Rules Supporting Specific Smallest Still Life

For discussion of other cellular automata.
Post Reply
User avatar
yujh
Posts: 3153
Joined: February 27th, 2020, 11:23 pm
Location: I'm not sure where I am, so please tell me if you know
Contact:

Rules Supporting Specific Smallest Still Life

Post by yujh »

The rules supporting smallest still lives that exist in that rule(of each size, the bigger, the better)(no B0!)

1:B/S0:

Code: Select all

x = 1, y = 1, rule = B/S0
o!
2:B/S1:

Code: Select all

x = 2, y = 1, rule = B/S1
2o!
3:B/S2ae:

Code: Select all

x = 2, y = 2, rule = B/S2ae
2o$o!
4:B/S3a:

Code: Select all

x = 2, y = 2, rule = B/S3a
2o$2o!
5:

Code: Select all

x = 3, y = 3, rule = B4e/S2ce3n
2o$obo$bo!
6:

Code: Select all

x = 3, y = 3, rule = B/S2e3n
2o$obo$b2o!
7:

Code: Select all

x = 3, y = 3, rule = B6n/S2e3n4i
3o$obo$b2o!
8:

Code: Select all

x = 4, y = 4, rule = B/S2k
b2o$o2bo$o2bo$b2o!
9:

Code: Select all

 x = 4, y = 4, rule = B4w/S2k3jn4w
b2o$o2bo$ob2o$b2o!
10:

Code: Select all

 x = 4, y = 4, rule = B/S3jn5k
b2o$ob2o$2obo$b2o!
11:

Code: Select all

 x = 4, y = 4, rule = B/S3jn4a6kn
b2o$ob2o$4o$b2o!
12:

Code: Select all

x = 4, y = 4, rule = B/S4a7
b2ob$4o$4o$b2ob!
13:

Code: Select all

 x = 5, y = 5, rule = B1e3a/S02ae
2ob2o$o3bo$2bo$o3bo$2ob2o!
14:

Code: Select all

 x = 5, y = 5, rule = B1e3a6n/S2ace3n
2ob2o$obobo2$obobo$2ob2o!
15:

Code: Select all

 x = 5, y = 5, rule = B1e3a6n/S2aei3ny
2ob2o$obobo$2bo$obobo$2ob2o!
16:

Code: Select all

 x = 7, y = 5, rule = B1e3a6n/S1c2ae3n
2o3b2o$obobobo2$obobobo$2o3b2o!
28:

Code: Select all

x = 8, y = 10, rule = B2eik3air4a6i/S1c2-in5n
2bo2bo$3b2o$2o4b2o$o2b2o2bo$2bo2bo$2bo2bo$o2b2o2bo$2o4b2o$3b2o$2bo2bo!
76?:(pls vertify)

Code: Select all

x = 18, y = 14, rule = B2-ac3aeir4aw6n7c8/S1c2-in5n6n
3b2o2bo2bo2b2o$3bo4b2o4bo$bo3b2o4b2o3bo$2bobo2bo2bo2bobo$2bobobo4bobob
o$o2bo2bo4bo2bo2bo$bo3bo6bo3bo$bo3bo6bo3bo$o2bo2bo4bo2bo2bo$2bobobo4bo
bobo$2bobo2bo2bo2bobo$bo3b2o4b2o3bo$3bo4b2o4bo$3b2o2bo2bo2b2o!
96:

Code: Select all

 x = 16, y = 16, rule = B3-jk/S3-a
5b2o2b2o$3b2ob4ob2o$2bobo6bobo$bobo2b4o2bobo$b2o2b2o2b2o2b2o$o3bo6bo3b
o$2ob2o6b2ob2o$bobo8bobo$bobo8bobo$2ob2o6b2ob2o$o3bo6bo3bo$b2o2b2o2b2o
2b2o$bobo2b4o2bobo$2bobo6bobo$3b2ob4ob2o$5b2o2b2o!
Last edited by yujh on January 2nd, 2021, 7:41 pm, edited 4 times in total.
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
User avatar
Macbi
Posts: 917
Joined: March 29th, 2009, 4:58 am
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by Macbi »

What are the rules here?
gooddogtyson
Posts: 33
Joined: September 11th, 2019, 7:17 pm

Re: Rules Supporting Specific Smallest Still Life

Post by gooddogtyson »

Is this measured by the size of the rule or the size of the still life? or something else entirely?
User avatar
Hdjensofjfnen
Posts: 1766
Joined: March 15th, 2016, 6:41 pm
Location: Pacific Time

Re: Rules Supporting Specific Smallest Still Life

Post by Hdjensofjfnen »

gooddogtyson wrote: December 29th, 2020, 4:06 pm Is this measured by the size of the rule or the size of the still life? or something else entirely?
I think the size of the smallest possible still life in that rule?
User avatar
yujh
Posts: 3153
Joined: February 27th, 2020, 11:23 pm
Location: I'm not sure where I am, so please tell me if you know
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by yujh »

Hdjensofjfnen wrote: December 29th, 2020, 4:59 pm
gooddogtyson wrote: December 29th, 2020, 4:06 pm Is this measured by the size of the rule or the size of the still life? or something else entirely?
I think the size of the smallest possible still life in that rule?
Yes e.g. in cgol it’s 4 and in 2x2 it’s 2.
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
gooddogtyson
Posts: 33
Joined: September 11th, 2019, 7:17 pm

Re: Rules Supporting Specific Smallest Still Life

Post by gooddogtyson »

Hdjensofjfnen wrote: December 29th, 2020, 4:59 pm
gooddogtyson wrote: December 29th, 2020, 4:06 pm Is this measured by the size of the rule or the size of the still life? or something else entirely?
I think the size of the smallest possible still life in that rule?
OHHHH i think i get it now

so something like this would be 7? :

Code: Select all

x = 3, y = 3, rule = B6n/S2e3n4i
3o$obo$b2o!
Hunting
Posts: 4401
Joined: September 11th, 2017, 2:54 am

Re: Rules Supporting Specific Smallest Still Life

Post by Hunting »

12:

Code: Select all

x = 4, y = 4, rule = B/S4a7
b2ob$4o$4o$b2ob!
User avatar
FWKnightship
Posts: 1699
Joined: June 23rd, 2019, 3:10 am
Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: Rules Supporting Specific Smallest Still Life

Post by FWKnightship »

8:

Code: Select all

x = 4, y = 4, rule = B/S2k
b2o$o2bo$o2bo$b2o!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
Hunting
Posts: 4401
Joined: September 11th, 2017, 2:54 am

Re: Rules Supporting Specific Smallest Still Life

Post by Hunting »

FWKnightship wrote: December 31st, 2020, 12:24 am 8:

Code: Select all

x = 4, y = 4, rule = B/S2k
b2o$o2bo$o2bo$b2o!
Ah, that one's obvious. I planned to post it here but don't have that much time so I decided to put something more non-trivial.
fluffykitty
Posts: 1178
Joined: June 14th, 2014, 5:03 pm
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by fluffykitty »

There's an error on the first post and I think this is 9:

Code: Select all

x = 4, y = 4, rule = B4w/S2k3jn4w
b2o$o2bo$ob2o$b2o!
User avatar
toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by toroidalet »

10:

Code: Select all

x = 4, y = 4, rule = B/S3jn5k
b2o$ob2o$2obo$b2o!
11:

Code: Select all

x = 4, y = 4, rule = B/S3jn4a6kn
b2o$ob2o$4o$b2o!
13:

Code: Select all

x = 5, y = 5, rule = B1e3a/S02ae
2ob2o$o3bo$2bo$o3bo$2ob2o!
14 (I think):

Code: Select all

x = 5, y = 5, rule = B1e3a6n/S2ace3n
2ob2o$obobo2$obobo$2ob2o!
15:

Code: Select all

x = 5, y = 5, rule = B1e3a6n/S2aei3ny
2ob2o$obobo$2bo$obobo$2ob2o!
16:

Code: Select all

x = 7, y = 5, rule = B1e3a6n/S1c2ae3n
2o3b2o$obobobo2$obobobo$2o3b2o!
On the higher side, here's 96:

Code: Select all

x = 16, y = 16, rule = B3-jk/S3-a
5b2o2b2o$3b2ob4ob2o$2bobo6bobo$bobo2b4o2bobo$b2o2b2o2b2o2b2o$o3bo6bo3b
o$2ob2o6b2ob2o$bobo8bobo$bobo8bobo$2ob2o6b2ob2o$o3bo6bo3bo$b2o2b2o2b2o
2b2o$bobo2b4o2bobo$2bobo6bobo$3b2ob4ob2o$5b2o2b2o!
I'm currently searching with LLS for the smallest still life in B3-jk5c/S3-a; the current lowest is 162 (EDIT2: 142):

Code: Select all

x = 18, y = 22, rule = B3-jk5c/S3-a
6b2o2b2o$4b2ob4ob2o$3bobo6bobo$3b2o2b4o2b2o$2bo3b2o2b2o3bo$2b2obo6b4o$
bo2b2o6bo3bo$b2o3bo6b4o$o2b3obo5bo3bo$2obo2bobo5bob2o$bobo3bobo3b2obo$
bob2o3bobo3bobo$2obo5bobo2bob2o$o3bo5bob3o2bo$b4o6bo3b2o$bo3bo6bo3bo$
2b4o6b4o$2bo3b2o2b2o3bo$3b2o2b4o2b2o$3bobo6bobo$4b2ob4ob2o$6b2o2b2o!
It's definitely possible to make even larger minimum still lives by further adding birth and removing survival conditions.
Any sufficiently advanced software is indistinguishable from malice.
User avatar
yujh
Posts: 3153
Joined: February 27th, 2020, 11:23 pm
Location: I'm not sure where I am, so please tell me if you know
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by yujh »

GJ everyone!
172?

Code: Select all

x = 26, y = 20, rule = B3-jk4e5c/S3-a
......oo..oo..............$
....oo.oooo.oo............$
..oo.o......o.oo..........$
.o.o.o.ooooo..o.oo........$
.oo..oo.o..o..o.o.oo......$
o...o.......oo.o..o.oo....$
oo.oo.......o..o..o.o.oo..$
.o.o.......o..oo.oo.o.o.o.$
.o.o.......ooo..o..oo..oo.$
oo.oo.....o...oo.....o...o$
o...o.....oo...o.....oo.oo$
.oo..oo..o..ooo.......o.o.$
.o.o.o.oo.oo..o.......o.o.$
..oo.o.o..o..o.......oo.oo$
....oo.o..o.oo.......o...o$
......oo.o.o..o..o.oo..oo.$
........oo.o..ooooo.o.o.o.$
..........oo.o......o.oo..$
............oo.oooo.oo....$
..............oo..oo......!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
User avatar
toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by toroidalet »

The old 160-cell still life works with B4e too:

Code: Select all

x = 27, y = 27, rule = B3-jk4e5c/S3-a
bbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbboobboobbbbbbbbbbbb$
bbbbbbboobooooboobbbbbbbbbb$
bbbbbbobobbbbbbobobbbbbbbbb$
bbbbbboobboooobboobbbbbbbbb$
bbbbbobbboobboobbbobbbbbbbb$
bbbbboooobbbbbboooobbbbbbbb$
bbbbobbbobbbbbbobbbobbbbbbb$
bbbboooobbbbbbobbboobbbbbbb$
bbbobbbobbbbbboobbobbbbbbbb$
bbboobobbbbboobbobobbbbbbbb$
bbobboobbboobobooboobbbbbbb$
bboobbbobobobobbobbobbbbbbb$
bobbooooboobboobboobbbbbbbb$
boobobbbobbbbobbbbobbbbbbbb$
bbobbobbboobbboooobbbbbbbbb$
bboboobbbobobbobbobbbbbbbbb$
boobobbbbboobbboobbbbbbbbbb$
bobbbobbbbbbobbbobbbbbbbbbb$
bboooobbbbbboooobbbbbbbbbbb$
bbobbboobboobbbobbbbbbbbbbb$
bbboobboooobboobbbbbbbbbbbb$
bbbobobbbbbbobobbbbbbbbbbbb$
bbbboobooooboobbbbbbbbbbbbb$
bbbbbboobboobbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbb!
Anyway my search for a 140-cell still life in B3-jk4c/S23-a took over 45 minutes, so I'm assuming that there's no smaller one.
Any sufficiently advanced software is indistinguishable from malice.
User avatar
yujh
Posts: 3153
Joined: February 27th, 2020, 11:23 pm
Location: I'm not sure where I am, so please tell me if you know
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by yujh »

Here's a probably 164:

Code: Select all

x = 20, y = 25, rule = B3-jk4e5c/S3-ac
......oo..oo........$
....oo.oooo.oo......$
...o.o......o.o.....$
...oo..oooo..oo.....$
..o...oo..oo...o....$
..oooo......oooo....$
.o...o......o...o...$
.oo.o........o.oo...$
..o.oo......oo.o....$
..o.o..oo....o.o....$
.oo.o.oo.oo..o.oo...$
.o..oo...o.o.oo..o..$
..oo...oo..oo...oo..$
..o..oo.o.o...oo..o.$
...oo.o..oo.oo.o.oo.$
....o.o....oo..o.o..$
....o.oo......oo.o..$
...oo.o........o.oo.$
...o...o......o...o.$
....oooo......oooo..$
....o...oo..oo...o..$
.....oo..oooo..oo...$
.....o.o......o.o...$
......oo.oooo.oo....$
........oo..oo......!
[off-topic]16 seems to be quite interesting:(halfly joking)

Code: Select all

x = 13, y = 15, rule = B1e3a6n/S1c2ae3n
12bo10$2o3b2o$obobobo2$obobobo$2o3b2o!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
User avatar
LaundryPizza03
Posts: 2596
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Rules Supporting Specific Smallest Still Life

Post by LaundryPizza03 »

Summary of all distinct still lives with 4 cells or fewer, where distinct means it is the smallest in some rule. I counted 9: 1 with 1 cell, 2 with 2 cells, 1 with 3 cells, and 5 with 4 cells.

Code: Select all

#C B/S0 - B2345678/S012345678
x = 1, y = 1, rule = B/S0
o!

Code: Select all

#C B/S1e - B2-a345678/S012345678
x = 2, y = 1, rule = B/S1e
2o!

Code: Select all

#C B/S1c - B2-e345678/S012345678
x = 2, y = 2, rule = B/S1c
o$bo!

Code: Select all

#C B/S2ae - B2-a3-a45678/S012345678
x = 2, y = 2, rule = B/S2ae
o$2o!

Code: Select all

#C B/S2a3ei - B2-a3-a45678/S012345678
x = 3, y = 2, rule = B/S2a3ei
3o$bo!

Code: Select all

#C B/S2a3j - B2-a3-a45678/S012345678
x = 3, y = 2, rule = B/S2a3j
2o$b2o!

Code: Select all

#C B/S3a - B1e2-a345678/S012345678
x = 2, y = 2, rule = B/S3a
2o$2o!

Code: Select all

#C B/S1c2a3k - B2-a3-aj45678/S012345678
x = 3, y = 3, rule = B2e/S1c2a3k
2bo$2o$bo!

Code: Select all

#C B/S2c - B2-e34-e5678/S012345678
x = 3, y = 3, rule = B/S2c
bo$obo$bo!
How many distinct still lives exist with 10 or fewer cells?

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
User avatar
toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by toroidalet »

17:

Code: Select all

x = 7, y = 5, rule = B2a4cz/S1e2aei
bobobo$2obob2o$3bo$2obob2o$bobobo!
18:

Code: Select all

x = 7, y = 8, rule = B3a4w/S2k3jn4w
b2o$o2bo$ob2o$b2o$4b2o$3b2obo$3bo2bo$4b2o!
19:

Code: Select all

x = 7, y = 5, rule = B2a4cz/S1e2a3k4et5e
bobobo$2obob2o$2b3o$2obob2o$bobobo!
20:

Code: Select all

x = 6, y = 6, rule = B6n/S2e3ny
2o2b2o$ob2obo$bo2bo$bo2bo$ob2obo$2o2b2o!
21 (EDIT: actually a still life now):

Code: Select all

x = 6, y = 6, rule = B2e4w/2e3ny4kwy
2o2b2o$ob2obo$bo2bo$b2obo$ob2obo$2o2b2o!
22:

Code: Select all

x = 7, y = 8, rule = B2e/S3jn4a6kn
b2o$4o$2obo$b2o$4b2o$3bob2o$3b4o$4b2o!
23:

Code: Select all

x = 7, y = 7, rule = B2e/S2e3cq4ciy
2b3o$2bobo$2obob2o$obo3bo$2obob2o$2bobo$2b3o!
24:

Code: Select all

x = 6, y = 6, rule = B2e/S2e3j5j7c
2o2b2o$ob2obo$b4o$b4o$ob2obo$2o2b2o!
25:

Code: Select all

x = 7, y = 7, rule = B/S2e4eiy5e
2b3o$2bobo$2obob2o$ob3obo$2obob2o$2bobo$2b3o!
26:

Code: Select all

x = 9, y = 9, rule = B3i4e5c6n/S2c3ikn4ik5y
4bo$3bobo$3b3o$b2obob2o$obo3bobo$b2obob2o$3b3o$3bobo$4bo!
27:

Code: Select all

x = 9, y = 9, rule = B3i4e5c6n/S2ci3kn4ikt5y
4bo$3bobo$3b3o$b2obob2o$obobobobo$b2obob2o$3b3o$3bobo$4bo!
28:

Code: Select all

x = 9, y = 9, rule = B1e3a/S2ae3j
6b2o$2ob2o2bo$o3b2o$2bo4bo$b2o3b2o$bo4bo$3b2o3bo$bo2b2ob2o$b2o!
Another possible strategy to get really big minimal still lives is to have a bunch of small induction coils that have to combine in complicated ways. For example, here's another 96:

Code: Select all

x = 22, y = 22, rule = B1e3a/S2a3en4n
bbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbooobooobbooobb$
bbbbbbbobobbbobobbobob$
bbbbbbboobbobbooobboob$
bbbbbbbobboobbbbbbbbob$
bbooobbbbobobbbbooobbb$
bobobbobboobbbbobobbob$
boobboobbobbobboobboob$
bobbobobbbboobbobbobob$
bbbooobbbbobobbbbooobb$
bobbbbbbbboobbobbbbbbb$
boobbooobbobboobbbbbbb$
bobobbobobbbobobbbbbbb$
bbooobbooobooobbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbb!
New giant blob record: ≤192 (Obviously, adding B4e would make it even bigger):

Code: Select all

x = 28, y = 28, rule = B2-ae3-jk4w5c/S3-a
bbbbbbbbbbbbbbbbbbbbbbbbbbbb$
bbbbbbbbbbboobboobbbbbbbbbbb$
bbbbbbbbboobooooboobbbbbbbbb$
bbbbbbbbobobbbbbbobobbbbbbbb$
bbbbbbbboobboooobboobbbbbbbb$
bbbbbbbobbboobboobbbobbbbbbb$
bbbbbbobooobbbbbbooobobbbbbb$
bbbbbobobboboooobobbobobbbbb$
bbboobobbbboobboobbbboboobbb$
bbobobobbbbbbbbbbbbbbobobobb$
bboobboobbbbbbbbbbbboobboobb$
bobbbobbobbbbbbbbbbobbobbbob$
boobooboobbbbbbbbbboobooboob$
bbobobbobbbbbbbbbbbbobbobobb$
bbobobbobbbbbbbbbbbbobbobobb$
boobooboobbbbbbbbbboobooboob$
bobbbobbobbbbbbbbbbobbobbbob$
bboobboobbbbbbbbbbbboobboobb$
bbobobobbbbbbbbbbbbbbobobobb$
bbboobobbbboobboobbbboboobbb$
bbbbbobobboboooobobbobobbbbb$
bbbbbbobooobbbbbbooobobbbbbb$
bbbbbbbobbboobboobbbobbbbbbb$
bbbbbbbboobboooobboobbbbbbbb$
bbbbbbbbobobbbbbbobobbbbbbbb$
bbbbbbbbboobooooboobbbbbbbbb$
bbbbbbbbbbboobboobbbbbbbbbbb$
bbbbbbbbbbbbbbbbbbbbbbbbbbbb!
Last edited by toroidalet on January 20th, 2021, 4:48 am, edited 1 time in total.
Any sufficiently advanced software is indistinguishable from malice.
User avatar
yujh
Posts: 3153
Joined: February 27th, 2020, 11:23 pm
Location: I'm not sure where I am, so please tell me if you know
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by yujh »

Great but #21
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!
User avatar
toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

Re: Rules Supporting Specific Smallest Still Life

Post by toroidalet »

29:

Code: Select all

x = 7, y = 7, rule = B3i4cn5r6n8/S2e3kn4ci
b2ob2o$obobobo$3ob3o$3bo$3ob3o$obobobo$b2ob2o!
30:

Code: Select all

x = 8, y = 11, rule = B1e2k3a4cq8/S2ae4i
2b3o$2bobo$6b2o$2b3o2bo$2bobob2o2$2obobo$o2b3o$2o$3bobo$3b3o!
31:

Code: Select all

x = 7, y = 7, rule = B2ei3aeij4a/S2e3ein4eny5er
2obob2o$ob3obo$bobobo$2ob4o$bo3bo$ob3obo$2obob2o!
32:

Code: Select all

x = 7, y = 7, rule = B2ei3aeij4a5r/S2e3ein4eny5e
2obob2o$ob3obo$bobobo$3ob3o$bobobo$ob3obo$2obob2o!
33:

Code: Select all

x = 7, y = 7, rule = B2ei3aeij4ae5r6i/S2e3ein4eny5e6i
2obob2o$ob3obo$bobobo$7o$bobobo$ob3obo$2obob2o!
34:

Code: Select all

x = 9, y = 9, rule = B2a3a4ez/S2c3cjn4k5k
2bo3bo$bobobobo$ob2ob2obo$b2obob2o2$b2obob2o$ob2ob2obo$bobobobo$2bo3bo
!
35:

Code: Select all

x = 9, y = 9, rule = B2ai3a4ez/S2ci3cjny4k5k
2bo3bo$bobobobo$ob2ob2obo$b2obob2o$4bo$b2obob2o$ob2ob2obo$bobobobo$2bo
3bo!
36:

Code: Select all

x = 10, y = 10, rule = B1e3a/S2ae
2b2ob2o$2bo3bo$4bo3b2o$2ob2obo2bo$o5b2o$2b2o5bo$o2bob2ob2o$2o3bo$3bo3b
o$3b2ob2o!
37:

Code: Select all

x = 9, y = 9, rule = B2ai3aen4e/S2c3cjn4ek5ek
2bo3bo$bobobobo$ob2ob2obo$b2obob2o$3b3o$b2obob2o$ob2ob2obo$bobobobo$2b
o3bo!
60:

Code: Select all

x = 12, y = 12, rule = B1e2k3a4cq5e8/S2ae4i
3b3ob3o$3bobobobo$2o$o2b2obobob2o$2o2bob3o2bo$3b2o5b2o$2o5b2o$o2b3obo
2b2o$2obobob2o2bo$10b2o$2bobobobo$2b3ob3o!
An interesting replicator interaction in the 34/35/37 rules:

Code: Select all

x = 3, y = 14, rule = B2ai3a4ez/S2ci3cjny4k5k
b2o$2o12$2o!
Any sufficiently advanced software is indistinguishable from malice.
gooddogtyson
Posts: 33
Joined: September 11th, 2019, 7:17 pm

Re: Rules Supporting Specific Smallest Still Life

Post by gooddogtyson »

40:

Code: Select all

x = 11, y = 11, rule = B3a/S3-a
4b3o$2b2obob2o$bobo3bobo$b2o5b2o$o9bo$2o7b2o$o9bo$b2o5b2o$bobo3bobo$2b
2obob2o$4b3o!
90: (might need further verification)

Code: Select all

x = 15, y = 15, rule = B3ai/S3-a
4b2o2b2o$2b2ob4ob2o$bobo6bobo$b2o4b2o2bobo$o4b2ob2o2b2o$2o2bobo3bo3bo$
bo2b2o4b2ob2o$bobo7bobo$2ob2o4b2o2bo$o3bo3bobo2b2o$b2o2b2ob2o4bo$bobo
2b2o4b2o$2bobo6bobo$3b2ob4ob2o$5b2o2b2o!
Hunting
Posts: 4401
Joined: September 11th, 2017, 2:54 am

Re: Rules Supporting Specific Smallest Still Life

Post by Hunting »

56:

Code: Select all

x = 13, y = 13, rule = B3aijk4qw5k/S2-c4c
4b2ob2o$3bo2bo2bo$2bo2bobo2bo$bo3bobo3bo$o5bo5bo$ob2obobob2obo$bo2bo3b
o2bo$ob2obobob2obo$o5bo5bo$bo3bobo3bo$2bo2bobo2bo$3bo2bo2bo$4b2ob2o!
EDIT: 60:

Code: Select all

x = 14, y = 14, rule = B3aijk4cqw5k/S2-c4c
4b2ob2o$3bo2bo2bo$2bo2bobo2bo$bo3bobo3bo$o5bo5bo$ob2obobo5bo$bo2bo3bob
2obo$ob2obo3bo2bo$o5bobob2obo$bo5bo5bo$2bo3bobo3bo$3bo2bobo2bo$4bo2bo
2bo$5b2ob2o!
Hunting
Posts: 4401
Joined: September 11th, 2017, 2:54 am

Re: Rules Supporting Specific Smallest Still Life

Post by Hunting »

80?

Code: Select all

x = 15, y = 15, rule = B2e3ac4aqw5y6a/S25
....oo.oo......$
....o...o......$
..oooo.oooo....$
..o.ooooo.o....$
oooo..o..oooo..$
o.oo.o.o.oo.o..$
...oo...oo.....$
o.oo.o.o.oo.o..$
oooo..o..oooo..$
..o.ooooo.o....$
..oooo.oooo....$
....o...o......$
....oo.oo......$
...............$
...............!
User avatar
FWKnightship
Posts: 1699
Joined: June 23rd, 2019, 3:10 am
Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: Rules Supporting Specific Smallest Still Life

Post by FWKnightship »

64:

Code: Select all

x = 15, y = 15, rule = B3acijk4cqw5k/S2-c4c
5b2ob2o$4bo2bo2bo$3bo2bobo2bo$2bo3bobo3bo$bo5bo5bo$o5bobo5bo$ob2obo3bo
b2obo$bo2bo5bo2bo$ob2obo3bob2obo$o5bobo5bo$bo5bo5bo$2bo3bobo3bo$3bo2bo
bo2bo$4bo2bo2bo$5b2ob2o!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
User avatar
Layz Boi
Posts: 294
Joined: October 25th, 2018, 3:57 pm

Re: Rules Supporting Specific Smallest Still Life

Post by Layz Boi »

Not looking to break any records or anything. Also, they'll need some confirmation:
16

Code: Select all

x = 6, y = 5, rule = B1e3jr4nw/S1e2ik
b4o$o4bo$ob2obo$o4bo$b4o!
16

Code: Select all

x = 9, y = 6, rule = B2ek3ak/S1c2a3k
o5bo$b2ob2o$bo3bo$3bo3bo$3b2ob2o$2bo5bo!
28

Code: Select all

x = 9, y = 9, rule = B1e3a/S2ae4z
2b2ob2o$2bo3bo$3o3b3o$o7bo2$o7bo$3o3b3o$2bo3bo$2b2ob2o!
36

Code: Select all

x = 10, y = 10, rule = B1e3a/S2ae
2b2ob2o$2bo3bo$4bo3b2o$2ob2obo2bo$o5b2o$2b2o5bo$o2bob2ob2o$2o3bo$3bo3b
o$3b2ob2o!
40

Code: Select all

x = 11, y = 7, rule = B1e5a/S1e2e3r
3ob3ob3o$o3bo5bo$obobob3obo$2bo5bo$ob3obobobo$o5bo3bo$3ob3ob3o!
44

Code: Select all

x = 9, y = 9, rule = B34/S3-a4
2b2ob2o$bob3obo$obo3bobo$2ob3ob2o$bobobobo$2ob3ob2o$obo3bobo$bob3obo$
2b2ob2o!
User avatar
FWKnightship
Posts: 1699
Joined: June 23rd, 2019, 3:10 am
Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: Rules Supporting Specific Smallest Still Life

Post by FWKnightship »

5:

Code: Select all

x = 3, y = 3, rule = B/S3i4e
bo$3o$bo!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
Post Reply