Crazy Life-like Rules I Found

[iconmaster]

DotLife - 023/3

This rule is almost exactly like Life, but with single dots being able to survive. Most guns and similar thing don't work in this rule. Oddly, this rule will act like an exploding rule when using soup.

EightLife - 238/3

Again, similar to Life, But pulsars and this 12-cell still live are more common than in LIfe:

[Extrementhusiast]

I have made one very similar to yours and one very different from yours: B3/S2378 and B34678/S125. Pattern collection for second rule:

Code: Select all

x=314,y=142,rule=B34678/S125
84bobo24bo6bo$83bo3bo22b3o4b3o$111bobo2bobo$83bo28b2o2b2o$83bo9bo18bob
2obo$92bo14bo2b3o4b3o2bo$83bo3bo3bo18b2o2b2o2b2o$84bobo3bo16bob3ob4ob
3obo$89bo18b4o6b4o$88bo3bobo13bo2bo6bo2bo$87bo3bo3bo13bo10bo$86bo22bo
10bo$95bo12b3o8b3o$94bo13b2o10b2o$93bo15b2o8b2o$92bo15bob2o2b2o2b2obo$
91bo18bo3b2o3bo$109bobo6bobo$60b4o27bo18bobob2obobo$92bob2o16bo4bo2$
41bobo18bo$40bo3bo18b2obo$61bobo$40bo20b4o2bo$40bo9bo11bob3o$49bo11bo$
40bo3bo3bo12bo3bo$41bobo3bo14b2o2bo$46bo16b2obo$45bo18bo$44bo3b2obo11b
2o$43bo8bo9b2o2$52bo7bo6bo$51bo10b4o$61bob2obo166bo15bo15bo$51bo8bo6bo
166bo15bo15bo$52bo9b4o169bo15bo15bo$236bo15bo15bo$52bo116bobo65bo15bo
15bo$48b2obo116bo3bo65bo15bo15bo$239bo15bo15bo$168bo9b2o4bo2bo52bo15bo
15bo$169bo7bo2bo3bo3bo52bo15bo15bo$170bo7b2o62bo15bo15bo$bobo167bo44b
2o25bo15bo15bo$o3bo167bo71bo15bo15bo$214bo30bo15bo15bo$o167bo3bo6bo34b
o31bo15bo15bo$o9bo158bobo8bo66bo15bo15bo$9bo171bo34b2o30bo15bo15bo$o3b
o3bo11b2o3b3o3b2o149bo66bo15bo15bo$bobo3bo14bo7bo152bo30bo35bo15bo15bo
$6bo14b3o5b3o152bo29bo36bo15bo15bo$5bo3bo4bo5bo2bo5bo2bo152bo66bo15bo
15bo$4bo4bo4bo5b3o2bobo2b3o153bo66bo15bo15bo$3bo18bobobobobo156bo66bo
15bo15bo$11b2o10bobobobo158bo66bo15bo15bo$22bo2b3o2bo158bo66bo15bo15bo
$14bo242bo15bo15bo$14bo10b3o230bo15bo15bo$24bo3bo230bo15bo15bo$23bob3o
bo230bo15bo15bo$23b2o3b2o231bo15bo15bo$24b2ob2o124b2obo105bo15bo15bo$
157bo105bo15bo15bo$25bobo236bo15bo15bo$157bo107bo15bo15bo$156bo109bo
15bo15bo$267bo15bo15bo$156bo111bo15bo15bo$157bo111bo15bo15bo$270bo15bo
15bo$157bo113bo15bo15bo$153b2obo115bo15bo15bo$273bo15bo15bo$274bo15bo
15bo$275bo15bo15bo$276bo15bo15bo$152bo3bo120b2o14b4o12b5o$153b2o2bo
119bo15bo15bo$153bo139bo15bo$156bo136bo15bo$152bo2b2o152bo$153bo3bo$
177bo4bo$177bo4bo2$179b2o31b2o2$182bo27bo4bo$182bo27bo4bo2$212b2o2$
183bo6bo19bo4bo$182bo5b2o20bo4bo$180bo8bo$181bo5bo24b2o$179bo6bo$178bo
4$211bo2bo$210bob2obo$211bo2bo$211bo2bo$210bob2obo$211bo2bo4$192bobo$
191bo3bo2$195bo$194bo$193bo$192bo$191bo2$164b2o25bo$192bob2o$154bo4bo
2bo4bo$154bo4bo2bo4bo2$156b2o6b2o37bo$203bo9bo8bo14bo$159bo2bo4bo24bo
9bobo17bo14bo$159bo2bo4bo24bo8bo3bo6b3o6bobo4b4o4bob2o$190b2ob2o4b2o2b
o2b2o2bob3obo2b2obob2o2b4o2b2obo$164b2o26bo8bo3bo6b3o6bobo12bo$192bo9b
obo17bo13bo$203bo9bo8bo$203bo2$158b2o$159bo2$157b2o!

This includes a period 48 oscillator. All stationary patterns were discovered by me.

[Lewis]

Another interesting rule with survival on 0 is B35/S024. I ran a census on it a while ago and turned up quite a few oscillators and a rare spaceship.

Code: Select all

x = 74, y = 54, rule = 024/35
59b2o$27b2o4b2o4bobo2b2ob2o2b2o7bo$6b2o3bo3bo4bo5bo2bo2bo2bo2b
ob2o3bobo3bo8b2o$o3bo2bo2bobo2b3o4bo2bo2bo3bo2bo3bo5b2obo4bo4b
ob2o$4b2o5bo5bo3b2o3b2o5b2o3b2o7bo7bo4bo$47b2o5b2o2bo3bo6$10b
o5bo3bo$obo2bo17bo$bo3bo2bobobo2b3o4b2o$obo2bo9bobo3b2o$10bo5b
o7bo5$39bo12b2o18b2o$2b2o34b3o13bo16bo$2b2o5b2o4bo4b2o4b2o2bo
bo4bo3bo5bo5bo8bobo7bo$2b2o4bo6b2o3b2o3b2o3b2o4b2o3b2o3bobo3b
o3bo7bo3bo3bo$2b2o4bobo4bo4bo5bo4bo5bo3bo4b2o5bo6bo2b2o7bo$2b
2o34b3o13bo7bo8bo$2b2o35bo12b2o6b3o9b2o4$2b2o$2b2o$bobo$b2o$b
2o3$24bo$3b2o$3bo19b2o$2b2o6b2o2b2o9bo$8b3o4b3o7bo$b2o7b2o2b2o
9bo$bo21b2o$2o$24bo4$6bo$bobob2o2$2b2obobo$2bo!

[iconmaster]

UPDATE! I have found a unique c/2 spaceship in DotLife:

[calcyman]

There are some more DotLife spaceships, including yours, here:

http://fano.ics.uci.edu/ca/rules/b3s023/


Artyom Dergachov has also discovered some patterns in this rule (2006):


For example, consider this 2c/5 puffer:

Code: Select all

x = 88, y = 15, rule = B3/S023
21bo40boobbo18bo$19b3o15boo6bo4b3obb3o4b6o16bobo$13bo4bo4boo6bobobb4ob
o12bobboo7b3o11boboo3bo$o3bo3bo3bobo4bobb3o6bobo3bo4bo5boo3bobobobob5o
3bo9bo5bobo$11bo7b3obo4bo5booboo3b6o6bobo3b3obo4boo12bobboo$o3bo4boobo
boo4bo7bo5b3o3bo4boobbob3obbo13bo7bo4bo$9b7o4bobb3obbo5boo16b3o5b5o3bo
3bobbobb4oboo$12bobbo10bobbo26bo7bo9boo6b3o$9b7o4bobb3obbo5boo16b3o5b
5o3bo3bobbobb4oboo$o3bo4booboboo4bo7bo5b3o3bo4boobbob3obbo13bo7bo4bo$
11bo7b3obo4bo5booboo3b6o6bobo3b3obo4boo12bobboo$o3bo3bo3bobo4bobb3o6bo
bo3bo4bo5boo3bobobobob5o3bo9bo5bobo$13bo4bo4boo6bobobb4obo12bobboo7b3o
11boboo3bo$19b3o15boo6bo4b3obb3o4b6o16bobo$21bo40boobbo18bo!

He has a collection of patterns at:


http://www.cranemtn.com/life/files/b3s023_raw.zip


which includes a microscopic c/3 spaceship:

Code: Select all

.*..*.*..*.
*..**.**..*
.***...***.

and c/4 spaceship:

Code: Select all

**.**
*...*
.....
..*..
.....
.***.
.***.
..*..

[MadMan]

Just want to let you know: these DotLife patterns will NOT work in regular Life. So, don't go HURRAH !

[Tropylium]

I did a "census" of near-Life rules recently. Generally, any rule with S0, S7 or B7 added will explode, though sometimes very slowly (B378/S23 is the slowest I think). B8 and S8 have no drastic general effect. (B5 and B6, while they wreck up a lot of patterns, interestingly do not suffice to turn a rule into exploding, unlike B7. It seems these simply make the pattern choke on overpopulation, whereas B7 rather adds a small but crucial boost to the birth rate around overpopulated zones that in regular Life would die off completely.)

An interesting difference in "flavor" in these rules is the behavior of B-heptominoes. In a few of these, such as B38/S023, the engine is stable and soups tend to develop long "arms" that continuously sprout new ones. In others, the engine fails even faster than in regular Life. In yet others, it will initially seem stable, but abort after a long while; DotLife is one of these rules. Possibly a stabilization exists — I know one does in at least B3/S0238. (Stabilization as a puffer, that is; I'm not talking about the small B-based spaceship that occurs naturally.)

I'd have to say the most interesting discovery was B38/S2378 however, where the pi heptomino turns out to be a replicator…

[Macbi]

I'd have to say the most interesting discovery was B38/S2378 however, where the pi heptomino turns out to be a replicator…

Beautiful!

[ebcube]

There's this little (4,4)c/50 puffer in B35/S023:

Code: Select all

x = 13, y = 8, rule = B35/S023
3$7bo$5b2ob2o$bo3bo2bo$6b2o$2bo!

EDIT: And I found this 2c/6 orthogonal ship gliding through B356/S1267:

Code: Select all

x = 3, y = 4, rule = B356/S1267
o$obo$o$obo!

EDIT: Aaaand this blinker puffer in B356/S23:

Code: Select all

x = 17, y = 10, rule = B356/S23
5b2o$4bo2bo$3b2o$2b3o2bo5bo$b5o6bobo$3bo8bob2o$12b2obo$12bo$14bo$13bo!

EDIT: Aaaaaaand this c/2 orthogonal ship in B38/S023:

Code: Select all

x = 13, y = 6, rule = B38/S023
4b2o$2bo2bo$2o4bo5bo$o4bo6bo$o4bo5bo$bo2bo!

EDIT: Aaaaaaaaaaand this 8c/48 (read: c/6) diagonal ship that appeared naturally on B368/S238, which is a stabilization with a blinker of a diagonal replicator:

Code: Select all

x = 32, y = 9, rule = B368/S238
2b3o20b3o$bo2bo13b3o3bo2bo$o3bo18bo3bo$o2bo19bo2bo$3o3b3o14b3o3b3o$5bo
2bo19bo2bo$4bo3bo18bo3bo$4bo2bo19bo2bo$4b3o20b3o!

And this beautiful p20 oscillator, which is not relevant at all, but I like how it looks:

Code: Select all

x = 12, y = 12, rule = B368/S238
5b2o$3bo$5bo$bobobo2$ob2o7bo$o7b2obo2$6bobobo$6bo$8bo$5b2o!