Miscellaneous Discoveries in Other Cellular Automata

wwei47 · Post by **wwei47** » April 5th, 2022, 6:18 pm

(6,2)c/24

x = 6, y = 6, rule = B36c8/S234eiw5er
4bo$2b2obo2$2o3bo$b4o$2bo!

B-heptomino to 52-cell still life

Code: Select all

x = 3, y = 4, rule = B3-kr5e6c8/S23-ky4eitw5eqr
b2o$2o$b2o$2bo!

EDIT: Weird c/3d

Code: Select all

x = 4, y = 6, rule = B3-ry5e6c8/S23-ky4eitw5eqr
bo$b2o$ob2o$2b2o$obo$o!

Edit 2: 12c/40 puffer:

Code: Select all

x = 21, y = 33, rule = B3-kr5e6c8/S23-cy4eijtw5eqr6i
2bo15bo$4bo11bo$o3bo11bo3bo$2obo13bob2o$3b2o11b2o2$8bo3bo$8bo3bo$8bo3b
o4$7bo5bo$6b3o3b3o$7bo5bo$4bo2bo5bo2bo$4bob2o5b2obo$4bobo7bobo$4b3o7b
3o2$5bo9bo$4b5o3b5o$6b2o5b2o3$8bo3bo$8bo3bo$8bo3bo$8b5o$8bobobo$8bo3bo
$9bobo$10bo!

Edit 3: 3c/6:

Code: Select all

x = 9, y = 9, rule = B3-kr4n5e6c8/S23-cy4eijtw5eqr
4bo$3b3o$2bobobo$b2o3b2o$o3bo3bo$bo5bo2$2bo3bo$4bo!

Edit 4: P50:

Code: Select all

x = 3, y = 3, rule = B3-ckr4n5eq6c8/S23-cy4eijtw5eqr
3o$o$3o!

Edit 5: Attempted Snowflakes ripoff with a 3c/6 and an 8c/16 double blinker puffer

Code: Select all

x = 22, y = 43, rule = B3-ckr4nw5e6c8/S23-cy4eijtw5eqr
12bo$11b2o$10b2o$11b2o2$11b2o$10b2o$11b2o$12bo32$bo17b3o$3o16bo$bo17b
3o!

confocaloid · Post by **confocaloid** » April 5th, 2022, 8:01 pm

wwei47 wrote: ↑
April 5th, 2022, 6:18 pm
(6,2)c/24
Code: Select all
x = 6, y = 6, rule = B36c8/S234eiw5er
4bo$2b2obo2$2o3bo$b4o$2bo!

(2,0)c/39, (1,1)c/4, (6,2)c/24, (2,2)c/7, (1,0)c/2:

Code: Select all

x = 175, y = 91, rule = B36c/S234eiw5er6e8
o26$66bo$65b2o38bo$65bobo36b2o$104bobo$23b3o$16b3o4bo32b3o37b3o$18bo5b
o33bo39bo$17bo39bo39bo3$145b2o$145bo10bo$145b3o9bo$146bo8b3o5$145bo10b
o$145b2o10bo$143bo2b2o6b2obo$143bo2bo7b3o$142bo3bo5bo2b2o$143bobo7b2o
6$143b2ob2o2$144bobo$144b3o13$16b3o6bo30b3o37b3o7bo$18bo5b2o32bo39bo6b
2o$17bo6bobo30bo39bo7bobo2$64b2o$64bobo$64bo13$174bo!

The same rule, selected two-glider collisions:

Code: Select all

x = 345, y = 146, rule = B36c/S234eiw5er6e8
o11$344bo37$299b3o$301bo$300bo$202b3o102bo$202bo103b2o$10b3o180b3o7bo
102bobo$12bo5b2o175bo$11bo6bobo173bo$18bo89$60bo!
#C [[ THEME LifeHistory ]]

wwei47 · Post by **wwei47** » April 5th, 2022, 9:05 pm

3c/14 front sparker

Code: Select all

x = 8, y = 7, rule = B3-cr4n5e/S23-cqy4eijtw5qr
3bo$bo4b2o$3bob3o$o2bo$3bob3o$bo4b2o$3bo!

EDIT: Pi ship analysis reveals the degrees of freedom B2n3ck4eqw5ackn6ace7c8/S3c4ckyz5aek67c8.

Code: Select all

x = 3, y = 3, rule = B3-cr4n5e/S23-cy4eijtw5qr7c
3o$o$3o!

Edit 2: 14c/58:

Code: Select all

x = 5, y = 4, rule = B3-cr4n5e/S23-cy4eijtw5eqr7c
2b2o$2bobo$ob3o$ob2o!

Edit 3: 3c/18d:

Code: Select all

x = 6, y = 6, rule = B3-ckr4n5e7c/S23-cy4ceijtw5aqr
2bo2bo$3bobo$o3b2o$bo$2bo$3o!

Edit 4: 56-cell still life from a 6-cell seed:

Code: Select all

x = 3, y = 3, rule = B3-ckr4n5e7c/S23-cy4ceijtw5aqr
2bo$b2o$3o!

Edit 5: 18c/48:

Code: Select all

x = 21, y = 17, rule = B3-ckr4nw5e6e/S23-cy4eijtwz5qr6i
19bo$12bo5bobo$10b5o3bobo$10b2ob2o4bo$11bobo$6b2o3bobo$6bo3b2ob2o$3o2b
3o2b5o$o2b2o$3o2b3o2b5o$6bo3b2ob2o$6b2o3bobo$11bobo$10b2ob2o4bo$10b5o
3bobo$12bo5bobo$19bo!

Edit 6: c/5:

Code: Select all

x = 5, y = 3, rule = B3-cr4n5e6a/S23-cy4ceijtw5ekqr6
2bo$5o$2ob2o!

Edit 7: 6c/32d:

Code: Select all

x = 10, y = 6, rule = B3-ckr4n5ae/S23-cy4eijtwz5qr
3b2o$bo3bob2o$3b3o2b2o$o3bo2b2o$7bo$bobo!

Edit 8: 22c/66:

Code: Select all

x = 5, y = 31, rule = B3-cr4nqw5ae6ac/S23-cy4eijtwz5eqr6c
2bo$bobo$bobo$2bo14$2bo$b3o$2bo$2bo$bobo$2ob2o$2ob2o$2ob2o$2ob2o$bobo
$2bo$2bo$b3o$2bo!

Edit 9: 19c/41 puffer:

Code: Select all

x = 26, y = 13, rule = B3-cr4nq5cekn6ac/S23-cy4eijtwz5qr6c
$18bo$18bo$3bo14bo$b3o$bo$b3o$3bo14bo$18bo$18bo!

Edit 10: 14c/31 puffer:

Code: Select all

x = 19, y = 13, rule = B3-cr4nq5ae6acn/S23-cy4eijtwz5qr6c
6bo$5b3o$4b3obo$2bo2bob2o8b2o$2b4o11b2o$o3b2o$4o$o3b2o$2b4o11b2o$2bo2b
ob2o8b2o$4b3obo$5b3o$6bo!

Edit 11: P40:

Code: Select all

x = 6, y = 7, rule = B3-cr4nq5ae6-in/S23-cy4eijtwz5qr6c
b2o$4bo$o3b2o$bobobo$5bo$3b3o$4bo!

Edit 12:
4c/25

Code: Select all

x = 11, y = 4, rule = B3-cr4nqw5ae6ae7c/S23-cy4eijtwz5qr6ci
2bo5bo$bobo3bobo$o3bobo3bo$2b2o3b2o!

17c/56

Code: Select all

x = 3, y = 5, rule = B3-cr4nqw5ae6ae/S23-cy4ceijtwz5kqr6ci
2bo$b2o$o$b2o$2bo!

P104

Code: Select all

x = 5, y = 6, rule = B3-cr4nqw5ae6ae7c/S23-cy4eijtwz5kqr6ci
b2o3$b2o$o2bo$5o!

Edit 13: Unexpected pi->two 3c/6

Code: Select all

x = 3, y = 3, rule = B34n5e/S23-y4et5q
3o$2bo$3o!

Edit 14: 7c/17:

Code: Select all

x = 4, y = 3, rule = B3-k4nq5ce/S23-y4ety6c
obo$2obo$obo!

Edit 15: 10c/20 block puffer:

Code: Select all

x = 6, y = 5, rule = B34nq5ce/S23-y4eity6c
b3o$o3b2o$5bo$o4bo$bo2bo!

Edit 16: P216:

Code: Select all

x = 25, y = 11, rule = B3-c4enq5e/S2-n3-cy4eit6c
15b2o$14bo$13b5o$21b3o$21bo2bo$21b3o$3o13bo$o13bo$3o8bob2o$11bo2bo$11b
3o!

Edit 17: 4c/16d:

Code: Select all

x = 6, y = 5, rule = B3-c4nqw5e8/S23-cy4eijt5a6c
3b3o$3b2o$4o$3o$bo!

Edit 18: 9c/20:

Code: Select all

x = 16, y = 9, rule = B3-c4nqw5e8/S23-cy4eijt6ac
6bo$5bobo$2bob2obo4b2o$3b2o7bobo$2o2bo8b3o$3b2o7bobo$2bob2obo4b2o$5bo
bo$6bo!

Edit 19: Wrong way c/9 arrow:

Code: Select all

x = 5, y = 5, rule = B3-cr4nq5en/S2-n3-cy4et6c
2bo$bo$5o$bo$2bo!

Edit 20: 11c/22, but the rule explodes

Code: Select all

x = 2, y = 3, rule = B3-r4nq5en6ac/S2-n3-cy4ejkty5nr6ac
o$2o$o!

Edit 21: 13c/26, not explosive:

Code: Select all

x = 2, y = 3, rule = B3-r4nq5en6ac/S2-n3-y4ejt5kn6ce
o$2o$o!

Edit 22: 19c/38, not explosive:

Code: Select all

x = 2, y = 3, rule = B2n3-cr4nq5ekn6ace/S2-n3-cy4ejt5aknr6ce
o$2o$o!

20c/40, not explosive:

Code: Select all

x = 2, y = 3, rule = B3-r4nq5cekn6ac/S2-n3-y4ejt5k6c
o$2o$o!

Slightly different:

Code: Select all

x = 2, y = 3, rule = B3-r4nq5cekn6ac/S2-n3-y4ejt5k6ce
o$2o$o!

Edit 23: Life but on a different neighborhood again:

Code: Select all

x = 67, y = 30, rule = R2,C2,S2-3,B3,NW0000010001110111000100000
19b2o2bo$19b3o$4bo18b2o$3o2bo$4obo6$46bo2bo2bobo$46bo2bo2bobo$22b2ob7o
$22b4o3$3o2bobo$3o3bo$4b3o2b2o28b2o2bo17bo2b3o$39b3o17b3o2bo8$21b2o27b
4ob2obo$17b3o30b4ob2obo$17b3o2bo!

Edit 24: c/8d:

Code: Select all

x = 8, y = 7, rule = R2,C2,S2-3,B3,NW1001001001000001001001001
2bo$o$4bo$5bo2$4bo2bo$5bo!

Edit 25: Compressed:

Code: Select all

x = 7, y = 6, rule = R2,C2,S2-3,B3,NW1000001100010100011000001
2o$bo3$4bo$5b2o!

Edit 26: c/6d:

Code: Select all

x = 3, y = 4, rule = R2,C2,S2-3,B3,NW0100010100010100010100010
o$o$2o$b2o!

Edit 27: This rule is actually a bit interesting:

Code: Select all

x = 80, y = 43, rule = R2,C2,S2-3,B3,NW0000001110100010111000000
60b4o3b4o5b4o$60bo2bo3b2obo5bo2bo$60bo2bo6bo5bo2bo$79bo$79bo6$o5b2o2b
o8bo5b2o5bo2bo7bo3bo$b2o2b2o5b2o2bobo4b2o5b2o4b2o4bobobobo$bo9bo7bo11b
o4bo4bo7bo$32bo2bo6bo5bo$33b2o8b2ob2o$44bobo5$8bo$b3o3b3o$3o$8bo$8bo$
7bobo5$obo4bo$2obo4bo$bo5b2o$9bo7$bo$obo$obo!

affamatodidio · Post by **affamatodidio** » April 8th, 2022, 1:12 pm

Snowflake-esque rule with push and pull mechanics.

Code: Select all

x = 69, y = 26, rule = B2ei3aiqr4et6e7e8/S02-n3aein4eqz5r6ac7c8
50b2o13bo$52bo10b5o$50b2o3b2o6b5o$57bo4b7o$55b2o6b5o$63b5o$65bo6$65bo
$63b5o$2o39b2o20b5o$bo40bo19b7o$2o39b2o20b5o$48b2o13b5o$6b2o42bo4b2o8b
o$7bo40b2o7bo$6b2o47b2o$48b2o$40b2o8bo$b2o38bo6b2o$3bo36b2o$b2o!

pzq_alex · Post by **pzq_alex** » April 9th, 2022, 2:13 am

Code: Select all

x = 4, y = 4, rule = B3/S3-ckr4ar5aci6acn7c8
b3o$4o$3o$3o!

Edit:

Code: Select all

x = 3, y = 5, rule = B36i/S3aeijy4ar5aci6acn7c8
o2$b2o$b2o$b2o!

Edit2:

Code: Select all

x = 5, y = 4, rule = B3/S3aei4ar5ai6ack7c8
b4o$4o$4o$b4o!

Code: Select all

x = 3, y = 4, rule = B3/S3aeik4ar5aci6ack7c8
b2o$3o$3o$o!

wwei47 · Post by **wwei47** » April 10th, 2022, 1:21 pm

Proof of concept for insanely-long timers and stuff like that. This feeds a caber-tosser into a binary counter, emitting a photon every O(j^k^n) generations or whatever.

Code: Select all

x = 4, y = 8, rule = doublelog
.A$A.A2$.B$.C.D$D.E$2.D$3.F!
@RULE doublelog
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6}
var b=a
var c=b
var d=c
var e=d
var f=e
var g=f
var h=g
var i=h
0,1,0,1,0,0,0,0,0,1
0,0,1,1,1,0,0,0,0,1
0,1,0,1,0,1,0,0,0,1
1,1,1,0,0,0,0,0,0,1
1,0,1,0,1,0,0,0,0,1
0,2,0,0,0,0,0,0,0,2
2,0,4,0,0,3,0,0,0,2
2,0,4,0,0,0,0,0,0,3
2,0,4,0,0,3,0,0,5,2
2,0,4,0,0,0,0,0,5,3
2,2,5,3,0,0,0,0,0,4
2,2,3,4,0,0,0,0,0,4
2,3,5,2,0,4,0,0,0,4
2,4,3,2,0,4,0,0,0,4
2,a,b,c,d,e,f,g,h,3
0,1,0,0,0,2,0,0,0,2
0,0,1,0,3,0,0,0,0,1
0,0,1,2,1,0,0,0,0,2
0,1,0,0,0,3,0,0,0,2
0,2,1,0,1,0,1,0,1,1
4,2,5,0,0,4,0,0,0,0
4,2,5,0,0,0,0,0,0,0
4,2,2,0,0,4,0,0,0,0
4,2,2,0,0,0,0,0,0,0
0,2,0,0,4,0,0,0,0,2
0,2,0,0,4,0,5,0,0,2
0,2,0,5,0,0,0,0,0,2
0,2,5,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,2
0,2,0,5,0,4,0,0,0,2
0,2,5,0,0,4,0,0,0,2
0,2,2,0,0,4,0,0,0,2
0,2,2,0,4,0,0,0,0,2
0,0,2,5,4,0,0,0,0,2
0,0,4,0,2,5,4,0,0,2
0,0,2,0,6,0,0,0,0,1
0,0,2,2,1,0,0,0,0,1
0,1,0,6,0,0,0,0,0,6
6,0,1,0,4,0,0,0,0,1
6,0,1,0,0,0,0,0,0,1
4,a,b,c,d,e,f,g,h,4
5,a,b,c,d,e,f,g,h,5
6,a,b,c,d,e,f,g,h,6
0,1,6,0,0,0,0,0,0,2
0,6,1,0,0,0,0,0,0,3
a,b,c,d,e,f,g,h,i,0
@COLORS
1 255 0 0
2 0 255 0
3 255 255 0
4 255 127 0
5 127 0 0
6 0 127 0

Add more of the things to stick more logs onto the growth.

Code: Select all

x = 18, y = 22, rule = doublelog
15.A$14.A.A2$15.B$15.C.D$14.D.E$9.F2.D3.D$10.DE5.F2$11.D2$10.D$7.D.E$
2.F2.D3.D$3.DE5.F2$4.D2$3.D$D.E$2.D$3.F!

Yet not even this can get us to log*.

toroidalet · Post by **toroidalet** » April 10th, 2022, 3:58 pm

log*(t) growth and general n-ation (hence the name):

Code: Select all

@RULE n-ation
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6}
var b=a
var c=b
var d=c
var e=d
var f=e
var g=f
var h=g
var i=h
0,1,0,1,0,0,0,0,0,1
0,0,1,1,1,0,0,0,0,1
0,1,0,1,0,1,0,0,0,1
1,1,1,0,0,0,0,0,0,1
1,0,1,0,1,0,0,0,0,1
0,2,0,0,0,0,0,0,0,2
2,0,4,0,0,3,0,0,0,2
2,0,4,0,0,0,0,0,0,3
2,0,4,0,0,3,0,0,5,2
2,0,4,0,0,0,0,0,5,3
2,2,5,3,0,0,0,0,0,4
2,2,3,4,0,0,0,0,0,4
2,3,5,2,0,4,0,0,0,4
2,4,3,2,0,4,0,0,0,4
2,a,b,c,d,e,f,g,h,3
0,1,0,0,0,2,0,0,0,2
0,0,1,0,3,0,0,0,0,1
0,0,1,2,1,0,0,0,0,2
0,1,0,0,0,3,0,0,0,2
0,2,1,0,1,0,1,0,1,1
4,2,5,0,0,4,0,0,0,0
4,2,5,0,0,0,0,0,0,0
4,2,2,0,0,4,0,0,0,0
4,2,2,0,0,0,0,0,0,0
0,2,0,0,4,0,0,0,0,2
0,2,0,0,4,0,5,0,0,2
0,2,0,5,0,0,0,0,0,2
0,2,5,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,2
0,2,0,5,0,4,0,0,0,2
0,2,5,0,0,4,0,0,0,2
0,2,2,0,0,4,0,0,0,2
0,2,2,0,4,0,0,0,0,2
0,0,2,5,4,0,0,0,0,2
0,0,4,0,2,5,4,0,0,2
0,0,2,0,6,0,0,0,0,1
0,0,2,2,1,0,0,0,0,1
0,1,0,6,0,0,0,0,0,6
6,0,1,0,4,0,0,0,0,1
6,0,1,0,0,0,0,0,0,1

0,0,1,0,0,0,2,0,0,1
1,2,3,0,0,0,0,0,0,6
1,2,4,3,6,0,0,0,0,1
1,3,4,0,6,0,0,0,0,3
6,3,0,1,0,0,0,0,0,0

4,a,b,c,d,e,f,g,h,4
5,a,b,c,d,e,f,g,h,5
6,a,b,c,d,e,f,g,h,6
0,1,6,0,0,0,0,0,0,2
0,6,1,0,0,0,0,0,0,3
a,b,c,d,e,f,g,h,i,0
@COLORS
1 255 0 0
2 0 255 0
3 255 255 0
4 255 127 0
5 127 0 0
6 0 127 0

Code: Select all

x = 6, y = 10, rule = n-ation
.A$A.A2$.B$.C.D$D.E$2.D$4.A$5.A$4.A!

@RULE n-ation
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6}
var b=a
var c=b
var d=c
var e=d
var f=e
var g=f
var h=g
var i=h
0,1,0,1,0,0,0,0,0,1
0,0,1,1,1,0,0,0,0,1
0,1,0,1,0,1,0,0,0,1
1,1,1,0,0,0,0,0,0,1
1,0,1,0,1,0,0,0,0,1
0,2,0,0,0,0,0,0,0,2
2,0,4,0,0,3,0,0,0,2
2,0,4,0,0,0,0,0,0,3
2,0,4,0,0,3,0,0,5,2
2,0,4,0,0,0,0,0,5,3
2,2,5,3,0,0,0,0,0,4
2,2,3,4,0,0,0,0,0,4
2,3,5,2,0,4,0,0,0,4
2,4,3,2,0,4,0,0,0,4
2,a,b,c,d,e,f,g,h,3
0,1,0,0,0,2,0,0,0,2
0,0,1,0,3,0,0,0,0,1
0,0,1,2,1,0,0,0,0,2
0,1,0,0,0,3,0,0,0,2
0,2,1,0,1,0,1,0,1,1
4,2,5,0,0,4,0,0,0,0
4,2,5,0,0,0,0,0,0,0
4,2,2,0,0,4,0,0,0,0
4,2,2,0,0,0,0,0,0,0
0,2,0,0,4,0,0,0,0,2
0,2,0,0,4,0,5,0,0,2
0,2,0,5,0,0,0,0,0,2
0,2,5,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,2
0,2,0,5,0,4,0,0,0,2
0,2,5,0,0,4,0,0,0,2
0,2,2,0,0,4,0,0,0,2
0,2,2,0,4,0,0,0,0,2
0,0,2,5,4,0,0,0,0,2
0,0,4,0,2,5,4,0,0,2
0,0,2,0,6,0,0,0,0,1
0,0,2,2,1,0,0,0,0,1
0,1,0,6,0,0,0,0,0,6
6,0,1,0,4,0,0,0,0,1
6,0,1,0,0,0,0,0,0,1

0,0,1,0,0,0,2,0,0,1
1,2,3,0,0,0,0,0,0,6
1,2,4,3,6,0,0,0,0,1
1,3,4,0,6,0,0,0,0,3
6,3,0,1,0,0,0,0,0,0

4,a,b,c,d,e,f,g,h,4
5,a,b,c,d,e,f,g,h,5
6,a,b,c,d,e,f,g,h,6
0,1,6,0,0,0,0,0,0,2
0,6,1,0,0,0,0,0,0,3
a,b,c,d,e,f,g,h,i,0
@COLORS
1 255 0 0
2 0 255 0
3 255 255 0
4 255 127 0
5 127 0 0
6 0 127 0

Code: Select all

x = 7, y = 34, rule = n-ation
2.A$.A.A2$2.B$2.C.D$.D.E$3.D$5.A$3.E2.A$5.A$2.D$3.E.D$3.D$.A$A2.E$.A$
4.D$.D.E$3.D$5.A$3.E2.A$5.A$2.D$3.E.D$3.D$.A$A2.E$.A$4.D$.D.E$3.D$5.A
$6.A$5.A!
@RULE n-ation
@TABLE
n_states:7
neighborhood:Moore
symmetries:rotate4reflect
var a={0,1,2,3,4,5,6}
var b=a
var c=b
var d=c
var e=d
var f=e
var g=f
var h=g
var i=h
0,1,0,1,0,0,0,0,0,1
0,0,1,1,1,0,0,0,0,1
0,1,0,1,0,1,0,0,0,1
1,1,1,0,0,0,0,0,0,1
1,0,1,0,1,0,0,0,0,1
0,2,0,0,0,0,0,0,0,2
2,0,4,0,0,3,0,0,0,2
2,0,4,0,0,0,0,0,0,3
2,0,4,0,0,3,0,0,5,2
2,0,4,0,0,0,0,0,5,3
2,2,5,3,0,0,0,0,0,4
2,2,3,4,0,0,0,0,0,4
2,3,5,2,0,4,0,0,0,4
2,4,3,2,0,4,0,0,0,4
2,a,b,c,d,e,f,g,h,3
0,1,0,0,0,2,0,0,0,2
0,0,1,0,3,0,0,0,0,1
0,0,1,2,1,0,0,0,0,2
0,1,0,0,0,3,0,0,0,2
0,2,1,0,1,0,1,0,1,1
4,2,5,0,0,4,0,0,0,0
4,2,5,0,0,0,0,0,0,0
4,2,2,0,0,4,0,0,0,0
4,2,2,0,0,0,0,0,0,0
0,2,0,0,4,0,0,0,0,2
0,2,0,0,4,0,5,0,0,2
0,2,0,5,0,0,0,0,0,2
0,2,5,0,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,2
0,2,0,5,0,4,0,0,0,2
0,2,5,0,0,4,0,0,0,2
0,2,2,0,0,4,0,0,0,2
0,2,2,0,4,0,0,0,0,2
0,0,2,5,4,0,0,0,0,2
0,0,4,0,2,5,4,0,0,2
0,0,2,0,6,0,0,0,0,1
0,0,2,2,1,0,0,0,0,1
0,1,0,6,0,0,0,0,0,6
6,0,1,0,4,0,0,0,0,1
6,0,1,0,0,0,0,0,0,1

0,0,1,0,0,0,2,0,0,1
1,2,3,0,0,0,0,0,0,6
1,2,4,3,6,0,0,0,0,1
1,3,4,0,6,0,0,0,0,3
6,3,0,1,0,0,0,0,0,0

4,a,b,c,d,e,f,g,h,4
5,a,b,c,d,e,f,g,h,5
6,a,b,c,d,e,f,g,h,6
0,1,6,0,0,0,0,0,0,2
0,6,1,0,0,0,0,0,0,3
a,b,c,d,e,f,g,h,i,0
@COLORS
1 255 0 0
2 0 255 0
3 255 255 0
4 255 127 0
5 127 0 0
6 0 127 0

The rule is backwards-compatible with doublelog, but it should be fairly easy to get rid of state 6.

wwei47 · Post by **wwei47** » April 10th, 2022, 6:49 pm

toroidalet wrote: ↑
April 10th, 2022, 3:58 pm
log*(t) growth and general n-ation (hence the name):
<snip>
The rule is backwards-compatible with doublelog, but it should be fairly easy to get rid of state 6.

Nice! Seems so obvious in retrospect. Now, it seems like that the first significant roadbump appears with inverse Ackermann. How can we do that?

LaundryPizza03 · Post by **LaundryPizza03** » April 11th, 2022, 12:38 am

wwei47 wrote: ↑
April 10th, 2022, 6:49 pm

toroidalet wrote: ↑
April 10th, 2022, 3:58 pm
log*(t) growth and general n-ation (hence the name):
<snip>
The rule is backwards-compatible with doublelog, but it should be fairly easy to get rid of state 6.
Nice! Seems so obvious in retrospect. Now, it seems like that the first significant roadbump appears with inverse Ackermann. How can we do that?

The tricky part here is that this function is not primitive recursive — you cannot encode it in terms of do and while loops alone. You'd have to use a device that can compute arbitrary hyperoperators.

wwei47 · Post by **wwei47** » April 11th, 2022, 7:57 am

LaundryPizza03 wrote: ↑
April 11th, 2022, 12:38 am
Nice! Seems so obvious in retrospect. Now, it seems like that the first significant roadbump appears with inverse Ackermann. How can we do that?

The tricky part here is that this function is not primitive recursive — you cannot encode it in terms of do and while loops alone. You'd have to use a device that can compute arbitrary hyperoperators.
[/quote]

Um, Wikipedia says that Ackermann is not primitive recursive but inverse Ackermann is. In any case, if I have while loops, I could probably implement something involving pointers and stacks to compute Ackermann. If Wikipedia is right:

Code: Select all

var ackermann=function(x){
  var i=0;
  while(inverseackermann(i)<x){
    i+=1;
  }
  return i;
};

pzq_alex · Post by **pzq_alex** » April 11th, 2022, 8:41 am

wwei47 wrote: ↑
April 11th, 2022, 7:57 am

LaundryPizza03 wrote: ↑
April 11th, 2022, 12:38 am
Nice! Seems so obvious in retrospect. Now, it seems like that the first significant roadbump appears with inverse Ackermann. How can we do that?
The tricky part here is that this function is not primitive recursive — you cannot encode it in terms of do and while loops alone. You'd have to use a device that can compute arbitrary hyperoperators.

Um, Wikipedia says that Ackermann is not primitive recursive but inverse Ackermann is. In any case, if I have while loops, I could probably implement something involving pointers and stacks to compute Ackermann. If Wikipedia is right:

Code: Select all

var ackermann=function(x){
  var i=0;
  while(inverseackermann(i)<x){
    i+=1;
  }
  return i;
};

[/quote]

https://en.wikipedia.org/wiki/Ackermann ... y_function says that if you have a stack you can compute A(m,n) as:

Code: Select all

PUSH <m,n>
WHILE stackLength <> 1
{
   POP 2 elements;
   PUSH 1 or 2 or 3 elements, applying the rules r1, r2, r3
}

where the rules are

Code: Select all

(r1) 0, n -> n + 1
(r2) (m+1), 0 -> m, 1
(r3) (m+1), (n+1) -> m, m+1, n

LaundryPizza03 · Post by **LaundryPizza03** » April 11th, 2022, 6:16 pm

This rule has a (6,2)c/14 moving failedrep and a p20 domino.

Code: Select all

x = 3, y = 2, rule = B02346/S1234
bo$obo!

Code: Select all

x = 2, y = 1, rule = B02346/S1234
2o!

EDIT: (4,3)c/14 Q-class quadratic replicator:

Code: Select all

x = 3, y = 1, rule = B02345/S0234
3o!

bismarckisbestgirl · Post by **bismarckisbestgirl** » April 12th, 2022, 1:19 pm

Weird natural spaceship in a weird rule.

Code: Select all

x = 4, y = 4, rule = B34ij5k6i7/S23aik4a
2bo$b3o$2bo$2o!

wwei47 · Post by **wwei47** » April 12th, 2022, 7:20 pm

10c/20 MWSS backrake

Code: Select all

x = 3, y = 4, rule = B34jk/S234i
o$2o$b2o$2o!

EDIT: Bookends AND eater 1?!!!

Code: Select all

x = 3, y = 4, rule = B3-ceky4jk/S2-n34i
o$2o$b2o$2o!

Edit 2: Small lake again

Code: Select all

x = 3, y = 3, rule = B3/S23-e4e
bo$3o$bo!

squareroot12621 · Post by **squareroot12621** » April 13th, 2022, 9:50 pm

I call this WeirdLife. Here's why:

The tub creates a traffic light.
Honey farms can only form by chance: their predecessors form traffic lights instead.
Queen bees are c/2 spaceships.
B-heptaplets are, similarly, glide-symmetric 2c/4 spaceships.
And if that wasn't enough, the C-heptomino is an RRO! (Unfortunately, the multiplicity is 1. )

Code: Select all

#C                      (aka WeirdLife)
x = 54, y = 145, rule = B2i34-aqw/S23-j4k
18bo11b2o3b2o3b2o4bo3b2o$17b2o11b2o3bobo2bobo2bobo2bobo$18bo17bo4b2o2b
obo3bobo$18bo27bo5b2o$17b2o6$8b2o7b2o12bo3b2o8bo$7bo11bo11bo3b2o8b2o$
6bo11bo12bo5b2o6b2o$6bo2bo7bo19b2o7bo$6bo10b3o$7bo$8b2o4$17b2o$19bo$17b
2o$19bo$17b3o6$9bo7bobo11bo$8bo8bobo10b2o$7b2o7b4o12b2o$8b2o9bo12b2o$
9bo9bo6$17b3o$17bo$17b2o$19bo$17b3o6$18b2o$17bo$17b2o$17bobo$17b2o6$16b
4o$16bo2bo$19bo$18bo$18bo6$17b2o$17bobo$18bo$17bobo$18b2o6$18b2o$17bo
bo$18b2o$19bo$17b2o6$14bo3b2o$13b2o2bobo$14bo2bobo$14bo2bobo$13b3o2bo
6$bo3bo8bo2b3o$2o2b2o7b2o2bo$bo3bo8bo2b3o$bo3bo8bo4bo$b2ob2o7b3ob2o6$
bo3b2o6b2o2b2o$2o2bo10bobobo$bo2b2o8bo2bobo$bo2bobo6bo3bobo$b2o2bo7b3o
2b2o6$2o4bo6b2o3bo$2bo2b2o8bobobo$bo4bo7bo2bobo$o5bo8bobobo$3o2b2o5b3o
2bobo$17b2o15$2o3bo7bobo2b2o$2bob2o7bobobobo12b3o$2o3bo7b3obobo11b3o$
2bo2bo9bobobo12bo$2o2b3o8bo2b2o! [[ THEME Mono ZOOM 3 ]]

ihatecorderships · Post by **ihatecorderships** » April 14th, 2022, 8:46 am

Simple glider puffer:

Code: Select all

x = 23, y = 16, rule = Invasion
5$11.2B$9.B3.AB$9.B3.2AB$9.B.BA.AB$8.B5.2B$7.2B$6.3B$5.2B5.2B$12.2B$6.
B!

MWSS:

Code: Select all

x = 8, y = 6, rule = Invasion
3BA4B$BA3BA2B$6BAB$BA4BAB$2B5AB$8B!

Edit 5-ish hours later:
2 puffer speeds

Code: Select all

x = 4, y = 3, rule = B34in/S23-a4ceity5in6ci7e8
bo$3o$ob2o!

Code: Select all

x = 21, y = 18, rule = B34in/S23-a4ceity5in6ci7e8
2$15b3o$5bo9bob2o$4b3o11b2o$4bob2o10bo$2b3obo6bo4bo$b2ob3o4b2o$2bo2bo
4bobo$3b2o6bo6b2o$10bo2bo3b3o$10b3obo$14b2o$10b2o2bo$10b2ob2o$11b3o$12b
o!

Edit:
generations version, very dirty quadrep

Code: Select all

x = 8, y = 6, rule = 23-a4ceity5in6ci7e8/34in/3
2$3.3A$3.A2BA$3.A.BA$4.3A!

another rule, osc

Code: Select all

x = 3, y = 5, rule = 23-ay4ceyz5e6cin7e8/2c34in5k68/3
.A$3A$.A$3A$.A!

Edit a day later:

Code: Select all

x = 118, y = 45, rule = 23-a4i5k7c/37e8/3
27.3A$25.2A.BA$24.BA.2BA$27.2A$22.A3.B$21.AB$21.A2BA$22.3A14$5.2A$4.A
2BA15.A26.B$6.BA14.3B$2.B3.2A13.A3BA24.B.B$.2A18.B.A.2A57.A26.A3.A$.A
2.B20.BA19.B3.2B31.B2A24.3A.3A$A.BA20.A.2A21.A35.2A22.2A.A.A.2A$A2BA21.
BA21.B.2A27.3AB.2A$3A22.2A22.3A26.2A.A.A$13.3A63.A2.A$13.A2BA63.3A$15.
BA64.A$11.B3.A$9.2A$8.A2B.AB$8.AB.2A$8.3A$34.B2$36.B$35.A.A$30.B.B.B.
2A$34.B.2A$32.B!

LaundryPizza03 · Post by **LaundryPizza03** » April 15th, 2022, 3:40 pm

13c/26o replicator, one transition from the replicator-wickstretcher known to Eppstein:

Code: Select all

x = 1, y = 3, rule = B0136/S03
o$o$o!

Fourfold hassler:

Code: Select all

x = 44, y = 44, rule = B0136/S03
15bo$12bob3obo$12bobobobo$12bob3obo$15bo8$b3o2$b3o$2ob2o$b3o2$b3o7$40b
3o2$40b3o$39b2ob2o$40b3o2$40b3o8$28bo$25bob3obo$25bobobobo$25bob3obo$
28bo!

ihatecorderships · Post by **ihatecorderships** » April 15th, 2022, 5:05 pm

LaundryPizza03 wrote: ↑
April 15th, 2022, 3:40 pm
Fourfold hassler:
Code: Select all
x = 44, y = 44, rule = B0136/S03
15bo$12bob3obo$12bobobobo$12bob3obo$15bo8$b3o2$b3o$2ob2o$b3o2$b3o7$40b
3o2$40b3o$39b2ob2o$40b3o2$40b3o8$28bo$25bob3obo$25bobobobo$25bob3obo$
28bo!

Another slightly different one

Code: Select all

x = 42, y = 44, rule = B0136/S03
14bo$11bob3obo$11bobobobo$11bob3obo$14bo8$b3o2$b3o$2ob2o$b3o2$b3o7$38b
3o2$38b3o$37b2ob2o$38b3o2$38b3o8$27bo$24bob3obo$24bobobobo$24bob3obo$
27bo!

squareroot12621 · Post by **squareroot12621** » April 15th, 2022, 5:26 pm

I found this naturally in a HighLife soup:

Code: Select all

 x = 6, y = 2, rule = B36/S23History
2A.A.A$.2A.AC! [[ GPS 8 ZOOM 50 THEME Mono AUTOSTART T 0 PAUSE 1 ]]

It's SO close to volatility 1. (The one cell that stays alive has a greenish tint.)
-----
Has anybody seen this 34-Life reaction?

Code: Select all

x = 10, y = 4, rule = B34/S34
9bo$obobobob2o$obobobob2o$9bo!
[[ THEME Mono GPS 10 AUTOSTART ZOOM 32 T 0 PAUSE 1 T 26 PAUSE 1 T 27 STEP 1 LOOP 27 ]]

Naszvadi · Post by **Naszvadi** » April 15th, 2022, 5:50 pm

ihatecorderships wrote: ↑
April 15th, 2022, 5:05 pm
LaundryPizza03 wrote: ↑
April 15th, 2022, 3:40 pm
Fourfold hassler:
Code: Select all
rle
Another slightly different one
Code: Select all
rle

Cordership:

Code: Select all

#C [[ TRACK 1/2 0 ZOOM 5 ]]
x = 60, y = 49, rule = B0136/S03
19bo25bo$16bob3obo19bob3obo$16bobobobo19bobobobo$16bob3obo19bob3obo$
19bo25bo2$2b3o$3bo28bo$bobo2bo6bo3b3o10b3o10b3o$2b2o3bo5b2ob2ob2o9b3o
9b2ob2o$bo27b5o21bobobo$obo10bo4bo12bo12bo10bobobo$3bo5bob3o15b5o21bob
obo$6bo2b2o2bo2b2ob2o9b3o9b2ob2o$4bo8b2o2b3o10b3o10b3o$2b2o$4bobo$o14$
o$4bobo$2b2o$4bo8b2o2b3o10b3o10b3o$6bo2b2o2bo2b2ob2o9b3o9b2ob2o$3bo5bo
b3o15b5o21bobobo$obo10bo4bo12bo12bo10bobobo$bo27b5o21bobobo$2b2o3bo5b
2ob2ob2o9b3o9b2ob2o$bobo2bo6bo3b3o10b3o10b3o$3bo28bo$2b3o2$19bo25bo$
16bob3obo19bob3obo$16bobobobo19bobobobo$16bob3obo19bob3obo$19bo25bo!

squareroot12621 · Post by **squareroot12621** » April 16th, 2022, 7:40 pm

This is StillLife.
As its name suggests, it has a lot of still lifes.
I made something similar to D̶e̶a̶n̶ ̶H̶i̶c̶k̶e̶r̶s̶o̶n̶'̶s̶ ̶C̶y̶c̶l̶o̶t̶r̶o̶n̶.̶ (Edit: The Exploratorium.)

Code: Select all

#C. . . . . . . . . . aka StillLife
x = 78, y = 46, rule = B2e3i/S23History
7.A$7.A$6.A$4.2A$2.6A6.42D$2.A2.A2.A46.2D$3.A.4A.A45.2D$3.A2.4A47.D$3.
3A51.D$57.D$35.15FD6.D$32.3F15.D4.D.D.D$29.3F18.D5.3D$26.3FB20.D6.D$23.
3F3.B20.D$20.3F6.B20.D20.E4.A$17.3F9.B20.D6.A12.3A2.3A$14.3F12.B20.D6.
2A2.A8.A4.A$15F14.B20.D7.A.2A8.3A2.3A$14.F14.B7.E7.E.E2.D7.A12.E4.A$6.
A4.A2.F.2C2.2C4.2C.B.E.E2.2E.E4.2E.2E.D8.A.2A$7.A3.A2.F.C3.2C3.2C2.B.
3E3.3E5.3E2.D.2A.A3.A2.A$11.A2.F14.B20.D2.A.2A.A$14.F14.B20.D6.A2.A$14.
F3.C10.B20.D3.2A3.2A$14.F.2C.2C8.B20.D2.2A$14.F2.C.C9.B20.D$14.F14.B20.
D$14.F14.B21.D$14.F14.B21.D$14.F14.B21.D$14.F.2C2.2C.2C4.B.A2.2A6.2A8.
D$14.F2.C3.C.C5.B.4A7.A9.D$14.F.C4.C.C5.B22.D$14.F.2C2.2C.2C4.B.2A20.
D$14.F14.B.A21.D$14.F14.B23.D$14.F14.B7.CA11.A3.D$14.F14.B8.AC10.2A2.
D$14.F14.B21.A2.D$14.F14.B24.D$14.F14.B24.D$14.F14.B15.A.2A5.D$14.F14.
B15.2A.A4.D$14.F14.B23.D$14.F14.B23.D! [[ ZOOM 7 GPS 15 LABELT 0 0 0 ARROWT 0 0 0 ]]
[[ LABEL 6 11 10 "(A) ''Soup'' which made\na large still life." LABEL 34 2 10 "(B) The still life A creates is at the tip of this arrow." ]]
[[ LABEL 7 25 10 "(C) Here are\nthe only\ntwo (both\nperiod 2)\noscillators\nI found." LABEL 30 25 10 "(D) Only a few of\nthe still lifes I\nfound." ]]
[[ ARROW 23 26 21.5 26 7 LABEL 38 16 10 "(E) 3 types of\nspaceships." ARROW 28 42 31 37.5 7 ARROW 29 42 36 38 7 ARROW 30 42 48 40 7 ]]
[[ LABEL 27 43.5 10 "(F) Spaceship\neaters." ARROW 35.5 43 35.5 33.5 7 ARROW 43 43 43 34 7 LABEL 38.75 44.5 10 "(G) Spaceship\ndownconverters." ]]
[[ LABEL 69.5 24 10 "(H) Spaceship and/or\nstill life interactions.\nThe rightmost spaceship\nis turned into a still\nlife by the yellow cells\nin generation 5." ]]

pzq_alex · Post by **pzq_alex** » April 19th, 2022, 5:57 am

P40 fleet

Code: Select all

x = 4, y = 4, rule = B2n3-eknr4ci/S2-i3-a4cint5cj
3o$o2bo$o2bo$b3o!

Sarah · Post by **Sarah** » April 19th, 2022, 10:04 am

I think this is a different cordership, ignore otherwise

Code: Select all

x = 81, y = 49, rule = B0136/S03
15b7o19b7o$13b2o2b3o2b2o15b2o2b3o2b2o$14bo2bobo2bo17bo2bobo2bo$13b2o2b
3o2b2o15b2o2b3o2b2o5b2o17bo3bo$15b7o19b7o6b3o14b2o3b4o$53b2o14b2ob2ob
6o$53b3o13b2ob2o2b5o$30b4o19b3o15b2ob6o$30b2obo15b3o2bobo19bobo$2bo3b
o21b5o15b9o$3obob3o20b3o15bob9o$bob3obo21b3o12bob12o$3obob3o20b3o12bo
2b3ob7o$2bo3bo21bo3bo12b3o2bob4ob3o$28bobobo11b3o6bob2ob2o$29bobo6b2o
15bobo$30bo7b3o13b5o$39b2o6b3o4bobo$47b2o3b6o$49bo3b5o10$49bo3b5o$47b
2o3b6o$39b2o6b3o4bobo$30bo7b3o13b5o$29bobo6b2o15bobo$28bobobo11b3o6bo
b2ob2o$2bo3bo21bo3bo12b3o2bob4ob3o$3obob3o20b3o12bo2b3ob7o$bob3obo21b
3o12bob12o$3obob3o20b3o15bob9o$2bo3bo21b5o15b9o$30b2obo15b3o2bobo19bo
bo$30b4o19b3o15b2ob6o$53b3o13b2ob2o2b5o$53b2o14b2ob2ob6o$15b7o19b7o6b
3o14b2o3b4o$13b2o2b3o2b2o15b2o2b3o2b2o5b2o17bo3bo$14bo2bobo2bo17bo2bo
bo2bo$13b2o2b3o2b2o15b2o2b3o2b2o$15b7o19b7o!

pzq_alex · Post by **pzq_alex** » April 19th, 2022, 10:08 am

Sarah wrote: ↑

April 19th, 2022, 10:04 am

I think this is a different cordership, ignore otherwise

Code: Select all

x = 81, y = 49, rule = B0136/S03
15b7o19b7o$13b2o2b3o2b2o15b2o2b3o2b2o$14bo2bobo2bo17bo2bobo2bo$13b2o2b
3o2b2o15b2o2b3o2b2o5b2o17bo3bo$15b7o19b7o6b3o14b2o3b4o$53b2o14b2ob2ob
6o$53b3o13b2ob2o2b5o$30b4o19b3o15b2ob6o$30b2obo15b3o2bobo19bobo$2bo3b
o21b5o15b9o$3obob3o20b3o15bob9o$bob3obo21b3o12bob12o$3obob3o20b3o12bo
2b3ob7o$2bo3bo21bo3bo12b3o2bob4ob3o$28bobobo11b3o6bob2ob2o$29bobo6b2o
15bobo$30bo7b3o13b5o$39b2o6b3o4bobo$47b2o3b6o$49bo3b5o10$49bo3b5o$47b
2o3b6o$39b2o6b3o4bobo$30bo7b3o13b5o$29bobo6b2o15bobo$28bobobo11b3o6bo
b2ob2o$2bo3bo21bo3bo12b3o2bob4ob3o$3obob3o20b3o12bo2b3ob7o$bob3obo21b
3o12bob12o$3obob3o20b3o15bob9o$2bo3bo21b5o15b9o$30b2obo15b3o2bobo19bo
bo$30b4o19b3o15b2ob6o$53b3o13b2ob2o2b5o$53b2o14b2ob2ob6o$15b7o19b7o6b
3o14b2o3b4o$13b2o2b3o2b2o15b2o2b3o2b2o5b2o17bo3bo$14bo2bobo2bo17bo2bo
bo2bo$13b2o2b3o2b2o15b2o2b3o2b2o$15b7o19b7o!

Wrong phase. Corrected:

Code: Select all

x = 80, y = 49, rule = B0136/S03
15bo3bo21bo3bo$13bo2bobo2bo17bo2bobo2bo$13bo2bobo2bo17bo2bobo2bo$13bo
2bobo2bo17bo2bobo2bo7bo22bo$15bo3bo21bo3bo8bo18b7o$53bo15bob2obob3o$53b
o14bo2bob6o$31bo44b4o$29b3o21bo17bo3bo2bo$3bo24b3o16bob2o3b2o$ob3obo21b
3o14bob8o$obobobo21b3o13b3o2b7o$ob3obo21b3o13bobo2b7o$3bo24bobo11bobo
7b4obo$29bo15bo6bo4bo$28bobo7bo13b2o$38b2o12bo2bo$47bo4bo3bobo$47bo4b
2ob2o$49bo10$49bo$47bo4b2ob2o$47bo4bo3bobo$38b2o12bo2bo$28bobo7bo13b2o
$29bo15bo6bo4bo$3bo24bobo11bobo7b4obo$ob3obo21b3o13bobo2b7o$obobobo21b
3o13b3o2b7o$ob3obo21b3o14bob8o$3bo24b3o16bob2o3b2o$29b3o21bo17bo3bo2b
o$31bo44b4o$53bo14bo2bob6o$53bo15bob2obob3o$15bo3bo21bo3bo8bo18b7o$13b
o2bobo2bo17bo2bobo2bo7bo22bo$13bo2bobo2bo17bo2bobo2bo$13bo2bobo2bo17b
o2bobo2bo$15bo3bo21bo3bo!

Naszvadi · Post by **Naszvadi** » April 20th, 2022, 1:10 pm

pzq_alex wrote: ↑
April 19th, 2022, 10:08 am
Sarah wrote: ↑
April 19th, 2022, 10:04 am
I think this is a different cordership, ignore otherwise
Code: Select all
rle
Wrong phase. Corrected:
Code: Select all
rle

Code: Select all

#C [[ TRACK 1/2 0 ZOOM 3 ]]
x = 63, y = 14, rule = B0136/S03
b2obo$3bo10bobo10b2o11bobo$3bo3bobobobo3bobobobo9bobobobo3bobobobo$7bo
bob9obobo9bobob9obobo$2bo4bobobobo3bobobobo9bobobobo3bobobobo$2o12bobo
23bobo4$47bobobo3bobobo$25bo18bob2obob5obob2obo$44bobo3b7o3bobo$44bob
2obob5obob2obo$47bobobo3bobobo!

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Re: Miscellaneous Discoveries in Other Cellular Automata

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