## B3/S345

For discussion of other cellular automata.

### Re: B3/S345

could someone help me find a period for these?
x = 117, y = 41, rule = B3/S34511$62bo17bo$62b2o15b2o$62b2o15b2o$60bobo2bo11bo2bobo$58b8ob3o3b3ob8o$14b2o15b2o25b2o5b3obo3bob3o5b2o$14b2o15b2o27b6o2b3ob3o2b6o$12bobo3bobo5bobo3bobo25b2obo3b2o5b2o3bob2o$10b8ob2o5b2ob8o31b2o3b2o$10b2o5b3obo3bob3o5b2o29bobobobobobo$12b6o2b2o3b2o2b6o29b7ob7o$12b2obobob2o5b2obobob2o29b2obob2ob2obob2o$17b2ob2o3b2ob2o35bobo2bobo2bobo$17b2obo5bob2o35b6ob6o$16b2ob3o3b3ob2o35bo3bobo3bo$17bobobo3bobobo35b2ob2o3b2ob2o$17bo3bo3bo3bo35bob2o5b2obo$16b2ob4ob4ob2o35bobo5bobo$16b3o2bo3bo2b3o34b2ob2o3b2ob2o$18b2ob2ob2ob2o37bobo5bobo$18b2ob2ob2ob2o36b2ob2o3b2ob2o$65b2ob2o3b2ob2o!
hought99

Posts: 39
Joined: October 8th, 2014, 9:02 pm

### Re: B3/S345

You can do this in Golly by running the script called "oscar". They have periods 300 and 932.

Macbi

Posts: 691
Joined: March 29th, 2009, 4:58 am

Reductions:
x = 61, y = 20, rule = B3/S3453b3o15b3o13b3o15b3o$4b3o13b3o15b3o13b3o$2bobo17bobo11bobo17bobo$8ob2o5b2ob8o7b8ob2o5b2ob8o$2o2bobob2obo3bob3o2bo2b2o7b2o2bo2b3obo3bob3o2bo2b2o$10b2o3b2o27b2o3b2o$10bo5b2o25b2o5b2o$7b2ob2o3b2obo25b2o3b2o$7b2obo5bob3o23bo5bo$6b2ob2o5b2ob2o22b2o5b2o$7bobo7bobo23bo7bo$7bo2bo5bo2bo22b3o5b3o$6b2ob4ob4ob2o22b2o5b2o$6b3o2bo3bo2b3o21bo9bo$8b2ob2ob2ob2o21b3ob2o3b2ob3o$8b2ob2ob2ob2o21b2ob4ob4ob2o$44bo5bo$44b2o3b2o$43b2o5b2o$43b2o5b2o! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1890 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: B3/S345 here is a neat example of chaos in life x = 49, y = 57, rule = B3/S3456$22b2o2bo2b2o$21bob7obo$21b2o2bobo2b2o$19b2obob2ob2obob2o$4bo2b2o9bob6ob6obo$4bo2bo10b2obo9bob2o$4bo3bo10bob2o7b2obo$4bo2b2o9b2obo9bob2o$18bob6ob6obo$19b2obob2ob2obob2o$21b2o2bobo2b2o$21bob7obo$22b2o2bo2b2o8$22b2o2bo2b2o$21bob7obo$21b2obo3bob2o$19b2obob2ob2obob2o$5b2o4b2o5bob6ob6obo$6bo4bo6b2obo9bob2o$5bo5b2o6bob2o7b2obo$6bo4b2o5b2obo9bob2o$5b2o11bob6ob6obo$19b2obob2ob2obob2o$21b2o2bobo2b2o$21bob7obo$22b2o2bo2b2o! hought99 Posts: 39 Joined: October 8th, 2014, 9:02 pm ### Re: B3/S345 some high period oscillators x = 1457, y = 623, rule = 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$203b5ob5o9bo7bo$204bo2bobo2bo9b2o7b2o$204b4ob4o10b2o5b2o$203b2o7b2o9bo7bo$204b4ob4o9b2o7b2o$204bo2bobo2bo9bo9bo$203b5ob5o7b5o3b5o$203bo2bo3bo2bo7b2ob2o3b2ob2o$202b3o7b3o7bo2b2ob2o2bo$202b2o2bo3bo2b2o7b4o3b4o$203bobo5bobo9bobo3bobo$203b5ob5o8b2o7b2o$204bob2ob2obo10b4ob4o$203b2obo3bob2o9bo2bobo2bo$204b4ob4o9b2ob2ob2ob2o$204bo2bobo2bo9b2ob2ob2ob2o$203b2ob2ob2ob2o$203b2ob2ob2ob2o! hought99 Posts: 39 Joined: October 8th, 2014, 9:02 pm ### Re: B3/S345 What seems to be a signal (found accidentally with dr): x = 39, y = 48, rule = B3/S34515b2o4b2o$15b2o4b2o$16bob2obo$15bobob3o$15b2obobob2o$13b2o2b2o3b2o4b2o$13b3ob3o2bob2o2b2o$15b4o2b2obobobob2o$16bob4obob3o2b2o$16bobobob4o2b2o2b2ob2o$12b2ob2obo2b2o2b2ob2o2bob3o$12b3ob3o3b2ob2o2b5o$14b2o2bobo3bob2obo3bob2o$14b2o3b4ob2obob8o$18b2o2b2o4bobo4bo$18b2o4b5ob2o2b2o$24b2o3b2o2bobob2o$26b2o2bob4ob2o$26b4o2bobo$28bob2o2bo$20b2o4b3obob4o$20b2o4b2o3b3obo$21b2ob2o2bob2o3b3o$20b2ob7o3b2ob2o$20b2o8b5o$18b2ob3o2b5obo2b3o$16b3obo2b4obobobobob2o$14b3o2b2ob2o2b2o2bob2obo$12b3ob4o2b2ob2o3b2ob5o$10b4obo3bob2obo3bobob2o2b2o$10b2o2b6obob2ob4o$12b2o4bobo3b3o2b2ob2o$12b3o2b2ob2ob2o4b2ob2o$13bobo2b2obob2o$3b2obob2o2bob3obo2b2o$3b5ob6obo2b4o$5bo3bo4bo2b2obo$5b12obo$3b2obobobobo2b5o$2bob2ob2o4b2o3b2o$4o3b2o5bobo$2o2b4o6b6o$3b2o2bobob2obo3b2o$4b2o2b4ob3o$3b2o8bobo$3b2o3b2o3b2o$8b2o4b2o$14b2o!

I think there's a translative element and a turn in there, which is probably enough for omniperiodicity, but I'm having trouble fitting the pieces together.

EDIT:
Eaters:
x = 10, y = 10, rule = B3/S3454bobo$4bobo$4b3o$5bo3$2bob2o2b2o$4ob5o$2o5bo!

x = 13, y = 19, rule = B3/S3455bobo$5bobo$5b2o$5b2o3$2obobo2bobo$13o$2bobo2bobob2o7$6b2o$6b2o$5bobo$5bobo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1879
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: B3/S345

There is a translative element but I couldn't find a turn
x = 39, y = 116, rule = B3/S34515b2o4b2o$15b2o4b2o$16bob2obo$15bobob3o$15b2obobob2o$13b2o2b2o3b2o4b2o$13b3ob2o3bob2o2b2o$15b4o2b2obobobob2o$16bo2b3obob3o2b2o$16bobobob4o2b2o2b2ob2o$12b2ob2obo2b2o2b2ob2o2bob3o$12b3ob3o3b2ob2o2b5o$14b2o2bobo3bob2obo3bob2o$14b2o3b4ob2obob8o$18b2o2b2o4bobo4bo$18b2o4b5ob2o2b2o$24b2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$28bob2o2bo$23b2ob3obob4o$23b2ob2o3b3obo$19b2o4bo2bob2o3b3o$19b2o2b7o3b2ob2o$17b2obobobo5b5o$17b2o2b3o2b5obo2b3o$12b2ob2o2b2o2b4obobobobob2o$12b3obo2b2ob2o2b2o2bob2obo$15b5o2b2ob2o3b2ob5o$12b2obo3bob2obo3bobob2o2b2o$12b8obob2ob4o$13bo4bobo4b2o2b2ob2o$13b2o2b2ob5o4b2ob2o$10b2obobo2b2o3b2o$10b2ob4obo2bo2bob2o$14bobo2b9o$14bo2b2obo$13b4obob3ob2o$13bob3o3b2ob2o$11b3o3b2obo2bo4b2o$11b2ob2o3b7o2b2o$14b5o5bobobob2o$11b3o2bob5o2b3o2b2o$11b2obobobobob4o2b2o2b2ob2o$13bob2obo2b2o2b2ob2o2bob3o$11b5ob2o3b2ob2o2b5o$11b2o2b2obobo3bob2obo3bob2o$19b4ob2obob8o$15b2ob2o2b2o4bobo4bo$15b2ob2o4b5ob2o2b2o$24b2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$28bob2o2bo$23b2ob3obob4o$23b2ob2o3b3obo$19b2o4bo2bob2o3b3o$19b2o2b7o3b2ob2o$17b2obobobo5b5o$17b2o2b3o2b5obo2b3o$12b2ob2o2b2o2b4obobobobob2o$12b3obo2b2ob2o2b2o2bob2obo$15b5o2b2ob2o3b2ob5o$12b2obo3bob2obo3bobob2o2b2o$12b8obob2ob4o$13bo4bobo4b2o2b2ob2o$13b2o2b2ob5o4b2ob2o$10b2obobo2b2o3b2o$10b2ob4obo2bo2bob2o$14bobo2b9o$14bo2b2obo$13b4obob3ob2o$13bob3o3b2ob2o$11b3o3b2obo2bo4b2o$11b2ob2o3b7o2b2o$14b5o5bobobob2o$11b3o2bob5o2b3o2b2o$11b2obobobobob4o2b2o2b2ob2o$13bob2obo2b2o2b2ob2o2bob3o$11b5ob2o3b2ob2o2b5o$11b2o2b2obobo3bob2obo3bob2o$19b4ob2obob8o$15b2ob2o2b2o4bobo4bo$15b2ob2o4b5ob2o2b2o$24b2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$28bob2o2bo$23b2ob3obob4o$23b2ob2o3b3obo$16b2ob2o4bo2bob2o3b3o$16b5o2b7o3b2ob2o$20bobobo5b5o$18b2ob3o2b5obo2b3o$16b3obo2b4obobobobob2o$14b3o2b2ob2o2b2o2bob2obo$12b3ob4o2b2ob2o3b2ob5o$10b4obo3bob2obo3bobob2o2b2o$10b2o2b6obob2ob4o$12b2o4bobo3b3o2b2ob2o$12b3o2b2ob2ob2o4b2ob2o$13bobo2b2obob2o$3b2obob2o2bob3obo2b2o$3b5ob6obo2b4o$5bo3bo4bo2b2obo$5b12obo$3b2obobobobo2b5o$2bob2ob2o4b2o3b2o$4o3b2o5bobo$2o2b4o6b6o$3b2o2bobob2obo3b2o$4b2o2b4ob3o$3b2o8bobo$3b2o3b2o3b2o$8b2o4b2o$14b2o! WADUFI Sarp Posts: 203 Joined: March 1st, 2015, 1:28 pm ### Re: B3/S345 Completed signal loop: x = 29, y = 29, rule = B3/S3459b2o5b2o$9b2o5b2o$7b2obob2o6b2ob2o$7b2o2b3o2b6ob2o$2b2ob2o2b2o2b4obobo2bo$2b3obo2b2ob2o2b2o2b3obo$5b5o2b2ob2o3bob3o$2b2obo3bob2obo3bobobo2b2o$2b8obob2ob5obo2b2o$3bo4bobo4bobo2b5o2b2o$3b2o2b2ob6o2b2o3b2ob3o$2obobo2b2o3bob2obob2o3bo$2ob4obo2bobobo2bo2b3ob2o$4bobo2b5ob4obob5o$4bo2b2obo3bo3bob3obo$2b5obob4ob5o2bobo$2b2ob3o2bo2bobobo2bob4ob2o$3bo3b2obob2obo3b2o2bobob2o$3ob2o3b2o2b6ob2o2b2o$2o2b5o2bobo4bobo4bo$2b2o2bob5ob2obob8o$2b2o2bobobo3bob2obo3bob2o$4b3obo3b2ob2o2b5o$4bob3o2b2o2b2ob2o2bob3o$5bo2bobob4o2b2o2b2ob2o$4b2ob6o2b3o2b2o$4b2ob2o6b2obob2o$11b2o5b2o$11b2o5b2o! I like making rules fluffykitty Posts: 618 Joined: June 14th, 2014, 5:03 pm ### Re: B3/S345 Woah, this rule has droves of tiny billiard tables everywhere! Here's an asymmetric p32. (found by scribbling randomly in the viewer and examining the explosions) x = 17, y = 20, rule = B3/S3454b2ob2o2b2o$4b2ob2o2b2o$2b2o2bob3ob2o$2b6o2b2o2bo$5bob3o2b3o$2b4obo2b2o3b2o$2b2obo3b2ob5o$2obob2obob4o$6ob4o3b3o$2bo2b2o3b4ob2o$2b4ob2obobobo$2obobo3b2obobo$3ob2obo2b6o$4bob4obobobo$5o4bo3b2o$2ob7obobo$2bo2bo2bob5o$2ob2ob2ob2o2b2o$2obob3ob2o$4b2o!

At the moment, I don't have the software or patience to transcribe all these onto a .RUL file.

Layz Boi

Posts: 41
Joined: October 25th, 2018, 3:57 pm

### Re: B3/S345

Layz Boi wrote:Here's an asymmetric p32.
(found by scribbling randomly in the viewer and examining the explosions)
x = 17, y = 20, rule = B3/S3454b2ob2o2b2o$4b2ob2o2b2o$2b2o2bob3ob2o$2b6o2b2o2bo$5bob3o2b3o$2b4obo2b2o3b2o$2b2obo3b2ob5o$2obob2obob4o$6ob4o3b3o$2bo2b2o3b4ob2o$2b4ob2obobobo$2obobo3b2obobo$3ob2obo2b6o$4bob4obobobo$5o4bo3b2o$2ob7obobo$2bo2bo2bob5o$2ob2ob2ob2o2b2o$2obob3ob2o$4b2o! Stator reduction: x = 19, y = 17, rule = B3/S3457b2ob2o$7b2ob2o$5b2o2bob3ob2o$5b6o2b2ob3o$8bob3o2bob2o$5b4obo2b2o$5b2obo3b2o$2ob2obob2obob2o$9ob4o$5bo2b2o3b2o$2b2ob4ob2obo$2b2ob2obo3b2o$7b2obo2b3o$6obob3o2b2o$2o2b2ob2o3b2o$8b2o2b2o$8b2o! It does tell us that there is a strategy for finding more oscillators like these: 1. Run a random soup on a torus 2. Wait 200 generations 3. Isolate regions of activity 4. Run these areas until they become locally periodic 5. Find the minimal stator for each of these rotors x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 457 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: B3/S345 Methuselahs in B3/S345 (Non record-breakers are not counted): 1-cell bounding box: 1G x = 1, y = 1, rule = B3/S345o! 3-cell bounding box: 2G x = 1, y = 3, rule = B3/S345o$o$o! 5-cell bounding box: 3G x = 1, y = 5, rule = B3/S345o$o$o$o$o! 6-cell bounding box: 9G x = 2, y = 3, rule = B3/S3452o$2o$2o! 8-cell bounding box: 11G x = 2, y = 4, rule = B3/S345bo$bo$2o$bo!

9-cell bounding box: 13G
x = 3, y = 3, rule = B3/S3452bo$b2o$3o!

10-cell bounding box: 14G
x = 2, y = 5, rule = B3/S3452o$2o$bo$2o$2o!

11-cell bounding boxes fail to produce any more record-breakers.

The smallest infinite-growth pattern in B3/S345 is this, with a 9-cell bounding box:
x = 3, y = 3, rule = B3/S3452bo$3o$3o!

Compare this with the smallest infinite-growth pattern in Life, with a 24-cell bounding box:
x = 2, y = 12, rule = B3/S232o2$bo$2o$2o$bo$o$2o$2o$o$o$2o!
CoolCreeper39

Posts: 58
Joined: June 19th, 2019, 12:18 pm

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