R2INT's Rule Collection

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R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

R2INT's Rule Collection

Post by R2INT »

EDIT 2025-3-7 Added a summary of my rule collection to User:R2INT! Edits to include new discoveries are welcome.

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!
The 'flakes' part comes from a snowflake-like pattern with a 6-cell predecessor (and multiple larger ones):

Code: Select all

x = 4, y = 4, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
2bo$bobo$b2o$o!
Some small still lives in this rule:

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!
Oscillator collection:

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!
Spaceship collection (c/2o, 2c/5o, c/3o, c/4o, c/5o, c/6o):

Code: Select all

x = 214, y = 46, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
2bo24bo25bo29bo$bob2obo18b4o23bob2o26bob2o30bo13b2o2b2o12b4o14bo18bo18b
o4bo$obo2b3o16bobobob2o23bo28b2o29bobo11bobo2bobo10bo4bo11b2ob2o16bo19b
o2bo$bo3b2o2bo14bo2b2o22bob2obo24bobo2bo41bo2b4o2bo9b6o11b5o15bobo16b
o2b2o2bo$bo2b4obo12b2o5b2o2bo17b3ob2o25b3o2bo39b2o2bo2bo2b2o9b4o11bob
3obo13bobobo15b8o$2b3o2b2ob2o11b3o4b3o20b3obo24b3obobo40bo2b2o2bo12b2o
11b4ob4o11bob3obo12b2ob6ob2o$b4o5b4o8bo6b5o14b2o6bobo26bobo44b2o27bob
obobobobo11b5o14b10o$2bob2ob2obo2bo8bobo4bo2bo13bo2bo4bo29bobob2o39bo
6bo28bobo13bob5obo15b4o$5bob4o3b2o6bo2b2ob2o2b4o9bo2b3o2bo2b6o23bo2bo
b3o36b2o4b2o24bobo5bobo10bo2bo2bo12b3ob4ob3o$3b2o3b2o5bo7bobo2bob5o11b
obobobobobo2b3obo24bobo38b2o4b2o25bo7bo9b3obobob3o10b2ob6ob2o$5b4ob2o
12bob2ob5o2b2o8b2ob2o6bob6o22bobobo2bo35bo4bo28b2ob2o12bo7bo16b2o$5b2o
3b2o13b9ob2o11b2obob2obob6o24b2ob2o70b2o3b2o12bo2bo2bo14bo6bo$6bo21b7o
15bo2bobob3o2b5o24bobo4bo31bo4bo25bo2bobobo2bo10b7o14bo6bo$6b2o17bob3o
b5o3bo11bobo2b4o2b4o27bo3bo64bo2bobo2bo9bob2o3b2obo13bo4bo$8bo18bob6o
bobo14b13o28b3obob2o27b3o2b3o23b3o3bo3b3o9b2o3b2o$8b2o19bo23b4o2b7o2b
o25bob4obo27b8o23bo2bob3obo2bo8bobobobobo14bob2obo$31bob3o17b4o2b8o32b
obo24b3ob6ob3o21bobob3obobo12bobo17bo4bo$33bo21b13obo24bo3bo2bo24bob2o
b4ob2obo23bo5bo12b7o14b2ob2ob2o$34bo19b15o28b3o2bo22b3o2b6o2b3o23bo3b
o12b2obobob2o14bo4bo$34bo20bob16o21bo2bob2ob2obo20b2o2b6o2b2o23bob3ob
o10b2obo3bob2o11b2ob4ob2o$57b11obo27bob4o2bo19bob12obo21bobobobobo11b
2o3b2o15b6o$57bo3b8o2bo24b2obob8o18bob8obo22b2obobobob2o9b2o5b2o13b8o
$62b7o2bob3o23b8obo18bob8obo24bo2bo2bo15bo18b6o$60bo2b2ob3o2bo2bob2o21b
o2b6obo18b10o26b5o15bobo16b2ob2ob2o$62bob2o4b2obob2o22b9o2bo18b8o25bo
bo3bobo11bo2bo2bo13bobob2obobo$64bo4b2o2b4o24b8o19b2ob4ob2o23bob2o3b2o
bo8bo2bobobo2bo12b8o$64bob4ob5o24b7o2bo19bob4obo25b2ob3ob2o10b2o5b2o12b
ob6obo$64bo6b3o27b2ob3o2bo20bob2obo26bobobobobo11bo5bo12b2ob6ob2o$67b
ob4o30bo2bo23b6o25bobo2bo2bobo8b2ob2ob2ob2o9bo2b8o2bo$67b2ob2o2bo32bo
22b6o25b2obobobob2o7bobo3bo3bobo8bo2b8o2bo$67bob3o59b4o25bo3bobobo3bo
7bo3bobo3bo12b8o$68b3o61b2o27bo2bobobo2bo8bobobobobobo11bob6obo$68bo94b
o2bo2bo10b2o3bo3b2o13b6o$163bo5bo9bo4bobo4bo10b10o$161b3o5b3o10b2obob
2o13b10o$184bobo14b2ob6ob2o$162b3o3b3o13bobo15b10o$161bob2o3b2obo30bo
b6obo$160bo11bo28b2ob6ob2o$161bobo2bo2bobo30bob6obo$161b4o3b4o29b2ob6o
b2o$164b5o34b8o$165bobo36b6o$165bobo36b6o$203bob4obo$205bo2bo!
Goals:
Spaceships:
c/3d, c/4d, c/5d, c/6d (Ninedlingss), 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!
This evolutionary sequence releases a large spark that can interact with lots of other patterns.

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!
Some spaceships:

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!
The dot-pulling c/8 variant was found by me, and the dot-pulling 2c/40 variant was found by b-engine.

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!
This rule is explosive on odd bilateral symmetries, making those symmetries unapgsearchable.

Goals:
Spaceships
c/4o, c/5o, 2c/5o, c/4d, c/5d (LLSSS/rlifesrc required)

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)
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

. . .
This is the 1-transition away rule. The original (B012aen3-kr4enz5acny6-k7e/S2-ck3-in4-cirwy5-jy6in) is explosive.

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!
A newly-discovered puffer and ship-lengthener:

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!
Goals:
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!
Oscillator collection (p2, p4, p5, p6, p7, p9, p20, p22, p44):

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!
Spaceships (c/44d SMOS, c/2o, c/2o with various tagalongs, (2,1)c/5, c/3o, c/5o)

Code: Select all

x = 208, y = 50, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
8bo16bo33b2o23b2o11b4o14b3o3b2o5b2o6b2o9bo5bo9b3o6b3o7bo5bo9b2o3b2o$6b
2o13b4o32b3obo22bo10b3o4bo12bobo2bo2bo3bo2bo4bo2bo7bobo3bobo8bo10bo6b
o2bobo2bo6b2ob2ob2ob2o$6bo14bobobo32bob6o18b2o8bo2bobo2bo32bo10bob2ob
2obo7b2o10b2o5b4ob4o5b2obo5bob2o$6b2o12b2obob2o35b2o31b4ob2o27bo7b2o9b
o3bo9bo12bo6b3ob3o6bobobo3bobobo$4bo3bo12bobo30bo8bo3bo26b3o51bo3bo11b
2o6b2o6b2ob2ob2ob2o5b5ob5o$5bo2bo14b4ob2obo22b2o7bo15b3o15bo4bo43bo7b
o9b4o2b4o8b2o3b2o9bo5bo$b3o5bob2o12b2o3b3o20b2o8b2ob2o11bobo12bob5obo
41bo4bobo4bo6b2obo4bob2o24bo3bo$bobo4b3ob3o11b2o2bo2b3o17bobo10bo29b2o
b2ob2o39bobo9bobo4b3o8b3o21b3o3b3o$o3b2obobo3bo16bobob2o18b2o8bob3o28b
ob3o41bobob2o3b2obobo4bob4o2b4obo22bo5bo$6b3o4b2o11bobobob2obo19b2o44b
obobo39bobob3obobo9bobo2bobo26bo3bo$7bo7bo9b3o2b2o2bo2bo17b5o8b4o30bo
bo43b2ob2o13bob2obo27bo3bo$6bo19bobo26bo3bobo4b2o2b2o31b2o93b3ob3o$6b
2o7bo21b2o16bo9bo5b2obo30bo37bo4bo3bo4bo40b2o3b2o$7b3o17b4obo5bo2b2o16b
3o2bobo3bobob2o28bo37bobo3bobobo3bobo40bobobo$7bobo17bo4bo6bo17bobobo
2bo5bo3bo67bo3bob2ob2obo3bo37b2obo3bob2o$10bobo15bobo9bob2o17bobo7bo32b
2obo36b2o3bobo3b2o39bo2b5o2bo$30b3o9bo20bo41bo38b6ob6o39bo4bo4bo$32b2o
7bobo19b2ob2o37bo2bo37bo2bobo2bo42bo2bobo2bo$35b2o5b2o19b3o2bo35bo39b
ob2o5b2obo39bo9bo$33bo2bo5b3o20b2o38b3o36bobo7bobo43b3o$34bo4bobobo59b
o91bob3o3b3obo$35bo7bobo19b3o76bobo7bobo38b3ob2ob2ob3o$35bob4o5bo19bo
37b8o32bob2o5b2obo40b3o3b3o$39bobo4b3o62bo34b2o5b2o44bo3bo$40b2ob2ob2o
57bobob3o33b2o7b2o42bobobobo$105b2obobo34bobo5bobo44bobo$43b2o61bo2bo
35bobo5bobo44bobo$43bo64b2o33b4obo3bob4o38b2ob5ob2o$111bo31bob2obo3bo
b2obo37bo2bo5bo2bo$111bo31bob4o3b4obo42b3o$112bo32bobo5bobo40bobobobo
bobo$111b2o33bob2ob2obo42bobo3bobo$145bobo2bo2bobo41bo7bo$146b4ob4o42b
o7bo$143b3o9b3o39bobo3bobo$143bobo9bobo39bob2ob2obo$149b3o$148bo3bo46b
o3bo$149b3o46b3ob3o$147bobobobo$147b2o3b2o44b3ob3o$147bobobobo43b2o5b
2o$144bo11bo40bo2b3o2bo$144b4ob3ob4o$144bobo7bobo38b2o9b2o$144b2o9b2o
39bo2b2ob2o2bo$144bobo7bobo42bo3bo$145bo9bo43bo3bo$144b2o9b2o42b2ob2o
$201bo!
Goals:

Apgsearch this rule

Spaceships:
c/4o, 2c/5o, c/3d, c/4d, c/5d (Ninedlingss), (2,1)c/5 (LuveelVoom), c/6o

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!
Oscillator collection with periods 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 30, and 44:

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!
Spaceships: c/42d, c/6d, c/5d, c/4d, c/2o, 2c/5o, c/3o, c/4o, c/5o, 5c/21o

Code: Select all

x = 190, y = 26, rule = B34q7c/S23-r7c
133bo4bo13bo5b2o5bo11b2o6b2o$76b3o15bo16b3o18b3o2b3o11bobo3b4o3bobo10b
3o4b3o$20b2o53bo3bo12b2ob2o14b3o18b3o2b3o11b2o3b6o3b2o12b2o2b2o$18b2o
bo23bo14bo13b2o3b2o11b2ob2o13bo3bo36b3obobo2bobob3o11b2o4b2o$19bobobo
20b2o12b2obo11b2obobob2o27bo5bo14b3o6b3o10bob4o2b4obo8bo3bo6bo3bo$3o13b
o2bo3bo19bo2bo10bobo12b2o2bobo2b2o9bob3obo9b2obobob2o12bobob2o2b2obob
o8bo14bo7bo14bo$o2bo12b3o3bo19b3o12b3o11b2o2bo3bo2b2o9bo2bobo9bo7bo11b
o4b2o2b2o4bo7bo14bo7bo14bo$2b2o11bo7bo17b4obo9bo15bo9bo27bo3bo15bob3o
2b3obo9bobobobo2bobobobo$2bo12b3o22bob2o3b2o8bo14bo4bo4bo27bo3bo16bob
o4bobo15b6o$19bo4b3o12b2o33bob3obo51bo6bo17bo2bo$17b2obo3bo3bo12bobo5b
o26b3o31b2ob2o14b3obo4bob3o13bob2obo$22b2o2b2o16bo3b3o24b2ob2o29bobob
obo13b2o3bo2bo3b2o9bo2bobo2bobo2bo$22bo2bo3bobo12bo2bobo58b4ob4o12bo3b
o4bo3bo8b5obo2bob5o$22bobo2bo4b2o12b3o58b2o2bobo2b2o13bobo4bobo9bo3bo
8bo3bo$24bobobo5bo12bo58bo2bo5bo2bo9b2o12b2o7bo2bobo4bobo2bo$23bo3bo4b
o2bo74bo3bo42bo2bo$25bo7bo2bo73bo3bo40bo2b2o2bo$33bo76bo3bo43b2o$25bo
10bo119bob2obo$26bobo5bo73b2o5b2o38bobo2bobo$26bo2b2o3b2o73bo5bo39bo6b
o$27bo4b2o76bo3bo41b6o$28bo4bo74bo7bo38b2ob2ob2o$29bobo80bo$108b2ob3o
b2o$111bobo!
Goals:
Continue apgsearching C1
Find stable circuitry for the c/5d
Find a small gun for the c/5d

c/2, c/3, c/4, c/5 (Bananananan)

Oscillators:
p11, p12, p14-17, p19-29, p31-43, p45+

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!
A tiny p10 gun:

Code: Select all

x = 4, y = 3, rule = 1c2-in3jnqry4jyz5e/2ek3in4kt/4
.2A$AB.A$.2AC!
Goals:
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!
Wavestrecher:

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!
A rake:

Code: Select all

x = 7, y = 7, rule = 12aei3ackn4ac5iq6n8/2cek3aij4az6n8/8
2.A$.2ABA$AC2DBA$GB2FDBA$3.GEDA$4.GC$4.F!
Sometimes, the larger ships hunt down the smaller ships:

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!
Goals:
Find an oscillator

My Other Rules
To avoid overloading this post and making it hard to maintain, I have moved the rule descriptions to their associated post. Links to them are given below.

8: CityBlocks (B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78)
9: Asteroids (B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k)
10-13: DiamondShip, SeaCaves, PineConeSeeds, and Trilobites (B2n3-qr4cejntwz5cjkry6ei8/S02-cn3-aek4ijnq5cir6an7c, B34j5r/S2aen3-a4-nz5qy6n, B2ac3cnq4cei5er6k7e/S02c3ceiy4cqy5acy6ci78, and B2-a5/S134ac5k8)
14-16: GalaxyTrees, Lasers, Dandelion (B2cin3aciy4enrw5jnq6i7/S1e2-an3-ajqy4ijknqy5-aceq6n7, B2cin3aejqr4iknqrw5acqr6cik7e8/S01e2cik3cej4cekntwz5jkqr6-ci78, B2ce3cq4akn5ck/S12ae4en5n)
17: Jellyfish (R2,C2,S4-8,17-20,B7-8,10,16)
18: Tidal Wave (B2e3eijr4ae5aekn6c8/S1e2ce3jny4ijkrw5ein6ack)
19: Corruption (B2ci3aek4ejwy5cinq/S01c2ac3ejkqr4eijkz5iknqy6ek7c8)
20: Checkerboard, Day & Night (B2en3cin4aciknqt5eny6ikn78/S2ace3-eny4cjnqyz5-cin6-en78
21: NeonReef (B2-ak3jn4cijq6in7/S1c2ace3air4aqrt5-ekqr6-ce78)
22. Snowflake Day&Night (B2cik3aer4ektyz5air6/S013-air4-cijkz5-aer6aen78)
23. Dust Bunnies (B2kn3-cen4c5r8/S1c2-c3-ej4ceiknqy5ei8)
24. Dots and Bugs (R2,C2,S2-3,6-9,18-24,B7-8,10,16,19-20,22-24)
25-27: CheckerboardDiagonal, Block & Knight, and T-complementary (B2cen3y4-ejqrz5aijk6-ei8/S12ei3-aijk4cnwyz5-y6aik78, B2en3acijq4ajkqr5knr8/S2-cn3-eny4ijkw5y6in78, and B2e3eij4jtz5aeik6in7c8/S1e2-in3-aeik4-iyz5-eij6-e78)
28: AgarGalaxy (B2cen3acijk4-einqr5cein6-an/S2cek3ckny4jnqtw5aik6cen78)
29-33: ZebraLife, SnowflakeCollision, ElectricCheckerboard, B2ck3ackn4ctwz5aiqy6ain78/S1c2a3-inq4-knq5-jknq6-a78, and R2,C2,S7,10-13,15-19,21-24,B4,10,15-16,18-24
34: TriangleLife (23/3/4LB)
35-37: B2-ae3acjr4ew5ejqy6ak8/S02-ci3ainy4-anqrt5cn6ci7e, B2cin3-ejr4qrz5ciky/S02-ai3ainq4ciw5ajn6-i78, and B3-k/S234e
38: 7x7INT (B2-ae3ajqy4ekty5einry6cek78/S02ei3aejnq4-cejnr5-aeqy67e8)
39: Giraffes0 (B012aci3ai4ijt5y6aek7/S1c3iy4yz5inq6ikn)
40-42: B2k3aijkq4acnqwyz5ejqry6n7e/S1e2eik3eikny4cinyz5ejqry6n7e8, B2cin3-ciqr4aeij5ai/S1c2-ei3-aciq4ew5akqy6n, and B3-cnry4aiy5i7c/S12aik3-cijy4cew5ir6i7c
43: Checkerboard-V (B2ei3in4aciktwy5eny6a7e8/S1c2-a3-eny4cnrwyz5-in6-ei78)
44: B2-an3-acik4ikqt5aer6ei/S12-ac3-cij4aeinrtz5iqy8
45: B2kn34cej6n7e/S2-n3aeiq4ijnz5ir6c
46: B2eik3ijr5r6ae7/S2-in3kn4q6ck7c8
47: BinaryJungle (B2en3eikqy4jk5j6aen8/S2-a34acjkqyz5-aeij6en78)
48: Spiderwebs (B2cin3aceiy4cqr5k6eik78/S12-ck3cikqy4-knrtw5aknqr6ac7e8)
49: B2e3ceijq4aciz5jny/S2ace3cjny4ajkqr5aknq6e
50: B2-an3jy4ciqrtwy5aik6ace8/S12ikn3-aik4ackryz5-jy6an78 - a zebra-complementary rule
51: B3-ejr4cjkrz5-eijk6ck78/S2-i3-akqr4eity5k6-a78 - a whitespace rule with guns and replicators
Last edited by R2INT on October 27th, 2026, 11:30 pm, edited 25 times in total.
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
pifricted
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Re: R2INT's Rule Collection

Post by pifricted »

R2INT wrote: July 12th, 2024, 7:09 pm Spacefiller:

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!
It's a Wavestretcher.
...is enjoying his teenage time.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

Is this c/2o spaceship known? clarification: his is superpond life

Code: Select all

x = 13, y = 11, rule = B34q7c/S23-r7c
5b3o$4bo3bo$3b2o3b2o$2b2obobob2o$b2o2bobo2b2o$2o2bo3bo2b2o$bo9b
o$bo4bo4bo$3bob3obo$5b3o$4b2ob2o!
Also this c/3o?

Code: Select all

x = 13, y = 25, rule = B34q7c/S23-r7c
5b3o$5b3o$4bo3bo$3bo5bo$2b2obobob2o$2bo7bo$4bo3bo$4bo3bo2$4b2ob
2o$3bobobobo$2b4ob4o$b2o2bobo2b2o$o2bo5bo2bo$4bo3bo$4bo3bo$4bo3b
o2$2b2o5b2o$3bo5bo$4bo3bo$2bo7bo$6bo$2b2ob3ob2o$5bobo!
:oops:
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R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

pifricted wrote: July 13th, 2024, 1:14 am
R2INT wrote: July 12th, 2024, 7:09 pm Spacefiller:

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!
It's a Wavestretcher.
Thanks for the correction!
Banananananan wrote: July 13th, 2024, 2:57 am Is this c/2o spaceship known? clarification: this is superpond life

Code: Select all

x = 13, y = 11, rule = B34q7c/S23-r7c
5b3o$4bo3bo$3b2o3b2o$2b2obobob2o$b2o2bobo2b2o$2o2bo3bo2b2o$bo9b
o$bo4bo4bo$3bob3obo$5b3o$4b2ob2o!
Also this c/3o?

Code: Select all

x = 13, y = 25, rule = B34q7c/S23-r7c
5b3o$5b3o$4bo3bo$3bo5bo$2b2obobob2o$2bo7bo$4bo3bo$4bo3bo2$4b2ob
2o$3bobobobo$2b4ob4o$b2o2bobo2b2o$o2bo5bo2bo$4bo3bo$4bo3bo$4bo3b
o2$2b2o5b2o$3bo5bo$4bo3bo$2bo7bo$6bo$2b2ob3ob2o$5bobo!
I haven't seen these spaceships before, so they must be new. Updated spaceship collection (4 ships: c/42d, c/4d, c/2o/ c/3o) (EDIT: speed correction)

Code: Select all

x = 58, y = 25, rule = B34q7c/S23-r7c
32b3o15b3o$31bo3bo14b3o$16bo13b2o3b2o12bo3bo$14b2obo11b2obobob2o10bo5b
o$3o10bobo12b2o2bobo2b2o8b2obobob2o$o2bo9b3o11b2o2bo3bo2b2o7bo7bo$2b2o
8bo15bo9bo10bo3bo$2bo10bo14bo4bo4bo10bo3bo$30bob3obo$32b3o14b2ob2o$31b
2ob2o12bobobobo$47b4ob4o$46b2o2bobo2b2o$45bo2bo5bo2bo$49bo3bo$49bo3bo
$49bo3bo2$47b2o5b2o$48bo5bo$49bo3bo$47bo7bo$51bo$47b2ob3ob2o$50bobo!
EDIT2: Block can eat the c/3o:

Code: Select all

x = 13, y = 38, rule = B34q7c/S23-r7c
5b2o$5b2o12$5b3o$5b3o$4bo3bo$3bo5bo$2b2obobob2o$2bo7bo$4bo3bo$4bo3bo2$
4b2ob2o$3bobobobo$2b4ob4o$b2o2bobo2b2o$o2bo5bo2bo$4bo3bo$4bo3bo$4bo3b
o2$2b2o5b2o$3bo5bo$4bo3bo$2bo7bo$6bo$2b2ob3ob2o$5bobo!
EDIT3: c/2o can push beehive by 2 cells:

Code: Select all

x = 13, y = 25, rule = B34q7c/S23-r7c
6bo$5bobo$5bobo$6bo11$5b3o$4bo3bo$3b2o3b2o$2b2obobob2o$b2o2bobo2b2o$2o
2bo3bo2b2o$bo9bo$bo4bo4bo$3bob3obo$5b3o$4b2ob2o!
Block can turn pi spark into 2 blinkers:

Code: Select all

x = 5, y = 10, rule = B34q7c/S23-r7c
2ob2o$bobo$2bo6$2b2o$2b2o!

EDIT: In Spines, I found a smaller p4 oscillator:

Code: Select all

x = 4, y = 5, rule = B012aen3-kr4enz5acny6-k7e/S2-k3-in4-cirwy5-jy6in
b2o2$b2o$4o$o2bo!
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

A new c/4 in SPL

Code: Select all

x = 16, y = 15, rule = B34q7c/S23-r7c
5bo4bo$4b3o2b3o$4b3o2b3o2$2b3o6b3o$bobob2o2b2obobo$o4b2o2b2o4bo
$2bob3o2b3obo$3bobo4bobo$4bo6bo$b3obo4bob3o$b2o3bo2bo3b2o$bo3bo4b
o3bo$3bobo4bobo$2o12b2o!
and a 2c/5

Code: Select all

x = 18, y = 60, rule = B34q7c/S23-r7c
4bo8bo$2b2ob2o4b2ob2o$2b2ob2o4b2ob2o2$ob3obo4bob3obo$obo2bo6bo2b
obo4$3bo10bo$2b3o8b3o$2bobo8bobo$5bo6bo$2o2b2o6b2o2b2o$5bo6bo$5b
2o4b2o$4bo2bo2bo2bo$4bob2o2b2obo$8b2o$4bo8bo$4bo8bo$5bobo2bobo$7b
o2bo$6b2o2b2o$6b2o2b2o$7b4o$8b2o2$7bo2bo$6b2o2b2o2$7b4o$5bo2b2o2b
o$5bobo2bobo$6bo4bo$7bo2bo$7bo2bo$5bob4obo$4b2o6b2o$5b2o4b2o$4b2o
bo2bob2o$4b2obo2bob2o$3bo10bo$5bo6bo$3b3o6b3o$3bobo6bobo$5b3o2b3o
$2bobobo4bobobo$3b3o6b3o$3bo10bo$3bo2bo4bo2bo$3bobo6bobo$7bo2bo$
2bo3bo4bo3bo2$4bob2o2b2obo$3b2ob2o2b2ob2o$3b3o6b3o$3b2o8b2o$5bob
4obo!
no wait thats just a huge tagalong
minimalized

Code: Select all

x = 7, y = 6, rule = B34q7c/S23-r7c
2bo$2ob2o$2ob2o2$ob3obo$bo2bobo!
c/3 in seashells

Code: Select all

x = 14, y = 11, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
b3o6b3o$bo10bo$2o10b2o$o12bo$2b2o6b2o$2b4o2b4o$b2obo4bob2o$3o8b
3o$ob4o2b4obo$3bobo2bobo$4bob2obo!
and a c/5

Code: Select all

x = 13, y = 50, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
3b2o3b2o$b2ob2ob2ob2o$2obo5bob2o$obobo3bobobo$b5ob5o$3bo5bo$4bo
3bo$2b3o3b3o$3bo5bo$4bo3bo$4bo3bo$3b3ob3o$3b2o3b2o$4bobobo$b2obo
3bob2o$bo2b5o2bo$bo4bo4bo$2bo2bobo2bo$bo9bo$5b3o$ob3o3b3obo$3ob2o
b2ob3o$2b3o3b3o$4bo3bo$3bobobobo$5bobo$5bobo$b2ob5ob2o$o2bo5bo2b
o$5b3o$bobobobobobo$2bobo3bobo$2bo7bo$2bo7bo$2bobo3bobo$2bob2ob2o
bo2$4bo3bo$3b3ob3o2$3b3ob3o$2b2o5b2o$2bo2b3o2bo2$2o9b2o$bo2b2ob2o
2bo$4bo3bo$4bo3bo$4b2ob2o$6bo!
and a c/3 in starflakes

Code: Select all

x = 6, y = 5, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
b4o$o4bo$6o$b4o$2b2o!
:oops:
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R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

Banananananan wrote: July 13th, 2024, 9:26 pm A new c/4 in SPL

Code: Select all

x = 16, y = 15, rule = B34q7c/S23-r7c
5bo4bo$4b3o2b3o$4b3o2b3o2$2b3o6b3o$bobob2o2b2obobo$o4b2o2b2o4bo
$2bob3o2b3obo$3bobo4bobo$4bo6bo$b3obo4bob3o$b2o3bo2bo3b2o$bo3bo4b
o3bo$3bobo4bobo$2o12b2o!
and a 2c/5

Code: Select all

x = 18, y = 60, rule = B34q7c/S23-r7c
4bo8bo$2b2ob2o4b2ob2o$2b2ob2o4b2ob2o2$ob3obo4bob3obo$obo2bo6bo2b
obo4$3bo10bo$2b3o8b3o$2bobo8bobo$5bo6bo$2o2b2o6b2o2b2o$5bo6bo$5b
2o4b2o$4bo2bo2bo2bo$4bob2o2b2obo$8b2o$4bo8bo$4bo8bo$5bobo2bobo$7b
o2bo$6b2o2b2o$6b2o2b2o$7b4o$8b2o2$7bo2bo$6b2o2b2o2$7b4o$5bo2b2o2b
o$5bobo2bobo$6bo4bo$7bo2bo$7bo2bo$5bob4obo$4b2o6b2o$5b2o4b2o$4b2o
bo2bob2o$4b2obo2bob2o$3bo10bo$5bo6bo$3b3o6b3o$3bobo6bobo$5b3o2b3o
$2bobobo4bobobo$3b3o6b3o$3bo10bo$3bo2bo4bo2bo$3bobo6bobo$7bo2bo$
2bo3bo4bo3bo2$4bob2o2b2obo$3b2ob2o2b2ob2o$3b3o6b3o$3b2o8b2o$5bob
4obo!
no wait thats just a huge tagalong
minimalized

Code: Select all

x = 7, y = 6, rule = B34q7c/S23-r7c
2bo$2ob2o$2ob2o2$ob3obo$bo2bobo!
c/3 in seashells

Code: Select all

x = 14, y = 11, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
b3o6b3o$bo10bo$2o10b2o$o12bo$2b2o6b2o$2b4o2b4o$b2obo4bob2o$3o8b
3o$ob4o2b4obo$3bobo2bobo$4bob2obo!
Interesting finds! Updated ship collections:

SuperpondLife (SPL):

Code: Select all

x = 97, y = 25, rule = B34q7c/S23-r7c
32b3o15bo16b3o16bo4bo$31bo3bo12b2ob2o14b3o15b3o2b3o$16bo13b2o3b2o11b2o
b2o13bo3bo14b3o2b3o$14b2obo11b2obobob2o27bo5bo$3o10bobo12b2o2bobo2b2o
9bob3obo9b2obobob2o10b3o6b3o$o2bo9b3o11b2o2bo3bo2b2o9bo2bobo9bo7bo9bo
bob2o2b2obobo$2b2o8bo15bo9bo27bo3bo10bo4b2o2b2o4bo$2bo10bo14bo4bo4bo27b
o3bo12bob3o2b3obo$30bob3obo47bobo4bobo$32b3o31b2ob2o14bo6bo$31b2ob2o29b
obobobo10b3obo4bob3o$64b4ob4o9b2o3bo2bo3b2o$63b2o2bobo2b2o8bo3bo4bo3b
o$62bo2bo5bo2bo9bobo4bobo$66bo3bo10b2o12b2o$66bo3bo$66bo3bo2$64b2o5b2o
$65bo5bo$66bo3bo$64bo7bo$68bo$64b2ob3ob2o$67bobo!
Seashells:

Code: Select all

x = 54, y = 13, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
bobo$o3bo6bo$4bo5bobo3b2o5b2o6b2o8b3o6b3o$o3bo5bobo2bo2bo3bo2bo4bo2bo
7bo10bo$b3o26bo9b2o10b2o$24bo7b2o6bo12bo$42b2o6b2o$42b4o2b4o$41b2obo4b
ob2o$40b3o8b3o$40bob4o2b4obo$43bobo2bobo$44bob2obo!
A small p4 that I found in Seashells:

Code: Select all

x = 5, y = 5, rule = B2en3ijkqr4cnqrt5acnq6en7/S2-in3ijkr4ejtwy5cjqy6-ei7e8
bo$2o2$3b2o$3bo!
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

c/6 in starflakes

Code: Select all

x = 14, y = 45, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
4bo4bo$5bo2bo$3bo2b2o2bo$3b8o$b2ob6ob2o$2b10o$5b4o$b3ob4ob3o$b2o
b6ob2o$6b2o$3bo6bo$3bo6bo$4bo4bo2$4bob2obo$4bo4bo$3b2ob2ob2o$4bo
4bo$2b2ob4ob2o$4b6o$3b8o$4b6o$3b2ob2ob2o$2bobob2obobo$3b8o$2bob6o
bo$b2ob6ob2o$o2b8o2bo$o2b8o2bo$3b8o$2bob6obo$4b6o$2b10o$2b10o$b2o
b6ob2o$2b10o$2bob6obo$b2ob6ob2o$2bob6obo$b2ob6ob2o$3b8o$4b6o$4b6o
$3bob4obo$5bo2bo!
2c/5

Code: Select all

x = 16, y = 31, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
5b2o2b2o$4bobo2bobo$3bo2b4o2bo$2b2o2bo2bo2b2o$4bo2b2o2bo$7b2o$4b
o6bo$4b2o4b2o$4b2o4b2o$5bo4bo2$5bo4bo2$4b3o2b3o$4b8o$b3ob6ob3o$b
ob2ob4ob2obo$3o2b6o2b3o$b2o2b6o2b2o$ob12obo$2bob8obo$2bob8obo$3b
10o$4b8o$3b2ob4ob2o$4bob4obo$5bob2obo$5b6o$5b6o$6b4o$7b2o!
c/4

Code: Select all

x = 13, y = 43, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
6bo$4b2ob2o$4b5o$3bob3obo$2b4ob4o$bobobobobobo$5bobo$bobo5bobo$
2bo7bo$4b2ob2o$3b2o3b2o$bo2bobobo2bo$2bo2bobo2bo$3o3bo3b3o$o2bob
3obo2bo$bobob3obobo$3bo5bo$4bo3bo$3bob3obo$2bobobobobo$b2obobobo
b2o$3bo2bo2bo$4b5o$2bobo3bobo$bob2o3b2obo$2b2ob3ob2o$2bobobobobo
$bobo2bo2bobo$b2obobobob2o$o3bobobo3bo$bo2bobobo2bo$3bo2bo2bo$3b
o5bo$b3o5b3o2$2b3o3b3o$bob2o3b2obo$o11bo$bobo2bo2bobo$b4o3b4o$4b
5o$5bobo$5bobo!
:oops:
User avatar
R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

I will update Starflakes and edit the main ship collection now.

Starflakes spaceship collection: (EDIT: Forgot the c/3o)

Code: Select all

x = 82, y = 45, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
bo13b2o2b2o12b4o14bo20bo4bo$obo11bobo2bobo10bo4bo11b2ob2o19bo2bo$13bo
2b4o2bo9b6o11b5o17bo2b2o2bo$12b2o2bo2bo2b2o9b4o11bob3obo16b8o$14bo2b2o
2bo12b2o11b4ob4o13b2ob6ob2o$17b2o27bobobobobobo13b10o$14bo6bo28bobo20b
4o$14b2o4b2o24bobo5bobo12b3ob4ob3o$14b2o4b2o25bo7bo13b2ob6ob2o$15bo4b
o28b2ob2o20b2o$48b2o3b2o16bo6bo$15bo4bo25bo2bobobo2bo14bo6bo$47bo2bob
o2bo16bo4bo$14b3o2b3o23b3o3bo3b3o$14b8o23bo2bob3obo2bo14bob2obo$11b3o
b6ob3o21bobob3obobo15bo4bo$11bob2ob4ob2obo23bo5bo16b2ob2ob2o$10b3o2b6o
2b3o23bo3bo18bo4bo$11b2o2b6o2b2o23bob3obo15b2ob4ob2o$10bob12obo21bobo
bobobo16b6o$12bob8obo22b2obobobob2o14b8o$12bob8obo24bo2bo2bo17b6o$13b
10o26b5o17b2ob2ob2o$14b8o25bobo3bobo14bobob2obobo$13b2ob4ob2o23bob2o3b
2obo14b8o$14bob4obo25b2ob3ob2o14bob6obo$15bob2obo26bobobobobo13b2ob6o
b2o$15b6o25bobo2bo2bobo11bo2b8o2bo$15b6o25b2obobobob2o11bo2b8o2bo$16b
4o25bo3bobobo3bo13b8o$17b2o27bo2bobobo2bo13bob6obo$48bo2bo2bo17b6o$48b
o5bo15b10o$46b3o5b3o13b10o$69b2ob6ob2o$47b3o3b3o14b10o$46bob2o3b2obo13b
ob6obo$45bo11bo11b2ob6ob2o$46bobo2bo2bobo13bob6obo$46b4o3b4o12b2ob6ob
2o$49b5o17b8o$50bobo19b6o$50bobo19b6o$71bob4obo$73bo2bo!
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

Accidentally found a beehive fuse

Code: Select all

x = 5, y = 54, rule = B34q7c/S23-r7c
2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bob
o$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$b
obo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$2ob2o$2o
b2o!
And a blinker fuse that makes traffic lights

Code: Select all

x = 5, y = 72, rule = B34q7c/S23-r7c
2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$
2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$
2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$2bo$2bo$2bo2$
2bo$2bo$2bo2$2bo$bobo$2ob2o$2ob2o!
Edit: c/5 in SPL

Code: Select all

x = 18, y = 23, rule = B34q7c/S23-r7c
2bo5b2o5bo$bobo3b4o3bobo$b2o3b6o3b2o$b3obobo2bobob3o$2bob4o2b4o
bo$bo14bo$bo14bo$bobobobo2bobobobo$6b6o$7bo2bo$6bob2obo$2bo2bobo
2bobo2bo$b5obo2bob5o$o3bo8bo3bo$bo2bobo4bobo2bo$7bo2bo$5bo2b2o2b
o$8b2o$6bob2obo$5bobo2bobo$5bo6bo$6b6o$5b2ob2ob2o!
:oops:
User avatar
R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

New ship collection:

Code: Select all

x = 120, y = 25, rule = B34q7c/S23-r7c
3o13bo15b3o15bo15b3o16bo4bo13bo5b2o5bo$o2bo10b2obo13bo3bo12b2ob2o13b3o
15b3o2b3o11bobo3b4o3bobo$2b2o9bobo14b2o3b2o11b2ob2o12bo3bo14b3o2b3o11b
2o3b6o3b2o$2bo10b3o13b2obobob2o26bo5bo32b3obobo2bobob3o$12bo15b2o2bob
o2b2o9bob3obo8b2obobob2o10b3o6b3o10bob4o2b4obo$13bo13b2o2bo3bo2b2o9bo
2bobo8bo7bo9bobob2o2b2obobo8bo14bo$28bo9bo26bo3bo10bo4b2o2b2o4bo7bo14b
o$28bo4bo4bo26bo3bo12bob3o2b3obo9bobobobo2bobobobo$30bob3obo46bobo4bo
bo15b6o$32b3o30b2ob2o14bo6bo17bo2bo$31b2ob2o28bobobobo10b3obo4bob3o13b
ob2obo$63b4ob4o9b2o3bo2bo3b2o9bo2bobo2bobo2bo$62b2o2bobo2b2o8bo3bo4bo
3bo8b5obo2bob5o$61bo2bo5bo2bo9bobo4bobo9bo3bo8bo3bo$65bo3bo10b2o12b2o
7bo2bobo4bobo2bo$65bo3bo39bo2bo$65bo3bo37bo2b2o2bo$110b2o$63b2o5b2o36b
ob2obo$64bo5bo36bobo2bobo$65bo3bo37bo6bo$63bo7bo36b6o$67bo39b2ob2ob2o
$63b2ob3ob2o$66bobo!
Unsolved unsimplified speeds in Starflakes:
c/5o, c/6o, c/4d, c/5d, c/6d, (2,1)c/6

Unsolved unsimplified speeds in 5x5:
c/4o, c/5o, 2c/5o, c/6o, c/4d, c/5d, c/6d, (2,1)c/6

Unsolved unsimplified speeds in Seashells:
c/4o, c/6o, c/4d, 2c/5o, c/5d, c/6d, (2,1)c/6

Unsolved unsimplified speeds in SPL:
c/5d, c/6o, c/6d, (2,1)c/6
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

Almost clean fuse turner! Can someone make a clean one?

Code: Select all

x = 44, y = 58, rule = B34q7c/S23-r7c
2o4b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2o3bo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bo$6b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2$2bo$bobo$bobo$2bo2$2bo$bo
bo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$
2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bob
o$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$2ob2o$2ob2o!
Edit: Soooo Close! And it retains the blocks!

Code: Select all

x = 44, y = 62, rule = B34q7c/S23-r7c
6b2o$6b2o3$2o4b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2o3bo2bobo2bobo2bobo2bo
bo2bobo2bobo2bobo2bo$6b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2$2bo$bobo$bobo$
2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bob
o$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$
2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$2ob2o$2ob2o!
Yes! Now we just need signals to make gates

Code: Select all

x = 44, y = 64, rule = B34q7c/S23-r7c
6b2o$5bo2bo$5bo2bo$6b2o3$2o4b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2o3bo2bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bo$6b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2$
2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bob
o$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$b
obo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$2ob2o$2o
b2o!
:oops:
User avatar
R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

Banananananan wrote: July 15th, 2024, 3:54 pm . . .
Yes! Now we just need signals to make gates

Code: Select all

x = 44, y = 64, rule = B34q7c/S23-r7c
6b2o$5bo2bo$5bo2bo$6b2o3$2o4b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2o3bo2bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bo$6b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2$
2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bob
o$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$b
obo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$bobo$2bo2$2bo$bobo$2ob2o$2o
b2o!
An example of how the fuse can be used to stop another fuse from burning:

Code: Select all

x = 207, y = 60, rule = B34q7c/S23-r7c
b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o2b2o$o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo
bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bob2o$b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2b2o11$36b2o23b
2o$35bo2bo21bo2bo$35bo2bo21bo2bo$36b2o23b2o3$30b2o4b2o3b2o3b2o3b2o2b2o
4b2o3b2o3b2o3b2o$30b2o3bo2bobo2bobo2bo2b2o2b2o3bo2bobo2bobo2bo2b2o$36b
2o3b2o3b2o13b2o3b2o3b2o2$32bo24bo$31bobo22bobo$31bobo22bobo$32bo24bo2$
32bo24bo$31bobo22bobo$31bobo22bobo$32bo24bo2$31b3o23bo$31b3o22bobo$56b
obo$57bo2$57bo$56bobo$56bobo$57bo2$57bo$56bobo$56bobo$57bo2$57bo$56bo
bo$56bobo$57bo2$57bo$56bobo$56bobo$57bo2$56b3o$56b3o!
The reaction caused from when the fuse reaches the end and hits the block deletes five beehives and results in a constellation of a block, ship, longboat and mango.

Can anyone find a splitter?
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

Almost clean fuse splitter

Code: Select all

x = 93, y = 69, rule = B34q7c/S23-r7c
45bo$44bobo$44bo2bo$45b2o2$51b2o$45b2o3bo2bo$44bo2bo2bo2bo$44bo2bo3b2o
$45b2o2$2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o4b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o$2o2bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo2b2o3bo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bo2b2o$5b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o9b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$
46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46b
obo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47b
o$46bobo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$46bobo$47b
o2$47bo$46bobo$45b2ob2o$45b2ob2o!
More clean

Code: Select all

x = 93, y = 69, rule = B34q7c/S23-r7c
45bo4b2o$44bobo2bo2bo$44bo2bo2b2o$45b2o2$51b2o$45b2o3bo2bo$44bo2bo2bo
2bo$44bo2bo3b2o$45b2o2$2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o4b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2o2bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bo2b2o3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo2b2o$5b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o9b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2$47bo$46bobo$38b2o6b
obo$38b2o7bo2$38b2o7bo$37bo2bo5bobo$38bobo5bobo$39bo7bo2$47bo$46bobo$
46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46b
obo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47b
o$46bobo30bo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$45b2ob
2o$45b2ob2o!
:oops:
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

Yes! Clean fuse splitter! (Sorry for doubleposting I’m bumping this thread)

Code: Select all

x = 93, y = 69, rule = B34q7c/S23-r7c
45bo4b2o$44bobo2bo2bo$44bo2bo2b2o$45b2o2$51b2o$45b2o3bo2bo$44bo2bo2bo
2bo$44bo2bo3b2o$45b2o2$2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o4b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2o2bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bo2b2o3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo2b2o$5b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o9b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2$47bo$46bobo$38b2o6b
obo$38b2o7bo2$38b2o7bo$37bo2bo5bobo$36bo2bo6bobo$37b2o8bo2$37b2o8bo$36b
o2bo6bobo$36bo2bo6bobo$37b2o8bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo
$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$
46bobo$46bobo$47bo2$47bo$46bobo30bo$46bobo$47bo2$47bo$46bobo$46bobo$47b
o2$47bo$46bobo$45b2ob2o$45b2ob2o!
:oops:
User avatar
R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

R2INT wrote: July 15th, 2024, 4:46 pm . . .
An example of how the fuse can be used to stop another fuse from burning:

Code: Select all

x = 207, y = 60, rule = B34q7c/S23-r7c
b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o2b2o$o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo
bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bob2o$b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2b2o11$36b2o23b
2o$35bo2bo21bo2bo$35bo2bo21bo2bo$36b2o23b2o3$30b2o4b2o3b2o3b2o3b2o2b2o
4b2o3b2o3b2o3b2o$30b2o3bo2bobo2bobo2bo2b2o2b2o3bo2bobo2bobo2bo2b2o$36b
2o3b2o3b2o13b2o3b2o3b2o2$32bo24bo$31bobo22bobo$31bobo22bobo$32bo24bo2$
32bo24bo$31bobo22bobo$31bobo22bobo$32bo24bo2$31b3o23bo$31b3o22bobo$56b
obo$57bo2$57bo$56bobo$56bobo$57bo2$57bo$56bobo$56bobo$57bo2$57bo$56bo
bo$56bobo$57bo2$57bo$56bobo$56bobo$57bo2$56b3o$56b3o!
The reaction caused from when the fuse reaches the end and hits the block deletes five beehives and results in a constellation of a block, ship, longboat and mango.

Can anyone find a splitter?
The gate you described above is a NOR gate. A splitter was found by Banananananan:
Banananananan wrote: July 18th, 2024, 6:31 pm Yes! Clean fuse splitter! (Sorry for doubleposting I’m bumping this thread)

Code: Select all

x = 93, y = 69, rule = B34q7c/S23-r7c
45bo4b2o$44bobo2bo2bo$44bo2bo2b2o$45b2o2$51b2o$45b2o3bo2bo$44bo2bo2bo
2bo$44bo2bo3b2o$45b2o2$2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o4b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o$2o2bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bo2b2o3bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo2b2o$5b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o9b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2$47bo$46bobo$38b2o6b
obo$38b2o7bo2$38b2o7bo$37bo2bo5bobo$36bo2bo6bobo$37b2o8bo2$37b2o8bo$36b
o2bo6bobo$36bo2bo6bobo$37b2o8bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo
$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$46bobo$46bobo$47bo2$47bo$
46bobo$46bobo$47bo2$47bo$46bobo30bo$46bobo$47bo2$47bo$46bobo$46bobo$47b
o2$47bo$46bobo$45b2ob2o$45b2ob2o!
Does this prove SuperpondLife turing complete?

More goals for SuperpondLife:

Find splitters, reflectors and guns for the c/4d:

Code: Select all

x = 6, y = 6, rule = B34q7c/S23-r7c
4bo$2b2obo$bobo$b3o$o$bo!
Find a c/5d
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

R2INT wrote: July 22nd, 2024, 8:41 pm Does this prove SuperpondLife turing complete?
Nah, far from it. This is not necessarily anything in the goals, but it is a cool reaction.

Code: Select all

x = 17, y = 17, rule = B34q7c/S23-r7c
12bo$11bobo$10bobo$9bobo$8bobo$7bobo$6bobo$5bobo$4bobo$3bobo$2bobo$bo
bo11bo$obo10b2obo$bo10bobo$12b3o$11bo$12bo!
Also that’s a NOT gate.
:oops:
User avatar
R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

Banananananan wrote: July 22nd, 2024, 9:00 pm . . .
Also that’s a NOT gate.
Are you sure it is? Here is the truth table for it:

Code: Select all

x = 435, y = 180, rule = B34q7c/S23-r7c
b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o2b2o22b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2b2o$o2bobo2bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo
bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o21bo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob2o$b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o2b2o22b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2b2o11$36b2o23b2o201b2o23b
2o$35bo2bo21bo2bo199bo2bo21bo2bo$35bo2bo21bo2bo199bo2bo21bo2bo$36b2o23b
2o201b2o23b2o3$30b2o4b2o3b2o3b2o3b2o2b2o4b2o3b2o3b2o3b2o180b2o4b2o3b2o
3b2o3b2o2b2o4b2o3b2o3b2o3b2o$30b2o3bo2bobo2bobo2bo2b2o2b2o3bo2bobo2bo
bo2bo2b2o180b2o3bo2bobo2bobo2bo2b2o2b2o3bo2bobo2bobo2bo2b2o$36b2o3b2o
3b2o13b2o3b2o3b2o191b2o3b2o3b2o13b2o3b2o3b2o2$32bo24bo202bo24bo$31bob
o22bobo200bobo22bobo$31bobo22bobo200bobo22bobo$32bo24bo202bo24bo2$32b
o24bo202bo24bo$31bobo22bobo200bobo22bobo$31bobo22bobo200bobo22bobo$32b
o24bo202bo24bo2$31b3o23bo227bo$31b3o22bobo225bobo$56bobo225bobo$57bo227b
o2$57bo227bo$56bobo225bobo$56bobo225bobo$57bo227bo2$57bo227bo$56bobo225b
obo$56bobo225bobo$57bo227bo2$57bo227bo$56bobo225bobo$56bobo225bobo$57b
o227bo2$57bo227bo$56bobo225bobo$56bobo225bobo$57bo227bo2$56b3o225b3o$
56b3o225b3o64$b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2b2o22b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2b
2o$o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo
2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bob
o2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bo
b2o21bo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
obo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2bobo2b
ob2o$b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o2b2o22b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o2b2o11$36b2o
23b2o201b2o23b2o$35bo2bo21bo2bo199bo2bo21bo2bo$35bo2bo21bo2bo199bo2bo
21bo2bo$36b2o23b2o201b2o23b2o3$30b2o4b2o3b2o3b2o3b2o2b2o4b2o3b2o3b2o3b
2o180b2o4b2o3b2o3b2o3b2o2b2o4b2o3b2o3b2o3b2o$30b2o3bo2bobo2bobo2bo2b2o
2b2o3bo2bobo2bobo2bo2b2o180b2o3bo2bobo2bobo2bo2b2o2b2o3bo2bobo2bobo2b
o2b2o$36b2o3b2o3b2o13b2o3b2o3b2o191b2o3b2o3b2o13b2o3b2o3b2o2$32bo24bo
202bo24bo$31bobo22bobo200bobo22bobo$31bobo22bobo200bobo22bobo$32bo24b
o202bo24bo2$32bo24bo202bo24bo$31bobo22bobo200bobo22bobo$31bobo22bobo200b
obo22bobo$32bo24bo202bo24bo2$31b3o23bo227bo$31b3o22bobo225bobo$56bobo
225bobo$57bo227bo2$57bo227bo$56bobo225bobo$56bobo225bobo$57bo227bo2$57b
o227bo$56bobo225bobo$56bobo225bobo$57bo227bo2$57bo227bo$56bobo225bobo
$56bobo225bobo$57bo227bo2$57bo227bo$56bobo225bobo$56bobo225bobo$57bo227b
o!
Inputs:

Code: Select all

x = 226, y = 163, rule = B34q7c/S23-r7cHistory
208.3D2.D.D3.D3.D$.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A
3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A5.D4.D.D2.D.D2.D$A2.A.A2.A.
A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A
.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.
A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A4.3D2.D.D2.D.
D2.D$.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A
3.2A3.2A3.2A3.2A3.2A3.2A3.2A5.D4.D.D2.3D2.D$208.3D3.D3.D.D2.3D10$36.2A
23.2A$35.A2.A21.A2.A$35.A2.A21.A2.A$36.2A23.2A3$30.2A4.2A3.2A3.2A3.2A
2.2A4.2A3.2A3.2A3.2A$30.2A3.A2.A.A2.A.A2.A2.2A2.2A3.A2.A.A2.A.A2.A2.2A
$36.2A3.2A3.2A13.2A3.2A3.2A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.
A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A
$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$
32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.
A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A
24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A
22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.
A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.
A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.
A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.
A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.
A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.
A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A
$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$
32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.
A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A
24.A$31.A.A22.A.A$31.A.A22.A.A$32.A24.A2$32.A24.A$31.A.A22.A.A$31.A.A
22.A.A$32.A24.A2$31.3A$31.3A3$28.3D.D2.D2.2D11.3D.D2.D2.3D$29.D2.2D.D
3.D12.D2.2D.D4.D$29.D2.D.2D3.D12.D2.D.2D2.3D$29.D2.D.2D3.D12.D2.D.2D2.
D$28.3D.D2.D2.3D10.3D.D2.D2.3D!
NOT gate has one input and its truth table is:

Code: Select all

I|O
0|1
1|0
NOR gate has two inputs and its truth table is:

Code: Select all

II|O
00|1
01|0
10|0
11|0
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
H. H. P. M. P. Cole
Posts: 486
Joined: July 15th, 2023, 9:36 pm

Re: R2INT's Rule Collection

Post by H. H. P. M. P. Cole »

5c/21o in SuperpondLife:

Code: Select all

x = 6, y = 18, rule = B34q7c/S23-r7c
o$o$o$4bo$bo3bo$bo3bo$bo3bo$2bobo3$2bobo$bo3bo$bo3bo$bo3bo$4bo$o$o$o!
#C [[ THEME MCell ZOOM 12 TRACKLOOP 21 5/21 0/21 ]]
Soup:

Code: Select all

#C https://catagolue.hatsya.com/hashsoup/D8_4/k_nzAApTbFtV8d116224/b34q7cs23-r7c
x = 32, y = 32, rule = B34q7c/S23-r7c
oooboobooooboobbbboobooooboobooo$
oobobooobboobbboobbboobboooboboo$
obobooboobobboooooobbobooboobobo$
bobbbobbooooooobbooooooobbobbbob$
obobbobbobbboooooooobbbobbobbobo$
ooooobbbobbbobobbobobbbobbbooooo$
bobbbbbobbobbbobbobbbobbobbbbbob$
ooobbbooobbobobbbbobobbooobbbooo$
obooooboooboobobbobooboooboooobo$
obbobbbbooobobboobbobooobbbbobbo$
oooobbobbobbbbbbbbbbbbobbobboooo$
bobobbboobbbbboooobbbbboobbbobob$
obbooobboobbbboooobbbboobbooobbo$
obooobbobbbbboooooobbbbbobbooobo$
bbooooobobbooobbbbooobbobooooobb$
boobobbbboboooboobooobobbbboboob$
boobobbbboboooboobooobobbbboboob$
bbooooobobbooobbbbooobbobooooobb$
obooobbobbbbboooooobbbbbobbooobo$
obbooobboobbbboooobbbboobbooobbo$
bobobbboobbbbboooobbbbboobbbobob$
oooobbobbobbbbbbbbbbbbobbobboooo$
obbobbbbooobobboobbobooobbbbobbo$
obooooboooboobobbobooboooboooobo$
ooobbbooobbobobbbbobobbooobbbooo$
bobbbbbobbobbbobbobbbobbobbbbbob$
ooooobbbobbbobobbobobbbobbbooooo$
obobbobbobbboooooooobbbobbobbobo$
bobbbobbooooooobbooooooobbobbbob$
obobooboobobboooooobbobooboobobo$
oobobooobboobbboobbboobboooboboo$
oooboobooooboobbbboobooooboobooo!
EDIT:
R2INT wrote: July 22nd, 2024, 8:41 pm Find a c/5d

Code: Select all

x = 12, y = 12, rule = B34q7c/S23-r7c
6bo$5b2o$4bo2bo$3b3o$2b4obo$bob2o3b2o$2o$2bobo5bo$5bo3b3o$5bo2bobo$7b
3o$8bo!
c/6d that pulls a beacon behind it:

Code: Select all

x = 22, y = 22, rule = B34q7c/S23-r7c
5b2o$3b2obo$4bobobo$bo2bo3bo$b3o3bo$o7bo$3o$4bo4b3o$2b2obo3bo3bo$7b2o
2b2o$7bo2bo3bobo$7bobo2bo4b2o$9bobobo5bo$8bo3bo4bo2bo$10bo7bo2bo$18bo
$10bo10bo$11bobo5bo$11bo2b2o3b2o$12bo4b2o$13bo4bo$14bobo!
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

I think this is another nor

Code: Select all

x = 125, y = 119, rule = B34q7c/S23-r7cHistory
12.D$12.D$12.D$12.3D4.2D.2D$12.D.D4.2D.2D$12.3D6.D2$21.A$20.A.A$20.A.
A$21.A2$21.A$20.A.A$20.A.A$21.A2$21.A$20.A.A$20.A.A$21.A2$21.A$20.A.A
$20.A.A$21.A2$21.A$20.A.A$20.A.A$21.A2$21.A$20.A.A$20.A.A$21.A2$21.A$
20.A.A$20.A.A$21.A2$21.A$20.A.A$20.A.A$21.A2$21.A$20.A.A$3.2D.D.D2.D2.
D5.A.A$3.D2.D.D.D.D.D6.A$3.2D.D.D.3D.D$3.D2.D.D.D.D.D108.2A$3.2D2.D2.
D.D.3D4.DCA3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A3.2A3.3A$20.DA.DA.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.
A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$.D2.D2.D2.
3D5.D2.DCA3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A
3.2A3.2A3.2A3.2A3.3A$D.D.D2.D4.D.3D.D104.2A$3D.D2.D2.3D5.D$D.D.D2.D4.
D.3D.D$D.D.2D.2D.3D5.D6.A$24.A.A$24.A.A$25.A2$25.A$24.A.A$24.A.A$25.A
2$25.A$24.A.A$24.A.A$25.A2$25.A$24.A.A$24.A.A$25.A2$25.A$24.A.A$24.A.
A$25.A2$25.A$24.A.A$24.A.A$25.A2$25.A$24.A.A$24.A.A$25.A2$25.A$24.A.A
$24.A.A$25.A2$25.A$24.A.A$24.A.A$25.A2$25.A$24.A.A$24.A.A$25.A2$25.A$
24.A.A$24.A.A$25.A2$14.3D8.D$16.D6.2D.2D$14.3D6.2D.2D$14.D.D$14.3D!
And a (dirty) AND gate

Code: Select all

x = 117, y = 122, rule = B34q7c/S23-r7cHistory
114.D$114.D$114.3D$114.D.D$114.3D$114.D$107.2D.2D$107.2D.2D$109.D2$49.
D59.A$39.3D3.D3.D58.A.A$41.D2.D.D2.D58.A.A$39.3D2.D.D2.3D57.A$39.D.D.
D3.D.D.D$39.3D.D3.D.3D57.A$108.A.A$108.A.A$109.A2$109.A$108.A.A$108.A
.A$109.A2$109.A$108.A.A$108.A.A$109.A2$109.A$108.A.A$108.A.A$109.A2$109.
A$108.A.A$108.A.A$109.A2$109.A$108.A.A$108.A.A$109.A2$109.A$108.A.A$108.
A.A$109.A2$109.A$108.A.A$108.A.A$109.A2$109.A$108.A.A$3D.D.D2.D2.D95.
A.A$D.D.D.D.D.D.D91.2A3.A$3D.D.D.3D.D90.A2.A$D3.D.D.D.D.D91.2A3.A$3D2.
D2.D.D.3D93.A.A$108.A.A$109.A$8.DCA3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A$7.DA.DA.A2.A.A2.A.A2.A.A2.
A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.
A.A2.A$8.DCA3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A3.2A3.A$108.A.A$108.A.A$109.A2$109.A$108.A.A$108.A.A$109.
A2$109.A$108.A.A$108.A.A$109.A2$109.A$108.A.A$108.A.A$109.A2$109.A$108.
A.A$108.A.A$109.A2$109.A$108.A.A$108.A.A$109.A2$109.A$108.A.A$108.A.A
$109.A2$109.A$108.A.A$108.A.A$109.A2$109.A$108.A.A$108.A.A$109.A2$109.
A$108.A.A$108.A.A$109.A2$109.D$102.3D2.2D.2D$104.D2.2D.2D$102.3D$102.
D.D$102.4D!
Dirty OR Gate

Code: Select all

x = 99, y = 113, rule = B34q7c/S23-r7cHistory
51.3D.D.D.3D.D$51.D3.D.D.D.D.D$51.3D.D.D.3D.D$51.D3.D.D.D.D.D$51.3D2.
D2.D.D.3D2$49.D$48.DAD$48.C.C$48.ADA$49.A2$49.A$48.A.A$48.A.A$49.A2$49.
A$48.A.A$48.A.A$49.A2$49.A$48.A.A$48.A.A$49.A2$49.A$48.A.A$48.A.A$49.
A2$49.A$48.A.A$48.A.A$49.A2$49.A$48.A.A$48.A.A$6.2A41.A41.2A$5.A2.A81.
A2.A$5.A2.A81.A2.A$6.2A41.A41.2A$48.A.A$48.A.A$2A4.2A3.2A3.2A3.2A3.2A
3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A4.2A$2A3.A2.A.A2.
A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A7.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.
A.A2.A3.2A$6.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A$48.A.A$2.A45.A.A45.A$.A.A45.A45.A.A$.A.A91.A.A$2.A93.A
2$2.A93.A$.A.A91.A.A$.A.A91.A.A$2.A93.A2$2.A93.A$.A.A91.A.A$.A.A91.A.
A$2.A93.A2$2.A93.A$.A.A91.A.A$.A.A91.A.A$2.A93.A2$2.A93.A$.A.A91.A.A$
.A.A91.A.A$2.A93.A2$2.A93.A$.A.A91.A.A$.A.A91.A.A$2.A93.A2$2.A93.A$.A
.A91.A.A$.A.A91.A.A$2.A93.A2$2.A93.A$.A.A91.A.A$.A.A91.A.A$2.A93.A2$2.
A93.A$.A.A91.A.A$.A.A91.A.A$2.A93.A2$2.A93.A$.A.A91.A.A$.A.A91.A.A$2.
A93.A2$2.D93.D$2D.2D89.2D.2D$2D.2D89.2D.2D3$95.D$95.D$95.3D$3D92.D.D$
2.D92.3D$3D$D.D$3D!
Dirty (delayed) XOR

Code: Select all

x = 176, y = 239, rule = B34q7c/S23-r7cHistory
3$43.3D.D.D.3D.D$43.D3.D.D.D.D.D$43.3D.D.D.3D.D$43.D3.D.D.D.D.D$43.3D
2.D2.D.D.3D3$113.2A$55.2A55.A2.A$54.A2.A54.A2.A$49.D4.A2.A55.2A$48.DA
D4.2A$48.C.C$48.ADA4.2A3.A3.A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A
4.2A$49.A4.A2.A.A.A.A.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.
A2.A3.2A$55.2A3.A3.A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A$49.A$48.
A.A67.A$48.A.A66.A.A$49.A67.A.A$118.A$49.A$48.A.A67.A$48.A.A66.A.A$49.
A67.A.A$118.A$49.A$48.A.A67.A$48.A.A66.A.A$49.A67.A.A$118.A$49.A$48.A
.A67.A$48.A.A66.A.A$49.A67.A.A$118.A$49.A$48.A.A67.A$48.A.A66.A.A$49.
A67.A.A$118.A$49.A$48.A.A67.A$48.A.A66.A.A$6.2A41.A41.2A24.A.A$5.A2.A
81.A2.A24.A$5.A2.A81.A2.A$6.2A41.A41.2A25.A$48.A.A66.A.A$48.A.A66.A.A
$2A4.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A4.2A19.A$2A3.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A7.A.A2.A.
A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A3.2A$6.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A25.A$48.A.A66.A.A$2.A45.A.A
45.A20.A.A$.A.A45.A45.A.A20.A$.A.A91.A.A$2.A46.A46.A21.A$48.A.A66.A.A
$2.A45.A.A45.A20.A.A$.A.A45.A45.A.A20.A$.A.A91.A.A$2.A46.A46.A21.A$48.
A.A66.A.A$2.A45.A.A45.A20.A.A$.A.A45.A45.A.A20.A$.A.A91.A.A$2.A46.A46.
A21.A$48.A.A66.A.A$2.A45.A.A45.A20.A.A$.A.A45.A45.A.A20.A$.A.A91.A.A$
2.A46.A46.A21.A$48.A.A66.A.A$2.A45.A.A45.A20.A.A$.A.A45.A45.A.A20.A$.
A.A91.A.A$2.A46.A46.A21.A$48.A.A66.A.A$2.A45.A.A45.A20.A.A$.A.A45.A45.
A.A20.A$.A.A91.A.A$2.A46.A46.A21.A$48.A.A66.A.A$2.A45.A.A45.A20.A.A$.
A.A45.A45.A.A20.A$.A.A91.A.A$2.A46.A46.A21.A$48.A.A66.A.A$2.A45.A.A45.
A20.A.A$.A.A45.A45.A.A20.A$.A.A91.A.A$2.A46.A46.A21.A$48.A.A66.A.A$2.
A45.A.A45.A20.A.A$.A.A45.A45.A.A20.A$.A.A91.A.A$2.A46.A46.A21.A$48.A.
A66.A.A$2.A45.A.A45.A20.A.A$.A.A45.A45.A.A20.A$.A.A91.A.A$2.A46.A46.A
21.A$48.A.A66.A.A$2.C45.A.A45.C20.A.A$2C.2C44.A44.2C.2C19.A$2C.2C89.2C
.2C$49.A68.A$48.A.A66.A.A$48.A.A44.D21.A.A$49.A45.D22.A$95.3D$3D46.A45.
D.D20.A4.2A$2.D45.A.A44.3D19.A.A2.A2.A$3D45.A.A66.A.A2.A2.A$D.D46.A68.
A4.2A$3D$53.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A$47.2A3.
A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A$47.2A
4.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A$118.2A2$53.2A
$52.A2.A$52.A2.A$53.2A!
Logic Goals: Signals, XNOR NAND Instant XOR
:oops:
User avatar
R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

H. H. P. M. P. Cole wrote: July 22nd, 2024, 11:33 pm 5c/21o in SuperpondLife:

Code: Select all

x = 6, y = 18, rule = B34q7c/S23-r7c
o$o$o$4bo$bo3bo$bo3bo$bo3bo$2bobo3$2bobo$bo3bo$bo3bo$bo3bo$4bo$o$o$o!
#C [[ THEME MCell ZOOM 12 TRACKLOOP 21 5/21 0/21 ]]
Soup:

Code: Select all

#C https://catagolue.hatsya.com/hashsoup/D8_4/k_nzAApTbFtV8d116224/b34q7cs23-r7c
x = 32, y = 32, rule = B34q7c/S23-r7c
oooboobooooboobbbboobooooboobooo$
oobobooobboobbboobbboobboooboboo$
obobooboobobboooooobbobooboobobo$
bobbbobbooooooobbooooooobbobbbob$
obobbobbobbboooooooobbbobbobbobo$
ooooobbbobbbobobbobobbbobbbooooo$
bobbbbbobbobbbobbobbbobbobbbbbob$
ooobbbooobbobobbbbobobbooobbbooo$
obooooboooboobobbobooboooboooobo$
obbobbbbooobobboobbobooobbbbobbo$
oooobbobbobbbbbbbbbbbbobbobboooo$
bobobbboobbbbboooobbbbboobbbobob$
obbooobboobbbboooobbbboobbooobbo$
obooobbobbbbboooooobbbbbobbooobo$
bbooooobobbooobbbbooobbobooooobb$
boobobbbboboooboobooobobbbboboob$
boobobbbboboooboobooobobbbboboob$
bbooooobobbooobbbbooobbobooooobb$
obooobbobbbbboooooobbbbbobbooobo$
obbooobboobbbboooobbbboobbooobbo$
bobobbboobbbbboooobbbbboobbbobob$
oooobbobbobbbbbbbbbbbbobbobboooo$
obbobbbbooobobboobbobooobbbbobbo$
obooooboooboobobbobooboooboooobo$
ooobbbooobbobobbbbobobbooobbbooo$
bobbbbbobbobbbobbobbbobbobbbbbob$
ooooobbbobbbobobbobobbbobbbooooo$
obobbobbobbboooooooobbbobbobbobo$
bobbbobbooooooobbooooooobbobbbob$
obobooboobobboooooobbobooboobobo$
oobobooobboobbboobbboobboooboboo$
oooboobooooboobbbboobooooboobooo!
EDIT:
R2INT wrote: July 22nd, 2024, 8:41 pm Find a c/5d

Code: Select all

x = 12, y = 12, rule = B34q7c/S23-r7c
6bo$5b2o$4bo2bo$3b3o$2b4obo$bob2o3b2o$2o$2bobo5bo$5bo3b3o$5bo2bobo$7b
3o$8bo!
c/6d that pulls a beacon behind it:

Code: Select all

x = 22, y = 22, rule = B34q7c/S23-r7c
5b2o$3b2obo$4bobobo$bo2bo3bo$b3o3bo$o7bo$3o$4bo4b3o$2b2obo3bo3bo$7b2o
2b2o$7bo2bo3bobo$7bobo2bo4b2o$9bobobo5bo$8bo3bo4bo2bo$10bo7bo2bo$18bo
$10bo10bo$11bobo5bo$11bo2b2o3b2o$12bo4b2o$13bo4bo$14bobo!
Updated ship collection with 3 new speeds:

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!
Oscillator collection:

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$obobo2bobobo17b2o$29b2o$4bo2bo3bo8b2o3bo6b2o6b2o
$20bobo3bo5b3o5b2o$obobo2bo3bo9b5o6b2o$22b3o4b2o$4bo2bo3bo17b2o2$obob
o2bobobo4$o3bo2bo3bo2$o3bo2bo3bo2$obobo2bobobo7b2ob3o$18bo2bob2o$4bo6b
o7bobo3bo$20b3obo$4bo6bo11bo!
Catagolue link: https://catagolue.hatsya.com/census/b34q7cs23-r7c
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

NAND gate

Code: Select all

x = 239, y = 130, rule = B34q7c/S23-r7cHistory
119.3D2.D3.D3.D2.D$119.D4.D3.D2.D.D.D$119.3D2.D3.D2.3D.D$119.D5.D.D3.
D.D.D$119.3D4.D4.D.D.3D2$116.D$115.DAD$115.C.C$115.ADA$116.A$3D$D.D113.
A119.D$2.D112.A.A118.D$3D112.A.A118.3D$D.D113.A119.D.D$3D233.3D$116.A
$115.A.A$.2D112.A.A119.2D$.2D3.A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.A5.A5.2A3.2A3.2A3.2A3.2A3.
2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A
3.2D$3.D.A.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A
2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A.A9.A2.A.A2.A.A2.A.A2.A.
A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A
.A2.A.A2.A.A2.A.A2.A.A2.A.D$.2D3.A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A
3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.A5.A5.2A3.2A3.2A3.2A3.2A
3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.2A3.
2A3.2D$.2D112.A.A119.2D$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.
A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.
A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$
116.A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.A$115.A
.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$
116.A2$116.A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.
A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.
A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$
116.A$115.A.A$115.A.A$116.A2$116.A$115.A.A$115.A.A$116.A2$116.A$114.2A
.2A$114.2A.2A!
:oops:
User avatar
R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

New Rule: City Blocks (B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78)

Code: Select all

#R B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
b!
# [[ RANDOMIZE ]]
This rule was named for the robust still lives that resemble city buildings. This rule contains a p64 oscillator and a rare c/3o spaceship.

Oscillator collection:

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!
Spaceship Collection (c/3o, 2c/7o, c/4o, c/5o, c/6o, c/7o):

Code: Select all

x = 94, y = 86, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
obo6b3o5b3o7bob2obo2bob2obo6b3o6b3o6bobo6bobo10bobo$9bob2o3b2obo8bob8o
bo7bob2o4b2obo9b2o2b2o12b5o$3o5b2o9b2o8b3ob2ob3o11b2o2b2o8b3ob2o2b2ob
3o7b7o$obo6bo9bo13b2o12b2obo4bob2o5bo12bo7bobobobo$bo7b2o7b2o12b4o11b
3ob4ob3o6b3o2b2o2b3o9bobobo$bo44bo2bob4obo2bo6bo2b4o2bo12bo$7b4o7b4o8b
o6bo10b2o2b2o2b2o11b4o14b3o$7b5o5b5o6bo3bo2bo3bo7bo4b2o4bo5b2o2bo4bo2b
2o6bo2b3o2bo$7b2o2bo5bo2b2o24b3o3b2o3b3o4b3o8b3o6b2ob3ob2o$7b2obobo3b
obob2o5bo12bo5bo3bo4bo3bo4b3o8b3o7bob3obo$7b2o5bo5b2o9b2o2b2o13bo4bo8b
4obo2bob4o6b3o3b3o$13b3o13bo2bo2bo2bo10b2o4b2o7b3obo4bob3o9bobo$13b3o
14bobo2bobo12b2o2b2o8b3obob2obob3o8b5o$8bobo2b3o2bobo29b2o2b2o8b2o2bo
b2obo2b2o7bo2bo2bo$9b2o2b3o2b2o30bo4bo8bo5b2o5bo9bobo$14bo34b3o2b3o7b
2o2b6o2b2o9b3o$10b2o2bo2b2o30b3o2b3o11b6o14bo$49b8o9bo8bo12bo$12bobob
o47bo12bo5bo9bo$12b5o68b2obob2o$13b3o69bo5bo$13b3o68b2o5b2o$12b5o68bo
bobobo$12b5o68bo5bo$13b3o67b4o3b4o$9bobob3obobo63bob2o3b2obo$13b3o$10b
o2b3o2bo67bo3bo$9bo3b3o3bo65bo5bo$8b2o3b3o3b2o64b2o3b2o$11bob3obo66bo
bo3bobo$8bo4b3o4bo63b2o5b2o$8b2ob7ob2o65bo3bo$8b4ob3ob4o62bo3b3o3bo$9b
ob2o3b2obo64bo7bo$11b2o3b2o$11b2o3b2o67bo5bo$8bo2b2o3b2o2bo64b2obob2o
$9bob2o3b2obo$9bob2o3b2obo68bo$85b2obob2o2$85b7o$84b2obobob2o$85bob3o
bo$84b2obobob2o2$85b2o3b2o$88bo$88bo$86b5o$86b5o$88bo$87bobo$86b5o$84b
ob5obo$83b11o$84bob5obo$86b5o$84bob5obo$85b7o$86b5o$86b5o$83b2o2b3o2b
2o$83b3obobob3o$83b11o$83b2o2bobo2b2o$88bo$87bobo$87bobo$84b2o2bo2b2o
2$88bo$85b2obob2o$88bo$85bob3obo$85bob3obo$85bo2bo2bo$84bo3bo3bo$84b2o
b3ob2o$84bo7bo$88bo$88bo$85b3ob3o$84b2o5b2o$85bo5bo!

It is possible to disprove the existence of p2 c/2o's in this rule:

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!
Each of these figures (top and bottom rows) represent the top-right corner of a theoretical c/2o. For the first figure (top), notice that there is no way to arrange live cells inside of the 4x4 red block in the second phase to get an exact match of the first phase, thus meaning that this frontend doesn't work. For the second figure (bottom), instead of using B3a in the second phase, it is possible to use B2k instead. This also leads to a contradiction, because the marked on cell must be alive, meaning that the yellow cells sticking into the blue forbidden area must be alive for that marked cell to come alive. That completes our proof.

TODO:
Apgsearch this rule (if apgsearchable)
Find a 2c/7o, c/7o (R2INT), c/2o (disproof by R2INT), 2c/5o (requires LLSSS), 3c/7o, 3c/8o, c/8o
Find a diagonal speed c/4, c/5d
Find a natural occurrence of a spaceship (found by R2INT)
Last edited by R2INT on October 16th, 2026, 5:45 pm, edited 1 time in total.
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
User avatar
Banananananan
Posts: 236
Joined: May 5th, 2024, 8:52 pm

Re: R2INT's Rule Collection

Post by Banananananan »

c/5 in CIty Blocks

Code: Select all

x = 14, y = 18, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
b3o6b3o$bob2o4b2obo$4b2o2b2o$b2obo4bob2o$b3ob4ob3o$o2bob4obo2bo
$2b2o2b2o2b2o$bo4b2o4bo$3o3b2o3b3o$o3bo4bo3bo$4bo4bo$3b2o4b2o$4b
2o2b2o$4b2o2b2o$4bo4bo$3b3o2b3o$3b3o2b3o$3b8o!
c/6

Code: Select all

x = 14, y = 19, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
bobo6bobo$4b2o2b2o$3ob2o2b2ob3o$o12bo$b3o2b2o2b3o$2bo2b4o2bo$5b
4o$2o2bo4bo2b2o$3o8b3o$3o8b3o$4obo2bob4o$3obo4bob3o$3obob2obob3o
$2o2bob2obo2b2o$o5b2o5bo$2o2b6o2b2o$4b6o$2bo8bo$o12bo!
c/4

Code: Select all

x = 14, y = 13, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
ob2obo2bob2obo$bob8obo$2b3ob2ob3o$6b2o$5b4o2$3bo6bo$bo3bo2bo3bo
2$o12bo$4b2o2b2o$2bo2bo2bo2bo$3bobo2bobo!
:oops:
User avatar
R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

P16:

Code: Select all

x = 8, y = 6, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
5bo$4b3o$4bo$2b2o$b2o$2bo!
Two P8 variants:

Code: Select all

x = 19, y = 10, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
b6o4b8o$b6o4b8o$b5o5b7o$4bo11bo$6o6b6o$3o9b3o$4o8b4o$3o9b3o$3o9b3o$3o
9b3o!
P6:

Code: Select all

x = 7, y = 4, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
bo4bo$2o$3b3o$3bo!
A pattern that takes 445 generations to stabilize:

Code: Select all

x = 16, y = 16, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
2ob2o2bo4bo$o2b2o4bob3obo$bobo4bob3o2bo$2ob2ob4o2bo2bo$o5bo2bobo3bo$o
2bo2bo2bobob2o$2o3b4ob4obo$2b3obo3bob2o$obob2ob2ob4obo$o2bo3b2obo2bob
o$3b2ob3ob2ob2o$bo2b5o3bob2o$bo2bobo2bob2obo$2ob2ob4obobobo$o3b3o3bob
4o$obobo2b3o4b2o!
Some natural still lives:

Code: Select all

x = 40, y = 530, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
13b2o$13b2o$13b2o$13b2o$13b2o$13b2o2bo$13b2o$13b2o$13b2o$13b2o4$9b6o$
9b6o$13b2o$13b2o$9b6o2bo$9b6o3bo$9b2o$9b2o$9b6o$9b6o4$9b2o2b2o$9b2o2b
2o$9b2o2b2o$9b2o2b2o$9b6o2b2o3bo5bo$9b6o2b2o2bobo3bo$13b2o7bo4bo$13b2o
11bo$13b2o$13b2o4$9b6o$9b6o$9b2o15bo5bo$9b2o6b2o3bo4bo3bo$9b6o2b2o2bo
bo3bo3bo2bo$9b6o2b2o2bobo2bobo3b2o$9b2o2b2o7bo4bo$9b2o2b2o$9b6o$9b6o4$
9b6o$9b6o$9b2o2b2o$9b2o2b2o2b3o$9b6o2b3o$9b6o2b3o$13b2o$13b2o$13b2o$13b
2o4$4b2o3b6o$4b2o3b6o$4b2o3b2o2b2o7b2o$4b2o3b2o2b2o3b2o2b2o$4b2o3b2o2b
2o3b2o2b2o$4b2o3b2o2b2o2b3o2b2o$4b2o3b2o2b2o2b3o2b2o$4b2o3b2o2b2o$4b2o
3b6o$4b2o3b6o4$4b2o3b6o$4b2o3b6o$4b2o7b2o$4b2o7b2o2b3o3b4o$4b2o3b6o2b
3o3b4o$4b2o3b6o2b4o2b4o$4b2o3b2o8b2o$4b2o3b2o$4b2o3b6o$4b2o3b6o4$4b2o
3b6o$4b2o3b6o$4b2o7b2o$4b2o7b2o3b2o$4b2o3b6o3b2o$4b2o3b6o2b3o$4b2o7b2o
2b3o$4b2o7b2o2b3o$4b2o3b6o$4b2o3b6o4$4b2o3b2o2b2o$4b2o3b2o2b2o$4b2o3b
2o2b2o$4b2o3b2o2b2o2b4o$4b2o3b6o2b4o$4b2o3b6o2b4o$4b2o7b2o2b2o$4b2o7b
2o$4b2o7b2o$4b2o7b2o4$4b2o3b6o$4b2o3b6o$4b2o3b2o$4b2o3b2o$4b2o3b6o2b5o
$4b2o3b6o2b5o$4b2o7b2o2b5o$4b2o7b2o$4b2o3b6o$4b2o3b6o4$4b2o3b6o$4b2o3b
6o$4b2o3b2o$4b2o3b2o6b4o4b2o2b2o$4b2o3b6o2b4o2b4o2b5o$4b2o3b6o2b4o2b4o
2b5o$4b2o3b2o2b2o2b4o3b3o2b2o$4b2o3b2o2b2o9b3o2b2o$4b2o3b6o$4b2o3b6o4$
4b2o3b6o$4b2o3b6o$4b2o7b2o$4b2o7b2o2b4o2b2o$4b2o7b2o2b4o2b2o$4b2o7b2o
2b3o3b3o$4b2o7b2o2b3o4b4o$4b2o7b2o2b3o4b4o$4b2o7b2o9b2o$4b2o7b2o4$4b2o
3b6o$4b2o3b6o$4b2o3b2o2b2o$4b2o3b2o2b2o2b4o5b2o9b3o$4b2o3b6o2b4o2b5o2b
5o2b3o$4b2o3b6o2b4o2b5o2b5o2b3o$4b2o3b2o2b2o3b3o2b3o5b4o2b3o$4b2o3b2o
2b2o3b3o2b3o5b4o2b3o$4b2o3b6o22b3o$4b2o3b6o4$4b2o3b6o$4b2o3b6o$4b2o3b
2o2b2o12b4o$4b2o3b2o2b2o5b4o3b4o$4b2o3b6o2b7o2b5o$4b2o3b6o2b4o5b3o$4b
2o7b2o2b4o5b3o$4b2o7b2o$4b2o7b2o$4b2o7b2o4$6o3b6o$6o3b6o$4b2o3b2o2b2o
$4b2o3b2o2b2o2b5o$6o3b2o2b2o2b5o$6o3b2o2b2o2b5o$2o7b2o2b2o2b5o$2o7b2o
2b2o$6o3b6o$6o3b6o4$4b6o3b2o$4b6o3b2o$8b2o3b2o11b3o5b2o$8b2o3b2o2b6o3b
3o3b4o$4b6o3b2o2b6o3b3o3b4o$4b6o3b2o2b6o3b3o3b2o$4b2o7b2o2b3o6b3o2b3o
$4b2o7b2o10b4o2b3o$4b6o3b2o10b2o4b3o$4b6o3b2o4$6o3b6o$6o3b6o$4b2o7b2o
$4b2o7b2o3b5o2b6o$6o3b6o3b5o2b6o$6o3b6o2b6o2b6o$2o7b2o6b6o2b2o2b2o$2o
7b2o$6o3b6o$6o3b6o4$6o3b6o$6o3b6o$4b2o7b2o3b4o$4b2o7b2o3b4o$6o3b6o3b4o
$6o3b6o3b3o$2o11b2o2b4o$2o11b2o2b4o$6o3b6o$6o3b6o4$6o3b2o2b2o$6o3b2o2b
2o$4b2o3b2o2b2o3b3o$4b2o3b2o2b2o3b3o$6o3b6o3b3o$6o3b6o3b3o$2o11b2o2b4o
$2o11b2o2b4o$6o7b2o2b4o$6o7b2o4$6o3b6o$6o3b6o$4b2o3b2o$4b2o3b2o6b3o5b
6o$6o3b6o2b5o3b6o$6o3b6o2b5o3b6o$2o11b2o2b6o2b6o$2o11b2o2b6o4bo$6o3b6o
$6o3b6o4$6o3b6o$6o3b6o$4b2o3b2o7b4o4b4o$4b2o3b2o7b4o4b4o$6o3b6o2b6o3b
4o$6o3b6o2b6o4b3o$2o7b2o2b2o5b4o3b3o$2o7b2o2b2o7b2o2b4o$6o3b6o11b4o$6o
3b6o4$6o3b6o9b3o$6o3b6o2b5o2b3o$4b2o7b2o2b5o2b3o$4b2o7b2o2b5o2b3o$6o7b
2o4b3o2b3o$6o7b2o4b3o2b3o$2o11b2o4b3o2b3o$2o11b2o4b3o2b3o$6o7b2o9b3o$
6o7b2o4$6o3b6o$6o3b6o$4b2o3b2o2b2o12b4o4b5o$4b2o3b2o2b2o2b2o8b4o2b7o$
6o3b6o2b8o2b4o2b7o$6o3b6o2b8o2b4o2b3o$2o7b2o2b2o2b8o2b4o2b3o$2o7b2o2b
2o2b2o8b4o2b3o$6o3b6o12b4o$6o3b6o4$6o3b6o$6o3b6o$4b2o3b2o2b2o2b4o$4b2o
3b2o2b2o2b4o$6o3b2o2b2o2b4o$6o3b2o2b2o2b4o$4b2o3b2o2b2o2b4o$4b2o3b2o2b
2o2b5o$6o3b6o2b5o$6o3b6o4$4b6o3b2o$4b6o3b2o14b2o$8b2o3b2o2b7o2b5o$8b2o
3b2o2b7o2b4o$4b6o3b2o2b7o2b4o$4b6o3b2o2b4o5b4o$8b2o3b2o2b3o6b4o$8b2o3b
2o2b3o6b4o$4b6o3b2o11b4o$4b6o3b2o4$6o3b6o$6o3b6o$4b2o7b2o2b4o$4b2o7b2o
2b4o$6o3b6o2b6o$6o3b6o2b6o$4b2o3b2o9b3o$4b2o3b2o9b3o$6o3b6o5b3o$6o3b6o
5b3o4$6o3b6o$6o3b6o$4b2o3b2o6b2o7b3o$4b2o3b2o6b2o7b7o$6o3b6o2b2o2b3o2b
7o$6o3b6o2b7o2b2ob4o$4b2o7b2o2b7o5b4o$4b2o7b2o2b7o6b4o$6o3b6o4b5o6b4o
$6o3b6o4$6o3b6o$6o3b6o8b4o$4b2o3b2o12b4o$4b2o3b2o12b4o$6o3b6o8b4o$6o3b
6o5b2ob4o$4b2o3b2o2b2o5b7o$4b2o3b2o2b2o5b7o$6o3b6o$6o3b6o4$6o3b6o$6o3b
6o$4b2o7b2o2b6o$4b2o7b2o2b6o$6o7b2o2b6o$6o7b2o2b6o$4b2o7b2o2b6o$4b2o7b
2o2b6o$6o7b2o4bo$6o7b2o4$6o3b6o$6o3b6o$4b2o3b2o2b2o$4b2o3b2o2b2o9b2o$
6o3b6o4b7o$6o3b6o4b7o$4b2o3b2o2b2o2b10o$4b2o3b2o2b2o2b10o$6o3b6o2b2o$
6o3b6o4$6o3b6o$6o3b6o4b5o3b6o$4b2o3b2o2b2o4b5o3b6o$4b2o3b2o2b2o4b5o3b
6o$6o3b6o3b6o3b6o$6o3b6o3b6o3b6o$4b2o7b2o2b4o5b7o$4b2o7b2o2b4o5b2o$6o
7b2o2b4o$6o7b2o4$2o2b2o3b6o$2o2b2o3b6o$2o2b2o7b2o2b6o$2o2b2o7b2o2b6o$
6o3b6o2b6o$6o3b6o2b6o$4b2o3b2o6b6o$4b2o3b2o6b6o$4b2o3b6o2b6o$4b2o3b6o
4$2o2b2o3b6o$2o2b2o3b6o12b3o$2o2b2o7b2o12b3o$2o2b2o7b2o12b3o$6o7b2o7b
8o$6o7b2o2b12o$4b2o7b2o2b7o3b2o$4b2o7b2o2b7o3b2o$4b2o7b2o$4b2o7b2o4$2o
2b2o3b6o$2o2b2o3b6o$2o2b2o3b2o2b2o2b7o3b6o$2o2b2o3b2o2b2o2b7o3b6o$6o3b
6o2b7o3b8o$6o3b6o2b7o3b8o$4b2o7b2o2b7o3b7o$4b2o7b2o2b7o3b7o$4b2o7b2o2b
7o3b7o$4b2o7b2o4$4b6o3b2o$4b6o3b2o$4b2o7b2o2b8o$4b2o7b2o2b8o$4b6o3b2o
2b7o$4b6o3b2o2b7o$8b2o3b2o2b7o$8b2o3b2o2b7o$4b6o3b2o2b7o$4b6o3b2o4$6o
3b6o$6o3b6o2b7o$2o11b2o2b7o$2o11b2o2b7o$6o3b6o2b7o$6o3b6o2b7o$4b2o3b2o
6b7o$4b2o3b2o6b8o$6o3b6o8b2o$6o3b6o4$6o3b6o$6o3b6o5b4o$2o11b2o2b7o$2o
11b2o2b7o$6o3b6o2b7o$6o3b6o2b7o$4b2o7b2o2b7o$4b2o7b2o2b7o$6o3b6o2b7o$
6o3b6o4$6o3b6o$6o3b6o2b3o6b7o$2o7b2o6b3o6b7o$2o7b2o6b7o2b7o$6o3b6o2b7o
2b7o$6o3b6o2b7o2b7o$4b2o7b2o2b7o2b8o$4b2o7b2o2b7o2b8o$6o3b6o2b7o6b4o$
6o3b6o2b7o4$6o3b6o7b3o$6o3b6o7b3o$2o7b2o6b8o$2o7b2o6b7o$6o3b6o2b7o$6o
3b6o2b7o$4b2o3b2o2b2o2b7o$4b2o3b2o2b2o2b7o$6o3b6o2b7o$6o3b6o3$24b3o$6o
3b6o7b5o$6o3b6o7b5o$2o7b2o2b2o7b5o$2o7b2o2b2o7b5o$6o3b2o2b2o7b5o$6o3b
2o2b2o7b5o$2o2b2o3b2o2b2o2b4ob5o$2o2b2o3b2o2b2o2b8o$6o3b6o2b8o$6o3b6o
5b2o4$6o3b6o$6o3b6o8b5o$2o11b2o8b5o2b7o$2o11b2o2b4o2b5o2b7o$6o3b6o2b4o
2b5o2b7o$6o3b6o2b3o3b2o5b10o$2o2b2o7b2o2b3o2b3o5b10o$2o2b2o7b2o2b8o5b
10o$6o3b6o2b8o5b10o$6o3b6o2b8o13b2o!
EDIT: Some patterns in Starflakes:
P4:

Code: Select all

x = 1, y = 7, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
o$o$o2$o$o$o!
Two stars touching each other:

Code: Select all

x = 7, y = 4, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
4b3o$3obobo$obob3o$3o!
P8:

Code: Select all

x = 7, y = 3, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
2obob2o$o5bo$2obob2o!
Interesting chaos:

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x = 4, y = 4, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
3o$2obo$b3o$2b2o!
A larger P2:

Code: Select all

x = 7, y = 5, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
4b2o$bo2bobo$bo$bo2bobo$4b2o!
3 ships to 2 ships:

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x = 11, y = 6, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
obo$bo2$5bo4bo$4bo4bo$5bo4bo!
3 ships to mess and 1 ship:

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x = 12, y = 8, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
6bobo$7bo2$o$bo$o10bo$10bo$11bo!

Code: Select all

x = 113, y = 97, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
70bo$70bo$69bobo$69b3o8$73bo$72bobo$73bo$66bo6bo$67bo$61b2o$61b2o8$66b
o$60bo4bo$59bo$79b3o$79bobo$79b3o8$63bo$63bo$63bo$76b2o$76b2o3$32bo$31b
3o$32b3o$33bo$36bo$37bo$80b3o$80bobo$80b3o5$64bo$63bo3$33b2o12b2o3bo35b
o3b2o$33b2o12b2o2bo16bo6b2o12bo2b2o$67bo7b2o4$o$bo$o3$18bo56bo$76bo$18b
o$24b3o$24bobo8b3o$24b3o13$90b2o$90b2o2$112bo$111bo$112bo!
One-time 180* reflector and rotator:

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x = 41, y = 6, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
38b3o2$o8bobo$bo27bo$o29bo$29bo!
I am currently looking for an over-unity reaction (a reaction that produces more spaceships than it costs).

EDIT2: Extremely dirty 6 ships to 9 ships:

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x = 306, y = 71, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
160bo$160bo$159b3o6$142bo$142bo105bo$141bobo103b3o$141b3o104b3o$249bo
$252bo$141bo111bo$141bo$141bo2$137bobo20bobo104bo$268bo2$285b2o$285b2o
$244b2o$137b3o104b2o57bo$145bo157b3o$145bo103b2o52bo$143b2ob2o101b2o$
145bo$145bo13b2o$158bobo$158b2o6$234bo2$234bo$240b3o$240bobo8b3o$240b
3o6$58bo$57bobo$58bo$58bo3$56bobo$6bobo58bo$7bo46bo13bo12bo$54bo7bobo
16b3o$o53bo26bo$bo$o10bo61bo$10bo62bo$11bo42bo16b2ob2o$73bo$54bo18bo2$
61bo$60bo2$66bo$67bo!
Massively dirty 7 ships to 13 ships:

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x = 95, y = 97, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
52bo$52bo$51bobo$51b3o8$55bo$54bobo$55bo$48bo6bo$49bo$43b2o$43b2o8$48b
o$42bo4bo$41bo$61b3o$61bobo$61b3o8$45bo$45bo$45bo$58b2o$58b2o3$14bo$13b
3o$14b3o$15bo$18bo$19bo$62b3o$62bobo$62b3o5$46bo$45bo3$15b2o12b2o3bo35b
o3b2o$15b2o12b2o2bo16bo6b2o12bo2b2o$49bo7b2o9$o56bo$58bo$o$6b3o$6bobo
8b3o$6b3o13$72b2o$72b2o2$94bo$93bo$94bo!
Even dirtier 8 ships to 19 ships:

Code: Select all

x = 113, y = 97, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
70bo$70bo$69bobo$69b3o8$73bo$72bobo$73bo$66bo6bo$67bo$61b2o$61b2o8$66b
o$60bo4bo$59bo$79b3o$79bobo$79b3o8$63bo$63bo$63bo$76b2o$76b2o3$32bo$31b
3o$32b3o$33bo$36bo$37bo$80b3o$80bobo$80b3o5$64bo$63bo3$33b2o12b2o3bo35b
o3b2o$33b2o12b2o2bo16bo6b2o12bo2b2o$67bo7b2o4$o$bo$o3$18bo56bo$76bo$18b
o$24b3o$24bobo8b3o$24b3o13$90b2o$90b2o2$112bo$111bo$112bo!
EDIT3: 4T to 3T + 49 cells of junk (I propose the spaceship be named T):

Code: Select all

x = 33, y = 16, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
32bo$31bo$32bo6$obo3bo$bo4b3o$6bo3$21bo$21b3o$21bo!
4T to 3T + 21 cells of junk:

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x = 47, y = 13, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
46bo$45bo$46bo3$obo3bo$bo4b3o$6bo3$21bo$21b3o$21bo!
4T to 3T + 19 cells of junk:

Code: Select all

x = 34, y = 17, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
33bo$32bo$33bo7$obo3bo$bo4b3o$6bo3$21bo$21b3o$21bo!
I still have more reactions to check. . .

EDIT4: 4T to 4T + checkerboard (2 cells of junk):

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x = 54, y = 11, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
53bo$52bo$53bo$obo3bo$bo4b3o$6bo3$21bo$21b3o$21bo!
4T to 3T with 12 cells of junk (2 blocks and 2 checkerboards):

Code: Select all

x = 56, y = 15, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
obo3bo$bo4b3o$6bo3$21bo$21b3o$21bo5$55bo$54bo$55bo!
4T to 3T with 2 checkerboards (4 cells) of junk:

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x = 58, y = 8, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
obo3bo$bo4b3o$6bo50bo$56bo$57bo$21bo$21b3o$21bo!
4T to 5T with a large mess:

Code: Select all

x = 57, y = 9, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
obo3bo$bo4b3o$6bo3$21bo$21b3o32bo$21bo33bo$56bo!
I am only about 10% done with checking the reactions. . .

EDIT5: Unposted 4T to 6T:

Code: Select all

x = 63, y = 12, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
62bo$61bo$62bo2$obo3bo$bo4b3o$6bo3$19bo$19b3o$19bo!
It is slightly dirtier than the 4T to 5T. The 4T to 6T's minpop is 56, while the original 4T to 5T's minpop is 35.

Some cleaner 4T to 5Ts:
26 cells:

Code: Select all

x = 65, y = 9, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
obo3bo$bo4b3o$6bo3$19bo$19b3o42bo$19bo43bo$64bo!
16 cells:

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x = 77, y = 14, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
obo3bo$bo4b3o$6bo3$19bo$19b3o$19bo4$76bo$75bo$76bo!
10 cells:

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x = 106, y = 17, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
obo3bo$bo4b3o$6bo3$19bo$19b3o$19bo7$105bo$104bo$105bo!
EDIT6: Some more stages of an overunity reaction:
Extension to 7T to 9T:

Code: Select all

x = 21, y = 126, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
bo$bo$3o103$15bo$14bo13$18bo$18b3o$18bo2$4b2o$4b2o8b2o$14b2o!
Unfortunately, there is a spaceship collision that costs another spaceship. This means that it is a 10T to 10T, and therefore we need to somehow optimize the reaction further. It is also really long.

To move the interfering T, we can use this collision:

Code: Select all

x = 8, y = 5, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
5bobo$6bo$o$bo$o!
Finished candidate with a clean 10T to 12T:

Code: Select all

x = 31, y = 25, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
b2o$b2o8$5b2o23bo$29bo$5b2o23bo5$7bo$6bo5$bo5b3o$obo5bo$8bo!
Some alternative extensions:
7T to 9T:

Code: Select all

x = 17, y = 126, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
3bo$3bo$2b3o103$11bo$10bo13$14bo$14b3o$14bo2$2o$2o8b2o$10b2o!
Faster and cleaner 7T to 9T:

Code: Select all

x = 17, y = 126, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
4bo$4bo$3b3o103$11bo$10bo13$14bo$14b3o$14bo2$2o$2o8b2o$10b2o!
7T to 10T:

Code: Select all

x = 17, y = 126, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
6bo$6bo$5b3o103$11bo$10bo13$14bo$14b3o$14bo2$2o$2o8b2o$10b2o!
Easier 7T to 10T:

Code: Select all

x = 17, y = 93, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
10bo$10bo$9b3o70$11bo$10bo13$14bo$14b3o$14bo2$2o$2o8b2o$10b2o!
7T to 10T that results in sparse junk:

Code: Select all

x = 22, y = 127, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
20bo$20bo$19b3o104$11bo$10bo13$14bo$14b3o$14bo2$2o$2o8b2o$10b2o!
7T to 9T where the last 4T travel downwards:

Code: Select all

x = 37, y = 128, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
bo$bo$3o105$31bo$30bo13$34bo$34b3o$34bo2$20b2o$20b2o8b2o$30b2o!
7T to 10T with 8 cells of junk:

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x = 24, y = 128, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
22bo$22bo$21b3o105$11bo$10bo13$14bo$14b3o$14bo2$2o$2o8b2o$10b2o!
7T to 11T with a large junk cloud in the northwest:

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x = 20, y = 129, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
bo$bo$3o106$14bo$13bo13$17bo$17b3o$17bo2$3b2o$3b2o8b2o$13b2o!
7T to 12T with 14 cells of junk:

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x = 17, y = 131, rule = B2cei3eiy4cikqtw5aciqr6ei7e/S2ack3-cejr4inqwyz5-k6aik78
9bo$9bo$8b3o108$11bo$10bo13$14bo$14b3o$14bo2$2o$2o8b2o$10b2o!
EDIT: P38 in City Blocks:

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x = 8, y = 10, rule = B2cik3aekqr4jqrtz5ci8/S01c2cek3aijqy4ajkn5aei6-ek78
8o$8o$2o4b2o$2o2bob2o$2ob5o$2obo2b2o$2o4b2o$2o4b2o$8o$8o!
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
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R2INT
Posts: 900
Joined: July 2nd, 2024, 7:42 pm

Re: R2INT's Rule Collection

Post by R2INT »

Sorry for the double post, but this is something not related to finding interesting reactions in my existing rules. It is a new rule I made:
R2INT wrote: August 6th, 2024, 4:23 pm I decided to make my own CA with lots of spaceships:

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x = 61, y = 6, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k
2b2o9b3o19bo12b3o7b3o$bobo9bo19bo3bo20bo$o12bobo33bo10bo$2o57bo2$5bo!
From left to right: Q (5c/42d), X (c/3d), W (c/2o), T (2c/6o), and G (c/10o)

The oscillator collection in this rule isn't anything remarkable:

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x = 61, y = 82, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k
58bobo$bo10bo3bob2o38bobo$2bo2bobo2bo6b2obo37bobo$10b2o46bobo$58bobo$
58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$bo56bo
bo$3bo54bobo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$
58bobo$58bobo$bobo54bobo$bobo54bobo$bobo54bobo$58bobo$58bobo$58bobo$58b
obo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$o8bobo46bobo$2bo6bobo46b
obo$9bobo46bobo$bo7bobo46bobo$3bo5bobo46bobo$58bobo$58bobo$58bobo$58b
obo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$58bobo$bobo54bob
o$bobo54bobo$bobo54bobo$bobo54bobo$bobo54bobo$bobo54bobo$bobo54bobo$58b
obo$58bobo$58bobo$58bobo$bobo54bobo$bobo54bobo$bobo54bobo$bobo54bobo$
bobo54bobo$bobo54bobo$bobo54bobo$bobo54bobo$bobo$bobo$bobo$bobo$bobo$
bobo$bobo!
This rule is right on the edge of being explosive:

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#R B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k
!
#C [[ RANDWIDTH 512 RANDHEIGHT 512 RANDOMIZE ]] 
I call this rule 'Asteroids' because over hundreds of thousands of generations, large soups will construct smaller ash clouds.
The engineering potential of this rule seems pretty high. Here are some interesting reactions:

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x = 28, y = 84, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k
25bobo$25bobo2$25b3o$26bo3$21bobo$21bobo2$21b3o$22bo3$17bobo$17bobo2$
17b3o$18bo3$13bobo$13bobo2$13b3o$14bo3$9bobo$9bobo2$9b3o$10bo3$8bo12$
6bo12$4bo12$2bo12$o!

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x = 5, y = 6, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k
o3bo$2bo4$o!
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
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