## 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.
gmc_nxtman
Posts: 1147
Joined: May 26th, 2015, 7:20 pm

### Re: Challenges

Code: Select all

x = 37, y = 6, rule = B3/S23
4b2o13b2o13b2o$3bo2bo11bo2bo11bo2bo$3bob2o11bob2o11bob2o$2obo12b2obo 12b2obo$o2bo12bo2bo12bo2bo$b2o14b2o14b2o! vyznev Posts: 27 Joined: April 23rd, 2016, 4:08 am ### Re: Challenges A for awesome wrote:[nevermind]2. Find a non-explosive B1e rule.[/nevermind] This one has been solved by @gmc_nxtman. Feel free to come up with other examples, though. If you allow rules with B0, this is easy: Code: Select all x = 20, y = 20, rule = B01/S 3obob3o2bo2b2obobo$b2o7b3o2b2o2bo$3o2bo2b3ob5obo$2bobob2obob3ob3o$ob4o 3b4o3b3o$2ob2o2bobo3b2obo$4bo2bo5bo3bo$o3b3obo2bo7bo$3obobo2b2ob4o$2bo
b2o3bobo2b2o3bo$b2ob3o2b4obo2bobo$b2obo2b3o7b3o$2bobo2bob3o2b3obo$ob2o
3b4o2bobob2o$o2bo3b3o2bo2b2obo$2o2b2obob6obob2o$3bobo2b3obob3o2bo$3o5b
5ob6o$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:

Code: Select all

x = 100, y = 100, rule = B01e2/S4aceikn
3o5bobo4bobo7b5ob2ob11ob4o6b3ob2ob2ob2o5bo5bobobob8o4bobo$99o$b99o$100o$100o$100o$b98o$b98o$99o$99o$b98o$99o$b99o$100o$100o$b99o$100o$b 99o$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$100o$b
99o$100o$b98o$b99o$b98o$99o$b98o$b99o$b98o$b99o$99o$100o$b99o$b98o$b
2bo14b2obo$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 danny Posts: 968 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA Contact: ### 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. she/they // Please stop using my full name. Refer to me as dani. "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. 77topaz Posts: 1345 Joined: January 12th, 2018, 9:19 pm ### 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? fluffykitty Posts: 638 Joined: June 14th, 2014, 5:03 pm ### Re: Challenges What's close? Fewest totalistic transitions changed? Fewest isotropic transitions changed? Fewest MAP bits changed? I like making rules Majestas32 Posts: 524 Joined: November 20th, 2017, 12:22 pm Location: 'Merica ### Re: Challenges I assume isotropic Please, stop spam searching Snowflakes. 77topaz Posts: 1345 Joined: January 12th, 2018, 9:19 pm ### Re: Challenges Yeah, I think isotropic, because barely anyone knows how to use MAP strings properly, anyway. Majestas32 Posts: 524 Joined: November 20th, 2017, 12:22 pm Location: 'Merica ### Re: Challenges mep Please, stop spam searching Snowflakes. fluffykitty Posts: 638 Joined: June 14th, 2014, 5:03 pm ### Re: Challenges *MAP I like making rules dvgrn Moderator Posts: 5878 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### 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: Code: Select all x = 5, y = 12, rule = B34t/S23 3bo$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:

Code: Select all

x = 844, y = 376, rule = B3/S23
294bo56bo28bo$148bo28bo29bo26bo29bo28bo29bo26bo28bo56bo$147bo28bo29bo
26bo29bo29b3o26bo27b3o26b3o25bo27bo$147b3o26b3o27b3o24b3o27b3o56b3o81b o28b3o$406b3o4$350bo$148b3o27b3o139bo28b2o85bo$148bo29bo30bo27bo30bo 23b2o25b2o28bobo24b2o30bo26b2o$149bo29bo28b2o26b2o29b2o23bobo24bobo54b
obo28b2o26bobo$208bobo25bobo28bobo22bo83bo30bobo7$535bo$469bo32bo31bo 92bo$410bo25bo31bo32bo32b3o28bo32bo27bo$409bo25bo32b3o30b3o60bo32bo28b 3o$186bo26bo27bo26bo26bo25bo27bo26bo32b3o23b3o126b3o30b3o$156bo28bo26b o27bo26bo26bo25bo27bo26bo$155bo29b3o24b3o25b3o24b3o24b3o23b3o25b3o24b
3o$155b3o4$404b3o25b3o89b2o$176b3o26b3o26b3o25b3o25b3o24b3o26b3o25b3o 29bo27bo21b2o33b2o30bobo30b2o60b2o$144b3o31bo28bo28bo27bo27bo26bo28bo
27bo28bo27bo23b2o33b2o31bo31b2o22b2o36b2o$146bo30bo28bo28bo27bo27bo26b o28bo27bo80bo34bo64bo25b2o34bo$145bo435bo16$800bo$799bo38bo$745bo53b3o 35bo$744bo92b3o$744b3o3$306bo$274bo30bo$273bo15bo15b3o533b3o$273b3o12b o459bo92bo$288b3o456b2o44b2o47bo$747bobo44b2o$793bo4$308b2o$308bobo$266b2o21b2o17bo$265bobo21bobo$267bo21bo13$595bo$594bo$594b3o2$494bo44b o126bo$460bo32bo44bo126bo$459bo33b3o42b3o124b3o$459b3o3$594b2o$594bobo
$594bo2$459bo35b2o35b2o$458b2o35bobo35b2o121b2o$458bobo34bo36bo124b2o$656bo11$165bo$164bo$81bo39bo42b3o$43bo36bo39bo75bo$42bo37b3o37b3o72bo
68bo$42b3o150b3o65bo20bo$bo261b3o17bo$o282b3o$3o3$159b2o31bo$35b3o80b
2o40b2o29b2o$3b3o31bo38b2o40bobo38bo31bobo$3bo32bo40b2o39bo161bo$4bo 71bo181b2o19b2o$257bobo19bobo$259bo17$458bo$395bo61bo42bo$394bo62b3o
39bo$394b3o102b3o$503b3o$399bo103bo$398b2o104bo$398bobo54b2o$454bobo$456bo23$106bo$105bo151bo207bo$105b3o148bo207bo$256b3o205b3o222bo$688bo
$641bo46b3o$640bo$640b3o185bo$827bo$259b3o565b3o$259bo203bo$98b2o160bo 201b2o$99b2o361bobo$98bo$641bo42b2o$640b2o41bobo$640bobo42bo2$813b2o$
814b2o$813bo12$497bo$496bo$496b3o6$499bo$498b2o$498bobo16$259bo$258bo$
258b3o264bo$162bo361bo$161bo362b3o$161b3o3$257bo$256b2o266b3o$256bobo
265bo$525bo3$153b2o$152bobo$154bo16$510bo$509bo$509b3o5$510b3o$56bo16b o436bo$55bo16bo438bo$55b3o14b3o7$74bo$51b2o20b2o$52b2o19bobo$51bo13$
278bo239bo$277bo239bo$277b3o237b3o6$277b3o$277bo$278bo$508b2o$507bobo$
509bo24$527bo$526bo$526b3o7$524bo$523b2o$523bobo9$246bo58bo40bo$245bo
58bo40bo$245b3o56b3o38b3o3$63bo13bo$62bo13bo$62b3o11b3o168b3o$247bo43b 3o$248bo44bo$292bo56b2o$349bobo$349bo3$58b2o21b2o$58bobo20bobo$58bo22b
o!
I did notice that one single isotropic bit change turned one of the 71 collisions into a not-collision -- hadn't thought of that:

Code: Select all

x = 19, y = 14, rule = B3-q/S23
17bo$16bo$16b3o9$2o$b2o$o! danny Posts: 968 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA Contact: ### 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. she/they // Please stop using my full name. Refer to me as dani. "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. danny Posts: 968 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA Contact: ### 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. she/they // Please stop using my full name. Refer to me as dani. "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. Hdjensofjfnen Posts: 1338 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: Challenges Challenges: 1) Find a Life oscillator with a 1 cell rotor. 2) Find a c/2 in a B2a rule. "A man said to the universe: 'Sir, I exist!' 'However,' replied the universe, 'The fact has not created in me A sense of obligation.'" -Stephen Crane Code: Select all x = 7, y = 5, rule = B3/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  BlinkerSpawn Posts: 1906 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### 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: Code: Select all x = 3, y = 2, rule = B2a3e/S1c2c3e obo$bo!

LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Hdjensofjfnen
Posts: 1338
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Challenges

Challenge: Find a 3-glider synthesis of a single ship.
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!


Redstoneboi
Posts: 340
Joined: May 14th, 2018, 3:57 am

### Re: Challenges

Code: Select all

x = 19, y = 8, rule = B3/S23
18bo$16b2o$17b2o2$bo$2bo9bo$3o7b2o$11b2o!

c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.

Hdjensofjfnen
Posts: 1338
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### 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).
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!


danny
Posts: 968
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

### 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
she/they // Please stop using my full name. Refer to me as dani.

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

Hdjensofjfnen
Posts: 1338
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### 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:

Code: Select all

x = 8, y = 8, rule = B3/S23
3bo4b$3bobo2b$bo6b$6b2o$2o6b$6bob$2bobo3b$4bo!  ...and that has a 12 cell rotor. 2 is not greater than 12. Good job with #2, though. "A man said to the universe: 'Sir, I exist!' 'However,' replied the universe, 'The fact has not created in me A sense of obligation.'" -Stephen Crane Code: Select all x = 7, y = 5, rule = B3/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  cordership3 Posts: 127 Joined: August 23rd, 2016, 8:53 am Location: haha long boy ### Re: Challenges For #1, the p(2^44497 - 1) oscillator should work. fg gameoflifemaniac Posts: 774 Joined: January 22nd, 2017, 11:17 am Location: There too ### 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... Hdjensofjfnen Posts: 1338 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: Challenges This puffer is very picky. It needs every single non-totalistic birth and survival condition except one. What is it? Code: Select all x = 4, y = 5, rule = B356/S23 bo$2o$2b2o$bobo$2bo!  "A man said to the universe: 'Sir, I exist!' 'However,' replied the universe, 'The fact has not created in me A sense of obligation.'" -Stephen Crane Code: Select all x = 7, y = 5, rule = B3/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  Hdjensofjfnen Posts: 1338 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: Challenges Here's a superunity reaction with 2 fivebitters: Code: Select all x = 4, y = 11, rule = B2en3-eknq/S234q 2o$2bo$2o6$2bo$bobo$bobo!

EDIT: I should also mention this rule has a lot of them:

Code: Select all

x = 16, y = 16, rule = B2en3-eknq/S234q
obobob4ob2ob2o$ob7o3b4o$4b5o$2bo2b2ob3o4bo$bo6bo3b2o$ob2ob2o4bo2bo$2b
2o11bo$3o5b2ob2o2bo$o2b4obobo2b2o$bo3b5obobo$bobo2bo2bob4o$2bo3b4o4b2o$bob2o2b2o5bo$o2b2obo3b2obo$2b2obo2b4o2bo$o2b2o!  "A man said to the universe: 'Sir, I exist!' 'However,' replied the universe, 'The fact has not created in me A sense of obligation.'" -Stephen Crane Code: Select all x = 7, y = 5, rule = B3/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  Naszvadi Posts: 379 Joined: May 7th, 2016, 8:53 am Contact: ### Re: Challenges Hdjensofjfnen wrote:This puffer is very picky. It needs every single non-totalistic birth and survival condition except one. What is it? Code: Select all x = 4, y = 5, rule = B356/S23 bo$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