B2-a4/S1

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glider_rider
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B2-a4/S1

Post by glider_rider » July 13th, 2017, 10:10 pm

This rule is interesting. It has a near-replicator that travels at c/2, which turns into a puffer eventually.

Code: Select all

x = 5, y = 3, rule = B2-a4/S1
2bo$5o$2bo!
And a tiny c/4 diagonal spaceship:

Code: Select all

x = 3, y = 2, rule = B2-a4/S1
obo$o!
The near-replicator can be tamed into a bouncing oscillator in tons of ways which I haven't really bothered tabulating. Here are a few simple ones:

Code: Select all

x = 34, y = 47, rule = B2-a4/S1
3$24bo$2bobo8bobo$24bo3$13bobo$12bo3bo$13bobo$23bobo$22bo3bo$23bobo$2b
obo$bo3bo$2bobo8bobo$23bobo5$3bo2$3bo2$14bobo4$14bobo$13bo3bo$14bobo$
14b3o$15bo2$15bo!
It can also be used to make guns (p72 and p96):

Code: Select all

x = 142, y = 8, rule = B2-a4/S1
63bo$62bobo40bo4bo14bo10bo$47b4o39bo13bobo3bo14bo9bobo$11bo50bobo7b3o$
3o7bobo50bo26bo13bobo28bobo3bo$24b4o77bo30bo4bo$10bobo$11bo!
There is also a naturally occurring breeder. Here's 5-cell quadratic growth:

Code: Select all

x = 10, y = 3, rule = B2-a4/S1
o$bo6b2o$o!
Here's a growing spaceship (front c/2, back c/6):

Code: Select all

x = 26, y = 165, rule = B2-a4/S1
23$14bo$12b5o$14bo$12b5o$14bo2$14bo$12b5o$14bo$12b5o$14bo28$13bobo6$
13bobo18$13bobo19$12bobo$11bo3bo$10b2o3b2o$11bo3bo$12bobo31$12b3o6$12b
3o!
And a c/6 spaceship (and a tagalong):

Code: Select all

x = 379, y = 176, rule = B2-a4/S1
7bobo4$29b2o$28bo199bobo3$2bo$2bo247b2o$2bo246bo$2bo2$56b2o165bo$55bo
167bo$223bo$223bo2$7bobo267b2o$276bo3$83b2o$bobo78bo145bobo$o3bo$bobo
2$304b2o$222bobo78bo$221bo3bo$222bobo$110b2o$109bo4$7bobo321b2o$330bo
3$137b2o$136bo91bobo4$358b2o$357bo$143b2o2$144bo3$364b2o2$7bobo355bo2$
116b2o37bo$153b5o$117bo37bo$228bobo2$337b2o37bo$374b5o$338bo37bo2$89b
2o$154bobo$90bo3$310b2o$375bobo$7bobo144bobo154bo2$2bo59b2o$2bo$2bo60b
o$228bobo144bobo2$223bo59b2o$155bo67bo$153b5o65bo60bo$155bo$35b2o2$36b
o248bobo88bo$284bo3bo85b5o$283b2o3b2o86bo$256b2o26bo3bo$285bobo$154bob
o100bo2$8b2o2$9bo$375bobo$285b3o$229b2o2$230bo3$9bo275b3o$9bo$9bo$9bo
2$230bo$230bo$230bo54bobo$230bo53bo3bo$283b2o3b2o$284bo3bo$285bobo4$8b
obo$7bo3bo$8bobo$154bobo2$229bobo$228bo3bo$229bobo$375bobo43$9bo275b3o
$9bo$9bo3$230bo$230bo$230bo!
A c/6 puffer or rake is probably possible. Additionally, there are several non-near-replicator-based oscillators:

Code: Select all

x = 33, y = 26, rule = B2-a4/S1
10bo2bo$9bo10bobo$8bobo$11bobo6bobo$12bo$2bo5bo2bo$o$3bo$bo17bo2$17bob
o$6bo2bo$6bo2bo7bo$7b2o$3b2o6b2o$5bo4bo$5bo4bo$3b2o6b2o9bo9bo$7b2o$6bo
2bo15b2ob2o$6bo2bo12bo9bo2$22bo9bo$25b2ob2o2$22bo9bo!
And spaceships:

Code: Select all

x = 50, y = 19, rule = B2-a4/S1
4bo4bo19bo$3bobo2bobo18bo$2b2o2b2o2b2o15bobobo$bo2b2o2b2o2bo13bo5bo$
23bo3bo3bo3bo10bo$2o10b2o10b3o5b3o8bo2bo2bo$2bo8bo10b2o11b2o6bo5bo$b2o
8b2o$2b2obo2bob2o12bo3bobo3bo9bo3bo$2bobo4bobo14bo5bo13bo$3obob2obob3o
12bo5bo2$3bo6bo14b4ob4o14bo$5bo2bo14bobobobobobobo$5b4o12bo3bo7bo3bo9b
obo$21b2ob2o3bo3b2ob2o$23bo11bo13bo$27bo3bo15b3o$27bo3bo15bo!
The 2c/5 can be made into a puffer:

Code: Select all

x = 15, y = 103, rule = B2-a4/S1
7bo$6bobo$5b2ob2o$4bobobobo$bobob5obobo$bo2bo2bo2bo2bo$o2bo3bo3bo2bo$
2obo7bob2o$o4b2ob2o4bo$3bo3bo3bo$4bo5bo$5b2ob2o$2bob2o3b2obo$2obo3bo3b
ob2o$2bo4bo4bo$o13bo2$5bo3bo$4bobobobo$6bobo6$6bobo$5bo3bo$6bobo7$7bo$
7bo$7bo4$7bo$7bo$7bo7$6bobo$5bo3bo$6bobo31$7bo$7bo$7bo16$7bo$7bo$7bo!
Nico Brown

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Re: B2-a4/S1

Post by AbhpzTa » July 14th, 2017, 10:22 am

2 p24 guns:

Code: Select all

x = 39, y = 10, rule = B2-a4/S1
15bo$o13bobo2$o13bobo$15bo$23bo$23bo14bo$22b3o9bo3bo$23bo14bo$23bo!

Code: Select all

x = 28, y = 26, rule = B2-a4/S1
13bo5bo$12bobo3bobo$obo$12bobo3bobo$13bo5bo5$24bobo$23bo3bo$24bobo14$
24bobo!
p72 edgeshooter:

Code: Select all

x = 59, y = 65, rule = B2-a4/S1
33bo11bo$o31bobo9bobo2$o31bobo9bobo$33bo11bo14$55bobo$54bo3bo$55bobo
10$55bobo$54bo3bo$55bobo32$55bobo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

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toroidalet
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Re: B2-a4/S1

Post by toroidalet » July 14th, 2017, 2:36 pm

p60:

Code: Select all

x = 5, y = 27, rule = B2-a4/S1
bobo5$b3o5$bobo$o3bo$bobo14$bobo!
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

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glider_rider
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Re: B2-a4/S1

Post by glider_rider » July 14th, 2017, 7:50 pm

c/6 rake:

Code: Select all

x = 167, y = 175, rule = B2-a4/S1
bobo$o3bo$bobo4b2o$7bo8$35b2o$bobo30bo$o3bo$bobo5$7bobo$62b2o$61bo8$
89b2o$88bo7$7bobo$116b2o$115bo8$143b2o$142bo3$158bo$159bo$159bo2$7bobo
5$131bo31bobo$132bo29bo3bo$132bo30bobo$163b3o$163bobo$162bo3bo$163bobo
3$104b2o2$105bo$163bobo$7bobo152bo3bo$103bo59bobo$2bo98b5o57b3o$2bo
100bo59bobo$2bo159bo3bo$77b2o84bobo2$78bo24bo$101b5o4bobo$103bo5bo3bo$
110bobo4$50b2o58bobo$109bo3bo$51bo58bobo2$7bobo5$23b2o2$24bo8$8bobo$7b
o3bo$8bobo2$103bo$118bobo$103bo13bo3bo$118bobo$118b3o$9bo$9bo93bo$9bo$
103bo6b3o2$118b3o$9bo$9bo$9bo$110b3o2$118b3o4$8bobo$7bo3bo$8bobo107b3o
$118bobo$117bo3bo$118bobo2$164bo$164bo$9bo154bo$9bo$9bo5$103bo$101b5o$
103bo4$103bo$101b5o4bobo$103bo5bo3bo$110bobo4$110bobo$109bo3bo$110bobo
3$103bo2$103bo3$9bo$9bo$9bo$110b3o2$118b3o!
Nico Brown

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PHPBB12345
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Re: B2-a4/S1

Post by PHPBB12345 » July 16th, 2017, 9:17 pm

glider_rider wrote:This rule is interesting. It has a near-replicator that travels at c/2, which turns into a puffer eventually.

Code: Select all

x = 5, y = 3, rule = B2-a4/S1
2bo$5o$2bo!
What is c/2-puffer based c/2-spaceship in this rule?

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toroidalet
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Re: B2-a4/S1

Post by toroidalet » July 16th, 2017, 10:02 pm

PHPBB12345 wrote:What is c/2-puffer based c/2-spaceship in this rule?
just because there's a puffer doesn't mean that a ship based on it exists. If you want one so much, try to find one, but I think it's impossible.
Also, p216 c/6 rake:

Code: Select all

x = 168, y = 176, rule = B2-a4/S1
bobo$o3bo$bobobo$b3o2bobo$bobobobo$o3bo$bobo6$bobo30b2o$o3bo28bo$bobo$
b3o$bobo$o3bo$bobo3$7bobo51b2o$60bo8$88b2o$87bo8$7bobo105b2o$114bo8$
142b2o$141bo3$159bo$160bo$160bo3$7bobo3$163bobo$132bo29bo3bo$133bo27b
2o3b2o$133bo28bo3bo$163bobo$163b3o$163bobo$162bo3bo$161b2o3b2o$162bo3b
o$105b2o56bobo$163b3o$106bo56bobo$162bo3bo$161b2o3b2o$7bobo94bo57bo3bo
$102b5o56bobo$2bo101bo58b3o$2bo160bobo$2bo75b2o82bo3bo$161b2o3b2o$79bo
24bo57bo3bo$102b5o4bobo49bobo$104bo5bo3bo$111bobo4$51b2o58bobo$110bo3b
o$52bo58bobo3$7bobo114bo2$123b2o2$24b2o2$25bo7$8bobo$7bo3bo$8bobo$8b3o
$8bobo$7bo3bo92bo$8bobo108bobo$104bo13bo3bo$119bobo$119b3o2$9bo94bo$9b
o$9bo94bo6b3o2$119b3o2$9bo$9bo$9bo101b3o2$119b3o3$8bobo$7bo3bo$8bobo$
8b3o108b3o$8bobo108bobo$7bo3bo106bo3bo$8bobo108bobo2$151bo2$150b2o$9bo
$9bo$9bo4$104bo$102b5o$104bo4$104bo$102b5o4bobo$104bo5bo3bo$111bobo4$
111bobo$110bo3bo$111bobo$164bo$164bo$104bo59bo2$104bo4$9bo$9bo$9bo101b
3o2$119b3o!
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

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GUYTU6J
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Re: B2-a4/S1

Post by GUYTU6J » July 19th, 2017, 11:25 pm

Code: Select all

x = 107, y = 234, rule = B2-a4/S1
98bo$96b5o$26bo71bo$24b5o$26bo71bo$24b5o67b5o$26bo71bo6$98bo$96b5o$26b
o71bo$24b5o$26bo71bo$24b5o67b5o$26bo71bo20$26bo$24b5o$2bo23bo$5o19b5o$
2bo23bo70bobo$5o$2bo4$97bobo2$2bo23bo$24b5o$2bo23bo$24b5o$26bo2$2bo2$
2bo2$26bo2$26bo2$2bo$5o$2bo23bo70bobo$5o$2bo23bo8$2bo$5o$2bo$5o$2bo4$
26bo70bobo2$2bo23bo2$2bo4$2bo2$2bo8$26bo70bobo$2bo$26bo2$2bo4$2bo2$2bo
8$26bo70bobo2$26bo6$2bo2$2bo8$26bo70bobo2$26bo6$2bo2$2bo7$104bo$97bobo
2b5o$104bo$102b5o$104bo5$2bo2$2bo$104bo$102b5o$104bo$19bo82b5o$19bo84b
o$20bo$29bo$27b5o$29bo$27b5o$29bo5$2bo2$2bo4$29bo3$29bo74bo$102b5o$
104bo$102b5o$29bo74bo3$29bo5$104bo$102b5o$104bo$102b5o$104bo2$29bo$27b
5o$29bo$27b5o$29bo74bo2$104bo4$104bo2$104bo10$29bo2$29bo!
Left:Another growing ship
Right:Possible mechanism for a c/2 spaceship
There are also several interactions:

Code: Select all

x = 30, y = 308, rule = B2-a4/S1
11bobo$10bo3bo$11bobo$11b3o6$11b3o$11bobo$10bo3bo$11bobo27$11b3o6$11b
3o18$11b3o18$11b3o18$11b3o2$17bobo$16bo3bo$15b2o3b2o$16bo3bo$17bobo$
17b3o$17bobo$16bo3bo$15b2o3b2o$16bo3bo$17bobo18$25bobo$24bo3bo$23b2o3b
2o$24bo3bo$25bobo$25b3o$25bobo$24bo3bo$17bobo3b2o3b2o$16bo3bo3bo3bo$
15b2o3b2o3bobo$16bo3bo$17bobo$17b3o6bo$17bobo6bo$16bo3bo5bo$15b2o3b2o$
16bo3bo$17bobo4$23b2o6$27b2o5$17b3o$16bo2bo$17b3o11$27b2o5$16bo$16bo$
16bo11$27b2o$9bobo$8bo3bo$9bobo$9b3o$14b3o$14b3o$16bo3$9b3o6$9b3o2$27b
2o4$9b3o$9bobo$8bo3bo$9bobo10$bobo$o3bo22b2o$bobo$b3o$bobo$o3bo$bobo4$
10b3o5$9bobo4$27b2o$10bo2$10bo6$10b3o5$9bobo3$bobo$o3bo22b2o$bobo6bo$b
3o$bobo6bo$o3bo$bobo9$9bobo2$2bo$2bo$2bo24b2o$10bo2$10bo$2bo$2bo$2bo8$
9bobo4$27b2o$10bo2$10bo$2bo$2bo$2bo!
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
An awesome gun firing cool spaceships:

Code: Select all

x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry
2bo$2o$o$obo$b2o!

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glider_rider
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Re: B2-a4/S1

Post by glider_rider » July 20th, 2017, 6:45 pm

Two c/2 ships, a c/4 with a replicator-based tagalong, and a p3 oscillator.

Code: Select all

x = 87, y = 56, rule = B2-a4/S1
75b2o3b2o$77bobo$76bo3bo$74bobo3bobo$70b2obo9bob2o3$72bo11bo$72bo11bo
2$71bo2bo7bo2bo$72b3o7b3o$72b2o2bobobo2b2o$74b2ob3ob2o$74b2o5b2o$78bo$
75bobobobo$76bo3bo4$77bobo$75b3ob3o$77bobo$12bobo10bobo2bobo18b2o3b2o
20bo$11bo3bo10bo4bo45b3o$12bobo12bo2bo21bo3bo$obobo45b2o5b2o$16bo8bo6b
o13b2o13b2o$obo12bo7bo2b2o2b2o2bo15bo3bo3bo19bo$14bo6b3o10b3o$o12bo9b
3o6b3o$13bo32b2ob2o7b2ob2o$22bo12bo11bobo9bobo$48bo11bo$49bo9bo$51bo5b
o$49bo3bobo3bo$52bo3bo$51bo2bo2bo20bo$51bo2bo2bo18b5o$53b3o22bo$54bo$
51bob3obo$53bobo$54bo$51b2obob2o$54bo$54bo2$54bo5$77bobo!
EDIT: Synthesis for the small c/2, and a highly unoptimized gun.

Code: Select all

x = 480, y = 300, rule = B2-a4/S1
432bobo9bobo$432bobo9bobo$431b5o7b5o29b3o$432bobo9bobo$432bobo9bobo6$
409bo$409bobo$160bo11bo$127bo31bobo9bobo2$127bo31bobo9bobo$160bo11bo$
422bo$420b5o$422bo$420b5o$422bo$196bo$194b2o5$391bo$391bobo28bo$182bob
o235b5o$181bo3bo236bo$182bobo235b5o$422bo7$214bo$212b2o$182bobo$181bo
3bo$182bobo2$373bo$373bobo11$232bo$230b2o4$422bo$355bo66bo$355bobo64bo
4$379bo11bo$378bobo9bobo31bo2$378bobo9bobo31bo$379bo11bo3$182bobo65bo$
248b2o2$355bo$356b2o2$337bo$337bobo4$367bobo$366bo3bo$367bobo$227bo3bo
7bo3bo$196bo30bo3bo7bo3bo$196bo29b3ob3o5b3ob3o$196bo30bo3bo7bo3bo$73bo
153bo3bo7bo3bo24bo$73bobo190b2o2$337bo$338b2o$367bobo$265bo100bo3bo$
367bobo$264b2o4$4bo247bo$2b2o246b5o$252bo$73bo$74b2o176bo$250b5o$bo
250bo2$2o$351bo2$351bo$252bo$250b5o$252bo2$252bo$250b5o$252bo9$367bobo
14$350bobo$349bo3bo$348b2o3b2o$349bo3bo$350bobo3$251b3o4$268bobo$270bo
79bobo$349bo3bo$348b2o3b2o$349bo3bo$350bobo5$339bo$338bo$4bobo331bo$6b
o2$264b2o$266bo$362bo11bo$250bobo108b3o9b3o$252bo107bo3bo7bo3bo$406bob
o$360bo3bo7bo3bo$75bo285b3o9b3o$74bo287bo11bo$74bo$273bo11bo$272b3o9b
3o$2o269bo3bo7bo3bo$2bo314bobo$271bo3bo7bo3bo$272b3o9b3o$273bo11bo5$
232bobo$234bo20bobo$254bo3bo$253b2o3b2o$254bo3bo$255bobo8$255bobo$254b
o3bo$253b2o3b2o$254bo3bo$255bobo$214bobo$216bo17$196bobo$198bo10$203bo
3bo7bo3bo36bo$203bo3bo7bo3bo30bo$202b3ob3o5b3ob3o29bo5bo$203bo3bo7bo3b
o30bo$203bo3bo7bo3bo6$188bo$186b5o$188bo2$188bo$186b5o$188bo6$188bo$
186b5o$188bo2$188bo$186b5o$188bo30$187b3o!
Nico Brown

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BlinkerSpawn
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Re: B2-a4/S1

Post by BlinkerSpawn » July 20th, 2017, 8:55 pm

Maximally compacted, given current technology:

Code: Select all

x = 212, y = 235, rule = B2-a4/S1
174bobo4$35b3o20$36bo$34b5o$36bo10$36bo137bobo$173bo3bo$174bobo$34b2ob
2o135b3o$35bobo136bobo$173bo3bo$174bobo4$35bobo$34b2ob2o3$36bo4$150bo
3bo$113bo35bob3obo$152bo$113bo35bob3obo$41bo13bo7bo13bo72bo3bo$41bo13b
2o5b2o13bo20bo$36bo3b3o9bo13bo9b3o19bo$34b5o2bo13b2o5b2o13bo20bo$36bo
4bo13bo7bo13bo3$168bo$168bo$169bo10$51bo$49bobo5$150bo$150bo$151bo10$
69bo$67bobo$182bobo9bobo$150bo31bobo9bobo$150bobo28b5o7b5o11b3o$182bob
o9bobo$132bo49bobo9bobo$132bo$133bo$31bo35bo$10bo19bobo33bobo$44b4o3b
4o$10bo19bobo33bobo$31bo35bo$66b2o$65bobo$64bo3bo76b3o$65bobo$87bo$85b
obo2$132bo$132bobo$57bo$114bo$57bo27bo28bo$83b2o30bo3$66bo$66bo$66bo$
66bo4$66bo38bo$66bo36bobo48bo$66bo85b5o$66bo39bo7bo39bo$107bo6bobo35b
5o$107bo46bo2$103bo$101b2o2$146bo$144b5o$146bo$154bo$115b2o29bo5b5o$
65bobo76b5o5bo$64bo3bo46bo30bo5b5o$56bobo6bobo86bo$55bo3bo$56bobo42bob
o$103bo$88bo$89bo56bo$56bobo30bo54b5o$55bo3bo86bo$56bobo$146bo$144b5o$
146bo$56bobo95bo$55bo3bo94bo$56bobo95bo$133b2o2$133bo$56bobo$55bo3bo$
56bobo6bobo15bobo$85bo$70bo$71bo83bo3bo7bo3bo$71bo83bo3bo7bo3bo30bo$
154b3ob3o5b3ob3o29bo$155bo3bo7bo3bo30bo$155bo3bo7bo3bo$99bo3bo$99bo3bo
36bo$98b3ob3o35bo$31bo5bo5bo5bo49bo3bo36bo$30bobo3bobo3bobo3bobo48bo3b
o$obo$30bobo3bobo3bobo3bobo$31bo5bo5bo5bo9$78bo$76b5o$78bo2$78bo$76b5o
$78bo36$77b3o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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glider_rider
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Re: B2-a4/S1

Post by glider_rider » July 20th, 2017, 9:36 pm

Near-replicator-based c/2 ship and rake:

Code: Select all

x = 214, y = 132, rule = B2-a4/S1
53bobo$52bo3bo$53bobo124bo$178b5o$180bo2$53bobo124bo$52bo3bo$53bobo
110bobo41bobo$165bo3bo39bo3bo$166bobo11bo29bobo$32bobo131b3o41b3o$31bo
3bo144bo$32bobo18b3o122b5o$180bo2$180bo$32bobo131b3o41b3o$31bo3bo130bo
bo11bo7bo21bobo$32bobo18b3o109bo3bo16b5o18bo3bo$166bobo19bo21bobo$166b
3o41b3o$180bo7bo$166b3o41b3o$32b3o18bobo124bo$52bo3bo$53bobo124bo7bo$
40bobo135b5o$39bo3bo136bo3bo3bo$40bobo123b3o41b3o$32b3o18bobo124bo$52b
o3bo109b3o41b3o$53bobo110bobo19bo21bobo$40bobo122bo3bo39bo3bo$2bo36bo
3bo122bobo11bo3bo3bo21bobo$5o27bobo5bobo123b3o41b3o$2bo28bo3bo17bobo
124bo$5o27bobo17bo3bo121b5o$2bo50bobo124bo7bo$40bobo$2bo36bo3bo144bo$
5o27bobo5bobo123b3o17b5o19b3o$2bo28bo3bo17bobo110bobo19bo21bobo$5o27bo
bo17bo3bo108bo3bo39bo3bo$2bo50bobo110bobo41bobo$40bobo$39bo3bo$40bobo
139b2o$bobo$53b3o3$180bo2$bobo31b2o143bo$53b3o3$2bo177bo$5o161b3o41b3o
$2bo29b3o145bo$5o$2bo2$2bo180bo11bo$5o161b3o14bo11bo14b3o$2bo29b3o147b
3o9b3o$5o178bo11bo$2bo180bo11bo2$2bo36bo5bo$5o33b3o3b3o$2bo34bo3b3o3bo
$5o37bo10b3o$2bo34bo3b3o3bo$38b3o3b3o$2bo36bo5bo134bo$5o$2bo177bo$5o$
2bo4$bobo28b3o$173bo$174bo$174bo$21bo5bo$20b3o3b3o$bobo15bo3b3o3bo$24b
o19b3o$19bo3b3o3bo$20b3o3b3o$21bo5bo8$32b3o7$8bo$9b2o$6b2o$8b2o$9bo7$
16b2o14b3o2$17bo7$25b2o2$26bo!
Also this thing:

Code: Select all

x = 403, y = 537, rule = B2-a4/S1
52bo2$52bo$387bo$73bo313bo$72bo314bo$72bo$366bobo$368bo5$100bo$99bo$
99bo$339bobo$341bo$52bo2$52bo$387bo$127bo259bo$45bobo78bo260bo$44bo3bo
77bo266bo$43b2o3b2o262bobo76b5o$44bo3bo265bo78bo$45bobo3$393bo$154bo
236b5o$153bo239bo$153bo$285bobo$287bo$52bo2$52bo$387bo$181bo205bo$180b
o206bo$180bo$258bobo$260bo5$208bo$207bo$207bo$231bobo$233bo$52bo128b2o
$183bo$52bo203b2o$387bo$256bo130bo$387bo4$154b2o$156bo$283b2o2$283bo2$
151bobo$153bo$152bo2bo$52bo74bobo25b3o$129bo24bo2bo127bobo$52bo101bobo
153b2o$154b3o152bo77bo$45b3o106bobo230bo$153bo3bo229bo$154bobo236bo$
284bo$282b5o106bo$100bobo43bobo6bo128bo$102bo52bo$155bo51bobo127b2o$
206bo3bo20bo50b2ob2o4b3o42bo$147bo59bobo19b5o49bobo$145b5o81bo59b3o$
147bo7bo135bobo$145b5o5bo75bo58bo3bo$147bo7bo51bobo81bobo$52bo20bobo
130bo3bo80b3o$75bo71bo59bobo73bobo$145b5o4bobo74bo50b2ob2o77b2o$54bo
92bo5bo3bo205bo$51bo3bo89b5o2b2o3b2o72bo$50b2o3b2o90bo5bo3bo71b5o50bo$
51bo3bo98bobo74bo59b3o90b2o$52bobo99b3o134bobo$154bobo5bobo125bo3bo91b
o$153bo3bo3bo3bo8bo101bo14bobo90b5o$152b2o3b2o3bobo7bobo99b5o107bo$
153bo3bo118bo107b5o$154bobo229bo$264bo11bo$265b2o7b5o$52bobo221bo7bo$
51bo3bo226b5o99bo$50b2o3b2o227bo99b5o$51bo3bo330bo$52bobo$162bobo$146b
obo12bo3bo110bo$162bobo109b5o107bo$276bo107b5o$291b3o92bo$276bo$274b5o
$146bobo6bo120bo$155bo$155bo$291b3o$283bobo2$155bo$155bo$155bo2$283bob
o6$147bo$145b5o12bobo$147bo13bo3bo110bo14bobo$145b5o12bobo109b5o11bo3b
o$147bo128bo14bobo$207b3o81b3o$147bo128bo$145b5o4bobo74bo42b5o$147bo5b
o3bo118bo7bo$145b5o2b2o3b2o72bo50b5o$147bo5bo3bo126bo$154bobo44bo89b3o
$154b3o42bobo89bobo$154bobo5bobo125bo3bo$146bobo4bo3bo3bo3bo110bo14bob
o$152b2o3b2o3bobo72bo36b5o12b3o$153bo3bo80b2o36bo$154bobo134b3o$276bo$
274b5o$146bobo6bo120bo7bo$155bo$155bo$282b2ob2o4b3o$283bobo2$155bo$
155bo$155bo2$283bobo7$52b3o2$386bo$163bo$163bo222bo$163bo2$275bobo8$
219b3o18$219b3o177bobo$393bo4bo3bo$394bo4bobo$394bo4b3o6$399b3o$366bo
32bobo$367bo30bo3bo$367bo31bobo5$394bo$219b3o$339bo54bo$340bo$340bo7$
312bo$313bo$313bo5$394bo$219b3o$285bo108bo$286bo$286bo112b3o4$2bo$5o$
2bo5bobo388b3o$8bo249bo$2bo256bo$259bo3$2bo241b2o$243bo$2bo391bo$5o30b
obo181b3o$2bo32bo358bo5$8bo228bobo31b2o$8bo227bo3bo29bo$8bo226b2o3b2o$
62bobo171bo3bo$62bo174bobo5$297bobo$297bo$394bo$89bobo127b3o15bobo159b
obo$89bo146bo3bo153bo3bo3bo$235b2o3b2o57bo99bobo$236bo3bo56b5o97b3o$
237bobo59bo2$8bo290bo24bobo$8bo288b5o22bo$8bo290bo$2bo113bobo171bobo
106b3o$116bo172bo3bo105bobo$2bo287bobo105bo3bo$290b3o106bobo$290bobo$
289bo3bo$2bo287bobo58bobo$351bo$2bo391bo$143bobo73b3o$143bo135bo114bo$
279bobo$399b3o$157b2o2$8bo149bo219bobo$8bo369bo$8bo3$237b3o2$130b2o32b
o$162b5o$131bo32bo$162b5o225bobo$164bo72b3o151bo3bo$219b3o170bobo$392b
3o2$282bobo$103b2o176bo3bo$105bo174b2o3b2o$8bo272bo3bo$2bo5bo155bo117b
obo107b3o$5o3bo153b5o115b3o$2bo161bo117bobo$102bobo57b5o114bo3bo$2bo
98bo3bo58bo115b2o3b2o$100b2o3b2o174bo3bo$76b2o23bo3bo176bobo107b3o$78b
o23bobo177b3o$2bo279bobo$111bo169bo3bo$2bo106b5o166b2o3b2o$5o106bo107b
3o59bo3bo$2bo279bobo107b3o$111bo170b3o107bobo$109b5o168bobo106bo3bo$
49b2o60bo169bo3bo106bobo$51bo228b2o3b2o$8bo228bobo41bo3bo$8bo227bo3bo
41bobo$8bo114bo111b2o3b2o$2bo118b2o113bo3bo$237bobo12bo30bo$2bo249bobo
28bo$283bo$22b2o$24bo2$283bo108bobo$164bo118bo107bo3bo$219b3o15bobo43b
o108bobo$164bo71bo3bo151b3o$235b2o3b2o56bobo$236bo3bo41bobo$237bobo41b
o3bo$9bo154bo115b2o3b2o$7b5o269bo3bo$9bo154bo117bobo107b3o$282b3o6bo$
9bo272bobo6bo$119bo161bo3bo5bo$117b5o115b3o40b2o3b2o$119bo161bo3bo$9bo
107b5o160bobo107b3o$119bo162b3o$9bo272bobo$119bo161bo3bo$117b5o158b2o
3b2o$119bo99b3o59bo3bo$9bo107b5o160bobo107b3o$119bo162b3o107bobo$9bo
272bobo106bo3bo$119bo161bo3bo106bobo$117b5o158b2o3b2o$119bo161bo3bo$9b
o107b5o160bobo$119bo$9bo$7b5o107bo$9bo107b5o$119bo$117b5o42bo$119bo42b
5o$164bo$162b5o116bo$150bo13bo118bo$118bobo27b2o69b3o61bo$225bo$225bob
o3$9bo$7b5o106bobo$9bo154bo227b3o$162b5o$9bo92b3o59bo$119bo42b5o$117b
5o42bo$119bo$9bo107b5o$119bo$9bo$110bobo6bo$117b5o42bo$119bo99b3o$9bo
107b5o42bo$119bo$9bo$119bo$117b5o$119bo$9bo107b5o$119bo$9bo$7b5o107bo$
9bo107b5o$119bo$117b5o$119bo4$219b3o6$118bobo2$177bo$175b2o$198bo$198b
obo2$9bo2$9bo3$219b3o16$156bo23bo11bo$155b3o21b3o9b3o21bo$154bo3bo6bo
5bo6bo3bo7bo3bo6bo5bo6bo3bo2bo$165bo5bo29bo5bo10bo$154bo3bo6bo5bo6bo3b
o7bo3bo6bo5bo6bo2bo$155b3o21b3o9b3o21bobo$156bo23bo11bo23bo17$206bo$
204b5o$206bo10$206bo3$204b2ob2o$205bobo2$147bo9bo30bo$147bo9bo28b5o$
146b3obo3bob3o29bo$147bo9bo$147bo9bo47bobo$204b2ob2o$150bo17bo$166bo3b
o$131bo21bo11bo23bo16bo$131bo21bo11b3ob2o18bo26bobo$130b3obo3bobo3bobo
3bob3o10b2o3bo3bobo3bobo3bob3obobo3bobo15bo2bo$131bo21bo12bo2b2o18bo
26bo2bo$131bo21bo12bo22bo27bobo$170bo5$206bo$204b5o$206bo$137bo21bo13b
o21bo$136bob2o5bo5bo5b2obo11bob2o5bo5bo5b2ob2obo5bo$139bo5bo5bo5bo17bo
5bo5bo5bo3bobo5bo$136bob2o5bo5bo5b2obo11bob2o5bo5bo5b2ob2obo5bo$137bo
21bo13bo21bo13$136bobo21bobo9bobo$136bobo21bobo9bobo$135b5o5bobo3bobo
5b5o7b5o5bobo3bobo8bo2bo3bobo$136bobo21bobo9bobo$136bobo21bobo9bobo!
Nico Brown

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Rhombic
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Re: B2-a4/S1

Post by Rhombic » July 21st, 2017, 6:25 am

glider_rider wrote: Also this thing:

Code: Select all

thing
I think that's a wickstretcher!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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glider_rider
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Location: CA

Re: B2-a4/S1

Post by glider_rider » July 21st, 2017, 7:10 pm

Rule to emulate the near-replicator and potential blinker endcaps:

Code: Select all

@RULE B2-a4S1Emulator
@TABLE
n_states:8
neighborhood:Moore
symmetries:none

0,0,1,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,1,1

0,0,1,0,0,0,0,0,4,1
0,0,4,0,0,0,0,0,1,1
0,0,1,0,0,0,0,0,1,4
0,0,4,0,0,0,0,0,0,2
0,0,0,0,0,0,0,0,4,2
0,0,4,0,0,0,0,0,4,2
0,2,0,0,0,0,0,0,0,2
0,2,0,0,0,0,0,0,2,2
0,2,2,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,2,2
0,0,1,0,0,0,0,0,2,3
0,0,2,0,0,0,0,0,1,3

0,0,1,0,0,0,0,0,3,1
0,0,3,0,0,0,0,0,1,1

0,0,1,0,0,0,0,0,5,1
0,0,5,0,0,0,0,0,1,1
0,5,0,0,0,0,0,0,0,5
0,5,1,0,0,0,0,0,0,5
0,5,0,0,0,0,0,0,1,5
0,0,4,0,0,0,0,0,5,2
0,0,5,0,0,0,0,0,4,2
0,2,0,0,0,0,0,0,5,2
0,2,5,0,0,0,0,0,0,2
0,5,0,0,0,0,0,0,2,5
0,5,2,0,0,0,0,0,0,5

0,2,3,0,0,0,0,0,3,6
0,6,0,0,0,0,0,0,0,6

0,7,0,0,0,0,0,0,0,7
0,7,0,0,0,0,0,0,2,7
0,7,2,0,0,0,0,0,0,7
0,7,0,0,0,0,0,0,3,7
0,7,3,0,0,0,0,0,0,7
0,7,2,0,0,0,0,0,2,7
0,0,1,0,0,0,0,0,7,3
0,0,7,0,0,0,0,0,1,3
1 is replicator, 2 is destructible (in-phase) blinker, 3 and 4 are technical states that somehow get it to work, 5 and 7 are the two possible endcap positions that keep the replicators in phase, and 6 indicates things have gone wrong (spawning a sideways replicator). I'm not sure why I numbered them like that. One generation corresponds to six steps, and one cell corresponds to three cells.

Some patterns:

Code: Select all

x = 506, y = 1, rule = B2-a4S1Emulator
A.A7.A4.B86.A10.B.B18.A12.B8.EA.E.E2.A2.E.EA6.E.EA3.E.EA5.E.E5.A8.BE.
E2.A3.E.E3.A13.BE.E3.A4.E.E3.A6.E.E4.A18.BE.E3.A5.B5.BE15.G6.A12.G.G
12.A19.G.G6.A13.G.G16.A4.G.G12.A11.G24.G.A.D.D.D.E.E.A9.G!
The oscillators there correspond to these oscillators (though I think two are missing):

Code: Select all

x = 271, y = 125, rule = B2-a4/S1
70bo118bo53bo$65bo3bobo78bo37bobo19bo31bobo$77bobo86b4o3b4o59bobo11b4o
14bobo$65bo3bobo78bo37bobo19bo31bobo$70bo118bo53bo6$70bo133bo31bo$59bo
9bobo123bo7bobo25bo3bobo31bo$77bobo129bobo31b4o$59bo9bobo123bo7bobo25b
o3bobo31bo$70bo133bo31bo6$70bo133bo$53bo15bobo117bo13bobo$77bobo129bob
o$53bo15bobo117bo13bobo$70bo133bo6$64bo136bo$63bobo120bo13bobo7bo$49bo
bo2b3o20bobo$63bobo120bo13bobo7bo$64bo136bo6$64bo127bo$47bo15bobo117bo
7bobo4bo$71b4o2bobo118bo10bobo$47bo15bobo117bo7bobo4bo$64bo127bo6$64bo
5bo97bo$63bobo3bobo87bo7bobo$55bobo19bobo129bobo$63bobo3bobo87bo7bobo$
64bo5bo97bo6$70bo91bo$53bo4bo10bobo81bo7bobo$58bo18bobo129bobo$53bo4bo
10bobo81bo7bobo$70bo91bo6$70bo124bo$41bo16bo10bobo78bo43bobo13bo$58bo
18bobo$41bo16bo10bobo78bo43bobo13bo$70bo124bo6$43bo23bo91bo$38bo3bobo
21bobo9bo65bo13bobo49bo$50b4o3b4o111b4o3b4o13b4o$38bo3bobo21bobo9bo65b
o13bobo49bo$43bo23bo91bo6$64bo67bo35bo$17bo4bo40bobo45bo19bobo33bobo$
22bo48b4o2bobo65b4o3b4o53bobo$17bo4bo40bobo45bo19bobo33bobo$64bo67bo
35bo6$58bo109bo$57bobo87bo19bobo$25bobo2b3o44bobo78b4o47bobo$57bobo87b
o19bobo$58bo109bo6$5bo29bo$o3bobo27bobo$12b4o3b4o50b3o2bobo$o3bobo27bo
bo$5bo29bo6$65bo$24bo4bo17bo16bobo$29bo17bo24b4o2bobo$24bo4bo17bo16bob
o$65bo!
Additionally, there are actually two simple replicator-based puffers (which are both in the emulated pattern), they just look very similar and have identical output:

Code: Select all

x = 48, y = 16, rule = B2-a4/S1
bo5bo23bo$obo3bobo21bobo$38b4o3b3o$obo3bobo21bobo$bo5bo23bo7$13bo$12bo
bo$26b4o3b4o8b3o$12bobo$13bo!
This allows for a true p36 c/2 rake, as opposed to the other ones which had p72 parts (also spaceships though I haven't bothered to explicitly construct one):

Code: Select all

x = 49, y = 86, rule = B2-a4/S1
14bobo$13bo3bo$14bobo12$15bo$15bo$15bo6bobo$15bo5bo3bo$22bobo3$15bo$
15bo$15bo$15bo2bo$16bo6bo$16bo6bo$2bo20bo22bo$5o39b5o$2bo43bo2$23bo$
23bo$23bo3$14bobo$13bo3bo$14bobo$2bo43bo$5o17bobo19b5o$2bo18bo3bo20bo$
22bobo4$17b2o5$15bo$15bo$15bo4$2bo12bo30bo$5o10bo28b5o$2bo12bo30bo3$
18bo11bo$2bo14b3o9b3o14bo$5o11bo3bo7bo3bo11b5o$2bo43bo$16bo3bo7bo3bo$
17b3o9b3o$18bo11bo7$2bo12bo30bo$15bo$2bo12bo30bo7$8bobo$10bo!
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Re: B2-a4/S1

Post by toroidalet » July 23rd, 2017, 10:24 am

glider_rider wrote:This allows for a true p36 c/2 rake, as opposed to the other ones which had p72 parts (also spaceships though I haven't bothered to explicitly construct one):

Code: Select all

x = 49, y = 86, rule = B2-a4/S1
14bobo$13bo3bo$14bobo12$15bo$15bo$15bo6bobo$15bo5bo3bo$22bobo3$15bo$
15bo$15bo$15bo2bo$16bo6bo$16bo6bo$2bo20bo22bo$5o39b5o$2bo43bo2$23bo$
23bo$23bo3$14bobo$13bo3bo$14bobo$2bo43bo$5o17bobo19b5o$2bo18bo3bo20bo$
22bobo4$17b2o5$15bo$15bo$15bo4$2bo12bo30bo$5o10bo28b5o$2bo12bo30bo3$
18bo11bo$2bo14b3o9b3o14bo$5o11bo3bo7bo3bo11b5o$2bo43bo$16bo3bo7bo3bo$
17b3o9b3o$18bo11bo7$2bo12bo30bo$15bo$2bo12bo30bo7$8bobo$10bo!
18c/36 ship:

Code: Select all

x = 49, y = 86, rule = B2-a4/S1
14bobo$13bo3bo$14bobo12$15bo$15bo$15bo6bobo$15bo5bo3bo$22bobo3$15bo$
15bo$15bo$15bo2bo$16bo6bo$16bo6bo$2bo20bo21bobo$5o39bo3bo$2bo42bobo2$
23bo$23bo$23bo3$14bobo$13bo3bo$14bobo$2bo42bobo$5o17bobo19bo3bo$2bo18b
o3bo19bobo$22bobo4$17b2o5$15bo$15bo$15bo4$2bo12bo29bobo$5o10bo28bo3bo$
2bo12bo29bobo3$18bo11bo$2bo14b3o9b3o13bobo$5o11bo3bo7bo3bo11bo3bo$2bo
42bobo$16bo3bo7bo3bo$17b3o9b3o$18bo11bo7$2bo12bo$15bo29b3o$2bo12bo7$8b
obo$10bo!
I'm leaving the optimization to someone else.
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

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glider_rider
Posts: 88
Joined: February 20th, 2013, 5:41 pm
Location: CA

Re: B2-a4/S1

Post by glider_rider » August 3rd, 2017, 4:46 pm

Smaller c/2 rake:

Code: Select all

x = 50, y = 81, rule = B2-a4/S1
16bobo$15bo3bo$16bobo7$17bo$17bo$17bo4$17bo$17bo6bobo$17bo5bo3bo$24bob
o6$16bobo$15bo3bo$16bobo2$24bobo$23bo3bo$24bobo6$17bo2b2o$19bobo$15bo
2bo2$18bo$20bo4$17bo$17bo$17bo4$17bo$17bo$17bo3$26bo$25b3o$24bo3bo2$
24bo3bo$25b3o$17bo8bo$17bo$17bo29bo$17bo27b5o$2bobo42bo$bo3bo$2o3b2o
36bo$bo15bo27bo3bo$2bo3bo10bo27bo$3b2o12bo27b2o$3bo44bo$3bo2bo$2b2o37b
o$42bo$40bo2$7bo2bo$7b3o30b3o$8bo!
More oscillators:

Code: Select all

x = 160, y = 94, rule = B2-a4/S1
23bobobo$16bo$23bobo$14bobo$23bo$12bobobo4$11bobo2$102bobo35bo$140bo$
8bobobo$131bo8bo11bo$8bobo120bo8bo2$8bo93bobo5bo20bo$103bo17bo9bo$103b
o6bo4$90bo5bo$12bobo51bo30b2o53b2ob2o$64bo25bo5bo$63bo4bo$37bo27bo$39b
o22bo4bo$37bo28bo$12bobo5bo18bo24bo53b2ob2o$13bo82bobo$13bo6bo$74bo9bo
70b2ob2o$74bobo5bobo$55bo$o5bo52bo3bo$7b2o47bo4bo$o5bo50bo2bo16b2ob2o$
55bo65b2ob2o$62bo$57bo2bo$9bo46bo4bo17bo$7bobo44bo3bo$62bo$79bo66bo9bo
$146bo2$137bo8bo$77b2ob2o43bo11bo8bo$12bobo5bo7bo5bo11bo11bo3bo46bo$
13bo20bo4b2o5bo4b2o5bo78bo$13bo6bo7bo4b3o2bo6b3o2bo6b3o2bo46bo27bo$34b
o4b2o5bo4b2o5bo15bobo5bobo$34bo11bo11bo15bo9bo2$o5bo$7b2o$o5bo4$27b2o
3bo18bobo2bobo$31bo5bo$6bobo23bo4bo2$101bo6bobo$26bobo7bo16bo2bo43bobo
4bo3bo$27bo7bobo13b8o25bobo21bobo$53bo2bo43bobo$101bo$26bo4bo$26bo5bo
18bobo2bobo$31bo3b2o73bo$109bobo$101bobo21bobo$100bo3bo4bobo$101bobo6b
o14$102bo2$102bo!
New c/4 tagalong:

Code: Select all

x = 17, y = 42, rule = B2-a4/S1
5b2o3b2o2$6bo3bo$4b2o5b2o$2o13b2o$4bo3bo3bo3$2ob2o7b2ob2o$bobo9bobo$2b
o11bo$3bo9bo$5bo5bo$3bo3bobo3bo$6bo3bo$5bo2bo2bo$5bo2bo2bo$7b3o$8bo$5b
ob3obo$7bobo$8bo$5b2obob2o$8bo$8bo2$8bo6$7bobo$6bo3bo$7bobo$7b3o4$8bo
2$5b2obo!
Not really useful, slightly bendable 36c/76 reburnable fuse:

Code: Select all

x = 851, y = 201, rule = B2-a4/S1
383b3o69b3o69b3o$678bo13bo$678bo13b2o$347b3o69b3o69b3o69b3o111b3o9bo7b
3o$678bo13b2o$678bo13bo$311b3o285b3o69b3o3$275b3o357b3o3$239b3o3$203b
3o3$167b3o3$131b3o3$95b3o3$59b3o3$23b3o121$833b3o$833bobo$815bobo3bobo
9bo$815bobo3bobo9bo$404b3o69b3o69b3o69b3o69b3o69b3o47b5ob5ob3o5bo$815b
obo3bobo7bobo11bo3bo$815bobo3bobo19bobo3bo$368b3o69b3o69b3o69b3o69b3o
69b3o69b3o40bo4b3o$843bobo3bo$845bo3bo$332b3o2$816bo8bo$296b3o516b3o7b
o$396bo71bo71bo71bo71bo71bo57bo3bo2$260b3o133bo71bo71bo71bo71bo71bo57b
o3bo18bo5bo$360bo71bo71bo71bo71bo71bo71bo22b3o8bobo7bobo3bobo4bo$816bo
11bo20bo$224b3o133bo71bo71bo71bo71bo71bo71bo43bobo3bobo4bo$324bo512bo
5bo2$188b3o133bo$288bo2$152b3o133bo$252bo2$116b3o133bo$216bo2$80b3o
133bo$180bo2$44b3o133bo$144bo2$8b3o133bo$108bo2$108bo$72bo2$72bo$36bo
2$36bo$o2$o!
Also, there are also two distinct kinds of c/6 fuses which are hard to distinguish:

Code: Select all

x = 286, y = 62, rule = B2-a4/S1
11$65bo15bo7bo13bo$46bo17b2o15b2o5b2o13bo$68bo9bo13bo9b3o7bobo15bobo
15bobo15bobo15bobo15bobo15bobo15bobo15bobo$46bo17b2o15b2o5b2o13bo$65bo
15bo7bo13bo23$98bo$29bo68bo20bo17bo17bo17bo17bo17bo17bo17bo17bo$97b3o$
29bo68bo20bo17bo17bo17bo17bo17bo17bo17bo17bo$98bo!
Nico Brown

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