b2o15bo$19b2o149b3o$20b2o2$96bo$95bo$95b3o$84b
2o68b2o15bobo68bo$84bo69bo7b2o7b2o68bo$85b3o54b2o11b3o4b2o8bo68b3o$18b
o69bo54b2o13bo72b2o$17bobo67bobo52bo14bobo2b2o67bo$16bo2bo66bo2bo66bo
2bo2b2o62bo2bobo$16b3o67b3o67b3o67b5o$95b3o137b2o$16b3o67b3o6bo60b3o
67b3o6b2o$15bobobob2o62bobobob2o3bo58bobobob2o13bo48bobobob2o$15bo3b2o
bo62bo3b2obo62bo3b2obo12b2o48bo3b2obo$16b3o67b3o67b3o16bobo48b3o$18bo
69bo69bo69bo41$365bo$363bobo$309bo54b2o$307b2o$167bo140b2o$166bo$166b
3o$89bo68bo146bo$87bobo66bobo146bobo65b2o$88b2o67b2o146b2o65bo2bo64bo$
373bobo62bobo$100bo211bo61bo64b2o$35bo63bo212bobo136bo$34bo64b3o210b2o
135b2o$34b3o71bo125bo69bo145b2o$107bo126bo69bo$107b3o124bo69bo3$372b2o
68b2o$21b2o68b2o68b2o68b2o68b2o68bobo67bobo$21bo69bo3bo65bobo67bobo67b
obo67bo69bo11b2o$16bo2bobo11bo52bo2bobo2bobo59bo2bobo2bo61bo2bobo2bo
61bo2bobo2bo61bo2bobo64bo2bobo11bobo$16b5o11b2o52b5o3b2o7b3o50b5o2b2o
61b5o2b2o61b5o2b2o61b5o65b5o12bo$32bobo68bo$16b3o67b3o15bo51b3o67b3o
14bo52b3o67b3o67b3o$15bobobob2o62bobobob2o62bobobob2o62bobobob2o9bo52b
obobob2o62bobobob2o62bobobob2o$15bo3b2obo6b3o53bo3b2obo62bo3b2obo62bo
3b2obo9b3o50bo3b2obo62bo3b2obo62bo3b2obo$16b3o10bo56b3o67b3o67b3o67b3o
15bo51b3o67b3o$18bo11bo57bo69bo69bo69bo14b2o53bo69bo$102bo201bo8bobo$
101b2o200bobo$101bobo200b2o3$312bo$243b3o65b2o$243bo67bobo$244bo3b3o$
248bo$249bo22$155bo$156bo$154b3o12$170bobo$99b2o64bobo2b2o$99b3o64b2o
3bo$98bob2o59bo4bo$98b3o61bo$99bo60b3o3$180bo$175bo3bo$174bo4b3o$102bo
4bobo64b3o$23bo69bo6b2o5b2o54bo$22bobo67bobo6b2o5bo53bobo$21bobo67bobo
67bobo$21bo69bo69bo$16bo2bobo64bo2bobo12bo51bo2bobo$16b5o65b5o12bo52b
5o$103b3o$16b3o67b3o67b3o3bo$15bobobob2o62bobobob2o62bobobobobo$15bo3b
2obo62bo3b2obo3b2o57bo3b2o2bo$16b3o67b3o6bo2bo57b3o4b2o$18bo69bo7b2o
60bo2$30b2o$30bobo$30bo$21b2o83b2o67b3o$20bobo82b2o68bo$22bo84bo68bo4$
185b2o$185bobo$185bo!
I really like how I'm able to get a spark into a weird position here.

Code: Select all

x = 37, y = 37, rule = B3/S23
bo$2bo$3o$23bobo$23b2o$24bo5$30bobo$30b2o$31bo$5bo$4bobo$3bo2bo2bob2o$
3b3o3b2obo$15b2o18bo$3b3o9b2o17b2o$2bobobob2o24bobo$2bo3b2o2bo$3b3o3b
2o$5bo23bo$28b2o$28bobo7$22b3o$18b2o2bo$17b2o4bo$7bo11bo$7b2o$6bobo!
That being said, iNoMed was able to convert directly into a python instead of using a shillelagh intermediate.

Code: Select all

x = 23, y = 26, rule = B3/S23
13bo$14bo$12b3o2$9bo8bobo$8bobo7b2o$8bo2bo7bo$9b3o2$obo6b3o$b2o5bobobo
b2o$bo6bo3bob2o5bo$9b3o8b2o$7bobo10bobo$7b2o3$2bo6bo$2b2o5b2o5bo$bobo
4bobo4b2o$15bobo2$10b2o$9bobo5bo$11bo4b2o$16bobo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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