Search found 32 matches

by 400spartans
March 12th, 2024, 7:06 pm
Forum: General Discussion
Topic: Unproven conjectures
Replies: 335
Views: 132351

Re: Unproven conjectures

Edit 2: can you give any details about how you found it? I'm just using Torma and Salo's program (https://github.com/ilkka-torma/gol-agars) with two minor tweaks to speed things up. First, I exclude patterns which are just a repetition of some smaller tiling. And second, this came up in a search wh...
by 400spartans
March 12th, 2024, 2:44 pm
Forum: General Discussion
Topic: Unproven conjectures
Replies: 335
Views: 132351

Re: Unproven conjectures

The smallest you can get it is population 306. (Confirmed with LLS.) x = 34, y = 28, rule = LifeHistory 12.2C4.2C$12.C5.C$7.2C5.C5.C7.2C$6.C.A4D2A4D2A4D2AD.C$2.2C.A2DAD2A2DA D2A2DAD2A2DADA$2.C.2ADA2D2ADA2D2ADA2D2ADA2D2A$3.4D2A4D2A4D2A4D2A3DC$ 3.2ADA2D2ADA2D2ADA2D2ADA2D2AD.C$3.AD2A2DAD2A2DAD2A2DAD2A...
by 400spartans
December 17th, 2023, 3:55 am
Forum: General Discussion
Topic: Unproven conjectures
Replies: 335
Views: 132351

Re: Unproven conjectures

I personally think the exposition would be a bit improved if you separate the following steps and explain them a little more: Yeah I think that part is better explained with a little bit of abstraction. Note that below when I refer to "cell" I mean a particular generation of a cell. For the sake of...
by 400spartans
December 16th, 2023, 7:24 pm
Forum: General Discussion
Topic: Unproven conjectures
Replies: 335
Views: 132351

Re: Unproven conjectures

The article https://conwaylife.com/wiki/Density states: The maximum average density of an oscillating agar is conjectured but not proven to be 1/2. The current upper bound is 8/13, proven by Hartmut Holzwart in 1992. The following is a proof that the maximum average density of an oscillating agar is...
by 400spartans
December 27th, 2021, 4:00 am
Forum: Other Cellular Automata
Topic: Spaceships in Life-like cellular automata
Replies: 610
Views: 135723

Re: Spaceships in Life-like cellular automata

Below is a collection of ships from the Discord p1 photon-finding project in gliderdb format. This should cover all the p1 photons listed on our spreadsheet that are not already included in gliderdb. :praosylen, 2020:B2456/S5:B245678/S1578:1:0:-1:10:9:o8bo$3bo2bo$b2ob2ob2o$2b2o2b2o$2b6o$bobo2bobo$2b...
by 400spartans
December 22nd, 2020, 3:55 pm
Forum: Patterns
Topic: Spaceship Discussion Thread
Replies: 3053
Views: 1116767

Re: Spaceship Discussion Thread

6c/15 blinker puffer found with ikpx2: x = 17, y = 92, rule = B3/S23 3b3o3b3o$3bobo3bobo$bo3bo3bo3bo$bo2bo5bo2bo$b2ob2o3b2ob2o$3b3o3b3o$5b 2ob2o$2o2b3ob3o2b2o$bo2b3ob3o2bo$bo2b2o3b2o2bo3$6b3o$7bo$6b2o$5bobo$5b o2bo$8bobo$9b3o$5bob3o2bo$5bo2bo3$7bobo$7b3o$10bo$10b2o$9bo$10bob2o$ 10b4o$11bo2bo$10b2ob2...
by 400spartans
December 9th, 2020, 7:43 pm
Forum: Other Cellular Automata
Topic: LeapLife (B2n3/S23-q)
Replies: 1029
Views: 245626

Re: LeapLife (B2n3/S23-q)

EDIT: Unrelated, I believe this is the shortest possible c/3 spaceship: spaceship Shortest possible appears to be this height-7 one: x = 51, y = 7, rule = B2n3/S23-q 4bo5b3o7b3o15b3o5bo$3b2o3bo3b2obo3bo3b2o10bob2o3bo3b2o$2bo3b3o3b2ob2o 4bo3bo3bo4b2ob2o3b3o3bo$b2obobo3b2obo3bo4b2o4b2o3bo3bob2o3bobob...
by 400spartans
October 24th, 2020, 10:25 pm
Forum: Other Cellular Automata
Topic: MyrtleLife (B3-kq4j/S2-n36c)
Replies: 26
Views: 6205

Re: MyrtleLife (B3-kq4j/S2-n36c)

iNoMed's tub puffer can be used to make the following T-rake: x = 20, y = 18, rule = B3-kq4j/S2-n36c 2b2o$o4bo$6bo$o5bo$b6o3$14b2o$13b4o$13b2ob2o$15b2o2$11b3o$11b2o$11b2o 4b2o$13b4ob2o$13b6o$14b4o! A T + boat -> G reaction can be used to make the following G-rake: x = 20, y = 32, rule = B3-kq4j/S2-n...
by 400spartans
September 26th, 2020, 12:14 pm
Forum: Patterns
Topic: 1 Glider per Bit Oscillator Syntheses
Replies: 14
Views: 3853

Re: 1 Glider per Bit Oscillator Syntheses

xp2_31agozw8k871 in 12G, there's probably a more efficient cleanup (those last 2 gliders in the middle reaction are technically cleanup). x = 169, y = 78, rule = B3/S23 100bo$98b2o$99b2o22$166bo$151bo14bobo$2bo147bobo13b2o$3bo147bo$b3o156b 2o$159bo2bo$160b2o5$7bo59bo$8bo58bobo$6b3o43bo14b2o71bo$52bo...
by 400spartans
September 25th, 2020, 2:16 am
Forum: Patterns
Topic: 1 Glider per Bit Oscillator Syntheses
Replies: 14
Views: 3853

Re: 1 Glider per Bit Oscillator Syntheses

xp2_31agozx6a952 in 15G: x = 254, y = 80, rule = B3/S23 160bo$158b2o$159b2o22$242bo$241bo$241b3o4$235b2o$234bo2bo$235b2o7$251b o$251bobo$251b2o4$233bo$234bo$232b3o6$235bo$104bo116bo12bobo$102b2o 116bobo11bobo$103b2o115bo2bo11bo$218b2obobo$96bo122bob2o$97bo118bobo$ 95b3o117bo$o214b2o$b2o97bo$2o96b2o1...
by 400spartans
September 24th, 2020, 2:22 pm
Forum: Patterns
Topic: 1 Glider per Bit Oscillator Syntheses
Replies: 14
Views: 3853

Re: 1 Glider per Bit Oscillator Syntheses

Somehow got xp2_4k1u1kiczx1 in 11G. Did not expect a reduction of 10 gliders. x = 98, y = 47, rule = B3/S23 35bo$33b2o$23bobo8b2o$23b2o$24bo12$77bo$20bo54bobob2o$20bobo54bo3bo$ 20b2o52b2obobobo11bo$b2o64bobo7bo2bo12bo$obo65b2o6bobo14bo$2bo22b2o41b o$25bobo61b3o$25bo49bo20bo$75bo19b2o$75bo19bobo2$35b...
by 400spartans
September 24th, 2020, 6:01 am
Forum: Patterns
Topic: 1 Glider per Bit Oscillator Syntheses
Replies: 14
Views: 3853

Re: 1 Glider per Bit Oscillator Syntheses

xp2_4k4g4gljz32 in 16G: x = 146, y = 43, rule = B3/S23 12bo$13bo$11b3o3$73bo$73bobo$73b2o$46bo$47b2o$16bo29b2o96bo$17b2o124bo $16b2o35bo89b3o$48bo2b2o$46bobo3b2o$47b2o90b2o$17b3o119b2o$19bo$18bo 105b2o$124bobo3bo$130bo$124bo2b2o2bo$125bo$125bo3bobo$57bo72b2o$56bo$ 56b3o56b2o$27b2o86b2o$22b2o3bobo$23...
by 400spartans
September 24th, 2020, 12:51 am
Forum: Patterns
Topic: 1 Glider per Bit Oscillator Syntheses
Replies: 14
Views: 3853

Re: 1 Glider per Bit Oscillator Syntheses

xp2_kg34azwa4o15 in 15G: x = 151, y = 55, rule = B3/S23 8bo$7bo$7b3o$4bo$5bo$3b3o53b2o$58bo2bo$59b2o4$45bobo$46b2o70b2o$46bo 71b2o$111bo$56bobo3bo48bo$57b2o2bo49bo$57bo3b3o4$111b3o$113bo$61bo50bo $60bobo68bobo$60bobo68bo$61bo65bobo4b2o$128bo4bo$56bo69b2o4bobo$55bobo 72bo$55bobo70bobo$2bo53bo92bo$3b2...
by 400spartans
September 23rd, 2020, 6:01 pm
Forum: Patterns
Topic: 1 Glider per Bit Oscillator Syntheses
Replies: 14
Views: 3853

1 Glider per Bit Oscillator Syntheses

Since the 17-glider RCT shows that every synthesizable SL can be done so at a cost of less than 1 glider per bit, it would be great if the same could be said for oscillators. There are three main classes of oscillators that would need optimizations: First are oscillators with a synthesis cost of abo...
by 400spartans
September 19th, 2020, 1:09 pm
Forum: The Sandbox
Topic: Explosivity metrics
Replies: 2
Views: 1074

Re: Explosivity metrics

I think I remember posting something to the discord along the lines of "smallest n such that 50% of n by n soups explode." It has the benefit of distinguishing between rules that explode at different scales, but it's still kinda hard to confirm without checking a lot of soups. It's also a discrete m...
by 400spartans
August 27th, 2020, 4:03 am
Forum: Other Cellular Automata
Topic: Galloping Gliders (B3-er4city/S23-a4city)
Replies: 13
Views: 3647

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

Here's some ortho ships at speeds c/2, 2c/4, 3c/6, 4c/8, and c/5: x = 95, y = 20, rule = B3-er4city/S23-a4city 3b3o5b3o14b3o11b3o5b3o11b3o4b3o14bo$2bo3bo3bo3bo13bobo10bo3bo3bo3bo10b o2bo2bo2bo14bo$bo4b2ob2o4bo8b3obo2bo8bo4b2ob2o4bo9bo8bo12b5o$bo2bobobo bobo2bo7bo2bob4o8bo2bobobobobo2bo11bo4bo$2ob2o7...
by 400spartans
August 10th, 2020, 12:42 am
Forum: Other Cellular Automata
Topic: Random Non-Relativistic Rules Project
Replies: 54
Views: 13013

Re: Random Non-Relativistic Rules Project

c/4o and c/5o in rule 100. x = 34, y = 25, rule = B2ein3-cnqr4inrwyz5eiy6ain/S01c2e3-aejr4-ijnw5acek6cei8 bo9bo15b2o$o11bo12bo4bo$2obob3obob2o11b8o$obo3bo3bobo11bo6bo$o11bo11b 2o4b2o$4b2ob2o17bo2bo$4bobobo14bo8bo$bobo2bo2bobo11bo8bo$bobob3obobo 10bo10bo$3bo2bo2bo13bo8bo$2b2ob3ob2o12b2o6b2o$3bob3obo1...
by 400spartans
August 3rd, 2020, 2:14 pm
Forum: Other Cellular Automata
Topic: Spaceships in Life-like cellular automata
Replies: 610
Views: 135723

Re: Spaceships in Life-like cellular automata

Some photons: x = 9, y = 16, rule = B246/S3467 4bo$2bo5bo$2b3obo$b2o2b2o$bobo4bo$3o2bo$3o$b2o$b2o$3o$3o2bo$bobo4bo$b 2o2b2o$2b3obo$2bo5bo$4bo! x = 12, y = 18, rule = B25/S135 2bo$2b2o$3b2o$b2ob2o2bo2bo$b2o5b2o$3bob5o$2b4o3bo$bo3bobo3bo$o3bob2o$o 3bob2o$bo3bobo3bo$2b4o3bo$3bob5o$b2o5b2o$b2ob2o2bo2bo$...
by 400spartans
July 20th, 2020, 2:03 am
Forum: Other Cellular Automata
Topic: Immortalife (B3-cqy4j/S2-n34i)
Replies: 42
Views: 24339

Re: Immortalife (B3-cqy4j/S2-n34i)

Hunting wrote:
July 20th, 2020, 1:00 am
400spartans wrote:
July 19th, 2020, 4:29 pm
22-cell c/4o

Code: Select all

x = 8, y = 11, rule = B3-cqy4j/S2-n34i
6bo$bo4bo$3o2bobo$3o2$2b4o$bo2bo$o$o$o2bo$o!
Don't necropost like a LaundryPizza please.
Two-weeks old is not dead. I'm just posting a new finding in the appropriate thread.
by 400spartans
July 19th, 2020, 8:33 pm
Forum: Other Cellular Automata
Topic: Zakai (B2-ak3ai/S23)
Replies: 16
Views: 4691

Re: Zakai (B2-ak3ai/S23)

3 of the p45 guns can be combined to make a p45 8c/16o gun. x = 39, y = 30, rule = B2-ak3ai/S23 33b2o$27b2o4bo2bo$27b2o6b2o$37bo$37bo$25b2o10bo$25b2o7bo2bo$33bo2b2o$ 27b2o3bo$27b2o4bo4bo$38bo$34bo$34bobo2$2bobo$4bo$o$o4bo4b2o14b2o$6bo3b 2o14b2o$b2o2bo17b2o5b2o$bo2bo7b2o9b2o5b2o$bo10b2o$bo$bo$2b2o6b2...
by 400spartans
July 19th, 2020, 6:32 pm
Forum: Other Cellular Automata
Topic: Random Non-Relativistic Rules Project
Replies: 54
Views: 13013

Re: Random Non-Relativistic Rules Project

Some more rule #69 spaceship speeds: 132-cell 2c/4o x = 17, y = 23, rule = B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8 4bobo3bobo2$bobo4bo4bobo$3obobobobobob3o$obo3bobobo3bobo$2o2bobobobobo 2b2o$bo2bob2ob2obo2bo$b2ob3o3b3ob2o$2bobo2bobo2bobo$2bobo3bo3bobo$8bo$ 7b3o$3b2obo3bob2o$2b2o2b5o2b...
by 400spartans
July 19th, 2020, 4:29 pm
Forum: Other Cellular Automata
Topic: Immortalife (B3-cqy4j/S2-n34i)
Replies: 42
Views: 24339

Re: Immortalife (B3-cqy4j/S2-n34i)

22-cell c/4o

Code: Select all

x = 8, y = 11, rule = B3-cqy4j/S2-n34i
6bo$bo4bo$3o2bobo$3o2$2b4o$bo2bo$o$o$o2bo$o!
by 400spartans
July 19th, 2020, 12:59 am
Forum: Other Cellular Automata
Topic: Random Non-Relativistic Rules Project
Replies: 54
Views: 13013

Re: Random Non-Relativistic Rules Project

Rule #69 is highly explosive. Even two cells, after interacting with each other, will quickly turn into a hot mess: x = 3, y = 1, rule = B2ce3ajnry4-acekr5-k6ac7e/S02aen3ciy4ajknrtz5enry6-ek8 obo! This expansion appears to happen at a speed of c/4. Despite this explosiveness, there are a lot of spac...
by 400spartans
July 18th, 2020, 7:33 pm
Forum: Other Cellular Automata
Topic: B34/S13
Replies: 19
Views: 11767

Re: B34/S13

22-cell c/3o with a smaller average population (22.33 vs 24.33) x = 9, y = 9, rule = B34/S13 3bo$3b3o$2b2obo$4bo$bo2bo2bo$obobo$b2o5bo$3b2ob2o$5bo! Rather sparse 100-cell c/6o x = 14, y = 35, rule = B34/S13 6b2o$5bo2bo2$6b2o$3bo2b2o2bo$bo3bo2bo3bo$2bo2b4o2bo$2bo8bo2$5b4o$3b2o 4b2o3$o3b6o3bo$o12bo$5b...
by 400spartans
July 18th, 2020, 5:47 pm
Forum: Other Cellular Automata
Topic: Shoots and Roots (B3/S245678)
Replies: 22
Views: 11993

Re: Shoots and Roots (B3/S245678)

32-cell c/3o x = 10, y = 9, rule = B3/S245678 2o$2bo$bo3bo$b2o$b2ob3ob2o$3o4b3o$b4o2b2o$4b2ob3o$6bo! 46-cell 2c/6o x = 7, y = 15, rule = B3/S245678 3bo2$bobobo$b2ob2o$2b3o$2bobo$ob3obo$3ob3o$bobobo$o5bo$2b3o$2b3o$2b3o$ b5o$2b3o! 57-cell c/4o x = 10, y = 20, rule = B3/S245678 2bob2obo$bob4obo2$2bo4bo...