Rules 1 transition from Life

For discussion of other cellular automata.
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May13
Posts: 1085
Joined: March 11th, 2021, 8:33 am

Re: Rules 1 transition from Life

Post by May13 »

More results (see previous page):

Code: Select all

x = 9, y = 10, rule = B1e3/S23
2b2o$bo2bo$o2b2o$2obo$3bobo$3bobo$2obob3o$2obo4bo$4b3obo$6b2o!

Code: Select all

x = 10, y = 9, rule = B34k/S23
7bo$bo4bobo$b3o2bobo$4bobob2o$3b2obo$3bob2o$2obo$o2bo$b2o!

Code: Select all

x = 11, y = 8, rule = B34i/S23
4b2o$3bo2bo$o3bobo$4obob2obo$3bobobob2o$2b2obo$2bo2bo$3b2o!

Code: Select all

x = 7, y = 12, rule = B34n/S23
bo2bo$b4o2$b4o$obo2bo$o2bobo$b3ob2o2$b6o$bo4bo$3b3o$2b2o!

Code: Select all

x = 8, y = 7, rule = B34y/S23
2o4b2o$obobo2bo$2bob3o$bobo$bob2o$2bo2bo$3b2o!

Code: Select all

x = 9, y = 9, rule = B34q/S23
5b2obo$5bob2o$2b2obo$2b2obo$4bo$4o$o$bo$2o!

Code: Select all

x = 6, y = 8, rule = B34t/S23
2ob2o$bobobo$bo3bo$2b3o2$2b3o$2bo2bo$4b2o!

Code: Select all

x = 5, y = 7, rule = B34z/S23
2o$o2b2o$b2obo2$ob2o$2o2bo$3b2o!
Rotor with 1 cell is not possible in B34j/S23 and B34w/S23 as well as in B34e/S23:

Code: Select all

x = 15, y = 5, rule = B34jw/S23History
4BD5.4BD$B2E2B5.B2E2B$2BCEB5.2BCEB$2BE2B5.3BEB$4BD5.5B!
Updated list:

Code: Select all

Possible:
B3/S23-(cekinyqr)
B1e3/S23
B34(ckinyqtz)/S23
B36i/S23
Impossible:
B3/S23Xx
B3/S23-(aj)
B1c3/S23
B2x3/S23
B34(eajrw)/S23
B35(ckainqj)/S23
B36(cekan)/S23
B37(ce)/S23
B38/S23
B3-x/S23
Special status:
B03/S23
Now only B35x/S23 remain.
Edit:

Code: Select all

x = 7, y = 8, rule = B35e/S23
b2ob2o$obobobo$o5bo$b5o2$3bo$2bobo$3bo!

Code: Select all

x = 5, y = 7, rule = B35r/S23
3b2o$4bo$b3o$o$ob2o$bo2bo$3b2o!
1-cell rotor is impossible in B35y/S23:

Code: Select all

x = 5, y = 4, rule = B35y/S23History
D3BD$2BE2B$BECEB$BEBEB!
Complete list:

Code: Select all

Possible:
B3/S23-(cekinyqr)
B1e3/S23
B34(ckinyqtz)/S23
B35(er)/S23
B36i/S23
Impossible:
B3/S23Xx
B3/S23-(aj)
B1c3/S23
B2x3/S23
B34(eajrw)/S23
B35(ckainyqj)/S23
B36(cekan)/S23
B37(ce)/S23
B38/S23
B3-x/S23
Special status:
B03/S23
Edit 2: all oscillators in 1 pattern:

Code: Select all

x = 267, y = 29, rule = StateInvestigator
4.2J14.2A.2A.2A2.A.A9.2A18.A24.A16.2A15.A2.A15.2A4.2A17.2A.A11.2A.2A
15.2A19.2A.2A17.2A18.A$.C2.J.J14.A.2A.A2.A.2A8.A2.A16.A.A17.A4.A.A14.
A2.A14.4A15.A.A.A2.A17.A.2A12.A.A.A14.A2.2A15.A.A.A.A17.A17.A.A$3C.2J
14.A7.2A10.A2.2A16.A.A17.3A2.A.A11.A3.A.A35.A.3A15.2A.A15.A.J.A15.2A.
A15.A2.J2.A14.3A18.AJA$.C2.J.J14.5A3.A.2A7.2A.A16.2A.2A19.A.A.2A10.4A
.A.2A.A10.4A16.A.J18.AJ.A16.3A17.J18.5A14.A.J17.A.A.A.A$4.2J16.A2.A3.
A.2A10.A.J16.J20.AJ.A16.J.A.A.2A9.A.J2.A15.A.2A19.A35.A.2A36.A.2A16.
2A3.2A$20.A7.2A13.A.A14.2A.2A18.A.2A15.2A.A14.A2.A.A16.A2.A14.4A18.3A
15.2A2.A18.A17.A2.A$20.2A4.J4.2A7.2A.A.3A13.A.A16.2A.A18.A2.A15.3A.2A
16.2A15.A21.A2.A17.2A17.A.A18.2A$23.2A7.A7.2A.A4.A12.A.A16.A.2A19.2A
20.A35.A22.2A37.A$20.2A.A3.A2.A13.3A.A13.A58.3A.A34.2A$20.2A.A3.5A14.
2A73.A2.A$23.2A7.A89.2A$20.2A.A2.A.2A.A$20.A.A2.2A.2A.2A8$5.2K14.A18.
2A3.2A14.A2.2A14.2A3.2A17.A15.2A.A.A.2A15.2A16.2A$4.K15.A.A.2A.A13.A
3.A14.A.A2.A14.A2.J2.A16.A.A14.A.2A.2A.A14.A.A15.A2.A.2A$3C2.K15.2A.A
.2A13.A.A.A14.A.J2A16.5A15.3A.A18.J18.A17.2A.A.2A$6.K16.J18.AJA16.A
38.A4.3A13.2A.A.2A12.2A.AJ17.J.A$4.2K15.2A39.3A16.3A17.3A4.A12.2A.2A.
A12.A.A2.A14.A.A.A$21.A18.7A17.A16.A2.A18.A.3A34.A.2A14.2A.A.2A$22.A
17.A5.A36.2A19.JA36.A20.A2.A$21.2A18.3A97.2A20.A.A$43.A120.A!
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carsoncheng
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Re: Rules 1 transition from Life

Post by carsoncheng »

The middleweight Schick engine is especially common b34ks23 (7 occurrences in just 12 billion objects!) because of this reaction:

Code: Select all

x = 9, y = 17, rule = B34k/S23
3b3o$2bo3bo$bo5bo$bo2bo2bo$b2obob2o$3bobo3$4bo$4bo$4bo2$3o3b3o2$4bo$4b
o$4bo!
Also, MWSS on MWSS 1 is very common as well (794 occurrences in the same amount of objects!) because of a combination of a few reactions (left: blinker + perturbed honey farm; right: perturbed pi):

Code: Select all

x = 39, y = 11, rule = B34k/S23
$o5bo$o5bo$o5bo22bo5bo$bo3bo21b2obo3bob2o$2b3o21bo3bo3bo3bo$26bo4bobo
4bo$26b2ob2o3b2ob2o$3bo$3bo$3bo!
There is also one reaction that works if you add S4c:

Code: Select all

x = 9, y = 8, rule = B34k/S234c
3b3o$2bo3bo$2b2ob2o4$2o5b2o$2o5b2o!
The MWSS is also common in general; there are about 4.5 times as many MWSSes as there are LWSSes in the C1 census.
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confocaloid
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Re: Rules 1 transition from Life

Post by confocaloid »

May13 wrote: April 25th, 2023, 10:21 am Today I asked myself a question: in which rules (1 transition from Life) oscillators with 1-cell rotor are possible (or impossible)?
...
May13 wrote: April 25th, 2023, 11:53 am Complete list:
...
Edit 2: all oscillators in 1 pattern:
...
Two different ways how 5 essentially different oscillators with 1-cell rotor can work in one INT rule. Can 6 different 1-cell-rotor oscillators coexist in a single rule?

Code: Select all

x = 43, y = 24, rule = B34ck/S23-cey
bo$obob2obo8b2o3b2o$b2obob2o9bo3bo$17bobobo12b2obobob2o$b2o15bobo13bob
2ob2obo$bo$2bo13b7o12b2obob2o$b2o13bo5bo12b2ob2obo$17b3o$19bo6$9bo3bo
20bo$8bobobobo13bo4bobo$9b2ob2o14b3o2bobo$31bobob2o$9b2ob2o16bo2bo$8bo
bobobo15bob2o$9bo3bo13b2obo$27bo2bo$28b2o!

Code: Select all

x = 44, y = 26, rule = B34ck5e/S23-cy
bo$obob2obo$b2obob2o10b2obobob2o11bo3bo$18bob2ob2obo10bobobobo$b2o35b
2ob2o$bo17b2obob2o$2bo16b2ob2obo12b2ob2o$b2o34bobobobo$38bo3bo8$14bo$
8bo4bobo$8b3o2bobo16b2ob2o$11bobob2o14bobobobo$10bo2bo17bo5bo$10bob2o
18b5o$7b2obo$7bo2bo23bo$8b2o23bobo$34bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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squareroot12621
Posts: 706
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Re: Rules 1 transition from Life

Post by squareroot12621 »

confocaloid wrote: May 16th, 2023, 11:47 pm …Can 6 different 1-cell-rotor oscillators coexist in a single rule?

Code: Select all

x = 43, y = 24, rule = B34ck/S23-cey
bo$obob2obo8b2o3b2o$b2obob2o9bo3bo$17bobobo12b2obobob2o$b2o15bobo13bob
2ob2obo$bo$2bo13b7o12b2obob2o$b2o13bo5bo12b2ob2obo$17b3o$19bo6$9bo3bo
20bo$8bobobobo13bo4bobo$9b2ob2o14b3o2bobo$31bobob2o$9b2ob2o16bo2bo$8bo
bobobo15bob2o$9bo3bo13b2obo$27bo2bo$28b2o!

Code: Select all

x = 44, y = 26, rule = B34ck5e/S23-cy
bo$obob2obo$b2obob2o10b2obobob2o11bo3bo$18bob2ob2obo10bobobobo$b2o35b
2ob2o$bo17b2obob2o$2bo16b2ob2obo12b2ob2o$b2o34bobobobo$38bo3bo8$14bo$
8bo4bobo$8b3o2bobo16b2ob2o$11bobob2o14bobobobo$10bo2bo17bo5bo$10bob2o
18b5o$7b2obo$7bo2bo23bo$8b2o23bobo$34bo!
Of course!

Code: Select all

x = 44, y = 36, rule = B34ck5e6i/S23-ciy4j
bo$obob2obo$b2obob2o10b2obobob2o11bo3bo$18bob2ob2obo10bobobobo$b2o35b
2ob2o$bo17b2obob2o$2bo16b2ob2obo12b2ob2o$b2o34bobobobo$38bo3bo8$14b2o
$8bo4bobo$8b3o2bo18b2ob2o$11bobo17bobobobo$10bo2bob2o14bo5bo$10bob2ob
2o15b5o$7b2obo$7bo2bo23bo$8b2o23bobo$34bo7$16b2ob2o$17bobo$15bobobobo
$15b2o3b2o!
Edit: It's possible to do 8:

Code: Select all

x = 44, y = 38, rule = B3-nq4ckqz5e6i/S23-ciy4j
bo$obob2obo$b2obob2o10bo2bobo2bo11bo3bo$18b4ob4o10bobobobo$b2o35b2ob2o
$bo17b2obob2o$2bo16b2ob2obo12b2ob2o$b2o34bobobobo$38bo3bo8$14b2o$8bo4b
obo$8b3o2bo18b2ob2o$11bobo17bobobobo$10bo2bob2o14bo5bo$10bob2ob2o15b5o
$7b2obo$7bo2bo23bo$8b2o23bobo$34bo7$16b2ob2o10b2o2b2o$5b2obo8bobo11b2o
3bo$2obobob2o6bobobobo11b3o$ob2o11b2o3b2o11bo$31bobo$31b2o!
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Period1GliderGun
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Re: Rules 1 transition from Life

Post by Period1GliderGun »

squareroot12621 wrote: May 17th, 2023, 8:11 pm Edit: It's possible to do 8:

Code: Select all

x = 44, y = 38, rule = B3-nq4ckqz5e6i/S23-ciy4j
bo$obob2obo$b2obob2o10bo2bobo2bo11bo3bo$18b4ob4o10bobobobo$b2o35b2ob2o
$bo17b2obob2o$2bo16b2ob2obo12b2ob2o$b2o34bobobobo$38bo3bo8$14b2o$8bo4b
obo$8b3o2bo18b2ob2o$11bobo17bobobobo$10bo2bob2o14bo5bo$10bob2ob2o15b5o
$7b2obo$7bo2bo23bo$8b2o23bobo$34bo7$16b2ob2o10b2o2b2o$5b2obo8bobo11b2o
3bo$2obobob2o6bobobobo11b3o$ob2o11b2o3b2o11bo$31bobo$31b2o!
That rule actually has a ninth:

Code: Select all

x = 7, y = 7, rule = B3-nq4ckqz5e6i/S23-ciy4j
2o3b2o$o2bo2bo$b5o2$3bo$2bobo$3bo!
More discussion of rotors should probably be moved to the Misc. Discoveries in OCA thread.
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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squareroot12621
Posts: 706
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Re: Rules 1 transition from Life

Post by squareroot12621 »

Did you know that all lakes are dependent on S2k? This means I can do a magic trick.

Code: Select all

x = 54, y = 35, rule = B3/S2-k3
b2o8b2o14b2o14b2o$o2bo6bo2bo12bo2bo12bo2bo$o2bo6bo2bo12bo2bo12bo2bo$b
2o5b2o4b2o8b2o4b2o8b2o4b2o$7bo8bo6bo8bo6bo8bo$7bo8bo6bo8bo6bo8bo$8b2o
4b2o5b2o7b2o5b2o10b2o$10bo2bo6bo8bo6bo14bo$10bo2bo6bo8bo6bo14bo$11b2o
8b2o4b2o8b2o10b2o$23bo2bo12bo8bo$23bo2bo12bo8bo$24b2o14b2o4b2o$42bo2b
o$42bo2bo$43b2o4$10b2o11b2o4b2o14b2o$9bo2bo9bo2bo2bo2bo12bo2bo$9bo2bo
9bo2bo2bo2bo12bo2bo$7b2o4b2o5b2o4b2o4b2o8b2o4b2o$6bo8bo3bo14bo6bo8bo$
6bo8bo3bo14bo6bo8bo$4b2o7b2o5b2o4b2o4b2o5b2o10b2o$3bo8bo9bo2bo2bo2bo6b
o14bo$3bo8bo9bo2bo2bo2bo6bo14bo$b2o7b2o11b2o4b2o8b2o4b2o4b2o$o8bo31bo
2bo2bo2bo$o8bo31bo2bo2bo2bo$b2o4b2o33b2o4b2o$3bo2bo$3bo2bo$4b2o!
[[ AUTOSTART Y -5 GPS 60 THEME Mono T 0 LABELT 0 0 0 LABEL 27 -5 5 "3, 2, 1," PAUSE 3 ]]
[[ LABELT 1 1000 0 LABELVIEWDIST 100 LABEL 27 -5 4 "POOF!" LOOP 120 ]]
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breaker's glider gun
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Re: Rules 1 transition from Life

Post by breaker's glider gun »

some fun still lives:

Code: Select all

x = 34, y = 46, rule = B3-e/S23
16bo$12b2obobobo$12b2obo2b2o$15bo$12b3ob4o$11bo3bo4bo$12bo2bob3o$13bo
bobo$12b2obobo$16bo6$10bobo$9bobobobo$8bo2bo2b2o11bobo$7bo3bo14bobobo
$8b3ob4o9bo2bob3o$11bo4bo7bo3bo4bo$8b2obob3o9b3ob4o$9bobobo14bo4bo$9b
obobo11b2obob3o$10bobo13bobobo$26bobobo$27bobo11$4b2o4bo$bo2bo2bobobo
$obobob2obob3o$bob2obo2bo4bo$7b2ob4o$bob2obo2bo4bo$obobob2obob3o$bo2b
o2bobobo$4b2o4bo!
OH WOW THE FIRST EXISTS IN LIFE
WHAT IS IT CALLED AND HAS IT EVER BEEN SPOTTED IN THE WILD? (in soup)
mango far more common (through multiple reactions,) net without the center cell exists.
:?: :?: . . . :!:
Give me a suggestion of something interesting to draw here!
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LaundryPizza03
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Re: Rules 1 transition from Life

Post by LaundryPizza03 »

breaker's glider gun wrote: June 8th, 2023, 4:13 pm some fun still lives:

Code: Select all

x = 34, y = 46, rule = B3-e/S23
16bo$12b2obobobo$12b2obo2b2o$15bo$12b3ob4o$11bo3bo4bo$12bo2bob3o$13bo
bobo$12b2obobo$16bo6$10bobo$9bobobobo$8bo2bo2b2o11bobo$7bo3bo14bobobo
$8b3ob4o9bo2bob3o$11bo4bo7bo3bo4bo$8b2obob3o9b3ob4o$9bobobo14bo4bo$9b
obobo11b2obob3o$10bobo13bobobo$26bobobo$27bobo11$4b2o4bo$bo2bo2bobobo
$obobob2obob3o$bob2obo2bo4bo$7b2ob4o$bob2obo2bo4bo$obobob2obob3o$bo2b
o2bobobo$4b2o4bo!
OH WOW THE FIRST EXISTS IN LIFE
WHAT IS IT CALLED AND HAS IT EVER BEEN SPOTTED IN THE WILD? (in soup)
mango far more common (through multiple reactions,) net without the center cell exists.
In standard Life there is one occurrence of xs35_0mkihegmmz122egf0ca1 in D8_4.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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LaundryPizza03
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Re: Rules 1 transition from Life

Post by LaundryPizza03 »

New p16 B-heptomino sidecar for the heavyweight spaceship:

Code: Select all

x = 7, y = 11, rule = B35n/S23
b6o$o5bo$6bo$o4bo$2b2o3$2b2o$2bobo$4bo$2b3o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
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Period1GliderGun
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Re: Rules 1 transition from Life

Post by Period1GliderGun »

p12 in B3-n/S23:

Code: Select all

x = 20, y = 20, rule = B3-n/S23
13b2o$12bo2bo$12bo2bo$13b2o$b2o$o2bo4b2o2b2o$o2bob3obobobo$b2o2bo3bobobo$6b3o
2bo2bo$12b3o$5b3o$5bo2bo2b3o$6bobobo3bo2b2o$6bobobob3obo2bo$6b2o2b2o4bo2bo$
17b2o$5b2o$4bo2bo$4bo2bo$5b2o!
Last edited by Period1GliderGun on July 1st, 2023, 5:20 pm, edited 2 times in total.
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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Gustone
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Re: Rules 1 transition from Life

Post by Gustone »

p90

Code: Select all

x = 29, y = 46, rule = B34t/S23
22bo$20b3o$19bo$19b2o3bo$23bobo$17bo5bobo$16bobo3b2ob3o$19bo8bo$7b2o
10bo2b2ob3o$7b2o13b2obo$14bo3bo$17bo$14bobo$3b2o$4bo$4bobo$5b2o4$15bo$
15bo$14bobo$15bo$15bo2$10bo$8b2ob2o$10bo$22b2o$15bo6bobo$15bo8bo$14bob
o7b2o$15bo$15bo2$3bob2o13b2o$b3ob2o13b2o$o$b3ob2o$3bobo$3bobo$4bo3b2o$
9bo$6b3o$6bo!
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Period1GliderGun
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Re: Rules 1 transition from Life

Post by Period1GliderGun »

Small c/3 and c/4 spaceships in B3-n/S23:

Code: Select all

x = 23, y = 9, rule = B3-n/S23
3bo$2bobo$bo3bo$2b3o2$2o3b2o8b2o$2o3b2o7bob2ob3o$b2ob2o9b2obobobo$21b
o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
Chai
Posts: 105
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Re: Rules 1 transition from Life

Post by Chai »

A 27c/118 diagonal puffer in the same rule:

Code: Select all

x = 36, y = 11, rule = B3-n/S23History
30.C$29.C.2C$28.2C.2C$29.C.2C$29.2C2$.2C5.C17.2C$2C6.2C3.2C11.2C6.2C$
.2C3.2C6.C$2.C3.2C4.C.C14.C.C$7.7C15.2C!
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Gustone
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Re: Rules 1 transition from Life

Post by Gustone »

c/2 fuse

Code: Select all

x = 14, y = 39, rule = B34j/S23
b3o$bo2bo4b3o$o3bo4bo2bo$3o2bo3bo$b4o4bo3bo$9bo3bo$9bo$10bobo3$4b3o4$
4b3o4$4b3o4$4b3o$4bo2$2bo$b2o$2bobobo$2b2o4bo$2bo4bob2o$2bo4bobo$2bo3b
3o$3b3o$4bo3b2o$7bo2bo$8b2o2$3bo$3bo!
Look at the right side

Code: Select all

x = 19, y = 7, rule = B34j/S23
2b3o10b3o$bo2bo10bo2bo$bo4bo7bo2b2o$2obo10b2o$2obo$2b2o2bo$3b3o!
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confocaloid
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Re: Rules 1 transition from Life

Post by confocaloid »

p93 oscillator with 20 transparent blocks in b3s234e

Code: Select all

x = 140, y = 140, rule = B3/S234e
86bo$60b2o22b3o$47b2o12bo14b2o5bo$48bo11bo13b3obo4b2o$48bobo9b2o11bo4b
o$49b2o23b3obob2o$76bobo2bo$79b2o3$61b2o$59b2o2bo$59b2ob2o$60b3o25b2ob
o$88bob2o2$81b2o$81b2o11$53b2o$53b2o4$81b2o$79bobo$78bo$77b2ob2o$78bo
2bo$79b2o$54bo$53b3o$52b2o2bo4$51bo$52b2o$52b3o2b2o78bo$13b2o38b2o2b2o
76b3o$14bo41b3o75bo$13bo37bobo2b2o76b2o$13b2o38bo33bobo4bo$51b3o8bob2o
21bo4b2o4bo$2o60b2obo21b3ob3o4b2o10b2o$bo89b2o6b2o9b2o$bobo95bo$2b2o
85b2o7bo$16b2o15bo55b4o$5b2o9b2o15b2ob2o52b3o$5bobo28bobo88b2o$7bo26bo
3bo87b3o6b2obo$3b4o28b3o37b2o49bo2bo5bob2o$2bo33bo37bobo9b2o38b2obo$2b
2ob2o54b2o11bo11bo40b2o$3bobo55bo11b2o12bo$3bobo56b3o21b2o$4bo59bo7$
75bo59bo$52b2o21b3o56bobo$52bo12b2o11bo55bobo$11b2o40bo11bo11b2o54b2ob
2o$10bob2o38b2o9bobo37bo33bo$b2obo5bo2bo49b2o37b3o28b4o$bob2o6b3o87bo
3bo26bo$11b2o88bobo28bobo$47b3o52b2ob2o15b2o9b2o$47b4o55bo15b2o$41bo7b
2o85b2o$40bo95bobo$28b2o9b2o6b2o89bo$28b2o10b2o4b3ob3o21bob2o60b2o$41b
o4b2o4bo21b2obo8b3o$45bo4bobo33bo38b2o$4b2o76b2o2bobo37bo$5bo75b3o41bo
$2b3o76b2o2b2o38b2o$2bo78b2o2b3o$86b2o$88bo4$83bo2b2o$84b3o$85bo$59b2o
$58bo2bo$58b2ob2o$61bo$58bobo$57b2o4$85b2o$85b2o11$57b2o$57b2o2$48b2ob
o$48bob2o25b3o$76b2ob2o$76bo2b2o$77b2o3$59b2o$58bo2bobo$58b2obob3o23b
2o$61bo4bo11b2o9bobo$55b2o4bob3o13bo11bo$56bo5b2o14bo12b2o$53b3o22b2o$
53bo!
#C [[ THEME Fire ]]
It uses this alien dependent conduit (H to B)

Code: Select all

x = 36, y = 45, rule = B3/S234e
25bo$24bobo$24bob2o3$b2o$3ob2o$b2ob3ob2o$3ob2o2b2o$2o2$32b2o$32bo$33b
3o$35bo16$25bo$24bobo$24bob2o3$4bo$4bo$4b3ob2o$6bob2o3$32b2o$32bo$33b
3o$35bo!
(1TFL, toggled S4e)
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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Period1GliderGun
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Re: Rules 1 transition from Life

Post by Period1GliderGun »

B34c/S23 is omniperiodic. Here are non-trivial oscillators of periods 1-42:

Code: Select all

x = 180, y = 258, rule = B34c/S23
125b2o$70bo54b2o$69bobo45b3o36b2o$70bo45bo3bo27b2o6bobob2o$5b2o84b2o8b
o13bo5bo27bo8bobobo7bo$5b2o84b2o6b3o13bo5bo27bobo5bo2bo2bo5bobo$64bob
2obo3b2o23bo16bo5bo28b2o5b2o2b2o7bo$63bobo3bo3b2o23b2o5b2o9bo3bo2b2o$
69bo36b2o9b3o3bobo$62bo42bo19bo20b2o$5b3o49b2o3bo3bobo26b3o27b2o20bo$
35bo21b2o3bob2obo26bo3bo48bobo3b3o12b3o$33b3o57bo5bo48b2o2bo3bo10bo3b
o$31b2o3bo57bo3bo52bo5bo8bo5bo$6bo25bo3bo24bo33b3o24bo28bo5bo8bo5bo$4b
o3b4o20bo3b2o22bobo60b2o26bo5bo8bo5bo$4bo3bo24b3o25bo60b2o28bo3bo10bo
3bo2b2o$4bo28bo119b3o12b3o3bobo$7bo168bo$5b2o169b2o2$30bobo$30bobo2b3o
15b2o98bo7b2o2b2o5b2o$6bobo24bo2bo17bo97bobo5bo2bo2bo5bobo$9bo21bo3b3o
16bobo13b3o26b2o52bo7bobobo8bo$5bo2bo24bo2bo18b2o3bo8bo3bo24b2o62b2ob
obo6b2o$4bobobo21bobo2b3o21bob2o6bo4bo25bo24b3o38b2o$4bo2bo22bobo25bo
4bo6b2obo50bo3bo$5b2o52bo3bo8bo3b2o45bo5bo$60b3o13bobo45bo3bo$12b2o64b
o17b2o27b3o$11bobo64b2o17bo19bo$31b3o63bobo3b3o9b2o$9bob2o85b2o2bo3bo
9b2o5b2o$33bo67bo5bo16bo34bo$7bobo23b2o66bo5bo13b3o6b2o27bo$32bo29bo38b
o5bo13bo8b2o27bo$5bobo27bo26b3o4b2o31bo3bo51b2o$31bo3bo29bo3b2o32b3o50b
o$3bobo30b2o26b2o30b2o57bo4bo$2bo2bo21b2o2b3o5bo56b2o57bo$2b2o23b2o5b
o4b2obo33b2o79b3o$34bo3bo3bo17b2o14bo$34bobo5bo17bo13bobo$62bo11b2o89b
o7b2o$61b2o6bo78b2o15b2o5bobo$4b2o27b2o25bo6b3o79bo15bob2o3b2o$2obo29b
2o24bob2o4bobo79bobo15b2o7b2o$2o2bo2bo50bo2bobo5bo80b2o7b2o15bobo$5bo
bo50b2o2bo91b2o3b2obo15bo$6bo100b2o44bobo5b2o15b2o$73b2o31bobo8b2o34b
2o7bo$5b2o59b2o5bobo20b2o8bobo8b2o$5b2o30bo7b2o20bo7bo20b2o8b2o$20b2o
15b2o5bobo17b3o8b2o$21bo15bob2o3b2o18bo$21bobo15b2o7b2o$22b2o7b2o15bo
bo$3b2o21b2o3b2obo15bo62bo$3bo21bobo5b2o15b2o49b2o9bobo$8bo16b2o7bo66b
o10bobo$b6obo51b2o40b3o5b3ob2o$bo58b2obo8bo31bo5bo2bo$2b2ob2o3b2o52bo
5bo3b4o32b2obo$3bobo4bobo48bo8bo3bo26bo7bo2bo$3bobo6bo49bob2o4bo25b4o
3bo4b4o$4bo7b2o50b2o7bo25bo3bo$71b2o30bo6b2o$100bo10bo$101b2o7bo$29bo
4bo75b2o$27b2ob4ob2o23bo$3b2o24bo4bo25b3o$3b2obo56bo$7bo54b2o$4bo98bo
$5bob2o57bo36b3o$7b2o57b2o38bo$33b2o32b2o36b2o$30bo2b2o29b2o$29bo4bo29b
3o43bo$29bo4bo38b3o35b2o$3b2o29bo39b2o24bo$4bo23b2obobo37b2o26bobo8bo
bo4b3o$4bob2o20b2ob2o39b2o24bo3bo7b2o6bo$3b2obobo64bo25bobo$9bo23b3o58b
2o4bo$7b3o66b2o15bobo$2b2o6b2o64bo16bo26b2o$2bo2bob2obo66b3o12b2o6bo14b
o4bo$4b2obo2bo22bo45bo20b2o14b2o3b3o$8b2o22bobo67bo12b2o6bo8b2o$33bo66b
obo29bo$38bo22bo38b2o28bobo$27bo9bobo21b3o66b2o$10b2o14bobo9bo6b2o17b
o$10bo2bo11bobo5b2o11bo16b2o11b2o17b2o$6bo4bo3bo9b2o5b2o12bob2o26b2o5b
2o9bobo28b2o$7b2o3bob2o7b2o8b2o2bo7b2o2bo33bo10bo29bobo$22bo2b2o7bo2b
2o8b2o10bo21bobo9b2o8bo6b2o12bo$3b2obo3b2o10b2obo12b2o5b2o13b2o19b2o20b
3o3b2o14b2o$3bo3bo4bo12bo11b2o5bobo11b2o5bo11bo28bo4bo14bo6b2o$5bo2bo
16b2o6bo9bobo14bo3bobo9b2o27b2o26bo$7b2o23bobo9bo20b2o9bobo3bo48bobo$
33bo31bo11bo5b2o41bo4b2o$38bo21b2o19b2o42bobo$37bobo19bobo21bo24bo6b2o
7bo3bo$38bo20bo47b3o4bobo8bobo$58b2o5b2o59bo$32b2o31b2o11b2o34b2o$28b
2obo46bo37bo$28b2o2bo2bo43b3o$33bobo45bo38b2o$34bo85bo$121b3o$33b2o39b
2o47bo$33b2o3b2ob2o31b2o$38b2ob2o2$125b2o$36b2o78bo7bobo$35b4o33b2o40b
3o8bo$34bo2bobo33b2o38bo$33bobo2b2o29bo4bo38b2o$32bobo34bo3bo46bo$31b
2o36b2o7b3o39bobo$31b3o44bo42b3o3b2o$32bobo70b2o20b2o$33b2o24b2o21bo22b
2o3b3o$59b2o5b2o11bob2o28bobo$65b2obo11b2o5b2o24bo$65bo21b2o30b2o$28b
2o90bo$28bo40bo38bo8b3o$25b2obo10bo27b3o7b2o28bobo7bo$25bo2b2o9b3o32b
o3bo28b2o$27bo2bo11bo30bo4bo$25bob4o10b2o30b2o$24bobo47b2o$24bo2b4o12b
3o$25b2o3bo11bo3bo6b2o54b2o$27b2o5b3o4bo5bo4bobo55bo$27bo5bo3bo4bo3bo
5bo57bobo$25bobo4bo5bo4b3o5b2o19b2o37b2o$25b2o6bo3bo11bo3b2o17b2o43bo
$34b3o12b4o2bo60b2o$53bobo61bo$37b2o10b4obo$37bo11bo2bo$38b3o9b2o2bo18b
2o$40bo10bob2o17bo2bo$51bo19bobobo38bo$50b2o19bo2bo39b2o$70bo43bo$32b
2o37bobo45b2o$31bo2bo84bobo$30bobobo45bo7b2o31bo$30bo2bo29b2o15b2o5bo
bo31b2o$29bo34bo15bob2o3b2o$30bobo31bobo15b2o7b2o$65b2o7b2o15bobo$33b
2o34b2o3b2obo15bo15bo$31bo4bo31bobo5b2o15b2o14b3o14b2o$31bo4bo31b2o7b
o34bo13bo$31bo4bo74b2o11bobo$32bo2bo88b2o$30bobo2bobo78b2o$30b2o4b2o78b
3o$115bo2bo$116b2o$101b2o$66b2o5b3o26bo$67bo34bobo19b2o$67bobo33b2o19b
obo$68b2o10b2o44bo$80bo45b2o$78bobo30b2o$63bo8b3o3b2o7bo22bo2bo$63b3o
5bo3bo9b3o22b3o$66bo3bo5bo7bo26b2o$65b2o4bo3bo8b2o17b2o$72b3o4bo22bob
o11b2o$68bo9bobo21bo13bo$60bo6bobo7bo3bo19b2o14b3o$60bo5bo3bo6bo3bo5b
o31bo$60bo5bo3bo6bo3bo5bo$66bo3bo7bobo6bo$67bobo9bo$68bo4b3o$62b2o8bo
3bo4b2o32bo$63bo7bo5bo3bo32bo2bo$60b3o9bo3bo5b3o29bo2bo2bo$60bo7b2o3b
3o8bo31bo3bo$67bobo50bo$67bo$66b2o10b2o$78bobo21bo$80bo21b3o$72b3o5b2o
23bo14bo$104b2o14b2o$119b2o2$110b2o$109b2o14b2o$110bo14bo$126b3o$72bo
bo53bo$72bo3bo$76bo$62b2o8bo4bo4b2o26bo$62b2o12bo5b2o26bo3bo$72bo3bo33b
o2bo2bo$72bobo38bo2bo$115bo9$107b2o4b3o$106bo$109bo5bo$105bo3bo5b2o$102b
4o3bo4bo$107bo9bo$113bo3bo$118b2o$109b2o2b3o5bo$109b2o5bo4b2obo$116bo
3bo3bo$116bobo5bo3$115b2o$115b2o4$122b2o$122b2o3$112bo$110bo2bo$110bo
$111bob2o$113b2o4b2o$119b2obo$123bo$120bo2bo$121bo3$110b2o$110b2o!
All periods 43+ can be achieved with the Snark loop.

EDIT: So is B3/S234c (the blinker eater is substituting for 204P41 because I'm too lazy to draw it)

Code: Select all

x = 160, y = 245, rule = B3/S234c
70bo$36bo32bobo$35bobo32bo$5b2o28bobo56b2obo2bob2o$5b2o17bob2o5b3ob2o
48b2o4bo2bo4bo2bo4b2o$24b2obo5bo2bo27bob2obo3b2o12b2o5bobo4bobo5b2o$33b
2obo26bobo3bo3b2o20bo6bo$32bo2bo33bo$31b4o27bo$5b3o49b2o3bo3bobo$33b2o
22b2o3bob2obo$34bo117b2o$33bo61bo6bo50bo$6bo26b2o26bo25b2o5bobo4bobo5b
2o40bo$4bo3b4o48bobo24b2o4bo2bo4bo2bo4b2o38b4o$4bo3bo52bo32b2obo2bob2o
44bo$4bo142bo2b3o$7bo25b2o113b2o2bo$5b2o20bobo2bobo115b2o$27bo2bo119b
o$26bo5bo118bo$26bob3o3bobo16b2o93b3o$6bobo16bo11bo16bo93bo$9bo16b3o4b
o2bo17bobo13b3o$5bo2bo19bo3bobobo18b2o3bo8bo3bo$4bobobo24bobo23bob2o6b
o4bo17b2o11b2o$5bobo26bo23bo4bo6b2obo18b2o11b2o$6bo52bo3bo8bo3b2o13bo
2bo9bo2bo$60b3o13bobo13bobo9bobo$12b2o64bo$11bobo64b2o11b3o11b3o$31b3o
57bo2bo9bo2bo$9bob2o77bo2bo11bo2bo$33bo57b2o13b2o35b2o$7bobo23b2o108b
2o$32bo29bo28b2o13b2o$5bobo27bo26b3o4b2o19bo2bo11bo2bo34bo$31bo3bo29b
o3b2o20bo2bo9bo2bo34bobo$3bobo30b2o26b2o25b3o11b3o34bo2bo2b2o$2bo2bo21b
2o2b3o5bo106bob2o$2b2o23b2o5bo4b2obo33b2o14bobo9bobo37b2o$34bo3bo3bo17b
2o14bo14bo2bo9bo2bo$34bobo5bo17bo13bobo15b2o11b2o$62bo11b2o16b2o11b2o
$61b2o6bo80b2o$4b2o27b2o25bo6b3o75b2o2b2obo5b2o$2obo29b2o24bob2o4bobo
75b2o3bobo5b2o$2o2bo2bo50bo2bobo5bo82bo$5bobo50b2o2bo91bo$6bo$31bo5bo
35b2o79bo$5b2o23bobo3bobo27b2o5bobo37bo38bo$5b2o23bo2bobo2bo28bo7bo25b
2o9bobo30b2o3bobo5b2o$32bo3bo27b3o8b2o24bo10bobo30b2o2b2obo5b2o$32b2o
b2o27bo37b3o5b3ob2o34b2o$104bo5bo2bo$110b2obo$3b2o96bo7bo2bo$3bo92b4o
3bo4b4o$8bo90bo3bo$b6obo51b2o41bo6b2o$bo58b2obo8bo27bo10bo$2b2ob2o3b2o
17bo4bo29bo5bo3b4o23b2o7bo$3bobo4bobo14b2ob4ob2o24bo8bo3bo35b2o$3bobo
6bo16bo4bo27bob2o4bo$4bo7b2o50b2o7bo$71b2o3$94b2o$33b2o25bo34bo2b2o$3b
2o25bo2b2o25b3o32bobobo3bo$3b2obo22bo4bo28bo32bo6b3o$7bo21bo4bo27b2o42b
o$4bo29bo57b2o11bo$5bob2o19b2obobo32bo24bo2bo10bo3bo$7b2o19b2ob2o33b2o
23bob2o14bo$67b2o21b2o16bo$33b3o28b2o23bo3b2o$64b3o23b3o2bo4b3o$73b3o
17b2obo2bo3bo4bo$3b2o69b2o16bo2bo2bo5bo4b2o5b3o$4bo66b2o19b2o4bo5bo3b
2o5bo3bo$4bob2o64b2o24bo5bo3bobo3bo5bo$3b2obobo16b2o46bo25bo3bo5b2o3b
o5bo4b2o$9bo16bo73b3o5b2o4bo5bo2bo2bo$7b3o16bobo9b2o36b2o32bo4bo3bo2b
ob2o$2b2o6b2o15b2o9bo37bo39b3o4bo2b3o$2bo2bob2obo25bobo38b3o44b2o3bo$
4b2obo2bo25b2o41bo30bo16b2o$8b2o20b2o77bo14b2obo$30b2ob2o74bo3bo10bo2b
o$33b2o26bo51bo11b2o$27b2o32b3o48bo$10b2o14bobo35bo48b3o6bo$10bo2bo12b
o9b2o25b2o11b2o37bo3bobobo$6bo4bo3bo9b2o9bobo37b2o5b2o34b2o2bo$7b2o3b
ob2o22bo44bo39b2o$38b2o19bo21bobo$3b2obo3b2o48b2o19b2o$3bo3bo4bo45b2o
5bo11bo$5bo2bo23b2o26bo3bobo9b2o$7b2o19b2obo33b2o9bobo3bo$28b2o2bo2bo
29bo11bo5b2o$33bobo24b2o19b2o$34bo24bobo21bo$59bo61b2o$33b2o23b2o5b2o
45bo7bobo$33b2o3b2ob2o22b2o11b2o30b3o8bo$38b2ob2o35bo30bo$79b3o27b2o$
81bo34bo$36b2o78bobo$35b4o78b3o3b2o$34bo2bobo34b2o25b2o20b2o$33bobo2b
2o34b2o25b2o3b3o$32bobo72bobo$31b2o76bo$31b3o81b2o$32bobo81bo$33b2o37b
2o30bo8b3o$73b2o28bobo7bo$69bo4bo28b2o$22b2o45bo3bo$22bo46b2o7b3o$19b
2obo10bo44bo$19bo2b2o9b3o$21bo2bo11bo22b2o21bo22b2o$19bob4o10b2o22b2o
5b2o11bob2o23bo$18bobo44b2obo11b2o5b2o17bobo$18bo2b4o12b3o25bo21b2o18b
2o$19b2o3bo11bo3bo6b2o64bo$21b2o5b3o4bo5bo4bobo20bo42b2o$21bo5bo3bo4b
o3bo5bo20b3o7b2o34bo$19bobo4bo5bo4b3o5b2o27bo3bo$19b2o6bo3bo11bo3b2o24b
o4bo$28b3o12b4o2bo23b2o$47bobo24b2o$31b2o10b4obo61bo$31bo11bo2bo63b2o
$32b3o9b2o2bo61bo$34bo10bob2o66b2o$45bo26b2o41bobo$44b2o26b2o43bo$117b
2o$69bo$32b2o34bobo$31bo2bo32bobobo$30bobobo32bo2bo34bo$30bo2bo32bo38b
3o14b2o$29bo37bobo38bo13bo$30bobo74b2o11bobo$120b2o$33b2o36b2o39b2o$31b
o4bo29b2o2b2obo5b2o31b3o$31bo4bo29b2o3bobo5b2o30bo2bo$31bo4bo36bo38b2o
$32bo2bo39bo21b2o$30bobo2bobo60bo$30b2o4b2o37bo22bobo19b2o$73bo25b2o19b
obo$66b2o3bobo5b2o41bo$66b2o2b2obo5b2o41b2o$71b2o34b2o$106bo2bo$106b3o
$107b2o$99b2o$98bobo11b2o$98bo13bo$66b2o5b3o21b2o14b3o$67bo47bo$67bob
o$68b2o10b2o$80bo$78bobo$63bo8b3o3b2o7bo23bo$63b3o5bo3bo9b3o22bo2bo$66b
o3bo5bo7bo25bo2bo2bo$65b2o4bo3bo8b2o26bo3bo$72b3o4bo36bo$68bo9bobo$60b
o6bobo7bo3bo$60bo5bo3bo6bo3bo5bo10bo$60bo5bo3bo6bo3bo5bo10b3o$66bo3bo
7bobo6bo13bo14bo$67bobo9bo20b2o14b2o$68bo4b3o39b2o$62b2o8bo3bo4b2o$63b
o7bo5bo3bo24b2o$60b3o9bo3bo5b3o20b2o14b2o$60bo7b2o3b3o8bo21bo14bo$67b
obo52b3o$67bo56bo$66b2o10b2o$78bobo$80bo25bo$72b3o5b2o24bo3bo$106bo2b
o2bo$109bo2bo$111bo5$72bobo$72bo3bo$76bo$62b2o8bo4bo4b2o$62b2o12bo5b2o
19b2o4b3o$72bo3bo25bo$72bobo30bo5bo$101bo3bo5b2o$98b4o3bo4bo$103bo9bo
$109bo3bo$114b2o$105b2o2b3o5bo$105b2o5bo4b2obo$112bo3bo3bo$112bobo5bo
3$111b2o$111b2o4$118b2o$118b2o3$108bo$106bo2bo$106bo$107bob2o$109b2o4b
2o$115b2obo$119bo$116bo2bo$117bo3$106b2o$106b2o!
EDIT: p8 "mini Schick engine" in B34c/S23:

Code: Select all

x = 7, y = 15, rule = B34c/S23
2b3o$b5o$b3ob2o$4b2o3$b2o$3o$b2o3$4b2o$b3ob2o$b5o$2b3o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
carsoncheng
Posts: 509
Joined: June 11th, 2022, 11:24 pm

Re: Rules 1 transition from Life

Post by carsoncheng »

It's almost certainly known, but here's an xq143 oblique wave in b35cs23:

Code: Select all

x = 84, y = 212, rule = B35c/S23
2bo$2obo$bobo$2bo23$12bo$10b2obo$11bobo$12bo23$22bo$20b2obo$21bobo$22b
o23$32bo$30b2obo$31bobo$32bo23$42bo$40b2obo$41bobo$42bo23$52bo$50b2ob
o$51bobo$52bo23$62bo$60b2obo$61bobo$62bo23$72bo$70b2obo$71bobo$72bo23$
82bo$80b2obo$81bobo$82bo!
EDIT: Corrected a typo on the period -- it should be 143, not 142.
Last edited by carsoncheng on August 14th, 2023, 11:26 am, edited 1 time in total.
hotdogPi
Moderator
Posts: 2268
Joined: August 12th, 2020, 8:22 pm

Re: Rules 1 transition from Life

Post by hotdogPi »

carsoncheng wrote: August 13th, 2023, 10:17 pm It's almost certainly known, but here's an xq142 oblique wave in b35cs23:

Code: Select all

x = 84, y = 212, rule = B35c/S23
2bo$2obo$bobo$2bo23$12bo$10b2obo$11bobo$12bo23$22bo$20b2obo$21bobo$22b
o23$32bo$30b2obo$31bobo$32bo23$42bo$40b2obo$41bobo$42bo23$52bo$50b2ob
o$51bobo$52bo23$62bo$60b2obo$61bobo$62bo23$72bo$70b2obo$71bobo$72bo23$
82bo$80b2obo$81bobo$82bo!
This could very well be unknown. It took a while for someone to find R + dot → moved R in 65 generations in Life, and people have looked at each individual rule in this category much less than Life itself.
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
carsoncheng
Posts: 509
Joined: June 11th, 2022, 11:24 pm

Re: Rules 1 transition from Life

Post by carsoncheng »

hotdogPi wrote: August 14th, 2023, 10:14 am This could very well be unknown. It took a while for someone to find R + dot → moved R in 65 generations in Life, and people have looked at each individual rule in this category much less than Life itself.
I mean, a single R-pentomino in that rule literally reappears translated 143 generations later:

Code: Select all

x = 4, y = 4, rule = B35c/S23
bo$b2o$o2bo$b2o!
[[ STOP 143 ]]
I guess that might have been glimpsed at (but dismissed) before.
User avatar
confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Rules 1 transition from Life

Post by confocaloid »

Period1GliderGun wrote: August 13th, 2023, 7:54 pm

Code: Select all

x = 44, y = 44, rule = B34c/S23
34bo$32b3o$31bo$26b2o4bo$26b2o5bo$29b3obo$27bobob2o$27bob2o2$2o27bo$b
o2b2o22b3o$bobo2bo$2bo2b2o$10bo5b3o$6b2o2b3o2bo3bo$4bob2o2bo3bo5bo$4b
obo7bo2bo2bo$4bo9b3ob3o$4bo8$38b3o$38b3o$33b3o3bo$32b5obo$33b4o2bo$36b
ob2obo$13b3o21bo2bobo$38b2o2bo$12bo3bo25b2o2$12bo2bo$11bo2b2o$10bobob
o2bo$10bob3o3bo$11bobobobo$12bo$9b3o$9bo!
p4 track that works at p44

Code: Select all

x = 198, y = 198, rule = B34c/S23:T198,198
87bo33b2o4bo$83b2o2b3o24b3o9bo$81bob2o2bo15b2o22b3o$81bobo19bob2o6bo3b
o11bo$81bo12bo10b2o$68b2o11bo12bo8bob2o7bo2bo$69bo2b2o19b2o8b2o9b2o2bo
$69bobo2bo37bo2bobobo$70bob2obo8b3o10bo13bo3b3obo$72bo2b4o4bo3bo5b2ob
4o12bobobobo$73bob5o8bo5bo5bo16bo$72bo3b3o2bo7bo4bo10b3o10b3o$71b3o15b
o16bo13bo$71b3o7bo7bo$59b2o21b2obob2o15bob2o$60bo2b2o32b2o5bobob2o$60b
obo2bo40b3obo$61bo2b2o37b2o5bo$69bo33b2o4bo$65b2o2b3o24b3o9bo$63bob2o
2bo11bob2o24b3o$63bobo14b5o10bo3bo11bo$63bo21bo$50b2o11bo17bo2bo11bo2b
o$51bo2b2o25bo2bo11b2o2bo$51bobo2bo19b3o15bo2bobobo$52bob2obo18bo16bo
3b3obo$54bo2b4o16bo16bobobobo$55bob5o14b2o2bo18bo$54bo3b3o6bo9b2o2b2o
4b3o10b3o$53b3o9b2ob2o7b2o4bo4bo13bo$53b3o9b2ob2o8bobo$41b2o37bob2o2bo
b2o$42bo2b2o34bo4bobob2o$42bobo2bo7b2o31b3obo$43bo2b2o13b2o22b2o5bo$
51bo3bobobobo23b2o4bo$47b2o2b3o3bobo18b3o9bo$45bob2o2bo7bo3b2o26b3o$
45bobo14bo2bo11bo3bo11bo$45bo15b6o$32b2o11bo32bo2bo$33bo2b2o40b2o2bo$
33bobo2bo37bo2bobobo$34bob2obo35bo3b3obo$36bo2b4o33bobobobo$37bob5o15b
o21bo$36bo3b3o15b3o8b3o10b3o$35b3o20bob2o8bo13bo$35b3o23b2o$23b2o23b3o
7bob2o6bob2o$24bo2b2o19b3o7b3o7bobob2o$24bobo2bo9b3o17bo10b3obo$25bo2b
2o12bo6bo17b2o5bo$33bo5bo2bo5b2o4bo12b2o4bo$29b2o2b3o4b2ob2o3b2o4bo5b
3o9bo$27bob2o2bo8bo2bo7bo19b3o$27bobo15bo13bo3bo11bo$27bo17bo$14b2o11b
o32bo2bo$15bo2b2o40b2o2bo$15bobo2bo37bo2bobobo$16bob2obo35bo3b3obo$18b
o2b4o33bobobobo$19bob5o37bo$18bo3b3o10b2o14b3o10b3o$17b3o14bo4b2o11bo
13bo$17b3o15b2o3b2o$5b2o32b2o9bob2o$6bo2b2o20b2o17bobob2o$6bobo2bo19bo
bo18b3obo$7bo2b2o19bobo15b2o5bo$15bo15b2o16b2o4bo$11b2o2b3o4bo12b3o4b
3o9bo$9bob2o2bo5b3o31b3o$9bobo8bo3bo8bo7bo3bo11bo$9bo10b2ob2o8b2o3bo$
9bo23b3o6bo2bo148b2o$2o33b3o4b2o2bo148bo$2bo13bo23bo2bobobo147bobo$2ob
o11bobo21bo3b3obo148bo$o2b4o3b2o5bo22bobobobo$bob5o4bo4b2o26bo$o3b3o
26b3o10b3o$2o14bo4bo12bo13bo148bo$2o14bo4bo175bo$16bo4bo10bob2o149b2o$
18b2o12bobob2o148bo2b2o$34b3obo147bobo2bo$31b2o5bo148bo2b2o$14bo16b2o
4bo157bo$13b3o8b3o9bo154b2o2b3o$12b2ob2o20b3o149bob2o2bo$13b2ob2o5bo3b
o11bo149bobo$4bo8b2ob3o170bo$3bobo7b2ob2o6bo2bo148b2o11bo$2b2ob2o5b2ob
2o7b2o2bo148bo2b2o11b2o$2b2obo7b3o6bo2bobobo147bobo2bo9b3o$3bobo8b2o5b
o3b3obo148bob2obo8bo2bo$5bo16bobobobo151bo2b4o5b2obo$4bo22bo153bob5o5b
o3bo$bo13b3o10b3o149bo3b3o6b2o$2o14bo13bo148b3o13b3o$o178b3o$14bob2o
149b2o$14bobob2o148bo2b2o$16b3obo147bobo2bo$13b2o5bo148bo2b2o$13b2o4bo
157bo$6b3o9bo154b2o2b3o$19b3o149bob2o2bo15bo$5bo3bo11bo149bobo13b2o4b
2o$171bo23bo$6bo2bo148b2o11bo21b2o$6b2o2bo148bo2b2o19b3o7bo$4bo2bobobo
147bobo2bo21bo$3bo3b3obo148bob2obo20bo$4bobobobo151bo2b4o6bo7b3o$9bo
153bob5o4bobo11b3o$10b3o149bo3b3o4bo3bo10bo6b3o$12bo148b3o9bo3bo8b3o7b
o$161b3o9b2ob2o7bo$149b2o36b2o5bob2o$2o148bo2b2o33b3o3bobo$obo147bobo
2bo32b2o6b2o$2bo148bo2b2o13b2o22b2o$bo157bo9b2o22b2o$o154b2o2b3o7b3o
14b3o$b3o149bob2o2bo10b2o$3bo149bobo14bo3bo10bo3bo$153bo15b2o2b2o$140b
2o11bo16bo2bo12bo2bo$141bo2b2o40b2o2bo$141bobo2bo37bo2bobobo$142bob2ob
o19bo15bo3b3obo$144bo2b4o15b3o15bobobobo$145bob5o13bob3o19bo$144bo3b3o
19bo6b3o10b3o$143b3o24b2o6bo13bo$143b3o10b3o11b3o$131b2o23bo2bo10b2o4b
ob2o$132bo2b2o11bo27bobob2o$132bobo2bo8b5o14b2o11b3obo$133bo2b2o8bob4o
6b2o15b2o5bo$141bo5bo9b3o15b2o4bo$137b2o2b3o3bo2bo17b3o9bo$135bob2o2bo
6bo4bo27b3o$135bobo10bo3bob2o11bo3bo11bo$135bo15bob2o$122b2o11bo32bo2b
o$123bo2b2o40b2o2bo$123bobo2bo37bo2bobobo$124bob2obo35bo3b3obo$126bo2b
4o33bobobobo$127bob5o37bo$126bo3b3o15b2o9b3o10b3o$125b3o20bobo9bo13bo$
125b3o22bo$113b2o24b2o7bobo7bob2o$114bo2b2o19b2o8b2o8bobob2o$114bobo2b
o18b2obo18b3obo$115bo2b2o18b2obo15b2o5bo$123bo5b3o6b2o3b2o12b2o4bo$
119b2o2b3o2bo3bo6b2o2b2o5b3o9bo$117bob2o2bo3bo5bo10bo18b3o$117bobo7bo
2bo2bo8bo6bo3bo11bo$117bo9b3ob3o7bo$104b2o11bo32bo2bo$105bo2b2o32b2o6b
2o2bo$105bobo2bo33bo3bo2bobobo$106bob2obo12bo22bo3b3obo$108bo2b4o9bo
23bobobobo$109bob5o37bo$108bo3b3o26b3o10b3o$107b3o15bob3o12bo13bo$107b
3o14bobo3bo$95b2o27bob4o10bob2o$96bo2b2o39bobob2o$96bobo2bo20bo19b3obo
$97bo2b2o20b2o15b2o5bo$105bo16bobo14b2o4bo$101b2o2b3o15b2o7b3o9bo$99bo
b2o2bo17bob2o18b3o$99bobo9b3o9b2o2bo3bo3bo11bo$99bo11bobo10b2ob2o$86b
2o11bo11bobo12bo5bo2bo$87bo2b2o40b2o2bo$87bobo2bo9bo27bo2bobobo$88bob
2obo6b2o3b3o21bo3b3obo$90bo2b4o4bobo8bobo15bobobobo$91bob5o6bo8bo21bo$
90bo3b3o5bobo3b2o13b3o10b3o$89b3o11bo3bo2bo13bo13bo$89b3o15b4o$77b2o
29b2o12bob2o$78bo2b2o39bobob2o$78bobo2bo40b3obo$79bo2b2o37b2o5bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
Chai
Posts: 105
Joined: June 7th, 2022, 8:46 pm

Re: Rules 1 transition from Life

Post by Chai »

A failed 10c/402 glide-symmetric puffer in B34t/S23:

Code: Select all

x = 20, y = 27, rule = B34t/S23History
4$3.2D$2.D2.D$2.D.D4.3D$3.D5.D.D$9.3D6$3.2A$2.A2.A$2.A.A4.3A$3.A5.A.A
$9.3A!
User avatar
snowman
Posts: 82
Joined: March 4th, 2023, 3:27 am

Re: Rules 1 transition from Life

Post by snowman »

Chai wrote: August 22nd, 2023, 5:20 pm A failed 10c/402 glide-symmetric puffer in B34t/S23:

Code: Select all

x = 20, y = 27, rule = B34t/S23History
4$3.2D$2.D2.D$2.D.D4.3D$3.D5.D.D$9.3D6$3.2A$2.A2.A$2.A.A4.3A$3.A5.A.A
$9.3A!
Generation 65 of this pattern is Generation 1 of the R-pentomino sequence, so it makes sense that it'd be condusive to reappearing.
Chai
Posts: 105
Joined: June 7th, 2022, 8:46 pm

Re: Rules 1 transition from Life

Post by Chai »

snowman wrote: August 23rd, 2023, 2:56 am
Chai wrote: August 22nd, 2023, 5:20 pm A failed 10c/402 glide-symmetric puffer in B34t/S23:

Code: Select all

x = 20, y = 27, rule = B34t/S23History
4$3.2D$2.D2.D$2.D.D4.3D$3.D5.D.D$9.3D6$3.2A$2.A2.A$2.A.A4.3A$3.A5.A.A
$9.3A!
Generation 65 of this pattern is Generation 1 of the R-pentomino sequence, so it makes sense that it'd be condusive to reappearing.
It can support itself as an agar until it runs into its output:

Code: Select all

x = 67, y = 321, rule = B34t/S23History:T114,340+68
58.2D$57.D2.D$57.D.D4.3D$58.D5.D.D$64.3D6$58.2A$57.A2.A$57.A.A4.3A$58.
A5.A.A$64.3A20$.2D$D2.D$D.D4.3D$.D5.D.D$7.3D6$.2A$A2.A$A.A4.3A$.A5.A.
A$7.3A20$58.2D$57.D2.D$57.D.D4.3D$58.D5.D.D$64.3D6$58.2A$57.A2.A$57.A
.A4.3A$58.A5.A.A$64.3A20$.2D$D2.D$D.D4.3D$.D5.D.D$7.3D6$.2A$A2.A$A.A4.
3A$.A5.A.A$7.3A20$58.2D$57.D2.D$57.D.D4.3D$58.D5.D.D$64.3D6$58.2A$57.
A2.A$57.A.A4.3A$58.A5.A.A$64.3A20$.2D$D2.D$D.D4.3D$.D5.D.D$7.3D6$.2A$
A2.A$A.A4.3A$.A5.A.A$7.3A20$58.2D$57.D2.D$57.D.D4.3D$58.D5.D.D$64.3D6$
58.2A$57.A2.A$57.A.A4.3A$58.A5.A.A$64.3A20$.2D$D2.D$D.D4.3D$.D5.D.D$7.
3D6$.2A$A2.A$A.A4.3A$.A5.A.A$7.3A20$58.2D$57.D2.D$57.D.D4.3D$58.D5.D.
D$64.3D6$58.2A$57.A2.A$57.A.A4.3A$58.A5.A.A$64.3A20$.2D$D2.D$D.D4.3D$
.D5.D.D$7.3D6$.2A$A2.A$A.A4.3A$.A5.A.A$7.3A!
carsoncheng
Posts: 509
Joined: June 11th, 2022, 11:24 pm

Re: Rules 1 transition from Life

Post by carsoncheng »

P4 in b2e3s23:

Code: Select all

x = 18, y = 14, rule = B2e3/S23
2$6bo5bo$4bobobobobobo$8bobo$3b6ob6o2$3b6ob6o$8bobo$4bobobobobobo$6bo
5bo!
P57 in b34zs23:

Code: Select all

x = 13, y = 14, rule = B34z/S23
2b2o$bobo$2obo$b2o7$10b2o$9bob2o$9bobo$9b2o!
Also I've done a little collection on the smallest oscillators of each period I could find in the 1TFL rulespace that are smaller than the SKOPs in Life; I haven't pushed it to github yet, but here's the collection (it isn't guaranteed to be complete, for example it doesn't account for LCMs or adjustable loops yet, there is no author information (yet) in this collection, and I'm not sure if there are other tiny oscillators that exists in this rulespace without me noticing; if there are any corrections and/or new discoveries please post them below):

Code: Select all

Period (tied): apgcode (rule, minpop); if (tied) is present it’s tied with the SKOP in Life
P1: xs1_1 (b3s023, 1)
P2: xp2_12 (b2e3s23, 2), xp2_5 (b2c3s23, 2)
P3: xp3_33oo (b3s1e23, 6), xp3_1ff8 (b3s2-n3, 6)
P4: xp4_19a (b3s1e23, 5), xp4_137 (b3-as23, 5)
P5: xp5_13aog (b3-ns23, 8)
P6: xp6_l0l (b2c3s23, 4)
P7: xp7_13090c8 (b36ks23, 8)
P8: xp8_175 (b3s23-i, 6)
P9: xp9_7w7 (b3-rs23, 6)
P10: xp10_l0lz2 (b2c3s23, 7)
P11: xp11_vaav (b34as23, 14)
P12: xp12_6qb (b34zs23, 8)
P13: xp13_033g88gw66zccw131 (b3-qs23, 20)
P14: xp14_27 (b3s235i, 4)
P16: xp16_0gg06bc4z1163 (b3s234j, 16)
P17: xp17_8km1mk8kkkk8y08sszw121 (b2n3s23, 24)
P18: xp18_33w4pe4xcc (b3s23-q, 14), xp18_13oowoo31 (b3s2-c3, 14), xp18_36eiie63 (b3s236c, 14)
P19: xp19_44llllll44 (b35as23, 16)
P20: xp20_3roqaga (b3s23-j, 13)
P21: xp21_0ca23zgc4zpp (b3s23-q, 17)
P22: xp22_1647x7134 (b3s238, 14)
P23: xp23_6db6y16bd6z0ggy3ggz3563y13653 (b35ks23, 40), xp23_0gw274y0472wgz113y8311z4c6y86c4zy0271y0172 (b3s238, 40)
P24: xp24_33y1ozx4cog1zwezy433 (b3-qs23, 18), xp24_777ooozx111woke (b3s23-e, 18)
P25: xp25_53gks0330skg35 (b3s23-y, 24)
P26: xp26_73bhb37 (b3s235i, 13)
P27: xp27_coh36y363hoczzoc40gy3g04cozw231y3132 (b35ks23, 40)
P28: xp28_8g12108kz1w424 (b3s1c23, 12)
P29: xp29_33y733zx2c2x2c2zw8k8y18k8 (b3s236n, 24)
P30 (tied): xp30_ccx6d2y0gcoxcczy91 (b3s234w, 20)
P32: xp32_1orq4 (b37cs23, 11)
P34: xp34_sip6zzxcj97 (b3s236c, 18)
P36: xp36_gbhezy0a5156 (b35qs23, 18)
P37: xp37_0nx33z343zzcicz0excc (b2i3s23, 26)
P38: xp38_78hmsy0e (b34is23, 14)
P40: xp40_259aeko (b34as23, 13)
P41: xp41_ggw35c53y935c53wggzd872yj278dzzzc4ogyjgo4cz3210g8c8gy9g8c8g0123zy011011y911011 (b34ys23, 80)
P42: xp42_44awe4y0rrzyd6876y37 (b3-es23, 26)
P43: xp43_gg0o4cy2e9b8gz1223y711zwo8y7s4kozx1d97y2321 (b36as23, 48)
P44: xp44_69960ciic (b3s23-r, 16)
P46: xp46_37djje (b3-es23, 13)
P47: xp47_y1c63y636cz4631ye1364zz8ogyggo8zw110cogy6goc011zy31y61 (b3-ks23, 48)
P48: xp48_yhca23zzy479hiszggkcz1 (b36ns23, 26)
P50: xp50_13ecc2y02cce31 (b34ys23, 18)
P52: xp52_e8ft5sz0111 (b35ys23, 16)
P54: xp54_0gca9icz34953 (b3s23-r, 18)
P55: xp55_c995y0599czzzz399ay0a993 (b35as23, 32)
P57: xp57_4e97zzy5e972 (b34zs23, 16)
P58: xp58_35ey2eko (b3s234z, 12)
P60: xp60_79ry1ris (b36ks23, 16)
P62: xp62_nnxnnz33x33 (b2e3s23, 24)
P64: xp64_ya33zzggy46d32z11 (b3s237c, 16)
P68: xp68_0757y2757z8k8y48k8 (b3s23-j, 20)
P70: xp70_647o8ozx1 (b3s234y, 12)
P76: xp76_y933zwea1j2zggz11 (b34ks23, 18)
P78: xp78_cgcy227zzws8y2616 (b35ys23, 18)
P80: xp80_mlb431z1 (b3s23-e, 14)
P84: xp84_37rs (b3s234n, 11)
P90: xp90_y07zocogxgoc6cz6c631x1363zy3s (b34cs23, 32)
P92: xp92_gy6e9bz3y6s4kyd111zy811 (b3s23-c, 22)
P94: xp94_y37461z4ksz1 (b3s235i, 14)
P104: xp104_ya32aczzwggy0cb3bcydggz4701yk643zy2155zyao8zyb113 (b34zs23, 42)
P106: xp106_oxorroxozny6nzfxssssxfzzy133 (b3s23-y, 40)
P148: xp148_32acymca23zzy4eiszy4o4szy411zw8oymo8z311yo113 (b34ws23, 44)
P164: xp164_y845a2zzyaggyf88kgzy64rr0dd2yf1zgg8z0211zzyj45a2 (b3s234y, 42)
P170: xp170_ccxe9eyfe9eyacczzz33x797yf797ya33 (b34is23, 48)
P188: xp188_33y1msr46 (b36cs23, 14)
P210: xp210_35453x65156 (b3s23-c, 18)
P424: xp424_yrc871zgz1156zyhokszyf3rozzyz06a8ozzy58e13 (b38s23, 42)
EDIT: p36 in b34is23:

Code: Select all

x = 27, y = 27, rule = B34i/S23
11b2o$11b2o6$10b3o$10bobo$10b3o$17b3o$17bobo5b2o$17b3o5b2o2$2o5b3o$2o5bobo$7b
3o$14b3o$14bobo$14b3o6$14b2o$14b2o!
EDIT on 2023-08-27: Updated the collection, as per the oscillators shown below and my p78 discovery in hatlife.
Last edited by carsoncheng on August 26th, 2023, 9:47 pm, edited 2 times in total.
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Period1GliderGun
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Re: Rules 1 transition from Life

Post by Period1GliderGun »

Smaller p17 than the collection (24 cells):

Code: Select all

x = 9, y = 20, rule = B2n3/S23
4bo$3b3o$2bo3bo$bo5bo$2o5b2o$2bo3bo$2bo3bo5$3b3o$3b3o5$3b3o$3bobo$3b3o
!
EDIT: Smaller p20 (13 cells):

Code: Select all

x = 7, y = 5, rule = B3/S23-j
2o$2ob2obo2$b4obo$b3obo!
Should this be moved to the Oscillator Discussion Thread (1-transition)?

EDIT2: Smaller p21 and p106:

Code: Select all

x = 15, y = 8, rule = B3/S23-q
2o$bo$bobo$2b2o9b2o$7bo5b2o$6b3o$6bo2bo$8b2o!

Code: Select all

x = 22, y = 24, rule = B3/S23-y
17b3o$16b3obo$15bo2b2o$16bo4$8bo$7b3o$6bo3bo$7b3o$2o6bo11b2o$2o6bo11b
2o$7b3o$6bo3bo$7b3o$8bo4$16bo$15bo2b2o$16b3obo$17b3o!
p10 in B3/S23-q:

Code: Select all

x = 11, y = 11, rule = B3/S23-q
2b2o$2b2o2$2b4o$2bo3bo$3b3obo$3bobobo$4b2obob2o$2o4b2ob2o$obo$b2o!
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
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