## 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.
drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: Challenges

toroidalet wrote:Challenge: Find a pattern that doesn't die out in R6,C0,M1,S34..58,B34..45,NM, which I am terming "Bugs but I literally changed the range to 6 and it's still miraculously stable."

Code: Select all

x = 9, y = 9, rule = R6,C0,M1,S34..58,B34..45,NM
9o$9o$9o$9o$9o$9o$9o$9o$9o!

There's a couple still lifes, I'm currently apgsearching this rule, and there's only one object every ~1563 soups as of now, most of which are the 9x9 square I just posted.
\100\97\110\105

83bismuth38
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### Re: Challenges

Saka wrote:
83bismuth38 wrote:is a c/1 knightship possible?

Code: Select all

x = 11, y = 19, rule = R5,C4,M0,S83..98,B10..108,NN:T1000,1000
$4.C$5.CB$5.2CBA$5.2C2BA$5.2C2B2A$5.2C2B2A$5.2C2B2A$5.2C2B2A$4.3C2B2A$4.2C3B2A$3.3C2B3A$2.3C3B2A$.3C3B3A$2.C3B3A$4.B3A$6.A!
that rule does not work in golly.

Code: Select all

x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!  No football of any dui mauris said that. drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Challenges Challenge: Find a spaceship in B2c3-ej/S23 It should be possible, although it's probably very slow and hard to find. \100\97\110\105 Goldtiger997 Posts: 571 Joined: June 21st, 2016, 8:00 am ### Re: Challenges drc wrote:Challenge: Find a spaceship in B2c3-ej/S23 It should be possible, although it's probably very slow and hard to find. Found with gfind: Code: Select all x = 29, y = 14, rule = B2c3-ej/S23 14bobo$13bobo$6bo7bobo$5bob2ob2obobo$4bobobobobobo$3bobob2o2bobo12bobo
$2bo4b4obo12bobo$bo3bob2obo15bobo$ob2o5bobo13bobo$bo5b2obo13bobo$2bobo 4bo11b3obo$2b3obobo10b2obobo$3bobobo9bo2bobo$6bo10b3obo!
Last edited by Goldtiger997 on August 27th, 2017, 5:25 am, edited 1 time in total.

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Challenges

83bismuth38 wrote:
Saka wrote:

Code: Select all

x = 11, y = 19, rule = R5,C4,M0,S83..98,B10..108,NN:T1000,1000
$4.C$5.CB$5.2CBA$5.2C2BA$5.2C2B2A$5.2C2B2A$5.2C2B2A$5.2C2B2A$4.3C2B2A$4.2C3B2A$3.3C2B3A$2.3C3B2A$.3C3B3A$2.C3B3A$4.B3A$6.A!
that rule does not work in golly.
The modification needed for the rule to work is very easy, and I assume you can do it. Please don't be too lazy...
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!  (Check gen 2) toroidalet Posts: 1055 Joined: August 7th, 2016, 1:48 pm Location: My computer Contact: ### Re: Challenges It turns out that Bugs but I literally changed the range to 6 and it's still miraculously stable has a c/3 diagonal ship: Code: Select all x = 10, y = 10, rule = R6,C0,M1,S34..56,B33..45,NM 5b2o$4b3o$3b5o$4o3b3o$b4o2b3o$2b4ob2o$3b5o$4b3o$5b2o$6bo!

Challenge: Find a spaceship made of smaller spaceships made of smaller spaceships.
Another challenge: Find a nontrivial spaceship where 2 appropriately-timed copies may pass through each other.
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: Challenges

toroidalet wrote:It turns out that Bugs but I literally changed the range to 6 and it's still miraculously stable has a c/3 diagonal ship:

Code: Select all

x = 10, y = 10, rule = R6,C0,M1,S34..56,B33..45,NM
5b2o$4b3o$3b5o$4o3b3o$b4o2b3o$2b4ob2o$3b5o$4b3o$5b2o$6bo!  Challenge: Find a spaceship made of smaller spaceships made of smaller spaceships. Another challenge: Find a nontrivial spaceship where 2 appropriately-timed copies may pass through each other. BBILCTRT6&ISMS isn't 6,34,56,33,45, it's 6,34,45,34,58, at least that's what I thought. Isn't this the census? \100\97\110\105 gameoflifemaniac Posts: 852 Joined: January 22nd, 2017, 11:17 am Location: There too ### Re: Challenges Find a unstable pattern that is not a oscillator and remains the same population for as long as possible. https://www.youtube.com/watch?v=q6EoRBvdVPQ One big dirty Oro. Yeeeeeeeeee... dvgrn Moderator Posts: 6308 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Challenges gameoflifemaniac wrote:Find a unstable pattern that is not a oscillator and remains the same population for as long as possible. I think I know what you mean, but even if this doesn't count -- Code: Select all x = 7, y = 3, rule = B3/S23 3o2b2o$o4b2o$bo! #C [[ THUMBNAIL THUMBSIZE 2 ]] -- you haven't really excluded boring things like a glider aimed at something painfully far away: Code: Select all x = 1000004, y = 1000004, rule = B3/S23 2o$o1000000$1000001b3o$1000001bo$1000002bo! gameoflifemaniac Posts: 852 Joined: January 22nd, 2017, 11:17 am Location: There too ### Re: Challenges dvgrn wrote: gameoflifemaniac wrote:Find a unstable pattern that is not a oscillator and remains the same population for as long as possible. I think I know what you mean, but even if this doesn't count -- Code: Select all x = 7, y = 3, rule = B3/S23 3o2b2o$o4b2o$bo! #C [[ THUMBNAIL THUMBSIZE 2 ]] -- you haven't really excluded boring things like a glider aimed at something painfully far away: Code: Select all x = 1000004, y = 1000004, rule = B3/S23 2o$o1000000$1000001b3o$1000001bo$1000002bo! I meant finitely long as possible. https://www.youtube.com/watch?v=q6EoRBvdVPQ One big dirty Oro. Yeeeeeeeeee... BlinkerSpawn Posts: 1942 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Challenges gameoflifemaniac wrote: dvgrn wrote:-- you haven't really excluded boring things like a glider aimed at something painfully far away: Code: Select all x = 1000004, y = 1000004, rule = B3/S23 2o$o1000000$1000001b3o$1000001bo$1000002bo! I meant finitely long as possible. The second pattern dvgrn submitted (the one I have quoted) goes for a finite amount of time. (And it maintains population 1 generation longer if you use an appropriately-placed blinker instead) LifeWiki: Like Wikipedia but with more spaceships. [citation needed] dvgrn Moderator Posts: 6308 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Challenges BlinkerSpawn wrote:The second pattern dvgrn submitted (the one I have quoted) goes for a finite amount of time. (And it maintains population 1 generation longer if you use an appropriately-placed blinker instead) Darn. I guess you win now... unless I can somehow think of a number bigger than a million. Gamedziner Posts: 796 Joined: May 30th, 2016, 8:47 pm Location: Milky Way Galaxy: Planet Earth ### Re: Challenges gameoflifemaniac wrote: dvgrn wrote:-- you haven't really excluded boring things like a glider aimed at something painfully far away: Code: Select all x = 1000004, y = 1000004, rule = B3/S23 2o$o1000000$1000001b3o$1000001bo$1000002bo! I meant finitely long as possible. The limit for how long it takes is ∞. Code: Select all (for z = lim(z) as z->∞) x = (z)+4, y = (z)+4, rule = B3/S23 2o$o(z)$(z+1)b3o$(z+1)bo$(z+2)bo! Code: Select all x = 81, y = 96, rule = LifeHistory 58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!


83bismuth38
Posts: 458
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### Re: Challenges

CHALLENGE: give me the ability to find a rule that actually sparks mild interest.

this is a joke, don't take it seriously please. but if you CAN, please do.

Code: Select all

x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!  No football of any dui mauris said that. 83bismuth38 Posts: 458 Joined: March 2nd, 2017, 4:23 pm Location: Still sitting around in Sagittarius A... Contact: ### Re: Challenges Saka wrote: 83bismuth38 wrote: Saka wrote: Code: Select all x = 11, y = 19, rule = R5,C4,M0,S83..98,B10..108,NN:T1000,1000$4.C$5.CB$5.2CBA$5.2C2BA$5.2C2B2A$5.2C2B2A$5.2C2B2A$5.2C2B2A$4.3C2B2A
$4.2C3B2A$3.3C2B3A$2.3C3B2A$.3C3B3A$2.C3B3A$4.B3A$6.A! that rule does not work in golly. The modification needed for the rule to work is very easy, and I assume you can do it. Please don't be too lazy... WHAT DID YOU DO WRONG?! I CAN'T FIGURE IT OUT FOR THE LIFE (no pun intended) OF ME!!! Code: Select all x = 8, y = 10, rule = B3/S23 3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.

Apple Bottom
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### Re: Challenges

83bismuth38 wrote:
Saka wrote:R5,C4,M0,S83..98,B10..108,NN:T1000,1000
WHAT DID YOU DO WRONG?! I CAN'T FIGURE IT OUT FOR THE LIFE (no pun intended) OF ME!!!
Here's a hint: how many neighboring cells does the range-5 von Neumann neighborhood contain?
If you speak, your speech must be better than your silence would have been. — Arabian proverb

Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_

Proud member of the Pattern Raiders!

83bismuth38
Posts: 458
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Location: Still sitting around in Sagittarius A...
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### Re: Challenges

Apple Bottom wrote:
83bismuth38 wrote:
Saka wrote:R5,C4,M0,S83..98,B10..108,NN:T1000,1000
WHAT DID YOU DO WRONG?! I CAN'T FIGURE IT OUT FOR THE LIFE (no pun intended) OF ME!!!
Here's a hint: how many neighboring cells does the range-5 von Neumann neighborhood contain?
ok:

Code: Select all

x = 20, y = 9, rule = R5,C4,M0,S61..61,B10..61,NN:T1000,1000
4.11A$3.15A$2.A11B5A$2.15B3A$.B11C5B2A$.15C3B$C11.5C2B$15.3C$16.2C!

but how did he make that mistake in the first place?

Code: Select all

x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!  No football of any dui mauris said that. gameoflifemaniac Posts: 852 Joined: January 22nd, 2017, 11:17 am Location: There too ### Re: Challenges Can somebody show me all still lives up to 15 bits in one RLE, please? https://www.youtube.com/watch?v=q6EoRBvdVPQ One big dirty Oro. Yeeeeeeeeee... dvgrn Moderator Posts: 6308 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Challenges gameoflifemaniac wrote:Can somebody show me all still lives up to 15 bits in one RLE, please? This is a simple copy/paste from 25 different RLE files within two clicks of Mark Niemiec's main Life page, producing about a 20K RLE file with 2435 objects in it (if I've done all the math right). To get someone interested in doing the work, it may be worth explaining why you want it, and whether you also want pseudo still lifes -- there are 45 source files in that case -- and also whether it matters how the objects are organized, and why you can't just do the job yourself. drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Challenges Challenge: Create the largest object possible (and/or prove that infinitely many objects are synthesizable) using only 1 glider per step and a 2-glider base. All collisions must settle before the next collision can begin. \100\97\110\105 dvgrn Moderator Posts: 6308 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Challenges drc wrote:Challenge: Create the largest object possible (and/or prove that infinitely many objects are synthesizable) using only 1 glider per step and a 2-glider base. All collisions must settle before the next collision can begin. Ooh, I know this one! A year ago simeks came up with the basis for a slow salvo to stretch a ship. These days you can just figure out how to clean up the leftover junk from either of those reactions to get a block at a decent distance, and feed either of those two initial constellations into slmake (with a ship or a long boat instead of a long long ship as the base object to be extended). Tell slmake that the starting block location is at (-1, -1) from where you know it will end up, and run another round of compilation with slmake, building just the blinker or the loaf+blocks constellation that will be used up in each new cycle -- and hey presto, if you have an unlimited-length slow salvo, you can get an unlimited number of different still lifes. Code: Select all x = 216, y = 213, rule = LifeHistory 52.C$2C49.C.C$C.C49.C.C$.2C50.2C5$7.C52.2C$7.C51.C2.C$7.C52.C.C$55.2C
4.C$55.2C3$61.2C$61.2C2$11.2A$11.A.A$11.A3$80.2A$80.A.A$80.A21$35.2A$34.2A$36.A17$66.3A$66.A$67.A29$83.2A$82.2A$84.A17$112.2A$111.2A$113.A 19$143.2A$143.A.A$143.A23$167.2A$166.2A$168.A47$213.2A$213.A.A$213.A!
In point of fact it's well within reach now to write a universal script that will solve this problem for any constructable object that you can throw at it. Given a glider recipe for any object, we know how to create a constellation of small still lifes that can be hit with a single glider to produce that exact arrangement of gliders.

And theoretically we can compile any constellation of small still lifes with slmake. The result is a slow salvo recipe aimed at a single block, which we can create with two gliders.

I wish somebody would write that script, actually. It would make horribly inefficient seed patterns, at least if it was written the easy way -- but it would be fun to watch a huge constellation collapse into a relatively tiny object.

Probably it's not a good idea to try compiling something like a Gemini spaceship this way, due to memory limitations, but in principle it would work just like any other glider recipe.

A for awesome
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### Re: Challenges

Find an arrangement of 3 polyomino sparks summing to 9 cells (with no pair kingwise-connected) that evolves into a spark consisting of a single nonomino after >5 gens.
Examples of invalid patterns:
Invalid because the only polyominoes formed after >5 gens are a hexomino and a domino:

Code: Select all

x = 7, y = 4, rule = B3/S23
3bo$4o2bo$o$4b2o!  Invalid, because the nonomino spark is formed at gen. 1: Code: Select all x = 6, y = 5, rule = B3/S23 bo$bo$5bo$2b2obo$3o!  Invalid, because two of the polyominoes are touching (and the nonomino formed in gen. 5 is not a spark): Code: Select all x = 5, y = 6, rule = B3/S23 2bo$3o$obo$3b2o2$2bo!  There are probably multiple solutions. EDIT: There are. 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 BlinkerSpawn Posts: 1942 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Challenges This still life Code: Select all x = 8, y = 10, rule = B3/S23 5bo$2o2bobo$o3bobo$b3obo$3bo$4bo$2bob3o$bobo3bo$bobo2b2o$2bo!

is the second-smallest still life with the property that its halves can be slid by one cell to create two similar still lives:

Code: Select all

x = 30, y = 10, rule = B3/S23
5bo11bo10bo$2o2bobo5b2o2bobo4b2o2bobo$o3bobo5bo3bobo4bo3bobo$b3obo7b3o bo6b3obo$3bo11bo10bo$5bo10bo9bo$3bob3o6bob3o5bob3o$2bobo3bo4bobo3bo3bo bo3bo$2bobo2b2o4bobo2b2o3bobo2b2o$3bo10bo9bo!  Which is the smallest? You could probably solve this easily with LLS but please don't LifeWiki: Like Wikipedia but with more spaceships. [citation needed] 77topaz Posts: 1472 Joined: January 12th, 2018, 9:19 pm ### Re: Challenges toroidalet wrote:Challenge: Find a pattern that doesn't die out in R6,C0,M1,S34..58,B34..45,NM, which I am terming "Bugs but I literally changed the range to 6 and it's still miraculously stable." A 9x9 square is a p8 oscillator: Code: Select all x = 9, y = 9, rule = R6,C0,M1,S34..58,B34..45,NM 9o$9o$9o$9o$9o$9o$9o$9o$9o!  And this is a p2 one: Code: Select all x = 11, y = 9, rule = R6,C0,M1,S34..58,B34..45,NM 3b5o$2b7o$b2o4b3o$3o5b3o$3o5b3o$3o5b3o$b4o3b2o$2b7o$3b5o!  EDIT: Catagolue has a census for this rule, which additionally lists various still lifes. Last edited by 77topaz on February 1st, 2018, 6:47 pm, edited 1 time in total. Macbi Posts: 715 Joined: March 29th, 2009, 4:58 am ### Re: Challenges BlinkerSpawn wrote:You could probably solve this easily with LLS but please don't LLS actually gives several smaller patterns than the one you've given. Code: Select all x = 32, y = 24, rule = B3/S23 5b2o10b2o10b2o$4bobo9bobo9bobo$3bo11bo11bo$2bob2o8bob2o8bob2o$bobo2bo 6bobo2bo6bobo2bo$o2bobo7bo2bobo7bo2bobo$b2obo9b2obo9b2obo$3bo12bo12bo$obo10bobo10bobo$2o11b2o11b2o5$3b2obo8b2obo8b2obo$3bob2o8bob2o8bob2o2$4b3o9b3o9b3o$3bo2bo8bo2bo8bo2bo$o2bo9bo2bo9bo2bo$3o10b3o10b3o2$2obo9b 2obo9b2obo$ob2o9bob2o9bob2o!

Admittedly there is one particularly small solution, which is probably the one you're looking for.