SwirlyLife

For discussion of other cellular automata.
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Yoel
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SwirlyLife

Post by Yoel »

This rule, B34c5ae/S234e, is notable for its common swirly p104 oscillators, two of which occasionally form several varieties of natural guns:

Code: Select all

x = 150, y = 136, rule = B34c5ae/S234e
12$16b2o$15bo2bo$15b2ob2o$17bo$21bo$21b2o$20bobo3$17bo$15b5o$17bo$21b
2o$20b2obo$20b2obo$22bo21$45bo$45b2o$43bob3o$42bo2b2o$41bo3bo$41bo$39b
obo$38bo3bo$39bobo$40bo3$50bo$49bobo$52bo$47b2o2bo$47b4o$47b2o$43bo2bo
$44b3o$44b3o21$72b3o$73b2o$70bo2b2o$69bob2o$67bo$66bo3bo9b3o$67b3o9bo
3bo$68bo10bo$84bo$84bo$84bo2bo$82b2o4bo$87b3o$88bo$87bo30b3o$117bo3bo$
117bo$122bo$122bo$122bo2bo$120b2o4bo$125b3o$126bo$125bo!
Natural ships, besides regular gliders:

Code: Select all

x = 71, y = 84, rule = B34c5ae/S234e
13$29bo$30b2o$25bo3bo$24bob2obo$25bobo14$43bo$42bobo$41bo3bo$41bobobo$
41bo4b2o$42bo5bo$46bo2bo$44bo3bo$45b3o16$25bo$25bo6b2o$31bo2bo$32b4o$
32b5o$32b6o$33bo2bo$34b2o$29b2o$29b2o$29b2o!
Two common oblique puffers:

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x = 111, y = 141, rule = B34c5ae/S234e
41$64b2o$61bob4o$59bo2bobo2b2o$58b2o3bo5bo$61bob6obo$60b2o2bo5bo$49b2o
10b2o5b2o$49b2o2b2o6b3o4bo$49bo3b2o4b3o$53bo4bob2o$47b2o9bobo$37bo$38b
o3bo$39bobobo$33b3o4bo2b2o$43bo$40b2ob3o$39b2o3b2o26$79b2o$65bobo10bo
2b2o$55b2o6b2ob2o11bo2bo$54bobo11bo11bobo$53b3o7b2obobo12bo$52b3o11bo
2bo$53b2o5b2o5b2obo5b2o$54bo4b3o8b2o4b2o$55b2ob2o4bobo4bo$56b3o4bo2bob
o$41b2o2b2o10bo6bo3bo$41b2o2b2o18b4o$42b3o21bo$42b3o4b2o$42b3o4bo$36b
2o2bob2o4bo3bo$48b2ob2o$36b3ob2obo4bo2bo$41bo6b3o$41bo7bo$33b2o2bobo$
32bo4b3o$38bo!
Many common oscillators are identical to CGOL. Here are a few unique ones:

Code: Select all

x = 168, y = 133, rule = B34c5ae/S234e
29$109bobo15b2o$107b3ob3o12bo2bo$44b2o13b2ob2o9b4o10bo4bo16bobo14b4o$
44bobo12b2ob2o9b4o10b6o17bo14b2o2b2o$45b3o25b4o9bob4obo10bo19b3o2b3o$
46bobo10b2ob2o9b4o10b6o11bo6bo$47b2o10b2ob2o39b3o4bo$106bo2bo$103b3o2b
o18b2o$104bo22b2o$104bo17$46b4o$46bo2bo50b2ob2o12b2ob2o$47b2o17b6o28bo
3bo12bo3bo$46b4o50b2ob2o12b2ob2o$64b10o2$46b4o16b6o$47b2o$46bo2bo$46b
4o42b3o32b3o$92bobo32bobo2$92bobo32bobo$92b3o32b3o13$92b3o32b3o$92bobo
32bobo$49bo6bo$48bobo4bobo34bobo32bobo$47b2ob2o2b2ob2o33b3o32b3o4$43bo
18bo$42b2o18b2o$41bo22bo35b2ob2o12b2ob2o$42b2o18b2o36bo3bo12bo3bo$43bo
18bo37b2ob2o12b2ob2o3$43bo18bo$42b2o18b2o$41bo22bo$42b2o18b2o$43bo18bo
4$47b2ob2o2b2ob2o$48bobo4bobo$49bo6bo!
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Period1GliderGun
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Re: SwirlyLife

Post by Period1GliderGun »

Monomers of the p9 and p22:

Code: Select all

x = 35, y = 11, rule = B34c5ae/S234e
5b2o$5bo$2b2obo$2bobo9b2o17b2o$14bobo15bobo$15b2o15b2o$22b2ob2o$3bo17b
o2bo2bo$2bobo17b2ob2o$3ob3o$2bobo!
2-engine (22, 4)c/74:

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x = 52, y = 15, rule = B34c5ae/S234e
47b3o$32b2obo10bo2b2o$b2o20b2o7b5o10b2ob2o$b4o16bo2bo8b2obo11bobo$o4b
o14bo12bo2b2o11bo$ob2ob2o13bo12b2o2bo$bo2b2o14bo2bo3bobo5b2ob2o4b2o$2b
3o16b2o3bo2bo5bob3o4b2o$23b2o8bobo2b2o$23bo3bo3b2o$24b3o5bo3b2o$33b2o
bo$9bo10bo12b2o$9bo10bo$9bo10bo!
EDIT: p18:

Code: Select all

x = 21, y = 19, rule = B34c5ae/S234e
6b2o$6bobo$7b2o4$2bo$obo$bobo5bo$bo6bobo$8bobo$9b2o$2b2o14b2o$bobo14b
obo$b2o16b2o2$12b2o$12bobo$13b2o!
EDIT2: p14, p20:

Code: Select all

x = 40, y = 17, rule = B34c5ae/S234e
20b2o4b2o4b2o4b2o$20bobo2bobo4bobo2bobo$4bo17bo2bo8bo2bo$2bobo16bo4bo
6bo4bo$3bobo15b2o2b2o6b2o2b2o$3bo19b2o10b2o2$6bo$2o3bobo15bobo5b2o$2o
2b2ob2ob2o11bobo4bo2bo$10b2o12bo5bo2bo$30bo2bo$31b2o$7bo14b2o12b2o$8b
2o13bo12bo$6b2o12b3o14b3o$8bo11bo18bo!
2c/10:

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x = 10, y = 5, rule = B34c5ae/S234e
3o4b3o$obo4bobo$o2bo2bo2bo$3o4b3o$b2o4b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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eRroR_6o6
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Joined: August 15th, 2023, 1:24 am
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Re: SwirlyLife

Post by eRroR_6o6 »

(by the way, I just found out this rule was known (I thought it up about a month after the first post in here) so I'm slightly disappointed)

(some of my discoveries when I still thought this rule was new)

p20 reduction

Code: Select all

x = 7, y = 22, rule = B34c5ae/S234e
5b2o$5bo$2b2obo$2bobo8$2b3o$bo3bo$bo3bo$2b3o4$2bobo$bob2o$bo$2o!
another p104

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x = 48, y = 45, rule = B34c5ae/S234e
23b2o$25bo$23b2o2$16b2o$15bo2bo$15bo2bo$15bo2bo$16b2o2$23b2o$25bo$8b3o
12b2o$7bo3bo$7bo3bo$8b3o3$32bo9bo$31bobo7bobo$3bobo7bobo15bobo7bobo$3b
obo7bobo$4bo9bo3$36b3o$35bo3bo$35bo3bo$22b2o12b3o$21bo$22b2o2$29b2o$
28bo2bo$28bo2bo$28bo2bo$29b2o2$22b2o$21bo$22b2o!
edit: and also a p82 wick

Code: Select all

x = 108, y = 43, rule = B34c5ae/S234e:T108,0
21$10bo12bo22bo12bo22bo12bo$9bobo10bobo20bobo10bobo20bobo10bobo$9bo2bo
8bo2bo20bo2bo8bo2bo20bo2bo8bo2bo$10b3o8b3o22b3o8b3o22b3o8b3o$11b2o8b2o
24b2o8b2o24b2o8b2o$11b3o6b3o24b3o6b3o24b3o6b3o3$3b2o24b2o8b2o24b2o8b2o
24b2o$2bobo24bobo6bobo24bobo6bobo24bobo$b3o26b3o4b3o26b3o4b3o26b3o$2bo
bo24bobo6bobo24bobo6bobo24bobo$3b2o24b2o8b2o24b2o8b2o24b2o3$11b3o6b3o
24b3o6b3o24b3o6b3o$11b2o8b2o24b2o8b2o24b2o8b2o$10b3o8b3o22b3o8b3o22b3o
8b3o$9bo2bo8bo2bo20bo2bo8bo2bo20bo2bo8bo2bo$9bobo10bobo20bobo10bobo20b
obo10bobo$10bo12bo22bo12bo22bo12bo!

Code: Select all

x = 19, y = 37, rule = B3/S23
13b3o$12b4o$11b2obobo$13bobo$15bo12$10b2o$bobo7bobo$o7b2o3b2o$o3bo2b3o
3bo$o6b4obo$o2bo7bo$3o12bobo$18bo$14bo3bo$14bo3bo$18bo$9bo5bo2bo$8b3o
5b3o2$10bo$2bobo4b2o$5bo2b3o$5bo2b3o$2bo2bo2b2obo$3b3o3b3o$10bo!
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confocaloid
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Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: SwirlyLife

Post by confocaloid »

eRroR_6o6 wrote: January 14th, 2025, 10:17 am B34c5ae/S234e has a few oscillators, but two of them stand out for being the same period and having high periods, more than 100. [...]
Here is a failed attempt to make a glider gun using both p104 oscillators. The "blinker shooter" looks promising and probably can be used for an actual gun, but here the glider fails to escape:

Code: Select all

x = 64, y = 38, rule = B34c5ae/S234e
26b3o$24bo2bo14b2o3bo$24bo2bo12bo3b2o2bo$9bo16bo17bo2b2o$8bo2bo10bobo
13bo4bo2b3o$12bo9b3o13b2obo4b3o$6bo6bo9bo14bo4bo2b3o$9bo3bo30bo2b2o$6b
3o3bo27bo3b2o2bo$b2o39b2o3bo$o2bo$o$o2bo26b3o$2b2o2bo24bo$2b2o24bo5bo$
5b2o24bo$27bo7bo20b7o$27bo2bobo2bo19bob5obo$28b2o3b2o23b3o$28bo5bo21bo
5bo$30b3o23b2o3b2o$27bob5obo19bo2bobo2bo$28b7o20bo7bo$59bo$56bo5bo$59b
o$58b3o3$43bo3b2o$42bo2b2o3bo$42b2o2bo$42b3o2bo4bo$42b3o4bob2o$42b3o2b
o4bo$42b2o2bo$42bo2b2o3bo$43bo3b2o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
Naszvadi
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Re: SwirlyLife

Post by Naszvadi »

confocaloid wrote: January 14th, 2025, 11:58 am
eRroR_6o6 wrote: January 14th, 2025, 10:17 am B34c5ae/S234e has a few oscillators, but two of them stand out for being the same period and having high periods, more than 100. [...]
Here is a failed attempt to make a glider gun using both p104 oscillators. The "blinker shooter" looks promising and probably can be used for an actual gun, but here the glider fails to escape:

Code: Select all

x = 64, y = 38, rule = B34c5ae/S234e
26b3o$24bo2bo14b2o3bo$24bo2bo12bo3b2o2bo$9bo16bo17bo2b2o$8bo2bo10bobo
13bo4bo2b3o$12bo9b3o13b2obo4b3o$6bo6bo9bo14bo4bo2b3o$9bo3bo30bo2b2o$6b
3o3bo27bo3b2o2bo$b2o39b2o3bo$o2bo$o$o2bo26b3o$2b2o2bo24bo$2b2o24bo5bo$
5b2o24bo$27bo7bo20b7o$27bo2bobo2bo19bob5obo$28b2o3b2o23b3o$28bo5bo21bo
5bo$30b3o23b2o3b2o$27bob5obo19bo2bobo2bo$28b7o20bo7bo$59bo$56bo5bo$59b
o$58b3o3$43bo3b2o$42bo2b2o3bo$42b2o2bo$42b3o2bo4bo$42b3o4bob2o$42b3o2b
o4bo$42b2o2bo$42bo2b2o3bo$43bo3b2o!
HTH, a right-angle turner based on the converter reaction:

Code: Select all

x = 145, y = 135, rule = B34c5ae/S234e
18$45bo$46b2o$45b2o24$71bo$72b2o$71b2o18$109bo$108b3o$107bo3bo$108bo$
110bob2o$111bo2b2o$97bo16b2o$98b2o13b3o$97b2o5$115b3o$116bo$114bo3bo$
113b2o3b2o$113b2o3b2o$112bobo3bobo$113bo5bo2$116bo6$30bo79bo$31b2o78b
2o$32bo2b3o74bo2b3o$30bo2bo3b4o69bo2bo3b4o$32bo5b3o71bo5b3o$30bo2bo3b
4o69bo2bo3b4o$32bo2b3o74bo2b3o$31b2o78b2o$30bo79bo4$47b3o77b3o$47b3o
77b3o$16bo2bobo2bo22b3o46bo2bobo2bo22b3o$17bo5bo22b2ob2o46bo5bo22b2ob
2o$17b2obob2o22bo3bo46b2obob2o22bo3bo$19bobo24bo3bo48bobo24bo3bo2$18bo
3bo24bobo48bo3bo24bobo$18bo3bo22b2obob2o46bo3bo22b2obob2o$18b2ob2o22bo
5bo46b2ob2o22bo5bo$19b3o22bo2bobo2bo46b3o22bo2bobo2bo$19b3o77b3o$19b3o
77b3o4$38bo79bo$36b2o78b2o$31b3o2bo74b3o2bo$28b4o3bo2bo69b4o3bo2bo$28b
3o5bo71b3o5bo$28b4o3bo2bo69b4o3bo2bo$31b3o2bo74b3o2bo$36b2o78b2o$38bo
79bo!
Update 1:

Code: Select all

x = 45, y = 70, rule = B34c5ae/S234e
12$19bo$20b2o$19b2o12$17b3o$17b2o4b3o$11b2o8bo$17b2obo3b5o$21bo$17b2o
4b3o$7bo9b3o$7bo4$36bo$5b2obob2o24bo$5b2obob2o24bo$5bo5bo22bobobo$8bo
25bobobo$7bobo24bo3bo2$6bo3bo24bobo$6bobobo25bo$6bobobo22bo5bo$8bo24b
2obob2o$8bo24b2obob2o$8bo4$37bo$25b3o9bo$19b3o4b2o$23bo$16b5o3bob2o$
23bo8b2o$19b3o4b2o$25b3o!
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eRroR_6o6
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Joined: August 15th, 2023, 1:24 am
Location: somewhere over the rainbow

Re: SwirlyLife

Post by eRroR_6o6 »

oscillator dump

billiard tables which may or may not be known (feel free to reduce)

Code: Select all

x = 80, y = 75, rule = B34c5ae/S234e
$49b2o2bo$49b2o2b3o$56bo15bo$49b5o2bo13b3o$48bo2bo2bob2o11bo$48bo5bo
13bob5o$45b2obo2bo2bo13bo2bo3bo$46bo2b5o11b2obobobobo2bo$46bo18bo2bobo
bobob2o$47b3o2b2o13bo3bo2bo$49bo2b2o14b5obo$26b2ob2o2b2o38bo$25bobobob
o2bo35b3o$25bobobob2o37bo$24b2obob2o2b4o$27bob4o3bo$27bo5bo$28b5o2$30b
o14bo$29bobo12bobo$30bo14bo2$43b5o$42bo5bo7b2ob2o$39bo2bobobobo2bo4b2o
b2o$38bobobo5bobobo$39bo2bobobobo2bo4b2ob2o$42bo5bo7b2ob2o$43b5o2$45bo
$44bobo$6b2o37bo$6bobo$8bo$7bob2o$5b3o3bob2o$4bo4bobob2o18bo$5b3obobo
20bobo$7bobobo16b2obobobo$8bobo17b2obo3bo$6bobobobo18b2ob2ob2o$6b2o3b
2o18bo4bobo$32b4o2$32b2o$32b2o7$20b2o$20b2o2$16b2o2b4o2b2o$16bo2bo4bo
2bo$17bobobobob2o$16b2obo3bobo$20b3o2bo$25b2o$20b3o$19bo2bo$19b2o!
extensible osc family (based off the filled 4x4 osc)

Code: Select all

x = 102, y = 62, rule = B34c5ae/S234e
15bo74bo$14bobo29b2o41bobo$15bo30b2o42bo2$13b5o26b6o38b5o$12bo5bo24bo
6bo36bo5bo$11bo7bo22bo8bo34bo7bo$11bo7bo22bo8bo31bo2bo7bo2bo$8b2obo7bo
b2o16b2obo3b2o3bob2o27bobobo7bobobo$8b2obo7bob2o16b2obo3b2o3bob2o28bo
2bo7bo2bo$11bo7bo22bo8bo34bo7bo$11bo7bo22bo8bo35bo5bo$12bo5bo24bo6bo
37b5o$13b5o26b6o$90bo$15bo30b2o41bobo$14bobo29b2o42bo$15bo4$49b2o$50bo
$50bob2o$51bobo2$49b7o$48bo7bo$47bo9bo4bo$47bo9bo2b3o$44b2obo9bobo$44b
o2bo3bo5bo2bo$45bobo3b2o4bob2o$42b3o2bo9bo$42bo4bo9bo$48bo7bo$49b7o$
13b2o$13b2o36bobo$51b2obo$11b4o39bo$11bo2bo39b2o2$9b8o$8bo8bo$7bo10bo$
7bo10bo$b2ob2obo10bob2o$b2obo2bo4b2o4bo2bo$4bo2bo4b2o4bo2bob2o$4b2obo
10bob2ob2o$7bo10bo$7bo10bo$8bo8bo$9b8o2$11bo2bo$11b4o2$11b2o$11b2o!
i don't know why it took me so long to notice that the other p104 was extensible

Code: Select all

x = 104, y = 105, rule = B34c5ae/S234e
4$52b2o$54bo$52b2o2$45b2o$44bo2bo$44bo2bo$44bo2bo$45b2o2$52b2o$54bo$
37b3o12b2o$36bo3bo$36bo3bo$37b3o3$61bo9bo$60bobo7bobo$32bobo7bobo15bob
o7bobo$32bobo7bobo$33bo9bo3$65b3o$64bo3bo$64bo3bo$24b2o39b3o12b2o$26bo
55bo$24b2o54b2o2$17b2o54b2o$16bo2bo52bo2bo$16bo2bo52bo2bo$16bo2bo52bo
2bo$17b2o54b2o2$24b2o54b2o$26bo55bo$9b3o12b2o54b2o$8bo3bo$8bo3bo$9b3o
3$89bo9bo$88bobo7bobo$4bobo7bobo71bobo7bobo$4bobo7bobo$5bo9bo3$93b3o$
92bo3bo$92bo3bo$23b2o54b2o12b3o$22bo55bo$23b2o54b2o2$30b2o54b2o$29bo2b
o52bo2bo$29bo2bo52bo2bo$29bo2bo52bo2bo$30b2o54b2o2$23b2o54b2o$22bo55bo
$23b2o12b3o39b2o$36bo3bo$36bo3bo$37b3o3$61bo9bo$60bobo7bobo$32bobo7bob
o15bobo7bobo$32bobo7bobo$33bo9bo3$65b3o$64bo3bo$64bo3bo$51b2o12b3o$50b
o$51b2o2$58b2o$57bo2bo$57bo2bo$57bo2bo$58b2o2$51b2o$50bo$51b2o!

Code: Select all

x = 19, y = 37, rule = B3/S23
13b3o$12b4o$11b2obobo$13bobo$15bo12$10b2o$bobo7bobo$o7b2o3b2o$o3bo2b3o
3bo$o6b4obo$o2bo7bo$3o12bobo$18bo$14bo3bo$14bo3bo$18bo$9bo5bo2bo$8b3o
5b3o2$10bo$2bobo4b2o$5bo2b3o$5bo2b3o$2bo2bo2b2obo$3b3o3b3o$10bo!
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