EDIT 2025-3-7 Added my rule collection to User:R2INT! Edits to include new discoveries are welcome.
EDIT 2025-3-21 Updated the Starflakes oscillator collection!
2-State INT Rules:
1: Starflakes (B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78)
This is a rule I made to have these patterns:
Code: Select all
x = 20, y = 3, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
bo9bo5b3o$obo5b3o6bobo$11bo5b3o!Code: Select all
x = 4, y = 4, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
2bo$bobo$b2o$o!Code: Select all
x = 25, y = 13, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
2b2o4bo6bo6bo$2b2o3b3o3b3o4b3o$6b3o5b3o4b3o$7bo7bo5bo3$9bo$bo5b2ob2o4b
2o4b2o$b2o4b5o4b2o4b2o$4o2bobobobo2bo2bo2bob2o$bo5b5o4b2o4b2o$7b2ob2o
4b2o4b2o$9bo!Code: Select all
x = 319, y = 242, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
97b2o$33bo2bo2bo7bo5bo4b3o4bo4b2o5b3o14bo2b2o4b4o6bo$34bo2bo2bo7bo9bo
bo4bo3bobo5bobo6bobo6bo7b4o6bo$27b2o24bo4b3o4bo3b2o4b7o14bo6b4o6bo$27b
2o10bo25bo10b2ob2o5bobo4b2o2bo5b4o5bobo$40bo37bo14b2o$78bo$33bo2bo2bo
$bo7bo5bo5bo5bo6bo2bo2bo63b2o$2obo3b4o2b3o3b3o4b3o20b3o51bobo4b2o190b
o$2bob2o2b2o4b3o3b3o4b3o3bo14b2ob2o6b2o5bo5b2o7bo6bo5bobo5b3o5bobo187b
2o$4bo4bo4bo6bo6bo5bo12b7o5b2o5b2o4b2obo5b3o4b3o3bobo4b3o5bo190b3obo$
47bobobobo4bo2bo3bo2bo7b2o2bo2bo3bo2bo9bobo7bobo186bob3o$33bo2bo2bo7b
7o5b2o5b2o8b2o3b2o5b2o4bobo3b2o8b2o190b2o$20bo7bo5bo2bo2bo7b2ob2o7bo6b
o14bo5bo179bo7bo2bo2bo18bo$19b2obo3b4o19b3o217bo5bo2bo2bo17bo$21bob2o
2b2o262bo6b3o$23b2o2b2o239bo7bo15b2o5b3o$6bo6bo255bo5bo13bob3o6bo3bo$
5b2o5b2o276b3obo2bo5b3o2bo$7bo6bo3b2o7b2o239bo7bo2bo2bo7b2o4b3o3b3o4b
2o$6bo6bo4b2obo5b2o240bo5bo2bo2bo10bo2b3o5bo2bob3o$6bo6bo6bob2o2bo2bo
3bo2bo2bo27b2o28b2o2b2o193bo3bo6b3obo$7bo4bo9b2o3b2o5bo2bo2bo26b2o30b
2o167bo7bo5bo16b3o5b2o$5b2o6b2o12b2o37bo2bo17b4o8b2o168bo5bo5bo18b3o6b
o$6bo6bo25bo27b2o7b3o7b6o7b2o200bo$40bo36b3o5b8o5b4o166bo7bo2bo2bo16b
o$46b2o5b2o2b2o7b4o5b6o4b8o5b4o167bo5bo2bo2bo15b2o$15bo5bo11bo2bo2bo5b
obo5bob2obo7b4o6b5o4b8o5b4o195b3obo$14b2o4b2o5b2o5bo2bo2bo5b2o5b2o2b2o
18b2obo4b8o5b4o194bob3o$16bo5bo4b2o38b2o9bo7b6o7b2o198b2o$15bo5bo4bob
2o9bo26bo2bo17b4o8b2o197bo$15bo5bo5b2o11bo26b2o30b2o$16bo3bo6b2o38b2o
28b2o2b2o$14b2o5b2o10bo2bo2bo$14b2o5b2o11bo2bo2bo3$268bo6bo2bo2bo$269b
o6bo2bo2bo$33bo5bo250b3o$34bo5bo70b2o155bo6bo5bo10bo$111b2o19bo136bo6b
o5bo9bo$33bo5bo22bobo56bo169bobo$34bo5bo3bobo8bobo4bobo6bo21b3o4b6o6b
obo5b4o7b2o135bo6bo2bo2bo10bo$46bo23b4o6bo2bobo7bobo3b8o6bo5bo2b2o5bo
2bo136bo6bo2bo2bo10bo$33bo2bo2bo5bob2o6bobo4bobo4bo2b2o8bo6bobobobo3b
8o13b2o2bo5b3o159bobo$34bo2bo2bo5bo9bo6bo6b2o2bo5bo2bobo8bo5b6o8b2o4b
2ob2o4b2o137bo6bo5bo11bo$48bo21b4o19bo20b2o6bo6bo139bo6bo5bo10bo$39bo
14b2o5b2o9bo56bo163b3o$40bo13b2o5b2o205bo6bo2bo2bo$269bo6bo2bo2bo$39b
o$40bo5$34bo2bo2bo$33bo2bo2bo2$34bo21bo9b2o14b2o10b2o2b2o163bo2bo2bo5b
o2bo2bo$33bo20bo3bo5b2obo12b2obo10bob2obo164bo2bo2bo5bo2bo2bo$49b2o5b
o7b2ob3o10b2ob3o6b3ob2ob3o$34bo2bo2bo5bo2b2o3b2ob2o4b3o3bo9b3o3bo6bo3b
2o3bo167bo11bo9bo15bo$33bo2bo2bo5bobo8bo5b7o8b8o8b8o169bo11bo9bo4b2o9b
o4b2o$46bo17b5o8b8o8b8o192bo3b2o10bo3b2o$40bo13b2o9b2o9bo3b3o9bo3b2o3b
o161bo2bo2bo5bo2bo2bo$39bo14b2o9bo10b3ob2o10b3ob2ob3o162bo2bo2bo5bo2b
o2bo$78bob2o12bob2obo193bo15bo3b2o$34bo2bo2bo37b2o14b2o2b2o163bo17bo10b
o15bo4b2o$33bo2bo2bo224bo17bo8bo15bo2$263bo2bo2bo5bo2bo2bo$127bo16b2o
118bo2bo2bo5bo2bo2bo$126b2o16b2o$128bo14b4o$34bo2bo2bo6bo22bo4bo50b2o
14b6o$33bo2bo2bo5b2ob2o5b6o7b2obo2bob2o5b3ob3o3b3ob4ob4ob4ob4ob3o6b2o
13b8o$45b2obo6b6o9bo4bo49bo14b10o$34bo91b2o11b12o$33bo92bo11b14o$136b
8obob6o$34bo2bo2bo39bo55b9ob9o$33bo2bo2bo5b3o7b3o21bo58b6obob8o$45bob
o7bobo13bo10b2o55b14o$34bo5bo4b3o7b3o11bo2bobo5bo2bo56b12o$33bo5bo27b
3o2b2o6bo2b2o56b10o157b3o$47bo9bo10b2o2b3o6b2o2bo56b8o158bobo$34bo2bo
2bo8b2o8b2o6bobo2bo9bo2bo57b6o113bo2bo2bo6bo5bo27bo$33bo2bo2bo8bobo7b
obo9bo11b2o60b4o115bo2bo2bo6bo5bo6b2o$49bo9bo26bo58b2o142bo$49bo9bo25b
o59b2o121bo6bo5bo10bo$269bo6bo5bo8b2o14bo3b2o$307b2ob2o5b2o$262bo2bo2b
o6bo2bo2bo19b2o5b3o5bobo$263bo2bo2bo6bo2bo2bo18bobo5b3o5b2o$33bo2bo2b
o251bo9b2o5b2ob2o$34bo2bo2bo221bo18bo8bobo14b2o3bo$69b2o7b6o179bo18bo
8bo$39bo29b2o7b6o207bo$40bo37b6o178bo2bo2bo12bo$50bo3b2o8b2o3bo6b10o177b
o2bo2bo12bo27bo$39bo5b2o2bobo2b2o4b2o2bobo3b2o4b10o223bobo$40bo4b2o3b
o9b2o3bobo2b2o4b10o223b3o$62bo3b2o8b10o$39bo38b6o$40bo20b2o15b6o$61b2o
15b6o$39bo$40bo2$294bo$262bo2bo2bo6bo2bo2bo11b3o2bo$263bo2bo2bo6bo2bo
2bo9bob2o2b2o$291b8obo$33bo2bo2bo228bo12bo11b9o$34bo2bo2bo228bo12bo10b
8o$291b8o$33bo5bo222bo2bo2bo12bo8b9o$34bo5bo46b2o174bo2bo2bo12bo8bob8o
$49bo5bo10bo20b2o6bo3b2o19bobobo167b2o2b2obo$33bo2bo2bo8bo5bobo2b2o6b
o6bo5bo5b4o5b2ob2o6b2obob2o7bobobo137bo18bo11bo2b3o$34bo2bo2bo6bo7bo3b
2o7bo7bobo17b3o7bo5bo5b9o136bo18bo14bo$46bo22bo4bo5bo16b3o6b2obob2o7b
obobo$33bo5bo37bo18b2ob2o19bobobo137bo2bo2bo12bo$34bo5bo35bobo8b2o6b2o
3bo162bo2bo2bo12bo$67b2o8bo9b2o$33bo2bo2bo27b2o$34bo2bo2bo9$33bo2bo2b
o36bo$34bo2bo2bo33b4o$70bob2ob2ob2o215bobo$33bo5bo30bo2b5o185bo2bo2bo
4bo5bo12bob2o$34bo5bo28bob7obo182bo2bo2bo6bo5bo10bobobo2bo$48bo2b4o2b
o10b7ob4o213bobob2obo$33bo2bo2bo6b14o9b4ob5obo182bo10bo5bo9bo2bob2o2b
o$34bo2bo2bo5b14o9bob5ob4o181bo12bo5bo9b2ob5ob2o$48bo2b4o2bo12b4ob7o208b
2ob5ob2o$39bo30bob7obo182bo2bo2bo4bo2bo2bo11bo2b2obo2bo$40bo31b5o2bo182b
o2bo2bo6bo2bo2bo9bob2obobo$70b2ob2ob2obo212bo2bobobo$39bo32b4o193bo10b
o14b2obo$40bo32bo194bo12bo12bobo2$263bo2bo2bo10bo$262bo2bo2bo12bo6$26b
o6bo2bo2bo$27bo6bo2bo2bo2$26bo6bo5bo$27bo6bo5bo7b2o2b3o21bobo$48b2o2b
obo6bobobo10bobo$26bo6bo5bo12b3o7b5o5b4o3b4o$27bo6bo5bo20b5o10bobo$50b
2o10bobobo9bobo$26bo6bo5bo10b2o211bo2bo2bo5bo5bo$27bo6bo5bo221bo2bo2b
o7bo5bo15b2o$297bobo$26bo6bo2bo2bo223bo11bo5bo13b3ob2o$27bo6bo2bo2bo221b
o13bo5bo10b3obo2bo$293bo3b5o$263bo2bo2bo5bo2bo2bo12b5o3bo$262bo2bo2bo
7bo2bo2bo12bo2bob3o$295b2ob3o$263bo5bo11bo14bobo$262bo5bo13bo13b2o2$263b
o2bo2bo11bo$262bo2bo2bo13bo3$26bo12bo$27bo12bo$51bo$26bo12bo13bo$27bo
12bo8b4o$50bobobo$26bo12bo7bob4o$27bo12bo6b4obo$45bobobo$26bo12bo7b4o
$27bo12bo5bo$48bo$26bo12bo$27bo12bo4$247bo2bo2bo7bo2bo2bo7bo2bo2bo$248b
o2bo2bo7bo2bo2bo7bo2bo2bo2$247bo13bo5bo7bo5bo$248bo13bo5bo7bo5bo21bo2b
o$26bo6bo2bo2bo20b3o8bo232b4o$27bo6bo2bo2bo20b4o2b2ob2o175bo2bo2bo7bo
2bo2bo7bo5bo22b4o$63b6ob2o176bo2bo2bo7bo2bo2bo7bo5bo21b4o$26bo12bo13b
o7b10o233b4o$27bo12bo11bobo6b10o176bo5bo13bo7bo5bo22bo2bo$47b2o4bo8b8o
178bo5bo13bo7bo5bo$26bo6bo2bo2bo7bo14b8o$27bo6bo2bo2bo9bo10b10o176bo2b
o2bo13bo7bo2bo2bo$49b2o10b10o177bo2bo2bo13bo7bo2bo2bo$26bo6bo26b2ob6o
$27bo6bo25b2ob2o2b4o$60bo8b3o$26bo6bo2bo2bo$27bo6bo2bo2bo7$53bo$26bo7b
o5bo12bo$27bo7bo5bo8b2obob2o$49bob5obo$26bo7bo5bo8b2ob3ob2o8bobo$27bo
7bo5bo8b2obob2o8bobobo$47b6ob6o4bobobobo$26bo7bo2bo2bo9b2obob2o8bobob
o$27bo7bo2bo2bo7b2ob3ob2o8bobo$49bob5obo$26bo13bo9b2obob2o$27bo13bo11b
o$53bo$26bo13bo$27bo13bo!Code: Select all
x = 99, y = 45, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
bo13b2o2b2o12b4o14bo18bo18bo4bo$obo11bobo2bobo10bo4bo11b2ob2o16bo19bo
2bo$13bo2b4o2bo9b6o11b5o15bobo16bo2b2o2bo$12b2o2bo2bo2b2o9b4o11bob3ob
o13bobobo15b8o$14bo2b2o2bo12b2o11b4ob4o11bob3obo12b2ob6ob2o$17b2o27bo
bobobobobo11b5o14b10o$14bo6bo28bobo13bob5obo15b4o$14b2o4b2o24bobo5bob
o10bo2bo2bo12b3ob4ob3o$14b2o4b2o25bo7bo9b3obobob3o10b2ob6ob2o$15bo4bo
28b2ob2o12bo7bo16b2o$48b2o3b2o12bo2bo2bo14bo6bo$15bo4bo25bo2bobobo2bo
10b7o14bo6bo$47bo2bobo2bo9bob2o3b2obo13bo4bo$14b3o2b3o23b3o3bo3b3o9b2o
3b2o$14b8o23bo2bob3obo2bo8bobobobobo14bob2obo$11b3ob6ob3o21bobob3obob
o12bobo17bo4bo$11bob2ob4ob2obo23bo5bo12b7o14b2ob2ob2o$10b3o2b6o2b3o23b
o3bo12b2obobob2o14bo4bo$11b2o2b6o2b2o23bob3obo10b2obo3bob2o11b2ob4ob2o
$10bob12obo21bobobobobo11b2o3b2o15b6o$12bob8obo22b2obobobob2o9b2o5b2o
13b8o$12bob8obo24bo2bo2bo15bo18b6o$13b10o26b5o15bobo16b2ob2ob2o$14b8o
25bobo3bobo11bo2bo2bo13bobob2obobo$13b2ob4ob2o23bob2o3b2obo8bo2bobobo
2bo12b8o$14bob4obo25b2ob3ob2o10b2o5b2o12bob6obo$15bob2obo26bobobobobo
11bo5bo12b2ob6ob2o$15b6o25bobo2bo2bobo8b2ob2ob2ob2o9bo2b8o2bo$15b6o25b
2obobobob2o7bobo3bo3bobo8bo2b8o2bo$16b4o25bo3bobobo3bo7bo3bobo3bo12b8o
$17b2o27bo2bobobo2bo8bobobobobobo11bob6obo$48bo2bo2bo10b2o3bo3b2o13b6o
$48bo5bo9bo4bobo4bo10b10o$46b3o5b3o10b2obob2o13b10o$69bobo14b2ob6ob2o
$47b3o3b3o13bobo15b10o$46bob2o3b2obo30bob6obo$45bo11bo28b2ob6ob2o$46b
obo2bo2bobo30bob6obo$46b4o3b4o29b2ob6ob2o$49b5o34b8o$50bobo36b6o$50bo
bo36b6o$88bob4obo$90bo2bo!
Spaceships:
c/3d, c/4d, c/5d, c/7o, 2c/7o, 3c/7o
Missing oscillator periods:
13, 17, 19, 22, 25, 26, 29-41,43-47, 49-53, 55-63,65-68,70-91,93-127,129-191,193-255, 257-319, 321-383, 385-447, 449-511, 513-575, 577-639, 641-689, 691-704, 705+
Find linear growth
Misc:
For the T, find the following:A p64 phase-changing reflector(found by confocaloid),a phase-preserving reflector, a 180-degree reflector, and a pusher.
2: 5x5 (B2cin3ackn4cijknrt5aik6akn7e8/S02ein3ak4cijkrty5-ckqy6ac7e8)
Another interesting rule where the bi-dot evolves into a 5x5 block:
Code: Select all
x = 3, y = 1, rule = B2cin3ackn4cijknrt5aik6akn7e8/S02ein3ak4cijkrty5-ckqy6ac7e8
obo!Some oscillators (p2, p3, p4, p7, p8, p11, p12, p25, p69):
Code: Select all
x = 67, y = 213, rule = B2cin3ackn4cijknrt5aik6akn7e8/S02ein3ak4cijkrty5-ckqy6ac7e8
8b4o$8b4o$8bob2o$8b4o3$11b3o$11b3o2$8b2o2bo2b2o$8b2ob3ob2o$8b2o2bo2b2o
2$11b3o$11b3o5$8b5o$8bobobo$8b5o$8b5o$10bo7$10bo10bo2$10bobo6bobo$7bo
b2o2bob2obo2b2obo2$9bo12bo$10bo10bo2$10bo10bo$10bo10bo2$10bo10bo$9bo12b
o2$7bob2o2bob2obo2b2obo$10bobo6bobo2$10bo10bo8$14bobo2bobo2$13bobo4bo
bo2$13bo8bo$12bo10bo$9bobo12bobo$7bo20bo$9bo16bo$7bo20bo3$7bo20bo$9bo
16bo$7bo20bo$9bobo12bobo$12bo10bo$13bo8bo2$13bobo4bobo2$14bobo2bobo9$
9bobo2bobo$8b2obo2bob2o$9bobo2bobo$3bo18bo5$bo22bo$3o20b3o2$3o20b3o3$
3o20b3o2$3o20b3o$bo22bo5$3bo18bo$9bobo2bobo$8b2obo2bob2o$9bobo2bobo7$
46bob3o2b3obo2$46bob3o2b3obo$40bo22bo6$37bobo24bobo2$11b3obo21bobo24b
obo$37bobo24bobo$11b3obo21bobo24bobo3$37bobo24bobo$37bobo24bobo$37bob
o24bobo2$37bobo24bobo6$40bo22bo$46bob3o2b3obo2$46bob3o2b3obo7$9bobo4b
obo$8bo10bo2$8bo10bo$12bo2bo3$12bo2bo$8bo10bo2$8bo10bo$9bobo4bobo15$4b
obo2bo5bo10bo5bo2bobo$6b2o26b2o$4b2ob2o24b2ob2o$5b4o24b4o$6b3o24b3o$4b
o32bo6$4bo32bo11$4bo32bo6$4bo32bo$6b3o24b3o$5b4o24b4o$4b2ob2o24b2ob2o
$6b2o26b2o$4bobo2bo5bo10bo5bo2bobo!Code: Select all
x = 116, y = 13, rule = B2cin3ackn4cijknrt5aik6akn7e8/S02ein3ak4cijkrty5-ckqy6ac7e8
5bobo3bobo5bo8bo9bo7bobo12bobo13bo20bo15bo$27b3o7b3o17bo48bo$6b2o4b2o
3b5o7bo2bobo2bo7b5o10b5o$7bo5bo16b3ob3o$6bo20bob9obo$4b2o24b2o3b2o$5b
o19bo5b2ob2o5bo$4bo22bo5bo5bo$2b2o23bo3b5o3bo36bobo18bobo13bobo$3bo26b
ob3obo$2bo27bob3obo69bo$2o30b3o$bo!A (7,1) c/23 fuse:
Code: Select all
x = 119, y = 20, rule = B2cin3ackn4cijknrt5aik6akn7e8/S02ein3ak4cijkrty5-ckqy6ac7e8
118bo$111bo$104bo$97bo$90bo$83bo$76bo$69bo$62bo$55bo$48bo$41bo$34bo$27b
o$20bo$13bo$6bo3$obo!Goals:
For the spaceships:
c/4o, c/5o, 2c/5o, c/4d, c/5d
Find more oscillators (p3 and p25 by hibiscus)
Find a p2, or prove that no exist
Find other missing periods (p5, p6, p9, etc.)
Misc:
Name the spaceships (naming suggestions by Banananananan)
3: Spines (B012aen3-kr4enz5acny6-k7e/S2-k3-in4-cirwy5-jy6in)
This is the 1-transition away rule. The original (B012aen3-kr4enz5acny6-k7e/S2-ck3-in4-cirwy5-jy6in) is explosive.R2INT wrote: July 11th, 2024, 6:12 pm ...
EDIT2 continued: 1-transition away rule that is stable yet has many of the interesting behaviors:Code: Select all
. . .
Some small oscillators:
Code: Select all
x = 21, y = 41, rule = B012aen3-kr4enz5acny6-k7e/S2-k3-in4-cirwy5-jy6in
bo13bo$3o3b2o5bobobo$3o5bo4bobobo$bo7bo5bo$9bo10$8bo2bo$b2o4b6o4bobo$
8b4o7b2o$b2o5b4o5b2o$4o3b6o5bobo$o2bo4bo2bo9$b2o$o$2bo$2o7$obo$o$b2o!Code: Select all
x = 7, y = 10, rule = B012aen3-kr4enz5acny6-k7e/S2-k3-in4-cirwy5-jy6in
b5o$3bo$b5o$b5o$2b3o$7o$7o$bobobo2$2bobo!Apgsearch this rule
Spaceships:
c/4o, c,6o, c/4d, c/6d
Oscillators:
p8, p10, p12, p14, p18+2n
4: Seashells (B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8)
This rule is named for its abundance in seashell-looking still lives:
Code: Select all
x = 24, y = 11, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
bo4bo3bo4bo4bo$b2o3b2o2b2o3b2o3b2o$7bo3b2o3b2o3b2o$17bo4b2o4$bo4b2o$3o
4b2o$bo4b2o$7bo!Code: Select all
x = 51, y = 186, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
10bo2bo3bo$11bo2bobo2$16bo$17bo18bo13bo$25bo8b2o12b2o$11bobo3bo8bo6b3o
3bo8b2o$10bo3bobo17bo4b3o5bo$40bobo$10bo$11bo2$11bobo2bo$10bo3bo2bo8$
11bo5bo$10bo5bo2$10bo5bo8bo$11bo5bo6b2o2$11bobo3bo9b2o$10bo3bobo10bo2$
17bo$16bo2$16bo$17bo4$10bo3bo2bo$11bobo2bo2$11bo$10bo$25bo$10bo3bobo7b
2o10b2o$11bobo3bo17bo$27bo6b2o2b2o$17bo10b2o4bo4bo$16bo11bo2$11bo2bob
o$10bo2bo3bo4$10bo$11bo2$10bo$11bo$25b2o$11bobo3bo7bobo$10bo3bobo9bob
o$27b2o$10bo5bo$11bo5bo2$11bobo3bo$10bo3bobo5$29bo$11bobo3bo11b2o$10b
o3bobo2$16bo12b3o$17bo6b2o2bo3bo$25bo2bobobo2bo$16bo11bo3bo2b2o$17bo11b
3o2$16bo$17bo12b2o$31bo$17bo$16bo12$12bobo3bo$11bo3bobo$32bo$11bo5bo14b
2o$12bo5bo9bo$27b2o$12bo2bobo11bo$11bo2bo3bo11b2o$30bo$17bo7b2o$18bo7b
o2$18bo$17bo10$o2bo3bo3bobo3bo$bo2bobo3bo3bobo2$6bo3bo5bo25bo$7bo3bo5b
o23bo$28bo12b3o$bobo3bo2bo5bo10bo$o3bobo4bo5bo9b3o$37b2o$o9bo5bo21bo$
bo9bo5bo2$bobo2bo4bobo3bo$o3bo2bo2bo3bobo12$o2bo3bo2bo2bo3bo$bo2bobo4b
o2bobo2$6bo9bo10bo$7bo9bo7b3o$27b2o$bobo3bo3bobo3bo8bobo$o3bobo3bo3bo
bo10bo2$o9bo$bo9bo2$bobo2bo4bobo2bo$o3bo2bo2bo3bo2bo12$o5bo3bo5bo$bo5b
o3bo5bo2$o5bo3bo5bo$bo5bo3bo5bo$28b2o$bobo3bo3bobo3bo9bo2bo$o3bobo3bo
3bobo10bo$28b2o$6bo9bo$7bo9bo2$6bo9bo$7bo9bo!Code: Select all
x = 72, y = 50, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
5b2o4b3o3b2o5b2o6b2o8b3o6b3o8b2o3b2o$5bo5bobo2bo2bo3bo2bo4bo2bo7bo10b
o6b2ob2ob2ob2o$5b2o24bo9b2o10b2o4b2obo5bob2o$25bo7b2o6bo12bo4bobobo3b
obobo$43b2o6b2o7b5ob5o$3o40b4o2b4o9bo5bo$obo39b2obo4bob2o9bo3bo$41b3o
8b3o6b3o3b3o$41bob4o2b4obo7bo5bo$44bobo2bobo11bo3bo$45bob2obo12bo3bo$
62b3ob3o$62b2o3b2o$63bobobo$60b2obo3bob2o$60bo2b5o2bo$60bo4bo4bo$61bo
2bobo2bo$60bo9bo$64b3o$59bob3o3b3obo$59b3ob2ob2ob3o$61b3o3b3o$63bo3bo
$62bobobobo$64bobo$64bobo$60b2ob5ob2o$59bo2bo5bo2bo$64b3o$60bobobobob
obo$61bobo3bobo$61bo7bo$61bo7bo$61bobo3bobo$61bob2ob2obo2$63bo3bo$62b
3ob3o2$62b3ob3o$61b2o5b2o$61bo2b3o2bo2$59b2o9b2o$60bo2b2ob2o2bo$63bo3b
o$63bo3bo$63b2ob2o$65bo!Apgsearch this rule
Spaceships:
c/4o, c/6o, 2c/5o, c/4d, c/5d
Oscillators:
p3, p8, p10-19, p21, p23-43, p45+
The p7 and p9 were found by hibiscus.
5: SuperpondLife (B34q7c/S23-r7c)
This rule is named for its abundance of superponds, and it's closeness to Life.
Superpond predecessor (left), four loaves (middle), butterfly evolving into beehive at beehive (right):
Code: Select all
x = 34, y = 4, rule = B34q7c/S23-r7c
bo14b3o11b3o$3o12b5o13bo$b3o11bobobo13bo$2bo30bo!Code: Select all
x = 163, y = 160, rule = B34q7c/S23-r7c
123b2o14b2o14bobo$4bobobo114b2o13b4o14bo$123b2o11b8o9b2obob2o$8bo112b
6o8b10o7bo3bo3bo$21b3o2b3o3b2o5b2o4b2o5bo8bo3b2o5b2o6b3o5b3o4b2o3b2o2b
2o4b2o8b8o7b3o4b3o7bo7bo$4bobobo18b3o2bo6bobo2bobo4bobo5b2o4b2o5bobo4b
4o4b4o4bo5bo2bo6bo8b3o2b3o6b3o6b3o4bo11bo$35bo5bo2bo5bob2o7b2o4b3o9b4o
4b4o5bobobo4bob2obo6b5o4b5o2b4o6b4o4b3o5b3o$4bo29b2o3bobo2bobo2bobo2b
2o4bo6b3o4bobo3b2o5b3o27b5o4b5o2b4o6b4o3bo11bo$39b2o4b2o3b2o2bobo10b2o
6b2o18b3ob3o2b3o2b3o8b3o2b3o6b3o6b3o6bo7bo$4bobobo43b2obo64b8o7b3o4b3o
7bo3bo3bo$52bobo66b6o8b10o8b2obob2o$53bo69b2o11b8o12bo$123b2o13b4o13b
obo$123b2o14b2o$46b2o$4bobobo36bo2bo$18b2o5b2o3bobobobo8bo2bo$8bo9bo7b
o4bo3bo7b3o2b3o22bo$19bobobobo3bobo3bobo4b3o4b3o8b2o10b3o$4bobobo21bo
5bo5b3o4b3o7bo2bo7b3ob3o$21b3o7b5o23bobobo6bo5bo$8bo24bo8b3o4b3o5b2o3b
obo4b2o5b2o$42b3o4b3o4bo7bo3b2o7b2o$4bobobo34b3o2b3o5bobo3b2o5b2o5b2o
$45bo2bo8bobobo8bo5bo$45bo2bo9bo2bo8b3ob3o$46b2o11b2o11b3o$73bo4$90b3o
$4bo3bo60bo6bo14bo$43b2ob2o12b2o6b3o4b3o$4bo3bo11b3o7b3ob3o6b2ob2o13b
o5bobobo2bobobo11b3o$20b3obo8bo6bo9bo7b3o5b3o2bo2bo2b3o9bo3bo$4bobobo
12bobobo4b2o3b2o4b2ob3ob2o8bo8bo3bo2bo3bo9bo5bo$22bo2bo7bo7bobo3bobo6b
2o10b3o4b3o6bo2bo7bo2bo$8bo14b2o5b3ob3o19bo27b2obo7bob2o$43bo3bo6bobo
27bo2bo7bo2bo$8bo45b2o12b3o4b3o10bo5bo$45bo21bo3bo2bo3bo10bo3bo$44bob
o19b3o2bo2bo2b3o10b3o$45bo21bobobo2bobobo$68b3o4b3o13bo$34b2o4b2o27bo
6bo13b3o$34b2o4b2o2$4bobobo26bo4bo$34bobo2bobo$4bo15bo2bo5b2o2bo2bo2b
o2bo2b2o$19bob2obo4b2obo3b4o3bob2o$4bobobo11bo2bo9b3o4b3o$20bo2bo11bo
4bo$8bo10bob2obo10bo4bo$20bo2bo9b3o4b3o$4bobobo20b2obo3b4o3bob2o$29b2o
2bo2bo2bo2bo2b2o$34bobo2bobo$35bo4bo2$34b2o4b2o$34b2o4b2o2$66b2o9b2o$
66b2o2b2ob2o2b2o$4bobobo55b2obo2b2ob2o2bob2o$64b3o11b3o$4bo14b2o10b2o
5b2o3b2o7b2o16b2ob2o$18bo3b2o4b2o3bo4bobobobo7b2o2b2o12bo3bo$4bobobo10b
3obob2obob3o6bob3o6b2obo2b2o7b2ob2o5b2ob2o$23bob2obo21b3o12b2obo7bob2o
$4bo3bo$39bob3o21b2obo7bob2o$4bobobo29bobobobo6b2o12b2ob2o5b2ob2o$38b
2o3b2o6b2o17bo3bo$20b2o48b2ob2o$4bobobo11b2o42b3o11b3o$64b2obo2b2ob2o
2bob2o$8bo57b2o2b2ob2o2b2o$66b2o9b2o$8bo7bo2b3o$16b2o2bobo3b2o$8bo12b
2o3b2o$22bo$8bo$21bo$21b2o6$4bobobo$21b3o9bobo$4bo3bo12b3o7b3ob3o$21b
3o8bo3bo$4bobobo9b3o11b5o$18b3o12b3o$4bo3bo9b3o11bo3bo$32bo3bo$4bobob
o23bo3bo3$4bobobo$32b2o$4bo3bo6b3o4b3o6bobo$15b4o2b4o6b2obo$4bobobo9b
o2bo11bo2b2o$15b4o2b4o11b2o$8bo6b3o4b3o9b2o$34b2o$8bo3$bo2bobobo2$bo6b
o8bob4o$17bo3b2o$bo2bobobo13bo$19b3o$bo2bo2$bo2bobobo4$20b4o$bo2bobob
o10bo2b2o$20b4o$bo2bo3bo$17b2o8b2o$bo2bobobo8b2o8b2o2$bo2bo3bo11b4o$19b
o2b2o$bo2bobobo11b4o3$obobo2bobobo2$4bo2bo3bo16b2o$28b2o$obobo2bo3bo7b
2o3bo6b2o6b2o$19bobo3bo5b3o5b2o$4bo2bo3bo8b5o6b2o$21b3o4b2o$obobo2bob
obo16b2o4$o3bo2bo3bo2$o3bo2bo3bo2$obobo2bobobo7b2ob3o$18bo2bob2o$4bo6b
o7bobo3bo$20b3obo$4bo6bo11bo!
Code: Select all
x = 168, y = 26, rule = B34q7c/S23-r7c
133bo4bo16b2o6b2o$76b3o15bo16b3o18b3o2b3o15b3o4b3o$20b2o53bo3bo12b2ob
2o14b3o18b3o2b3o17b2o2b2o$18b2obo23bo14bo13b2o3b2o11b2ob2o13bo3bo41b2o
4b2o$19bobobo20b2o12b2obo11b2obobob2o27bo5bo14b3o6b3o10bo3bo6bo3bo$3o
13bo2bo3bo19bo2bo10bobo12b2o2bobo2b2o9bob3obo9b2obobob2o12bobob2o2b2o
bobo9bo14bo$o2bo12b3o3bo19b3o12b3o11b2o2bo3bo2b2o9bo2bobo9bo7bo11bo4b
2o2b2o4bo8bo14bo$2b2o11bo7bo17b4obo9bo15bo9bo27bo3bo15bob3o2b3obo$2bo
12b3o22bob2o3b2o8bo14bo4bo4bo27bo3bo16bobo4bobo$19bo4b3o12b2o33bob3ob
o51bo6bo$17b2obo3bo3bo12bobo5bo26b3o31b2ob2o14b3obo4bob3o$22b2o2b2o16b
o3b3o24b2ob2o29bobobobo13b2o3bo2bo3b2o$22bo2bo3bobo12bo2bobo58b4ob4o12b
o3bo4bo3bo$22bobo2bo4b2o12b3o58b2o2bobo2b2o13bobo4bobo$24bobobo5bo12b
o58bo2bo5bo2bo9b2o12b2o$23bo3bo4bo2bo74bo3bo$25bo7bo2bo73bo3bo$33bo76b
o3bo$25bo10bo$26bobo5bo73b2o5b2o$26bo2b2o3b2o73bo5bo$27bo4b2o76bo3bo$
28bo4bo74bo7bo$29bobo80bo$108b2ob3ob2o$111bobo!Continue apgsearching C1
Find stable circuitry for the c/5d
Find a small gun for the c/5d
Oscillators:
p11, p12, p14-17, p19-29, p31-43, p45+
8: CityBlocks (B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78)
This is a rule named for its robust still lives:
Code: Select all
x = 52, y = 25, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
18bobo8bobo$32bo12$17bo30bo$3bo43bo$bo35bo$2bo33bo$o22bo21bo4bo$17bob
o14bo16bo$4bo27bo17bo$o32bo$45bo$13bo32bo2$15bo!Code: Select all
x = 54, y = 112, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
9b6o$9b6o25b3o$13b2o25b3o$13b2o11bo6b2o6b2o$9b6o11b2o3bob2o2b2o$9b6o12b
o2bo2b2o2b3o$9b2o26b3o$9b2o$9b6o$9b6o4$9b6o$9b6o$13b2o12b2o9b3o$13b2o
12b2obo7b3o$9b6o11b3o10b2o$9b6o11b4o4b2o$13b2o19b3o$13b2o19b3o$9b6o$9b
6o4$9b2o2b2o$9b2o2b2o$9b2o2b2o20b3o$9b2o2b2o11b2o7b3o$9b6o11b2o8b2o$9b
6o13bo$13b2o19bobo$13b2o$13b2o$13b2o4$9b6o$9b6o$9b2o$9b2o$9b6o12bobo$
9b6o11bobobo$13b2o12bobo$13b2o$9b6o$9b6o5$9b6o$9b6o$9b2o16bo4bo$9b2o15b
2o$9b6o14b3o$9b6o14bo$9b2o2b2o$9b2o2b2o$9b6o$9b6o7$9b6o$9b6o$9b2o2b2o
21b6o4b8o$9b2o2b2o21b6o4b8o$9b6o21b5o5b7o$9b6o13b2o9bo11bo$9b2o2b2o14b
2o4b6o6b6o$9b2o2b2o13bo6b3o9b3o$9b6o11b2o7b4o8b4o$9b6o12b2o6b3o9b3o$35b
3o9b3o7$4b2o3b6o$4b2o3b6o$4b2o3b2o20bo$4b2o3b2o19b3o$4b2o3b6o15bo$4b2o
3b6o13b2o$4b2o3b2o2b2o12b2o$4b2o3b2o2b2o13bo$4b2o3b6o$4b2o3b6o7$6o3b2o
2b2o$6o3b2o2b2o$2o7b2o2b2o$2o7b2o2b2o$6o3b6o$6o3b6o13bobo$2o2b2o7b2o$
2o2b2o7b2o16bo$6o7b2o16bo$6o7b2o!Code: Select all
x = 59, y = 19, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
obo5bob2obo2bob2obo6b3o6b3o6bobo6bobo$9bob8obo7bob2o4b2obo9b2o2b2o$3o
7b3ob2ob3o11b2o2b2o8b3ob2o2b2ob3o$obo11b2o12b2obo4bob2o5bo12bo$bo11b4o
11b3ob4ob3o6b3o2b2o2b3o$bo25bo2bob4obo2bo6bo2b4o2bo$11bo6bo10b2o2b2o2b
2o11b4o$9bo3bo2bo3bo7bo4b2o4bo5b2o2bo4bo2b2o$27b3o3b2o3b3o4b3o8b3o$8b
o12bo5bo3bo4bo3bo4b3o8b3o$12b2o2b2o13bo4bo8b4obo2bob4o$10bo2bo2bo2bo10b
2o4b2o7b3obo4bob3o$11bobo2bobo12b2o2b2o8b3obob2obob3o$31b2o2b2o8b2o2b
ob2obo2b2o$31bo4bo8bo5b2o5bo$30b3o2b3o7b2o2b6o2b2o$30b3o2b3o11b6o$30b
8o9bo8bo$45bo12bo!Code: Select all
x = 24, y = 13, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78History
18.2DAD$4.A.C11.2DAC6$12B$12B$12B$5BE6B8.CAD$5.EA.C10.A3.A$6.A.2A!TODO:
Apgsearch this rule (if apgsearchable)
Find a c/2o (disproof by R2INT), c/4d and a c/5d
Find a natural occurrence of a spaceship (found by R2INT)
9: Asteroids (B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k)
NOTE: Discussion on Asteroids has been moved to a new thread. A short discription is given here, while the full description is given in the Asteroids thread.
A strange c/4 growth pattern, and a rake based on it:R2INT wrote: August 6th, 2024, 4:23 pm I decided to make my own CA with lots of spaceships:From left to right: Q (5c/42d), X (c/3d), W (c/2o), T (2c/6o), and G (c/10o)Code: Select all
x = 61, y = 6, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k 2b2o9b3o19bo12b3o7b3o$bobo9bo19bo3bo20bo$o12bobo33bo10bo$2o57bo2$5bo!
. . .
This rule is right on the edge of being explosive:I call this rule 'Asteroids' because over hundreds of thousands of generations, large soups will construct smaller ash clouds.Code: Select all
#R B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k ! #C [[ RANDWIDTH 512 RANDHEIGHT 512 RANDOMIZE ]]
Code: Select all
x = 191, y = 94, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k
18bo$18bo17bobobo$17b3o$15bobobobo14bo3bo$16bo3bo16bobo$15bob3obo16bo
$16bo3bo14b7o$18bo17bo3bo$38bo3$18bo$37bobo$18bo4$36b5o2$14b9o13b5o2$
14b9o13b5o2$14b9o13b5o2$14b9o13b5o2$14b9o13b5o2$36b5o146b3o$81bo104b2o
b2o$187b3o$81bo106bo$78b2o3b2o$78bo5bo$79bobobo$80b3o2$21bo11bo2$21bo
11bo$10bo10bobo7bobo10bo$7bo4bo7b2o2bob3obo2b2o7bo4bo32b3o$6b2o16bo5b
o16b2o$6bo4bobo7bo4b3o4bo7bobo4bo$6b2o16bo5bo16b2o32bo$7bo4bo7b2o2bob
3obo2b2o7bo4bo33bo$10bo10bobo7bobo10bo36bo$21bo11bo47bo$81bo$5bo15bo11b
o15bo31bo$5bo43bo31bo$4b3o41b3o30bo$2bobobobo37bobobobo28bo$3bo3bo39b
o3bo29bo$2bob3obo37bob3obo28bo$3bo3bo39bo3bo$5bo43bo4$5bo43bo7$obobob
obobo6bobo15bobo6bobobobobobo13bo12bo18bo$obobobobobo33bobobobobobo$o
bobobobobo33bobobobobobo26bo18bo$obobobobobo33bobobobobobo23b2o3b2o12b
2o3b2o$obobobobobo33bobobobobobo23bo5bo12bo5bo$obobobobobo33bobobobob
obo24bobobo14bobobo$obobobobobo33bobobobobobo25b3o16b3o5$81bo18bo12$71b
obobobobobobobobobo2bobobobobobobobobobo$68bo2bobobobobobobobobobo2bo
bobobobobobobobobo$71bobobobobobobobobobo2bobobobobobobobobobo!Code: Select all
x = 236, y = 510, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k
27bo46bo25bo14b2o8b2o10bobo2bo2bobo15bo7bo$25bobo44bob3o21b3obo12bobo
6bobo37bo5bo54bo7bobo$27bo43b2ob2o2b3o13b3o2b2ob2o11bobo2b2o2bobo13bo
bobo16b2o9b2o42bo6bo3bo$25bob3o50bo13bo24b4o14bobo5bobo11bobo11bobo27b
3o8bo3bo15b2o$29bo44b2o2b5o9b5o2b2o13bob2o2b2o2b2obo12bobobo16bo11bo42b
o18bo$27b2ob2obo38b4o23b4o11bobo2bo2bo2bobo11b2o3b2o58bo10bobo$20bobo
6b3obo2bob2o32bo3bo21bo3bo10bo5bo2bo5bo5b3o11b3o9b2o2bo5bo2b2o$30bo2b
o3b2o35bo3bobo2b2o5b2o2bobo3bo11bobo12bobo6bo4bobo4bo14bo7bo$19b4obo5b
2o3b2o44bo2b2o3b2o2bo20bo12bo14bo20b9o$22bobo10bo42bo6bo3bo6bo39bo11b
o15b2obob2o$22b2obo8b3o42bob2o2bo3bo2b2obo16bo2bo10bo2bo8bo2b3o2bo$24b
4o7b2o35bo7b2o11b2o7bo10bo14bo10bobobobo21bo$24b2obo7bo5bo29bo2bo4bo15b
o4bo2bo8bo16bo8b4ob4o14bo11bo$36bo4bobo36b2ob2o5b2ob2o18b2ob2o6b2ob2o
8b2o7b2o12b2o2bobobobo2b2o$24b3o8bobo3bo30bo3b3o2bo4bobo4bo2b3o3bo10b
2o2bo6bo2b2o12bobo$29bo4bob3o5bo26b2obo4bo4b2o3b2o4bo4bob2o10bo2bo6bo
2bo8b3o7b3o11bo4b2ob2o4bo$27b5obobo3bo2bo42bobobo23b2o2bo6bo2b2o8b3ob
obob3o15bo3bo3bo$8b3o14bobob2obobo7bo28bo4bo3bo4bo3bo4bo3bo4bo8bo5bo4b
o5bo34b2o3b2o$8bo17bo6b2o6bobo27b2o3bo3bo2bob5obo2bo3bo3b2o9bo14bo10b
2o3b2o17bo3bo3bo$8bobo14b2o7bo3b2o5bo32b2o4bo2bo2bo4b2o43b5o19bo5bo$25b
o9bo2bo4bobo27bo4b2o3bo7bo3b2o4bo14bobo4bobo14bo3bo20bo3bo$40bo4b2o32b
2o4b2ob2o4b2o43b2o3b2o$31b3o3bo4bo2bo32bo3bobo2bo2bobo3bo43b2ob2o$35b
2o4bo2bo2bo31b2obo9bob2o19bobo6bobo12bo5bo$32bo4bobo4bobo31bo3bo9bo3b
o22bo2bo$34bo7b3o6bo63b3o6b3o13bo3bo$38b4o8b3o61bo12bo$o39bo2bo2b2o4b
o63bobo4bobo9bo2bo7bo2bo$3bo38bo3bobo3b2o60b2o2bo4bo2b2o12bo3bo$2bo44b
o5bo58bo2bo10bo2bo7bo9bo$bo48bo3bo57b2obo10bob2o$45bo3bo2bo62b2o8b2o9b
3o7b3o$44b2o6bo59bo2bo10bo2bo$45b3o2b3o3bo60bo6bo10b3o9b3o$47b2o7bobo
57b2o6b2o11b2o7b2o$49bo5b3o59b3o2b3o$54bo2bo59bo6bo$52b3o4bobo52bo12b
o$54b2obo58bo8bo$53bo9bo55bo2bo$56bo2bo2b2o$64bo53bo4bo$56bo4bo2bo53b
o4bo$59bo58bo4bo$58b2o4bo52bo6bo$60b2ob2o53bo4bo$116b2obo2bob2o$116bo
b2o2b2obo$116bo8bo2$116bob6obo$114b14o$118b6o$117bo6bo$119bo2bo$120b2o
$119b4o$119bo2bo$112b3obo2bo2bo2bob3o$119bo2bo$112b3ob2o6b2ob3o$113bo
3bo6bo3bo$115bo10bo31$88bo3bo3bo3bo4bo6bo5bo$87bo5bo3bo3bo4bo4bo5bo$83b
o3b2o22b2o4b2o2bob2obo2b4o$62bo6bo3bob2o4bobo4bo3bo3bo3bo4bo4bobo3bob
o5b2o$63bo3bo6b2obo3bobo9bo3bo3bo3bobo13bobo6b2o$67b2o14bo3bo4b2o6bo5b
o3bobo3bobo2b2o$88bo3bo3bo14bo5bo4bo6b4o$93bo3bo3bo3bo15bo$100bo5bo5b
o3bo$111bo5bo4$60bo8bo7bo6bo$62b2o2b2o9b2o3bobo$64b2o11bo4bo2bo$62b6o
8b4o2b4o$63bo2bo9bo2bo4bo$77bobo3b2o$63bo2bo10bo6bo$62b6o$64b2o$62b2o
2b2o$60bo8bo5$114bo$62bo13bo9b2o7bob2obo3bob2obo6bo$64bo3bobo5bo8b2o9b
2o9b2o6b2o$76bo21bobo3bobo11bo$117bobo$84b5o29bobo2bo$76b3o40bo$77bo7b
3o35bo2$85bo33bobo$75b3o9$74bo11bo$78bo3bo$79b3o30bo$77b2o3b2o30bo$75b
obo5bobo27b2o3b2o$62bobo11bo7bo9bobo4bobo12bobo$62bobo11bo7bo7b2o10b2o
9bo2bo$62bobo11bo7bo6bob2obo4bob2obo$75bobo5bobo28b3o$77b2o3b2o30bo4b
o$79b3o39bo$78bo3bo37b2o$74bo11bo10$79bo3bo2$59bo3b3o3bo6bo9bo$61bobo
bobo$60b3obob3o9b7o$61bo5bo6bo3bo5bo3bo$59b2o2b3o2b2o8bo5bo$59bobobob
obobo8bo5bo$59b2o2b3o2b2o8bo5bo$61bo5bo6bo3bo5bo3bo$60b3obob3o9b7o$61b
obobobo$59bo3b3o3bo6bo9bo2$79bo3bo5$88bo2$88bo3$84bobo3bobo$110b3o9bo
5bobo$61bo8bobo11bobo3bobo30bobob2obo$63bo6bobo37b3o11b2o2bobo11bo$70b
obo6bobo13bobo13bo11b2o13bo2bo$62bo7bobo35bo17bo10bobo$64bo5bobo11bob
o3bobo17b2o11bo14bobo$104bobo2b2o11b3o14bobo$84bobo3bobo11bob2obo30bo
$104bobo15b3o11bo2$88bo2$88bo6$62bobo$62bobo$62bobo$62bobo$62bobo$62b
obo$62bobo5$63bo2$63bo2$63bo2$63bo2$63bo2$63bo10$78bobo2bobo$80bo2bo$
78bobo2bobo$63bo2$63bo$72bobo14bobo$63bo$72b3o14b3o$63bo2$63bo8b3o14b
3o2$63bo8bobo14bobo2$63bo2$78bobo2bobo$80bo2bo$78bobo2bobo10$71bo4$73b
o$68bo3b3o$67b3o3bo$68bo$63bo15bo$74bo$69bo3b3o$68b3o3bo$69bo4$71bo11$
63bo2$63bo2$63bo2$63bo2$63bo2$63bo2$63bo2$63bo5$62bobo$62bobo$62bobo$
62bobo$62bobo$62bobo$62bobo$62bobo$62bobo$62bobo$62bobo$62bobo$62bobo
$62bobo$62bobo3$144bo23bo$122b3o21bo19bo$113bo19bo11b2o19b2o$88bo11bo
16bo4b3o4bo$65bo28bo20bo7bo7bo16bo15bo$117b2o9b2o$64b3o18bo7b3o7bo10b
ob2o11b2obo19bo7bo$61bob5obo20bob5obo17bo13bo20bo9bo$60b4o3b4o18b4o3b
4o19bo7bo22bo11bo$61bo3bo3bo20bo3bo3bo22bo3bo27bo5bo$60b2o7b2o18b2o7b
2o20b2o3b2o$59b2o9b2o16b2o9b2o11bobo17bobo$57bob2obo5bob2obo12bob2obo
5bob2obo9bob2o15b2obo$59b2o9b2o16b2o9b2o11bobo17bobo39bobobobobobobob
obobobo$60b2o7b2o18b2o7b2o20b2o3b2o$61bo3bo3bo20bo3bo3bo22bo3bo27bo5b
o$60b4o3b4o18b4o3b4o19bo7bo22bo11bo$61bob5obo20bob5obo17bo13bo20bo9bo
$64b3o18bo7b3o7bo10bob2o11b2obo19bo7bo$117b2o9b2o$65bo28bo20bo7bo7bo16b
o15bo$88bo11bo16bo4b3o4bo$113bo19bo11b2o19b2o$122b3o21bo19bo$144bo23b
o10$97bo$65bobo3bobo$97bo2$62bo13bo20bo2$97bo$59bo7bo3bo7bo$66b2obob2o
24bo$59bo5b3o3b3o5bo$97bo$66bo5bo$97bo$59bo5b3o3b3o5bo$66b2obob2o24bo
$59bo7bo3bo7bo$97bo2$62bo13bo20bo2$97bo$65bobo3bobo$97bo2$97bo2$97bo8$
60bo4bo$59bobo2bobo$60bo4bo$60b2o2b2o$59b2o4b2o21$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101bobo$101b
obo$101bobo$101bobo$101bobo$101bobo!10. GalaxyTrees (B2cin3aciy4enrw5jnq6i7/S1e2-an3-ajqy4ijknqy5-aceq6n7)
A rule rich in small still lives and oscillators:
Code: Select all
#R B2cin3aciy4enrw5jnq6i7/S1e2-an3-ajqy4ijknqy5-aceq6n7
!
# [[ RANDOMIZE ]]Code: Select all
x = 92, y = 117, rule = B2cin3aciy4enrw5jnq6i7/S1e2-an3-ajqy4ijknqy5-aceq6n7
4bo54bo7b2o10bo$4bo3b2o3b2o4b2obo2b2o4b2o6b2o26b2o9bo6b2o2b2o$8bobo2b
obo3bobo5bo5bo4bo8b4o5b4o5b2o2b2o8bo4bo6bo$2bo6bo4bo5bo16bobo7b4o5b4o
5b2o2b2o5bobo6b2o2b2o$2bo5bo6bo5bo4b2o5b2o2b2obo26b2o6bobo$56bo2bo7b2o
2$3bo$2bobo9bo$2bobo7b2obo$bo3bo7b2obo$2bobo7bo2b2o$3bo6bo2b2o$10bo$3b
o$26b2o11b3o$25bo7bo6bo14bo2bo29bo$8bo17bo6bo4bo16bo10bob2o18bo$2b3o3b
o2bo3bo7bo2bo11b2o18bo$3bo7bo3b2o4b3o9bo4bo19bo5bo21bo$3bo4b2o5bo7bo62b
3o$9bo7b2o11b2o32bo21bo$9bo54bo$88bo$88bo$2bo$bobo$b3o$bobo$2bo3$17bo
$2bo4bo2bo7bo$bo5bobo7bobo$obo5bobo5bobobo$b3o5b3o4bob2o$bo7bo7bo3$2b
o$obobo$obobo$2bo$2bo41$33bo$33bo$31b5o$16b2o13b2ob2o$29b3o3b3o$4bo16b
o9b2ob2o$4bo16bo9b5obo$2b2ob2o12b2ob2o9bo$4bo16bo11bo$4bo16bo$38bo$38b
o$36b2ob2o$38bo$38bo11$4bo$3b3o2$3bobo2$3b3o$4bo!Code: Select all
x = 213, y = 143, rule = B2cin3aciy4enrw5jnq6i7/S1e2-an3-ajqy4ijknqy5-aceq6n7
116bo$115b3o14bo17bo55bo$116bo15bo16bobo53bobo$115bobo14bo15bo3bo51b2o
b2o$119bo11b3o13b3ob3o20bo4bo22b3obob3o$117bo14bo13bob2ob2obo18b3o2b3o
24b3o$115b4o13bo13b2ob3ob2o17bo8bo20bob5obo$116b3o27bo7bo19bob2obo23b
2obob2o$115bo33b3o20bob2o2b2obo21bobobobo$115bo32b2ob2o20bo6bo21bo2bo
bo2bo$147bo2bo2bo20bo4bo24bobobo$145bo2bobobo2bo45bo9bo$145bob7obo45b
3ob3ob3o$146b2o5b2o46bo9bo$145bobob3obobo47bob3obo$148bo3bo53bo$144b3o
3bo3b3o$147bob3obo48b2obobob2o$145bo2bo3bo2bo$149bobo52bo3bo$145bo4bo
4bo49bobo$150bo$142b4o2b2ob2o2b4o$143b3o2bo3bo2b3o48bo$149bobo53b3o$150b
o55bo$148b2ob2o50bobobobo$149b3o54bo$147bobobobo50b2ob2o$149b3o49b3o2b
o2b3o$150bo$149b3o49b3o5b3o$148bo3bo53bo$148bo3bo49b2ob3ob2o$149bobo50b
o2bobo2bo$203bob3obo$150bo55bo$203bo2bo2bo$148b2ob2o51b2ob2o$149bobo53b
obo$204bo3bo$146b3obob3o49b5o$203b2o3b2o$146bo2b3o2bo51bo$143b3obo2bo
2bob3o45bob3obo$144bo11bo45bo7bo$146b2ob3ob2o46bobo2bo2bobo$146bo7bo46b
obobobobobo$200b3o7b3o$150bo55bo$205b3o$206bo$205bobo$202bo2bobo2bo3$
206bo$204b2ob2o3$202bo2b3o2bo$206bo$206bo$206bo$205b3o2$204bobobo$202b
o2bobo2bo$202b9o$202bo2b3o2bo$204b5o$206bo$205b3o$203bo2bo2bo$201bobo
2bo2bobo$202b2obobob2o$200bo2bob3obo2bo$202bo7bo$202bo2bobo2bo$202b9o
$205bobo$204bobobo2$206bo$206bo$206bo3$206bo$201bo3bobo3bo$200b3o2b3o
2b3o$204b5o$204bobobo$204b2ob2o$91b3o111b3o$92bo113bo$2bo4bo38bo4bo15b
o4bo18bobo$b3o2b3o14bo4bo17bo4bo15bo4bo19bo$o8bo13bo4bo16b3o2b3o13b3o
2b3o17bobo19bo4bo$2bob2obo14b3o2b3o15bo2b2o2bo13bo2b2o2bo18bo20bo4bo19b
o4bo$ob2o2b2obo12bo2b2o2bo13b2obob2obob2o9b2obob2obob2o16bo19b3o2b3o18b
o4bo$bo6bo11b2obob2obob2o10bo12bo7bo12bo15bo19bo2b2o2bo17b3o2b3o$b2o4b
2o10bo12bo77b2obob2obob2o15bo2b2o2bo$2o6b2o35b2o4b2o13b2o4b2o35bo12bo
12b2obob2obob2o$2bo4bo14b2o4b2o15bo6bo13bo6bo14b9o37bo12bo$3bo2bo15bo
6bo57bo2bobobo2bo14b2o4b2o$3bo2bo39bo4bo15bo4bo14bo3b3o3bo14bo6bo17b2o
4b2o$4b2o17bo4bo16b3o2b3o13b3o2b3o13b2o2b3o2b2o39bo6bo$2b6o14b3o2b3o15b
3o2b3o13b3o2b3o13bo4bo4bo15bo4bo$3b4o15b3o2b3o60b2ob2o17b3o2b3o18bo4b
o$90bo3bo17b3o2b3o17b3o2b3o$89bob3obo41b3o2b3o$46bo4bo15bo4bo15bo3bo3b
o$23bo4bo16b3o2b3o13b3o2b3o17bobo$22b3o2b3o16b6o15b6o16bobobobo17bo4b
o$23b6o16bobo2bobo13bobo2bobo14bo2bobo2bo15b3o2b3o18bo4bo$22bobo2bobo
16bo4bo15bo4bo14b3ob3ob3o15b6o18b3o2b3o$23bo4bo15b3o4b3o11b3o4b3o16bo
bo18bobo2bobo18b6o$21b3o4b3o14bobo2bobo13bobo2bobo14b2o5b2o16bo4bo18b
obo2bobo$22bobo2bobo13bo10bo9bo10bo12bob2ob2obo14b3o4b3o17bo4bo$20bo10b
o13bob4obo13bob4obo17bobo18bobo2bobo16b3o4b3o$22bob4obo15bob4obo13bob
4obo16bobobo15bo10bo15bobo2bobo$22bob4obo16b6o15b6o16bo2bo2bo16bob4ob
o15bo10bo$23b6o17bo4bo15bo4bo39bob4obo17bob4obo$23bo4bo19b2o19b2o42b6o
18bob4obo$25b2o19b6o15b6o40bo4bo19b6o$23b6o17b6o15b6o18bobo21b2o21bo4b
o$23b6o16bob4obo13bob4obo14bobo3bobo16b6o21b2o$22bob4obo14bo2bo2bo2bo
11bo2bo2bo2bo12bobo5bobo15b6o19b6o$21bo2bo2bo2bo14bo6bo13bo6bo13bobob
3obobo14bob4obo18b6o$22bo6bo14bo8bo11bo8bo11b4o5b4o12bo2bo2bo2bo16bob
4obo$21bo8bo13bobob2obobo11bobob2obobo14b2obob2o16bo6bo16bo2bo2bo2bo$
21bo8bo17b2o19b2o21bo18bo8bo16bo6bo$46b2o2b2o15b2o2b2o18bobo17bobo4bo
bo15bo8bo$45bob4obo13bob4obo16b2ob2o41bo8bo$47b4o17b4o17b3ob3o17bo4bo
19bo4bo$88bobobobobo18b2o21bo4bo$92bo22b2o20b3o2b3o$46bob2obo40bo21bo
2bo19bo2b2o2bo$45bo6bo38bobo20b4o17b2obob2obob2o$46bo4bo61bo4bo$45bo6b
o61b4o$45bo6bo61bo2bo!Code: Select all
x = 11, y = 23, rule = B2cin3aciy4enrw5jnq6i7/S1e2-an3-ajqy4ijknqy5-aceq6n7
6bo2$5bobo2$5b3o$6bo6$6bo2$5bobo2$5b3o$6bo4$2o7bo$7b2obo$10bo!
# [[ RLE Tree bo2$obo2$3o$bo! PASTET EVERY 33 PASTE Tree 5 0 ]]Goals:
Missing oscillator periods:
7-10, 12-13, 15+
Unknown spaceship speeds:
c/2, c/4, c/5, c/6 (found by Banananananan, c/5 variants found by CARuler)
2c/5, c/7, 2c/7, 3c/7, c/4d, c/5d, c/6d, c/7d, (2,1)c/6, (2,1)c/7
c/3d, (2,1)c/5
Apgsearch this rule in the following symmetries:
C1 (100K, 1M, 10M)
D8_4 (100K, 1M)
Missing catalysts:
Phase-changing and phase-preserving reflector, and a spitter
Misc:
Find an overunity reaction
Find a gun (splitter-based, engine-based, overunity-based)
INT Generations Rules
6: FireSparks (1c2-in3jnqry4jyz5e/2ek3in4kt/4)
It is explosive, but otherwise abundant in small still lives and oscillators:
Code: Select all
x = 64, y = 64, rule = 1c2-in3jnqry4jyz5e/2ek3in4kt/4
A.2A.A2.2A.A2.3A.A2.A.5A.A2.A.A4.A2.A.3A2.2A2.2A.A4.3A$2.3A2.A.5A3.3A
.2A.3A3.A3.5A2.A2.3A4.2A.3A.3A.A$7A.2A.A2.A2.2A.2A.3A3.A5.3A.A4.5A.A.
3A.A2.3A$.2A.A.A.6A3.A.2A.3A.2A2.A3.A3.4A6.A.A.A.2A3.2A.A$A.4A.A.4A2.
5A.4A2.A.2A2.4A.A6.A.3A.2A.2A.A4.A$.2A.A.A.3A3.A2.A.2A3.A.A.4A.A.A5.2A
3.A4.A2.A2.2A2.3A$3.A3.A.2A3.2A.2A3.A2.A4.A2.A2.3A.2A3.A.4A.2A.A.A4.2A
$2A.5A3.2A.3A.A.2A6.2A.A.2A4.A.2A.A2.3A.A.A.A.2A$.2A3.A.3A2.A.A.A.4A2.
3A2.2A.2A2.4A2.4A.A2.A.A.A.2A3.2A$4.2A.3A5.A2.3A7.2A2.2A.A.A2.A.A3.A.
2A.3A.5A$2.A.A.A.3A2.3A3.4A4.7A.2A2.A3.2A.4A.A.2A4.A.A.A$.2A4.4A.A4.4A
.2A.2A4.A3.A.A.A.A.A.A.A.4A3.A2.3A$2A.5A2.3A2.A.A.A.2A3.A.2A.2A.2A2.3A
2.2A.A3.A.A2.A6.A$.A.4A.A4.3A.2A.A.A2.A6.3A4.A2.3A4.5A2.A2.A3.A$.A2.2A
.4A.6A2.3A.2A.A.3A.A2.A2.A.A.2A.A.8A3.2A2.A$.3A.A2.2A.2A3.A.5A.4A3.5A
.A3.A2.A.A.A4.2A.A2.A.2A$.A2.A.A.3A3.4A.2A.A4.3A.A.A.A4.3A.2A2.2A5.6A
2.A$.A2.A2.A.2A2.A2.A.A2.2A2.A.A2.2A4.4A3.A.2A2.3A.A3.A.A2.A$.2A.4A2.
A2.A3.A2.A.A.A2.3A.3A.3A.4A.A2.A.9A2.A.2A$5A2.2A4.A.A2.3A.2A.A2.A3.2A
8.A.4A2.6A2.A.3A$A2.4A3.A4.A2.A3.A.A.A.A4.A2.A.5A.3A.A2.A4.2A.3A.A$A.
2A2.A3.A3.2A.A.A.A7.A.7A2.2A.2A.A.2A2.12A$3A4.3A.A2.3A.A.2A.2A.3A3.3A
.A4.A.A8.5A.A.A$.A2.A6.2A.2A.A5.2A.2A2.3A5.4A.A2.3A3.A2.A.3A2.2A$A2.3A
.A.A.A.2A2.A.2A.A.A.A2.A4.A3.2A2.A2.7A3.2A4.2A$2A3.3A2.A6.A.5A.2A.2A2.
2A.A.2A.2A3.A2.A2.5A3.2A.A$A3.A.3A3.A.3A2.A4.3A3.2A.A.3A2.A.3A2.2A2.A
.A2.A.2A3.A$A.A.3A4.A.A.A2.A.A5.5A2.A.A3.2A5.A.2A.5A.5A$.A3.3A.A2.3A4.
A.A.3A.3A.2A4.A.A.A4.2A.4A5.A3.2A$A3.A.3A3.6A.A.3A5.A.A.A.A.A.2A.5A.2A
4.3A3.A.A$.3A2.2A2.A.4A.2A.A.4A.2A3.2A.3A3.A.2A4.A.A3.4A.A.2A$A2.A.2A
.A2.A5.A.A.A.3A2.A.4A.2A4.3A.2A.A.3A2.A2.A4.A$A.2A.2A.A4.4A.A.A2.A.A7.
A.2A2.2A.5A.4A.A.2A.4A.A$.4A7.A.A.A.A3.A2.2A2.3A.5A2.A2.7A.A.A.A.2A.4A
$.8A.A4.7A2.5A4.A2.A.A2.2A.A2.A.A3.2A.7A$3.4A3.4A.A2.5A.A.4A3.A4.A2.2A
.3A.3A3.2A.2A.A2.A$.3A.3A.7A3.2A.4A.2A4.6A5.2A.2A.A.2A4.A$3.2A.A.2A.A
3.2A.3A.4A2.A.A.A2.A2.2A.A6.2A2.4A3.4A$.A.5A.2A2.A2.3A6.3A2.5A2.A.2A2.
A.A.3A3.2A6.A.A$3A.A.2A4.A4.3A.2A.3A2.A3.A.A.A3.2A.2A.A2.A.2A.A2.A.2A
.A$.2A8.A.A.A.A2.A.A2.2A.A.A7.2A.2A.A2.2A.2A5.7A$2.5A5.A4.4A.A2.2A2.2A
.A.A.A3.3A.A.A2.A.A.4A4.A.A$2A.2A.A.2A2.A3.A.2A.A.A5.4A2.3A.A.2A3.A2.
A.2A4.2A3.2A$A.A2.A3.2A.A3.4A3.3A.A.A2.5A.3A3.A.A3.2A.4A.A.3A$.4A4.A6.
2A.6A.2A2.A.2A.A.3A2.A.A.6A2.A.2A4.2A$.4A2.4A.7A2.3A.3A.A2.A5.A.A.A2.
A2.A2.3A.A2.A.2A$3.A2.3A2.A.A4.2A.A.A4.2A3.A4.A2.A.2A2.2A.3A.A.2A.A$A
.3A.2A.A2.2A.2A4.A4.A2.A.5A.4A2.6A5.A2.4A2.A$5A2.5A3.A.2A2.A3.A2.A.6A
2.3A3.3A6.5A2.4A$3A.2A.A.3A4.2A3.2A2.2A.2A.2A2.2A3.A2.2A.3A2.A2.A.2A.
4A$2A2.A.A.A2.A3.A.2A.A.A2.A.A.5A4.A7.2A.5A3.3A2.A$A6.3A3.2A3.2A.2A8.
A.A2.A5.2A2.A5.4A.A2.2A$2A.A7.A.A.A.2A.A.2A.A5.A.2A.A.A3.5A3.2A3.A.3A
$.A2.A7.2A7.2A.A2.3A2.4A2.A.3A.A.2A.2A4.2A2.A.A$.A.2A.3A.5A.A3.A.A2.A
2.A.A7.A.A3.A.8A4.A.A.2A$.A3.A3.2A.4A.A7.2A.A.A.3A.A.A.2A.A2.3A.2A3.A
3.A3.A$A.2A3.8A4.4A.A2.A2.2A5.2A2.2A.A.A2.2A.A.2A3.A2.A$A.A.2A.3A3.A2.
A.A2.A.A.A.A3.A4.A.A.2A.3A2.3A.A3.2A.A$5A3.2A.4A9.6A2.A.2A.A.A2.2A2.7A
.3A.2A2.A$.2A.3A2.A2.4A.A.A2.A.4A2.A4.A.3A3.4A5.A2.4A.2A$A.A.A.A3.4A.
4A.A2.2A2.3A3.A2.A2.2A2.8A.3A5.2A.A$A4.2A.A2.A2.2A3.A.A3.A2.2A.3A.3A.
A.A4.2A.3A.A5.5A$3A.2A2.A.2A.3A.A2.A3.4A.A.3A.3A6.3A.4A2.2A.A.2A.2A$A
2.3A.5A.A.3A.2A.2A2.3A.A4.A2.A.A4.A2.5A.A.2A3.A!Code: Select all
x = 4, y = 3, rule = 1c2-in3jnqry4jyz5e/2ek3in4kt/4
.2A$AB.A$.2AC!Find an interesting variation of this rule
7: Radiation (12aei3ackn4ac5iq6n8/2cek3aij4az6n8/8)
Another, less explosive rule named for its collection of spaceships:
Code: Select all
x = 27, y = 11, rule = 12aei3ackn4ac5iq6n8/2cek3aij4az6n8/8
20.G$23.2A$22.CDBA$2.2A7.A10.GFCB$.CDBA5.BCA10.FEBA$FGEDCA3.FGEA11.FD
B$2.GFB6.D11.FEBA$3.E18.GFCB$22.CDBA$23.2A$20.G!Code: Select all
x = 13, y = 7, rule = 12aei3ackn4ac5iq6n8/2cek3aij4az6n8/8
5.ABA$3.2ABDB2A$.2A2CDFD2C2A$.AC2EG.G2ECA$ACDF5.FDCA$.BFG5.GFB$2.E7.E!Code: Select all
x = 7, y = 7, rule = 12aei3ackn4ac5iq6n8/2cek3aij4az6n8/8
2.A$.2ABA$AC2DBA$GB2FDBA$3.GEDA$4.GC$4.F!Code: Select all
x = 16, y = 14, rule = 12aei3ackn4ac5iq6n8/2cek3aij4az6n8/8
14.A$13.BCA$12.FGEA$14.D6$2.ABA$.DECBA$G.FEDA$3.GC$3.F!Find an oscillator