## Challenges

A forum where anything goes. Introduce yourselves to other members of the forums, discuss how your name evolves when written out in the Game of Life, or just tell us how you found it. This is the forum for "non-academic" content.

x = 37, y = 6, rule = B3/S234b2o13b2o13b2o$3bo2bo11bo2bo11bo2bo$3bob2o11bob2o11bob2o$2obo12b2obo12b2obo$o2bo12bo2bo12bo2bo$b2o14b2o14b2o! gmc_nxtman Posts: 1146 Joined: May 26th, 2015, 7:20 pm ### Re: Challenges A for awesome wrote:[nevermind]2. Find a non-explosive B1e rule.[/nevermind] This one has been solved by @gmc_nxtman. Feel free to come up with other examples, though. If you allow rules with B0, this is easy: x = 20, y = 20, rule = B01/S3obob3o2bo2b2obobo$b2o7b3o2b2o2bo$3o2bo2b3ob5obo$2bobob2obob3ob3o$ob4o3b4o3b3o$2ob2o2bobo3b2obo$4bo2bo5bo3bo$o3b3obo2bo7bo$3obobo2b2ob4o$2bob2o3bobo2b2o3bo$b2ob3o2b4obo2bobo$b2obo2b3o7b3o$2bobo2bob3o2b3obo$ob2o3b4o2bobob2o$o2bo3b3o2bo2b2obo$2o2b2obob6obob2o$3bobo2b3obob3o2bo$3o5b5ob6o$o4bo4b2ob2obobo$5obob2o2bo2b4o!

There are even non-explosive B01e rules with natural spaceships arising from soups; a few minutes of playing with Golly turned up B01e2/S4aceikn as an example:

x = 100, y = 100, rule = B01e2/S4aceikn3o5bobo4bobo7b5ob2ob11ob4o6b3ob2ob2ob2o5bo5bobobob8o4bobo$99o$b99o$100o$100o$100o$b98o$b98o$99o$99o$b98o$99o$b99o$100o$100o$b99o$100o$b99o$100o$100o$b99o$b99o$b98o$b98o$b98o$b99o$100o$99o$b98o$100o$100o$100o$b98o$99o$99o$100o$b98o$99o$99o$99o$99o$b98o$b98o$b98o$b99o$100o$b99o$100o$b98o$b99o$b98o$99o$b98o$b99o$b98o$b99o$99o$100o$b99o$b98o$b99o$b99o$b98o$99o$100o$b99o$99o$100o$99o$99o$99o$b98o$b98o$100o$b99o$100o$b99o$b99o$100o$99o$99o$99o$100o$100o$b99o$b98o$b98o$100o$b98o$99o$b98o$b98o$b98o$100o$b98o$99o$100o$99o$99o$5ob5o4bo2b3obo3b2o2b3obo3b2ob4o2b3o2bobo2b3o4b2ob6ob2o3bo3bo3bob2o2b6o! dvgrn wrote: Saka wrote:Is there a slowest possible spaceship for n cells? Well, yes, for small N these do exist, of course. But there's not ever going to be a discoverable algorithm where you input N and get back the relevant slowest possible spaceship. Well, I wouldn't quite say "never". Suppose somebody found a "nanoid", i.e. a reaction between a glider (or some other small spaceship) and a smallish still life or oscillator that reflected the glider 180°, with the glider and the still life / oscillator both translated the same number of cells at a 90° angle to the glider's trajectory. By having the glider bounce between two such oscillators, one could produce a family of arbitrarily slow spaceships with a very small population count; possibly even small enough that someone could enumerate the slowest possible spaceships for all lower populations. Of course, I won't be holding my breath waiting for someone to do that for GoL. But it might be possible for some other isotropic CA rule, if the smallest arbitrarily-slow spaceship in that rule was small enough. vyznev Posts: 27 Joined: April 23rd, 2016, 4:08 am ### Re: Challenges x = 36, y = 11, rule = B3/S233bo4bo4bo12b2o$2bobo2bobo2bobo12bo$bobo3bobo3bobo10bo$2bo5bo5bo11b2o$30b2o$29bobo$29b2o$2b2o4b2o4b2o$bo2bo2bo2bo2bo2bo15bob2o$o2bo3bo2bo3bo2bo14b2obo$b2o5b2o5b2o! 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: 1695 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Challenges Challenge: Find a rule as close to CGOL that a) retains the glider b) has an overunity reaction from only 2G's(meaning creates 3 or more gliders) Last edited by danny on February 21st, 2018, 10:10 am, edited 1 time in total. Please stop using my full name. Refer to me as dani. she/they "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. danny Posts: 883 Joined: October 27th, 2017, 3:43 pm Location: i love to eat bees ### Re: Challenges danny wrote:Challenge: Find a rule as close to CGOL that a) retains the glider b) has an overunity reaction from only 2G's Just to clarify, by "overunity reaction" you mean a reaction that creates more than two gliders and nothing else? 77topaz Posts: 1252 Joined: January 12th, 2018, 9:19 pm ### Re: Challenges What's close? Fewest totalistic transitions changed? Fewest isotropic transitions changed? Fewest MAP bits changed? I like making rules fluffykitty Posts: 334 Joined: June 14th, 2014, 5:03 pm ### Re: Challenges I assume isotropic Please, stop spam searching Snowflakes. Majestas32 Posts: 524 Joined: November 20th, 2017, 12:22 pm Location: 'Merica ### Re: Challenges Yeah, I think isotropic, because barely anyone knows how to use MAP strings properly, anyway. 77topaz Posts: 1252 Joined: January 12th, 2018, 9:19 pm ### Re: Challenges mep Please, stop spam searching Snowflakes. Majestas32 Posts: 524 Joined: November 20th, 2017, 12:22 pm Location: 'Merica ### Re: Challenges *MAP I like making rules fluffykitty Posts: 334 Joined: June 14th, 2014, 5:03 pm ### Re: Challenges 77topaz wrote: danny wrote:Challenge: Find a rule as close to CGOL that a) retains the glider b) has an overunity reaction from only 2G's Just to clarify, by "overunity reaction" you mean a reaction that creates more than two gliders and nothing else? "Over-unity" by itself doesn't necessarily imply a completely clean reaction -- at least according to the current Lexicon definition, but I think I rewrote that myself recently so it might be wrong. If the reaction doesn't have to be clean, then here's a dirty 2G->4G that I noticed by running the random-change script on the two-glider collision stamp collection for a few minutes: x = 5, y = 12, rule = B34t/S233bo$2bo$2b3o7$bo$2o$obo!#C [[ ZOOM 6 AUTOSTART PAUSE 2 ]]

Probably not good enough, since at minimum both extra gliders would probably have to be used to clean up the junk to make a repeatable reaction (assuming we had reflectors for this rule)... but technically it might match the terms of the challenge. Or it's a start anyway, and should at least have the effect of getting the terms clarified.

Modified stamp collection:

x = 844, y = 376, rule = B3/S23294bo56bo28bo$148bo28bo29bo26bo29bo28bo29bo26bo28bo56bo$147bo28bo29bo26bo29bo29b3o26bo27b3o26b3o25bo27bo$147b3o26b3o27b3o24b3o27b3o56b3o81bo28b3o$406b3o4$350bo$148b3o27b3o139bo28b2o85bo$148bo29bo30bo27bo30bo23b2o25b2o28bobo24b2o30bo26b2o$149bo29bo28b2o26b2o29b2o23bobo24bobo54bobo28b2o26bobo$208bobo25bobo28bobo22bo83bo30bobo7$535bo$469bo32bo31bo92bo$410bo25bo31bo32bo32b3o28bo32bo27bo$409bo25bo32b3o30b3o60bo32bo28b3o$186bo26bo27bo26bo26bo25bo27bo26bo32b3o23b3o126b3o30b3o$156bo28bo26bo27bo26bo26bo25bo27bo26bo$155bo29b3o24b3o25b3o24b3o24b3o23b3o25b3o24b3o$155b3o4$404b3o25b3o89b2o$176b3o26b3o26b3o25b3o25b3o24b3o26b3o25b3o29bo27bo21b2o33b2o30bobo30b2o60b2o$144b3o31bo28bo28bo27bo27bo26bo28bo27bo28bo27bo23b2o33b2o31bo31b2o22b2o36b2o$146bo30bo28bo28bo27bo27bo26bo28bo27bo80bo34bo64bo25b2o34bo$145bo435bo16$800bo$799bo38bo$745bo53b3o35bo$744bo92b3o$744b3o3$306bo$274bo30bo$273bo15bo15b3o533b3o$273b3o12bo459bo92bo$288b3o456b2o44b2o47bo$747bobo44b2o$793bo4$308b2o$308bobo$266b2o21b2o17bo$265bobo21bobo$267bo21bo13$595bo$594bo$594b3o2$494bo44bo126bo$460bo32bo44bo126bo$459bo33b3o42b3o124b3o$459b3o3$594b2o$594bobo$594bo2$459bo35b2o35b2o$458b2o35bobo35b2o121b2o$458bobo34bo36bo124b2o$656bo11$165bo$164bo$81bo39bo42b3o$43bo36bo39bo75bo$42bo37b3o37b3o72bo68bo$42b3o150b3o65bo20bo$bo261b3o17bo$o282b3o$3o3$159b2o31bo$35b3o80b2o40b2o29b2o$3b3o31bo38b2o40bobo38bo31bobo$3bo32bo40b2o39bo161bo$4bo71bo181b2o19b2o$257bobo19bobo$259bo17$458bo$395bo61bo42bo$394bo62b3o39bo$394b3o102b3o$503b3o$399bo103bo$398b2o104bo$398bobo54b2o$454bobo$456bo23$106bo$105bo151bo207bo$105b3o148bo207bo$256b3o205b3o222bo$688bo$641bo46b3o$640bo$640b3o185bo$827bo$259b3o565b3o$259bo203bo$98b2o160bo201b2o$99b2o361bobo$98bo$641bo42b2o$640b2o41bobo$640bobo42bo2$813b2o$814b2o$813bo12$497bo$496bo$496b3o6$499bo$498b2o$498bobo16$259bo$258bo$258b3o264bo$162bo361bo$161bo362b3o$161b3o3$257bo$256b2o266b3o$256bobo265bo$525bo3$153b2o$152bobo$154bo16$510bo$509bo$509b3o5$510b3o$56bo16bo436bo$55bo16bo438bo$55b3o14b3o7$74bo$51b2o20b2o$52b2o19bobo$51bo13$278bo239bo$277bo239bo$277b3o237b3o6$277b3o$277bo$278bo$508b2o$507bobo$509bo24$527bo$526bo$526b3o7$524bo$523b2o$523bobo9$246bo58bo40bo$245bo58bo40bo$245b3o56b3o38b3o3$63bo13bo$62bo13bo$62b3o11b3o168b3o$247bo43b3o$248bo44bo$292bo56b2o$349bobo$349bo3$58b2o21b2o$58bobo20bobo$58bo22bo!

I did notice that one single isotropic bit change turned one of the 71 collisions into a not-collision -- hadn't thought of that:

x = 19, y = 14, rule = B3-q/S2317bo$16bo$16b3o9$2o$b2o$o! dvgrn Moderator Posts: 5239 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: Challenges The reaction should be clean, my mistake for not clarifying. If it has debris, it should take less than the net gain to clean up the debris. EDIT: You should take into account 2Gs that use B2n, because that leads to more 2G reactions than are displayed in your RLE. Please stop using my full name. Refer to me as dani. she/they "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. danny Posts: 883 Joined: October 27th, 2017, 3:43 pm Location: i love to eat bees ### Re: Challenges make a radiation hardened quine that can have a certain amount of bytes removed, but there's a gap (e.g. 1 and 3, but there is a certain configuration n=2 that makes it not a quine) Alternatively, make it so every n=2 breaks it. Also, make sure it returns the unmodified quine, as per the definition Any languages are fair game. Please stop using my full name. Refer to me as dani. she/they "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. danny Posts: 883 Joined: October 27th, 2017, 3:43 pm Location: i love to eat bees ### Re: Challenges Challenges: 1) Find a Life oscillator with a 1 cell rotor. 2) Find a c/2 in a B2a rule. Life is hard. Deal with it. My favorite oscillator of all time: x = 7, y = 3, rule = B3-r4j/S2-i3o5bo$2o3b2o$b2ob2o! Hdjensofjfnen Posts: 864 Joined: March 15th, 2016, 6:41 pm Location: (394234, -234231) ### Re: Challenges Hdjensofjfnen wrote:Challenges: 1) Find a Life oscillator with a 1 cell rotor. 2) Find a c/2 in a B2a rule. 1) Impossible. The rotor cell would have 3 neighbors in order to be born but would then have S3. 2) Minimal example: x = 3, y = 2, rule = B2a3e/S1c2c3eobo$bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1825
Joined: November 8th, 2014, 8:48 pm
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### Re: Challenges

Challenge: Find a 3-glider synthesis of a single ship.
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3o5bo$2o3b2o$b2ob2o!

Hdjensofjfnen

Posts: 864
Joined: March 15th, 2016, 6:41 pm
Location: (394234, -234231)

### Re: Challenges

x = 19, y = 8, rule = B3/S2318bo$16b2o$17b2o2$bo$2bo9bo$3o7b2o$11b2o!
c(>^x^<c)~
This is Fluffy the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.

There’s one problem,

Fluffy doesn’t exist :(

Redstoneboi

Posts: 319
Joined: May 14th, 2018, 3:57 am

### Re: Challenges

Challenges:
Find an oscillator in Life with period p, with n cells in its rotor, where p > n.
Find an oscillator in Life, with period greater than 2, in which one of the phases is the stator (plus no cells).
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 3, rule = B3-r4j/S2-i3o5bo$2o3b2o$b2ob2o!

Hdjensofjfnen

Posts: 864
Joined: March 15th, 2016, 6:41 pm
Location: (394234, -234231)

### Re: Challenges

Hdjensofjfnen wrote:Challenges:
Find an oscillator in Life with period p, with n cells in its rotor, where p > n.
Find an oscillator in Life, with period greater than 2, in which one of the phases is the stator (plus no cells).

1. Phoenices
2. Cuphook
Please stop using my full name. Refer to me as dani.

she/they

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

danny

Posts: 883
Joined: October 27th, 2017, 3:43 pm
Location: i love to eat bees

### Re: Challenges

danny wrote:
Hdjensofjfnen wrote:Challenges:
Find an oscillator in Life with period p, with n cells in its rotor, where p > n.
Find an oscillator in Life, with period greater than 2, in which one of the phases is the stator (plus no cells).

1. Phoenices
2. Cuphook

The smallest phoenix is this:
x = 8, y = 8, rule = B3/S233bo4b$3bobo2b$bo6b$6b2o$2o6b$6bob$2bobo3b$4bo! ...and that has a 12 cell rotor. 2 is not greater than 12. Good job with #2, though. Life is hard. Deal with it. My favorite oscillator of all time: x = 7, y = 3, rule = B3-r4j/S2-i3o5bo$2o3b2o$b2ob2o! Hdjensofjfnen Posts: 864 Joined: March 15th, 2016, 6:41 pm Location: (394234, -234231) ### Re: Challenges For #1, the p(2^44497 - 1) oscillator should work. All hail WADUFI our king. cordership3 Posts: 120 Joined: August 23rd, 2016, 8:53 am Location: haha long boy ### Re: Challenges cordership3 wrote:For #1, the p(2^44497 - 1) oscillator should work. Yes, it does, but you answered the question as if it would sound like this: Find an oscillator in Life with period p with n cells, where p > n. There is a smaller one for sure. EDIT: Gabriel's p138 and Karel's p177 work. https://www.youtube.com/watch?v=q6EoRBvdVPQ One big dirty Oro. Yeeeeeeeeee... gameoflifemaniac Posts: 715 Joined: January 22nd, 2017, 11:17 am Location: There too ### Re: Challenges This puffer is very picky. It needs every single non-totalistic birth and survival condition except one. What is it? x = 4, y = 5, rule = B356/S23bo$2o$2b2o$bobo$2bo! Life is hard. Deal with it. My favorite oscillator of all time: x = 7, y = 3, rule = B3-r4j/S2-i3o5bo$2o3b2o$b2ob2o! Hdjensofjfnen Posts: 864 Joined: March 15th, 2016, 6:41 pm Location: (394234, -234231) ### Re: Challenges Here's a superunity reaction with 2 fivebitters: x = 4, y = 11, rule = B2en3-eknq/S234q2o$2bo$2o6$2bo$bobo$bobo!

EDIT: I should also mention this rule has a lot of them:
x = 16, y = 16, rule = B2en3-eknq/S234qobobob4ob2ob2o$ob7o3b4o$4b5o$2bo2b2ob3o4bo$bo6bo3b2o$ob2ob2o4bo2bo$2b2o11bo$3o5b2ob2o2bo$o2b4obobo2b2o$bo3b5obobo$bobo2bo2bob4o$2bo3b4o4b2o$bob2o2b2o5bo$o2b2obo3b2obo$2b2obo2b4o2bo$o2b2o! Life is hard. Deal with it. My favorite oscillator of all time: x = 7, y = 3, rule = B3-r4j/S2-i3o5bo$2o3b2o$b2ob2o! Hdjensofjfnen Posts: 864 Joined: March 15th, 2016, 6:41 pm Location: (394234, -234231) ### Re: Challenges Hdjensofjfnen wrote:This puffer is very picky. It needs every single non-totalistic birth and survival condition except one. What is it? x = 4, y = 5, rule = B356/S23bo$2o$2b2o$bobo\$2bo!

non-totalistic

Works from B356/S23 till B34c56/S236i8. So there are three possible answers: B4c? S6i? S8?

This is picky too. Pick one

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