ConwayLife.com

I found a Sierpiński triangle pattern in seeds, want to know if it's been discovered before or what. x = 8181, y = 2, rule = B2/S o9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9b o9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9bo9b o9bo9bo9bo9bo9bo9bo9bo9bo9bo9...

b-engine wrote: ↑

April 30th, 2024, 10:34 pm

This hexagon is actually a replicator:

Code: Select all

x = 12, y = 6, rule = R1,C2,S2-3,B3,6,NW111101111H
7b3o$7bo2bo$7bo3bo$8bo2bo$9b3o$3o!

Isn't that just the bomber from HighLife?

… EDIT: p140 in 43*34 by hooking up a semi-Snark: x = 43, y = 34, rule = B3/S23 19b2ob2o$23bo$18bo2b2o$19b3o$19b3o$12b2o4bo2b2o$11b2o10bo$10b3o6b2ob2o $2o9b2o23b2o$bo34bo$bobo24b3o3bobo$2b3o4bo24b2o$4b3o2b2o15bo$4b2o3b3o 14bo$5b2o4b2o13bo$5b3o$6b3obo17b3o$8bo2$4b2o$5bo$2b3o7b2o2b2o20b2o$2b o7b3ob2o...

hotdogPi wrote: ↑

May 2nd, 2024, 7:47 am

√53 / 3 ≈ 2.4267032964 (+0.0002963779333)

(2 ^ (1/3) + 6) ^ (1 / √5) ≈ 2.426724359006832 (+0.000021062579993).

Double post but another subject :roll: Is this p14 crystallization known ? x = 129, y = 127, rule = B3/S23 126bo$126bobo$126b2o$123bo$122bo$122b3o2$119bo$119bobo$119b2o$116bo$ 115bo$115b3o2$112bo$112bobo$112b2o$109bo$108bo$108b3o2$105bo$105bobo$ 105b2o$102bo$101bo$101b3o2$98bo$98bobo$98b2o$95bo$94b...

This is pretty close to an H-to-H, but there is a blinker that is hard to destroy x = 22, y = 26, rule = LifeHistory 11.A$10.A.A$10.A.A$11.A$4.2A$4.2A2$20.A$19.A.A$20.A13$C$C.C$3C$2.C! Also interesting (H → G + Pi + Half-blockade): x = 31, y = 34, rule = LifeHistory 14.A$13.A.A$13.A.A$14.A$7.2A$7.2...

rules: 1. no glider guns Ugh... x = 29, y = 26, rule = B3/S23 b6o$o5bo$6bo$5bo5$25b4o$24bo3bo$28bo$27bo3$25bo$26bo$26bo$24b3o5$25b4o $24bo3bo$28bo$27bo! Score: infinity score: i edited the rules and made it so rakes are dissalowed What about these two? x = 27, y = 13, rule = B3/S23 5b3o11b3o$4bo3bo...

I'm still going to side with squareroot12621 on this one: to a programmer, this looks more like array indexing. It's good if the syntax looks like array indexing. Because it's meant to look like an array of variables, all of the same type and with the same set of allowed values. I wouldn't say so—i...

I think these will fill some of the gaps: 14: R U F R U F R U F R U F R U F R U F (R U F ×6) 16: F U R F U R F U R F U R F U R (F U R ×5) 28: R U F R U F R U F (R U F ×3) 40: F U R F U R (F U R ×2) 42: R U F R U F (R U F ×2) 45: U L R U L R (U L R ×2) 56: U L2 R U L2 R U L2 R (U L2 R ×3) 70: L' D R'...

Sir Robin, perhaps? #CXRLE Pos=-40,-20 x = 79, y = 31, rule = B3/S23:T96,72 8bo$6bo2bo$4b2obo3bo$4bo2bo3bo$3o2bobo$o4bobobo$3bo2bo3bo$bobo6bo$2b2o 6bo2$4b2ob2o4bob4o11bo$4b2ob2ob2ob3o2b2obob2o4bobo$4b2o4bo3bobobo6b2o $4b3o5bo4bobo6bob2o2b2o$6bo7bo5bo5bob3obo$6b2o2bobob4ob2o3bo3b2o2b2o$ 11b2obobo10bo...

When I was coding stuff for my job in Python and had to give random but distinguishable colors, I would essentially have RGB each an integer from 0 to 4, and red be the index mod 5, green increment by 1 every 5 and reset every 25, and the blue increment by 1 every 25 and reset every 125... but the ...

… Because current Display256 colors feel so unordered. That's intentional, both in the post you were quoting… … Most such color palettes don't work well with the primary use case for Display256. It's best if each state is as easy as possible to distinguish from its adjacent states. The current set ...

[...] However, I'm not a huge fan of the a [ n ] syntax for "copy n of the array a ", because it looks like you're taking the n ᵗʰ element of a . [...] "a[4]" looks like taking an element of an array "a", precisely because it is meant to be readable as "taking an element of an array of variables".…...

I like these suggested additions to ruletables. However, I'm not a huge fan of the a [ n ] syntax for "copy n of the array a ", because it looks like you're taking the n ᵗʰ element of a . If I had to suggest an alternative, I would choose a . n , which (I think) is what Nutshell already internally u...

Beehive at beehive: x = 73, y = 72, rule = B3/S23 17bo$18bo$16b3o5$41b3o3b3o2$39bo4bobo4bo$39bo4bobo4bo$39bo4bobo4bo$16b 2o5b2o16b3o3b3o$17b2o3b2o$14bo2bobobobo2bo14b3o3b3o$14b3ob2ob2ob3o12b o4bobo4bo$15bobobobobobo13bo4bobo4bo$16b3o3b3o14bo4bobo4bo2$16b3o3b3o 16b3o3b3o$15bobobobobobo$14b3ob2ob2ob3o...

Does "life-like" not include the absence of birth/survival? No, it's just 2^18 = 262,144, since there are 18 choices for whether or not to include B0, B1, S7, etc. Rules without birth or survival are just missing a lot of those transitions...uh, conditions (and are also usually really boring). So O...

Even restricting to Life-like cellular automata (which this rule is not), there are 2^18 = 262144 of them. Aren't there 263169 rules? Rules with B0-8/S0-8 = 2^18 = 262144 Rules with B/S0-8 = 2^9 = 512 Rules with B0-8/S = 2^9 = 512 B/S = 1 Sum of life-like rules = 263169 Does "life-like" not include...

The following three still lives are (from top to bottom) order-1 coiled snake, order-2 coiled snake, and order-3 coiled snake: x = 13, y = 10, rule = B3/S23 2ob2obo$ob2ob2o3$2ob2ob2obo$ob2ob2ob2o3$2ob2ob2ob2obo$ob2ob2ob2ob2o! The coiled snake is an infinite wick, while these still lives are finite ...

This is a big problem for weighted HROT rules. There's seems a bug here: x = 0, y = 0, rule = R2,C2,S2-3,B3,136,NW8888881118810188111888888 5o$5o$2ob2o$5o$5o! There're 136 neighbors in the weighted neighborhood, but LifeViewer says the maximum neighbors a cell can have is 8. "8" actually means -8, ...

Mathemagician314 wrote: ↑

April 1st, 2024, 7:15 pm

Are there any 5-cell honey farm predecessors?

The wiki page for "Honey farm" wrote:There are tens of six-cell patterns that form a clean honey farm, but none with five.

Antonin Duda wrote: ↑

April 1st, 2024, 7:17 am

Huh. Why isn't this thread active when it's April Fools Day?

Maybe because it's a Monday.

This is an April Fools' joke, in case you were wondering. The bun is usually a 17-tick predecessor of four beehives. Boring. However, under the right Life conditions, it can transform into... *reverb on* the Honeygun! The Honeygun is the smallest rake ever discovered in Life—it can be made with onl...

I made a 13G synthesis of a boat with a long^4 tail ( xs13_035iczca1 ): x = 174, y = 29, rule = B3/S23 108bo$109b2o$108b2o3$170bobo$31bo138b2o$29bobo139bo$30b2o41b2o48b2o$72b o2bo46bo2bo$72bo2bo46bo2bo30bo$73b2o48b2o32bo$42bo112b3o$41b2o$8bo32b obo43bo72bo$6b2o77b2o69bo3bobo$7b2o77b2o67bobo2b2o$30b2...

… At most double the number of tubs: x = 43, y = 42, rule = B3/S23 40bo$40bobo$40b2o$37bo$36bo$36b3o3$28bo$28bobo4bo$28b2o5bobo$25bo9b2o $24bo7bo$19bo4b3o4bo$19bobo9b3o$19b2o$16bo$15bo$15b3o3$7bo19bo$7bobo4b o12bobo$7b2o5bobo10b2o$4bo9b2o8bo$3bo7bo11bo$3b3o4bo12b3o$bo8b3o$obo$ bo13bo$15bobo4bo$bo3b...

Names I personally suggest: … Snake siamese snake siamese snake...: Constrictor If we wanted to throw convenience out the window, what about "snasnake", "snasnasnake", "snasnasnasnake", and "sna…snake"? (Or, if we didn't, we might could try "wide snake", "wide² snake", etc.) x = 26, y = 14, rule = ...