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toroidalet

Come on, Mr. President, even you can't make Eden great again. You'll just have to accept that.

toroidalet

Ridiculously simple fire salvo (which unfortunately fires the same lanes as my earlier fires), although it still suffers from a quadratic blowup: x = 119, y = 115, rule = B3-ckr5y/S2-i3-aek4ci5c 2bo$obo$b2o28$32bo$30bobo$31b2o28$62bo$60bobo$61b2o27$91bo$89bobo$90b 2o5$104bobo$105b2o$105bo5$108bo$107...

toroidalet

I empirically measured the decay speeds of some giant blobs of space junk (I was referring to these types of ships and assumed you were too; I guess I wasn't thorough enough in my exception for "engineered" spaceships), and for ships of all different speeds they seem to be roughly the same, somewher...

toroidalet

Partial spaceships decay at about the speed of light, so if you tried to incrementally synthesize a long spaceship, you would find the formed part decaying away from the direction you're synthesizing it faster than you could put the next components in (especially since it takes a massive blob of sti...

toroidalet

126:

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x = 19, y = 29, rule = B3/S23
3b2o$3bobo$4b2o2$2b3obo$bo2bob3o$b2o6bo$5b2obo2b2o$4bobob3obo$5bo$6b3o
b2o$8b2obo$3b2o$3bo4b3o$5bobo3bo$4b2ob2ob2o$4bo9bo$5bob8o$4b2obo7b2obo
$5bobob4o2bob2o$2bo2bobobo3bobo$bobobobobo2b2obo$2bo2bobobobo2bo$3b2o
2bo2b2obo$3o4bo4bo$o2b2o3b4o$b2o2bo$4b2o4b2o$10b2o!

toroidalet

Here's a first start for slow-salvo construction: you can get at least 2 glider lanes (hd mod 6), but it's really inefficient: x = 386, y = 399, rule = B3-ckr5y/S2-i3-aek4ci5c o$b2o$2o28$30bo$31b2o$30b2o8$17bo$15bobo$16b2o20$63bo$61bobo$62b2o6$ 47bo$45bobo$46b2o28$77bo$75bobo$76b2o16$119bo$117bobo$1...

toroidalet

(1) (easy) Suppose we arrange all rational numbers between [0,1) into an array. Now construct a number x such that the i'th digit after the decimal point of x is identical to the i'th digit after the decimal point of the i'th rational number, i=1,2,3,.... Prove: x is irrational. Consider a number w...

toroidalet

You input a number of generations and it gives you a list of rules that the sequence works in (not an LLS partial rule). It works with any pattern whatsoever.

toroidalet

# Rule computation script for use with Golly. # Author: Nathaniel Johnston (nathaniel@nathanieljohnston.com), June 2009. # Updated by: Peter, NASZVADI (), June 2017. # Gives the maximal family of rules that a still life, oscillator, or spaceship # works under. Must be called while the rule is set o...

toroidalet

44c/104 ship: x = 4879, y = 33, rule = B3-ckr5y/S2-i3-aek4ci5c 2b2o$2o2b2o$o2bo2b2o$4o2b2o$2bobo2b2o$3bo3bo4b3o37b3o37b3o37b3o13b3o 21b3o5b3o29b3o13b3o21b3o5b3o13b3o5b3o5b3o29b3o5b3o5b3o5b3o5b3o13b3o13b 3o13b3o5b3o29b3o37b3o5b3o5b3o5b3o5b3o21b3o13b3o13b3o21b3o37b3o13b3o13b 3o13b3o13b3o29b3o5b3o21b3o...

toroidalet

16c/48 (c/3) ship: x = 195, y = 68, rule = B3-ckr5y/S2-i3-aek4ci5c 17bo$7bo$6bo2bo6b2o5bo$5b2o3bo4b2o$4bobo3bo2bo8b2o$4bob3obo2bo7b2o$4b 2obo3bo3bo2bobo$6bobo3b4o2bo$2b2o9bobo2bo2b2o88b3o21b3o13b3o37b3o$2bob 3o7bob2o4b2o87bo2bo19bo2bo13bo2bo35bo2bo$b2o2b2o7bobo17bo7bo15bo23bo7b o20b3o21b3o13b3o36bo2...

toroidalet

It's just rule 90 but the copies are out of sync (there are a few examples of this earlier in the thread, like dani's replicator gun). EDIT: Rule that generates the triangle (from here ): @RULE SlantPinski @TABLE n_states:3 neighborhood:Moore symmetries:none var a{0,1,2} var b=a var c=a var d=a var ...

toroidalet

233P3H1V0. I think there might even be c/2 examples (where it advances 3 and falls back 1) but I'm not sure.

toroidalet

16c/154 4-barrel rake: x = 23, y = 56, rule = B3-ckr5y/S2-i3-aek4ci5c 3bobo$4b2o$4bo$16bo$17bo$15b3o$19bo$18bobo$17bobobo$16bobobobo$17bobob o$18bobo$19bo2$3bo$2bobo$bobobo$obobobo$bobobo$2bobo$3bo12$2bo$obo$b2o 4$16bo$17bo$15b3o$19bo$18bobo$17bobobo$16bobobobo$17bobobo$18bobo$19bo 2$3bo$2bobo$bobob...

toroidalet

p184:

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x = 16, y = 19, rule = B2ein3-n4iz/S2-in3-a
15bo$3o$o2bo9bobo$3o$15bo10$15bo$3o$o2bo9bobo$3o$15bo!

toroidalet

15. a rake, that creates rakes, which create rakes, which create spaceships (rake rakes are mentioned here but this is a rake rake rake :0 ) Here's an example rake^3 I just made up; as you can see eventually the cubic growth eventually returns to quadratic due to running out of space: @RULE rake^3 ...

toroidalet

5. a cellular automata that makes music Here is an example of music from CA (not a rickroll). I think the person did this in the trivial way (where you play each frequency iff the cell is on) but I'm not sure. 23. one from wzkchem5, two inequivalent cellular automata A and B such that both are turi...

toroidalet

way smaller p482 gun (EDIT: this answers Moosey's challenge above): x = 55, y = 56, rule = B2i3-kq4j6ci8/S234j 6b2o12b2o$6b2o12b2o21b2o$43b2o6$24bo$23bobo$24bo$b2o$b2o11bo$13bobo$ 14bo2b2o$17b2o2$53b2o$13b2o38b2o$13b2o4$14b2o$5bo8b2o$3bobo18bo$2o2b2o 17bobo$2o22bo12bo$37bobo$37b2o5$47b2o$47b2o7$44bo...

toroidalet

3. a pattern that will survive forever, yet will never return to any of it's prior positions Can you clarify what you mean by this? Here are some patterns which may or may not qualify (EDIT: actually most of the complex Life patterns like the primer and caber tosser and exotic growth rate probably ...

toroidalet

The original:

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https://www.youtube.com/watch?q=ub82jb1C8os

The code:

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Starting from a=0, a letter's new value becomes 8+5*(original value) mod 26.

toroidalet

Snowflake evolves from the traffic light in B3-qy4e/S23-c4yz, and is reasonably common: x = 3, y = 2, rule = B3-qy4e/S023-c4yz 3o$bo! Bakery also evolves into a nice p2: x = 5, y = 5, rule = B3-qy4e/S023-c4yz 2b3o$bo2bo$o3bo$bobo$2bo! Unsurprisingly, weird still lives are more common, but otherwise ...

toroidalet

Smaller: x = 266, y = 187, rule = B3-er4city/S23-a4city 97bo$bo35bo59bo$bo35bo57b5o50bo$3o33b3o55b2o3b2o48b3o$obo33bobo54b2obo bob2o46bobobo$obo33bobo55b2o3b2o46b2obob2o$obo33bobo109b5o$149b3o2$obo 33bobo$obo33bobo$obo33bobo180b3o14b3o$3o33b3o196bo3bo$bo35bo179b2obob 2o11bo3bo$bo35bo56b2o3b2o48b3o65...

toroidalet

p92: x = 18, y = 18, rule = B3-q4ceky5-ekny6cei7e/S2ace34ci5ck6ce78 2b2o$2b2o$16b2o$16b2o3$5bo$4bo2bo$6bo$5bobo2$11b2o$10bobo$9bobobo$2o7b 2o$2o9bo$14b2o$14b2o! A replicator in a B1e rule that shoots ships and is slower than c: x = 3, y = 5, rule = B1e2-an3jkry4ejtw5cey6c7c8/S3ckny4cknqy5jq6e bo$obo...

toroidalet

We had 2846 users 3 hours ago. Again, there doesn't seem to be any cause. It seems too large to be normal (non-breakthrough) activity, but too small to be an attack.

toroidalet

15, including 3 puffers (the longest is 26): x = 27, y = 311, rule = B3aij4nt5nr6i/S2-ac34inrtz 25bo$26bo$22bo3bo$23b4o9$25bo$26bo$21bo4bo$22b5o12$25bo$26bo$20bo5bo$ 21b6o9$25bo$26bo$19bo6bo$20b7o10$25bo$26bo$17bo8bo$18b9o9$25bo$26bo$ 15bo10bo$16b11o17$25bo$26bo$14bo11bo$15b12o11$25bo$26bo$12bo13bo$...

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Re: Thread for your Trolls

Re: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)

Re: Spaceship Discussion Thread

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Re: Absolutely Useless Patterns Not Worthy Of Patterns Thread

Re: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)

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Re: Thread for your script-related questions

Re: Harvest Moon (B3-ckr5y/S2-i3-aek4ci5c)

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Re: Rules with interesting replicators

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Re: B3-ckr5y/S2-i3-aek4ci5c

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: random cellular automata concepts

Re: random cellular automata concepts

Re: Taulife (B2i3-kq4j6ci8/S234j)

Re: random cellular automata concepts

Re: Secret codes

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Re: Galloping Gliders (B3-er4city/S23-a4city)

Re: Rules with interesting replicators

Re: c/10 spaceship beat Gemini's record

Re: XWSS Challenge