Rules 2 transitions from Life

For discussion of other cellular automata.
WhiteHawk
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Re: Rules 2 transitions from Life

Post by WhiteHawk »

A rule where the Odd Traffic Stop is even (p28), and the Even Traffic Stop is odd (and prime-period 37)

Code: Select all

x = 41, y = 28, rule = B34c8/S23
8b2o$8bobo2b2o$10bo3bo$6b4ob3o$o5bo2bo17b2o$3o7b2ob3o12bo$3bo6b2obo2b
o11bobo$2b2o8bo2b2o12b2o$35bo$34b2o$7bo27bo$6b2o$7bo3$10bo21bo$10b2o20b
2o$10bo21bo$37b2o$37bobo$b2o2bo8b2o23bo$bo2bob2o6bo24b2o$2b3ob2o7b3o$
8bo2bo5bo$4b3ob4o$3bo3bo$3b2o2bobo$8b2o!
EDIT: This happens with some more stable TL hasslers as well, and means that shuttles increase by 2 steps

Collection so far. Top are rephased by 1 step, middle are rephased by 2 steps, and bottom are completed partials with different sparker support in life (EDIT 4: would like to find more of these)

Code: Select all

x = 284, y = 177, rule = B34c8/S23
154b2o9b2o$154bo11bo$155b3o5b3o$140bo16bo5bo16bo$140b3o35b3o$143bo15b
2o16bo$142b2o14bo2bo15b2o$153bo5b2o$152b3o$151bo2bo$146bo3b5o19b3o$145b
3o3bo2bo10b3o6bobo$145bo2bo3b3o10bobo6b3o$145b5o3bo11b3o$129b2o14bo2b
o41b2o$130bo14b3o42bo$130bobo13bo41bobo$131b2o23b2o5b2o23b2o16bo$156b
o7bo17b3o21b3o$137b5o15b3ob3o18bobo24bo$136b2obob2o16bobo20b3o23b2o$137b
obobo$100b2o36b3o75b2o$100bobo2b2o32bo77bo$102bo3bo29bo80bob2o$57b2o39b
4ob3o29b3o78b2obo2bo$57bobo2b2o34bo2bobo4b2o24bobobo80bob2o$8b2o14b2o
33bo3bo44bo24b2obob2o41b3o35bo41bo14bo$4b2obobo14bobob2o25b4ob3o23bo19b
obo17b2o6b5o42bobo9b2o15b3o5b2o34b2o4bobo12bobo4b2o$5bobo18bobo20bo5b
o2bo27b3o17b2o18bobo52b3o8bobo9bo5bobo18b2o21bobo4bo14bo4bobo$5bob2o16b
2obo20b3o6bob5o24bo38bo14b2o31b2o14bo10bobo4b3o19bo23bo24bo$4b2o22b2o
22bo6bo5bo17b2o3b2o38b2o13bobo29bobo13b2o11bo27bobo21b3o20b3o$3bo3b2o
16b2o3bo20b2o7bo3b2o17bobo14b3o29bo12bo29bo57b2o24bo18bo$4bobo20bobo55b
o14bobo28bobo11b2o27b2o12bo23bo25b3o15b3o20b3o$3b2obo20bob2o54b2o13b3o
28bobo53bobo21bobo24bobo15bo6b3o6b3o6bo$bo2bob2o18b2obo2bo22b3o25b2o7b
3o37bo12b2o27b2o11bobo21bobo24b3o13bobo6bobo6bobo6bobo$b2obo5b3o8b3o5b
ob2o22bobo24bo2b2o5bobo50bo29bo12bo23bo41b2o7b3o6b3o7b2o$4bo5bobo3b2o
3bobo5bo25b3o24b2obo6b3o33b2o13bobo29bobo13b2o$4b2o4b3o2bo2bo2b3o4b2o
55bo25b2o15bo14b2o31b2o14bo22bo$16b2o67b2o25bo13bobo8b3o52bobo19bobo$
58b3o42b3o6bob2o10b2o9bobo42b5o6b2o19bobo18b3o$16b2o40bobo42bobo5b2o2b
o21b3o41b2obob2o27bo19bobo16b2o7b3o6b3o7b2o$4b2o4b3o2bo2bo2b3o4b2o28b
3o42b3o7b2o67bobobo48b3o16bobo6bobo6bobo6bobo$4bo5bobo3b2o3bobo5bo65b
3o13b2o70b3o37bo17b2o13bo6b3o6b3o6bo$b2obo5b3o8b3o5bob2o62bobo14bo71b
o30b3o4bobo16bobo12b3o20b3o$bo2bob2o18b2obo2bo17b2o3bo7b2o30b3o14bobo
66bo33bobo5bo19bo15bo18bo$3b2obo20bob2o19bo5bo6bo44b2o3b2o65b3o25b2o5b
3o25b2o11b3o20b3o$4bobo20bobo21b5obo6b3o41bo70bobobo24bo47bo24bo$3bo3b
2o16b2o3bo26bo2bo5bo23b2o17b3o24b3o20bobo16b2obob2o20b2obo45bobo4bo14b
o4bobo$4b2o22b2o23b3ob4o28bobo19bo24bobo18b3ob3o15b5o21bo2bob2o42b2o4b
obo12bobo4b2o$5bob2o16b2obo23bo3bo32bo46b3o17bo7bo42b2obo50bo14bo$5bo
bo18bobo23b2o2bobo29b2o4bobo2bo31b2o23b2o5b2o23b2o20bo$4b2obobo14bobo
b2o27b2o33b3ob4o30bobo41bo13bobo19b2o$8b2o14b2o65bo3bo34bo42b3o14bo$91b
2o2bobo31b2o41bo2bo14b2o26b2o$96b2o55b3o11bo3b5o42bo$144b3o6bobo10b3o
3bo2bo43b3o$144bobo6b3o10bo2bo3b3o45bo$144b3o19b5o3bo$166bo2bo$166b3o
$160b2o5bo$142b2o15bo2bo14b2o$143bo16b2o15bo$140b3o35b3o$140bo16bo5bo
16bo$155b3o5b3o$154bo11bo$81b2o8b2o61b2o9b2o$80bobo8bobo$80b2o10b2o2$
84b3o$12b2o5b2o63bobo$7b2o3bo7bo3b2o58b3o$6bobo4bo5bo4bobo$8bob3obo3b
ob3obo23bo6bo$5b2obobo3bo3bo3bobob2o19bobo4bobo15b2o26b2o$8bo5bobobo5b
o18b2o3bo6bo3b2o10bobo26bobo$7bobo2b2obobob2o2bobo17b2o14b2o10b2o10b3o
15b2o$8bo3bo2bobo2bo3bo58bobo3b3o$4b2o8b2ob2o8b2o23b3o28b3o3bobo4b3o$
2o2bo23bo2b2o19bobo3bo30b3o4bobo$obobo3b3o11b3o3bobobo11b3o5b3o3bo37b
3o$2bob2o2bobo11bobo2b2obo27bo16b3o$obobo3b3o11b3o3bobobo42bobo4b3o$2o
2bo23bo2b2o25bo16b3o4bobo3b3o$4b2o8b2ob2o8b2o15b3o5b3o3bo23b3o3bobo$8b
o3bo2bobo2bo3bo27bobo3bo12b2o15b3o10b2o$7bobo2b2obobob2o2bobo26b3o16b
obo26bobo$8bo5bobobo5bo47b2o26b2o$5b2obobo3bo3bo3bobob2o15b2o14b2o$8b
ob3obo3bob3obo18b2o3bo6bo3b2o$6bobo4bo5bo4bobo20bobo4bobo30b3o$7b2o3b
o7bo3b2o22bo6bo31bobo$12b2o5b2o66b3o2$80b2o10b2o$80bobo8bobo$81b2o8b2o
10$124bo$16bo107b3o$15bobo27bo7bo38bo7bo26bo$14bo3bo25bobo5bobob2o30b
2obobo5bobo24b2o$15bo3bo23bo2bo4bo2b2obo8bo12bo8bob2o2bo4bo2bo$16bo3b
o22b2ob2o4b2o12b3o8b3o12b2o4b2ob2o$17bo3bo22bo4bo4b3o12bo6bo9b6o4bo4b
o30b2o$18bobo9bo12bo2b4ob2obo2bob2o7b2o6b2o7b4o4b2ob4o2bo16b3o9b3o4b3o
$19bo9bobo10bob2o3bo2bo2b3o2b3o21bo3bo5b2o4b2obo27bo6bobo$28bo3bo10bo
4b2obobo2b2o3b2o19bobo4bo3bo2b2o4bo14bo5bo7b2o5b3o$27bo3bo12bobobobo2b
o8bo2bo15bo8bob4obobobo14b2o5bo$13bo12bo3bo14b2obo4bo8bo10b3o5bo15bob
2o22bo$12bobo4b3o3bo3bo18b3o11bo3bo6bobo5bo3bo11bo16bobo3bo$11bo3bo3b
obo4bobo16b2obo4bo8bo10b3o5bo15bob2o12bob2o3b2o19b2o$10bo3bo4b3o5bo16b
obobobo2bo8bo2bo15bo8bob4obobobo11bo27bo$9bo3bo29bo4b2obobo2b2o3b2o19b
obo4bo3bo2b2o4bo9b2o23bo4b3o$8bo3bo29bob2o3bo2bo2b3o2b3o21bo3bo5b2o4b
2obo34b2o4bo$9bobo31bo2b4ob2obo2bob2o7b2o6b2o7b4o4b2ob4o2bo20b2o12b2o
$10bo7bo25bo4bo4b3o12bo6bo9b6o4bo4bo21bo$17bobob2o20b2ob2o4b2o12b3o8b
3o12b2o4b2ob2o17b3o$18b2obo2bo18bo2bo4bo2b2obo8bo12bo8bob2o2bo4bo2bo18b
o$20bo2b2o19bobo5bobob2o30b2obobo5bobo$17bobo25bo7bo38bo7bo14b2o$17b2o
95bobo$114bo13b3o16bo$113b2o13bo16bobo$129bo16b2o6$138bo$137b2o15bobo
$137bobo15b2o$155bo6$146b2o16bo$146bobo16bo13b2o$146bo16b3o13bo$177bo
bo$177b2o2$172bo$171b3o$170bo$155b2o12b2o$149bo4b2o$149b3o4bo23b2o$152b
o27bo$151b2o19b2o3b2obo$173bo3bobo$170bo$170bo5b2o$153b3o5b2o7bo5bo$153b
obo6bo$153b3o4b3o9b3o$160b2o3$166b2o$166bo$167b3o$169bo!
This also means that there are currently quite a few TL partials due to rephasing of the rotor making the Life-compatible sparkers fail.

EDIT 2: one solved +1 partial (p15 in life supported by Fumaroles, p16 here)

Code: Select all

x = 27, y = 24, rule = B34c8/S23
8b2o2$6bo3bo$6bo4bo$8bobobo$9bobobo$10bo4bo7b2o$11bo3bo$22bo3bo$12b2o
7bo4bo$6b2o12bobobo$12b3o4bobobo$5bo3bobo3bobo4bo$4bo4bobo3bobo3bo$3b
obobo3bo3bo$2bobobo5b3o4b2o$o4bo$o3bo$11bo$2b2o6bobob2o$11b2obo2bo$13b
o2b2o$10bobo$10b2o!
One solved +2 (42 in life, 44 here)

Code: Select all

x = 62, y = 21, rule = B34c8/S23
3bo7bo38bo7bo$2bobo5bobob2o30b2obobo5bobo$bo2bo4bo2b2obo8bo12bo8bob2o
2bo4bo2bo$b2ob2o4b2o12b3o8b3o12b2o4b2ob2o$2bo4bo4b3o12bo6bo9b6o4bo4bo
$bo2b4ob2obo2bob2o7b2o6b2o7b4o4b2ob4o2bo$ob2o3bo2bo2b3o2b3o21bo3bo5b2o
4b2obo$bo4b2obobo2b2o3b2o19bobo4bo3bo2b2o4bo$2bobobobo2bo8bo2bo15bo8b
ob4obobobo$3b2obo4bo8bo11bo6bo15bob2o$6b3o11bo3bo7b2o5bo3bo11bo$3b2ob
o4bo8bo11bo6bo15bob2o$2bobobobo2bo8bo2bo15bo8bob4obobobo$bo4b2obobo2b
2o3b2o19bobo4bo3bo2b2o4bo$ob2o3bo2bo2b3o2b3o21bo3bo5b2o4b2obo$bo2b4ob
2obo2bob2o7b2o6b2o7b4o4b2ob4o2bo$2bo4bo4b3o12bo6bo9b6o4bo4bo$b2ob2o4b
2o12b3o8b3o12b2o4b2ob2o$bo2bo4bo2b2obo8bo12bo8bob2o2bo4bo2bo$2bobo5bo
bob2o30b2obobo5bobo$3bo7bo38bo7bo!
EDIT 3:

Alien TL hassler periods known: 14, 16, 24, 28, 30, 32, 34, 35, 36, 37, 38, 41, and 44. Funny how the only odd-period ones currently known are also prime-period. Are there any odd-period TL hasslers which are also composite?

EDIT 4: Yup! - Period 35 achieved

Code: Select all

x = 70, y = 68, rule = B34c8/S23
12bo$12b3o$15bo$14b2o2$19bo$18bobo$18bo2bo4b3o$8bo10b2o$7bobo8b2o5bo3b
o$6bo3bo6b2o6bo3bo$7bobo8b2o$2b2o4bo8bo8bo3bo$bobo26bo$bo21bobo3bo$2o
6bo15b2o4b3o$8b2o14bo7bo$10bo$8bobo$8b2o3$3b2o28bo$2bobo29bo$2bo29b3o
$b2o15b2o$18bobo$18bo4$41bo$42b2o$41b2o$27b2o$26b2o$28bo4$51bo$49bobo
$50b2o15b2o$35b3o29bo$35bo29bobo$36bo28b2o3$60b2o$59bobo$59bo$37bo7bo
14b2o$37b3o4b2o15bo6b2o$40bo3bobo21bo$39bo26bobo$39bo3bo8bo8bo4b2o$50b
2o8bobo$40bo3bo6b2o6bo3bo$40bo3bo5b2o8bobo$49b2o10bo$41b3o4bo2bo$49bo
bo$50bo2$54b2o$54bo$55b3o$57bo!
Last edited by WhiteHawk on January 7th, 2025, 11:19 pm, edited 10 times in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Rules 2 transitions from Life

Post by pifricted »

P84:

Code: Select all

x = 33, y = 33, rule = B3/S23-y4y
9bo$8bobo$8bobo$6b3ob2o$5bo$6b3ob2o16bo$8bob2o15bobo$27bobo$26b2ob3o$
32bo$26b2ob3o$26b2obo8$10b3o$12bo$3bob2o4bobo$b3ob2o$o$b3ob2o$3bobo$3b
obo15b2obo$4bo16b2ob3o$27bo$21b2ob3o$22bobo$22bobo$23bo!
...is enjoying his teenage time.
WhiteHawk
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Joined: July 10th, 2024, 5:34 pm

Re: Rules 2 transitions from Life

Post by WhiteHawk »

pifricted wrote: November 17th, 2024, 10:25 am P84:
Loopabilility allows 2 of the hassled objects into to the oscillator, becoming P42

Code: Select all

x = 33, y = 33, rule = B3/S23-y4y
9bo$8bobo$8bobo$6b3ob2o$5bo$6b3ob2o16bo$8bob2o15bobo$27bobo$26b2ob3o$
32bo$26b2ob3o$19bobo4b2obo$20bo$20b3o6$10b3o$12bo$3bob2o4bobo$b3ob2o$
o$b3ob2o$3bobo$3bobo15b2obo$4bo16b2ob3o$27bo$21b2ob3o$22bobo$22bobo$23b
o!
Last edited by WhiteHawk on November 17th, 2024, 11:32 pm, edited 1 time in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: p42

Post by confocaloid »

Those "moving" active objects are not 'signals' in any useful way, and calling them that is misleading. There is no movement of information across the universe in this pattern; the pattern is just a loopable oscillator.
WhiteHawk wrote: November 17th, 2024, 10:21 pm [...] Can include 2 signals to become P42

Code: Select all

x = 33, y = 33, rule = B3/S23-y4y
9bo$8bobo$8bobo$6b3ob2o$5bo$6b3ob2o16bo$8bob2o15bobo$27bobo$26b2ob3o$
32bo$26b2ob3o$19bobo4b2obo$20bo$20b3o6$10b3o$12bo$3bob2o4bobo$b3ob2o$
o$b3ob2o$3bobo$3bobo15b2obo$4bo16b2ob3o$27bo$21b2ob3o$22bobo$22bobo$23b
o!
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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Re: Rules 2 transitions from Life

Post by Period1GliderGun »

WhiteHawk wrote: November 17th, 2024, 10:21 pm
pifricted wrote: November 17th, 2024, 10:25 am P84:
Loopabilility allows 2 of the hassled objects into to the oscillator, becoming P42

Code: Select all

x = 33, y = 33, rule = B3/S23-y4y
9bo$8bobo$8bobo$6b3ob2o$5bo$6b3ob2o16bo$8bob2o15bobo$27bobo$26b2ob3o$
32bo$26b2ob3o$19bobo4b2obo$20bo$20b3o6$10b3o$12bo$3bob2o4bobo$b3ob2o$
o$b3ob2o$3bobo$3bobo15b2obo$4bo16b2ob3o$27bo$21b2ob3o$22bobo$22bobo$23b
o!
Normal eaters work:

Code: Select all

x = 27, y = 27, rule = B3/S23-y4y
5bo$5b3o$8bo$7b2o2$25b2o$25bo$23bobo$16bobo4b2o$17bo$17b3o6$7b3o$9bo$
2b2o4bobo$bobo$bo$2o2$18b2o$18bo$19b3o$21bo!
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 ]]
WhiteHawk
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Re: Rules 2 transitions from Life

Post by WhiteHawk »

By corollary of a proof provided in the 1TFL thread, B34e/S234c is 1 period away from Omniperiodicity - missing p29.

Code: Select all

2=blinker
3=caterer
4=mold
5=fumarole
6=P6 Thumb
7=Fourfold Burloaferimeter variant
8=Blocker
9=29p9
10=24p10
11=rattlesnake
12=mold on fire-spitting
13=beluchenko's p13
14=tumbler
15=caterer on fumarole
16=achim's p16
17=honey thieves
18=p18 phase-shifter
19=cribbage
20=mold on fumarole
21=Caterer on 28P7.3
22=77p22 (LOM hassler)
23=112p23
24=2P2B with Blockers
25=30p25
26=70p26
27=116p27
28=mold on 34p14
[b]NO 29[/b]
30=queen bee
31=merzenich's p31
32=gourmet
33=caterer on rattlesnake
34=120p34 Dependent loop (Alien)
35=p35 hfh
36=jason's p36
37=58p37
38=42p38
39=Caterer on beluchenko's p13
40=blocker on fumarole
41=p41 pi heptomino hassler (Alien)
42=P6 thumb on 60p7
43=P43 r-pentomino hassler
44=Mold on Rattlesnake
45=Fumarole on 68p9
46=4-block twin bees shuttle
47=P47 Lumps of Muck Hassler
48=Caterer on 68p16
49=P7 bouncer loop
50=24p10 on 30p25
51=90p51
52=4 molds hassling 8 blocks
53=94p53
54=43p54
55=Pseudo-barberpole on Rattlesnake
56=Blocker on 60p7
57=P57 Herschel Conduit (Alt. Support due to B4e killing Tub With Tail)
58=p58 Emu (Alt. Support due to B4e killing Tub With Tail)
59=p59 Emu (Alt. Support due to B4e killing Tub With Tail)
60=Queen Bee Shuttles Hassling Blinker
61+=Herschel Conduits
Last edited by WhiteHawk on November 22nd, 2024, 4:04 pm, edited 3 times in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Rules 2 transitions from Life

Post by confocaloid »

Any links to source(s)? An explicit mention of the missing period? Any other relevant details or explanations? Any new contributions on top of what was more or less already known?

As it stands, the post looks too much like a low-effort "corollary-snipe" attempt, to deserve a separate post.

Someone else (not me) could write a spambot that would quickly flood the entire board with similar posts.
WhiteHawk wrote: November 21st, 2024, 5:03 pm By corollary of a proof provided in the 1TFL thread, B34e/S234c is 1 period away from Omniperiodicity.

Code: Select all

[...]
[b]NO 29[/b]
[...]
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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Re: Rules 2 transitions from Life

Post by WhiteHawk »

Alien p9 based on a a life p9 that fails under B4c, but then is supported by S4z

Code: Select all

x = 15, y = 11, rule = B34c/S234z
2b2o2bo$2bo2bo3b2ob2o$3b2o5bobo$3o7bobo$o2b6obo2b2o$bobo7bobo$2o2bob6o
2bo$2bobo7b3o$2bobo5b2o$b2ob2o3bo2bo$8bo2b2o!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Rules 2 transitions from Life

Post by LaundryPizza03 »

Smaller emulators:

Code: Select all

x = 37, y = 6, rule = B3-e/S1c23
17bo12b2o$bobo2bobo4bobo3bobo4bobo4bobo$o8bo2bo9bo2bo10bo$b2o4b2o4b2o
5b2o4b2o6b2o$o2b4o2bo2bo2b5o2bo2bo2b6o2bo$bo6bo4bo7bo4bo8bo!
Another version, and what the heavyweight emulator becomes:

Code: Select all

x = 37, y = 7, rule = B3-n/S1e23
17bo12b2o$2obo2bob2o2b2obo3bob2o2b2o8b2o2$b2o4b2o4b2o5b2o4b2o6b2o$3b4o
8b5o8b6o$2o6b2o2b2o7b2o2b2o8b2o$30b2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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get_Snacked
Posts: 542
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Re: Rules 2 transitions from Life

Post by get_Snacked »

p8 in b4i6ks23. there should be many other new things, and i'll apgsearch when i come home.

Code: Select all

x = 4, y = 5, rule = B34i6k/S23
b2o$o2bo$o2bo$o2bo$b2o!
WhiteHawk
Posts: 1361
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Re: Rules 2 transitions from Life

Post by WhiteHawk »

get_Snacked wrote: January 14th, 2025, 5:01 pm p8 in b4i6ks23. there should be many other new things, and i'll apgsearch when i come home.
P12 in the rule

Code: Select all

x = 63, y = 64, rule = B34i6k/S23
3o3b3obo5bo2bob3o2bobobobobobo2b3obo2bo5bob3o3b3o$2obob2ob2ob2obob4o2b
3o3b2o3b2o3b3o2b4obob2ob2ob2obob2o$3o2b2obo3bobo2b3o2b3o2b2ob3ob2o2b3o
2b3o2bobo3bob2o2b3o$bob3ob2o4bo3b4o2bobob3o3b3obobo2b4o3bo4b2ob3obo$2b
4ob2ob2obo4b4o2b3obo5bob3o2b4o4bob2ob2ob4o$b4o6b2obo2bob4ob3obob3obob
3ob4obo2bob2o6b4o$b2o2bo2bobobob3o2bobob2o2b2obobob2o2b2obobo2b3obobo
bo2bo2b2o$2bob3obobo4bo2bobo2bob2o2bo3bo2b2obo2bobo2bo4bobob3obo$2b2o
b3o3bob3o2b10ob2ob2ob10o2b3obo3b3ob2o$obo4bobo2bobo2bobo2bob3ob3ob3ob
3obo2bobo2bobo2bobo4bobo$3b2o5bo3b3obob3ob2obobobobobob2ob3obob3o3bo5b
2o$ob2o2b3o3b4o2b3o2bob2obo5bob2obo2b3o2b4o3b3o2b2obo$ob7ob4ob5o2bo3b
ob3ob3obo3bo2b5ob4ob7obo$3o3bobo3bo3bob2o3bo2b2ob5ob2o2bo3b2obo3bo3bo
bo3b3o$o3b6o4b7ob2o4bo5bo4b2ob7o4b6o3bo$2o2b3ob2obob2obo2bob5o5bo5b5o
bo2bob2obob2ob3o2b2o$5bob6o2b3o2bobob4o2bobo2b4obobo2b3o2b6obo$3bo11b
o3bo4b2o3bo3bo3b2o4bo3bo11bo$2bo2bo4b2o2b7obob2obo2bobo2bob2obob7o2b2o
4bo2bo$6o7b3obo4bo4b2o5b2o4bo4bob3o7b6o$2obo5b2o3b2ob2obo7bobobobo7bo
b2ob2o3b2o5bob2o$3bobobo2bob4obo2bob5obob3obob5obo2bob4obo2bobobo$2ob
4o2bo2bobobo2bob2obob2o3bo3b2obob2obo2bobobo2bo2b4ob2o$3b6obobob3o2bo
bo5bo3bo3bo5bobo2b3obobob6o$2ob2obo2b3o2b4obo2bo3b4obob4o3bo2bob4o2b3o
2bob2ob2o$ob2o5bobobobo2bo8bo2b3o2bo8bo2bobobobo5b2obo$6bo3bobo5bo2bo
b2o2b3obob3o2b2obo2bo5bobo3bo$bob4o6b7ob2ob2ob3obob3ob2ob2ob7o6b4obo$
2bo3b6obo2bo2b4ob2o3bobobo3b2ob4o2bo2bob6o3bo$o2bo2bobo2b6o4bo3b6ob6o
3bo4b6o2bobo2bo2bo$o9bo4bob2ob2o2bob4o3b4obo2b2ob2obo4bo9bo$2o2bo3b3o
4bo3b3obo3bob5obo3bob3o3bo4b3o3bo2b2o$b6o2bob3o3bo2b2obob3ob5ob3obob2o
2bo3b3obo2b6o$b2o3b2obo2b2ob7ob3o2bobobobo2b3ob7ob2o2bob2o3b2o$o4bo4b
2ob5obobobo2bo2b5o2bo2bobobob5ob2o4bo4bo$bo2b2o2bob2o2b2o3b2o6bobobob
obo6b2o3b2o2b2obo2b2o2bo$b2obo3bobob2o2b5obo2b3o2bobo2b3o2bob5o2b2obo
bo3bob2o$o2b2obo2bo5bobob2o3bo2bo3bo3bo2bo3b2obobo5bo2bob2o2bo$3bo2bo
b3o2bob3o3b2o8bo8b2o3b3obo2b3obo2bo$bob2obob2o3b2o2b2obob2obobob2ob2o
bobob2obob2o2b2o3b2obob2obo$3bobob6o3bo2bob2o2bo11bo2b2obo2bo3b6obobo
$b2o3bo3bo3b4obo3b2obo2b5o2bob2o3bob4o3bo3bo3b2o$bo2bo4bob2ob2obobob2o
2bo2b3ob3o2bo2b2obobob2ob2obo4bo2bo$obobobo3b2ob3o6b2o2bo2bobobo2bo2b
2o6b3ob2o3bobobobo$bo5bo4bobo4b2o4bobo7bobo4b2o4bobo4bo5bo$b3obobob2o
2bobobo2bobo2bo4b3o4bo2bobo2bobobo2b2obobob3o$bo3bo2bob2obo3b9ob9ob9o
3bob2obo2bo3bo$3ob4o2b3o4b4obo2b2ob3ob3ob2o2bob4o4b3o2b4ob3o$2bo6b2ob
2o3b2ob5obobob3obobob5ob2o3b2ob2o6bo$2b2ob4o2bob2o3bobobob2obob5obob2o
bobobo3b2obo2b4ob2o$3b4ob6o4bo2b2o2bob2o5b2obo2b2o2bo4b6ob4o$b3o3bob2o
bo4b2obo2b2ob4obob4ob2o2bob2o4bob2obo3b3o$4ob2obobobobob3obo2b2o2bob2o
b2obo2b2o2bob3obobobobob2ob4o$o3bob4obob3ob4o3bobo2bobobo2bobo3b4ob3o
bob4obo3bo$b5ob2ob4o3b2o3bo4b3o3b3o4bo3b2o3b4ob2ob5o$o2b3o2bob3ob3ob2o
b2o2bo2b2obob2o2bo2b2ob2ob3ob3obo2b3o2bo$4bo2bo3bo3b4ob2obo2bo2bo3bo2b
o2bob2ob4o3bo3bo2bo$o2b2o3bobo4bo5b2o3bo2bo3bo2bo3b2o5bo4bobo3b2o2bo$
ob3ob4obobo2bob2o2b2ob3ob5ob3ob2o2b2obo2bobob4ob3obo$o4b2obob3o4bob2o
3b3o3bobo3b3o3b2obo4b3obob2o4bo$5bob2o2bo2bob3obobobobo2bo3bo2bobobob
ob3obo2bo2b2obo$ob5ob3o4bo2b8o2bobobobo2b8o2bo4b3ob5obo$3bo2bobobobo4b
o2b2o2bo2bo7bo2bo2b2o2bo4bobobobo2bo$ob2obob3ob3obob2ob3ob2o5bo5b2ob3o
b2obob3ob3obob2obo!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Rules 2 transitions from Life

Post by get_Snacked »

partial p24 R hassler in the rule:

Code: Select all

x = 13, y = 6, rule = B34i6k/S23
6b2o3b2o$5b2o4b2o$6bo$9bo$2o7bo$2o!
[[ PASTEMODE COPY PASTET EVERY 24 24 PASTE b! 9 2 ]]
[[ PASTEMODE COPY PASTET EVERY 24 12 PASTE b! 3 3 ]]
EDIT: works in b36ks23
EDIT II: the queen bee is a failed replicator:

Code: Select all

x = 7, y = 4, rule = B34i6k/S23
2b3o$bo3bo$o5bo$bo3bo!
[[ STOP 82 ]]
you can add a block here to make it last another cycle:

Code: Select all

x = 7, y = 13, rule = B34i6k/S23
2b3o$bo3bo$o5bo$bo3bo8$3b2o$3b2o!
[[ T 82 PAUSE 1 ]]
[[ STOP 164 ]]
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Re: Rules 2 transitions from Life

Post by CARuler »

in the second (edit: and first) rule
osc (oscillator)
EDIT by dvgrn: The point here seems to be that a phi spark is a p8 oscillator in B34i6k/S23.

Code: Select all

x = 5, y = 6, rule = B34i6k/S23
2bo$b3o$obobo$obobo$b3o$2bo!
Last edited by CARuler on January 16th, 2025, 10:43 pm, edited 2 times in total.
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get_Snacked
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Re: Rules 2 transitions from Life

Post by get_Snacked »

CARuler wrote: January 15th, 2025, 9:27 pm in the second rule

Code: Select all

x = 5, y = 6, rule = B34i6k/S23
2bo$b3o$obobo$obobo$b3o$2bo!
already shown in the first post:
get_Snacked wrote: January 14th, 2025, 5:01 pm p8 in b4i6ks23. there should be many other new things, and i'll apgsearch when i come home.

Code: Select all

x = 4, y = 5, rule = B34i6k/S23
b2o$o2bo$o2bo$o2bo$b2o!
also, what do you mean by "second rule"?
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Re: Rules 2 transitions from Life

Post by R2INT »

An unusually common puffrake in B3-c7e/S23:

Code: Select all

x = 13, y = 11, rule = B3-c7e/S23
5b2o$4bo2bo$5bobo$3o2b3o$o8b3o$obo6bo2bo$b2o7bobo$5b2o5bo$5bo5bo$6bo3b
o$8bo!
EDIT: (2,1)c/17 from B3-en/S23:

Code: Select all

x = 5, y = 4, rule = B3-en/S23
3b2o$2bobo$bobo$2o!
EDIT2: (2,1)c/31 from B3-k4j/S23:

Code: Select all

x = 3, y = 4, rule = B3-k4j/S23
o$obo$2bo$3o!
EDIT3: Puffer at (7,5)c/35:

Code: Select all

x = 5, y = 6, rule = B3-k/S236i
2bo$2b2o$2b3o$2b2o$3o$2o!
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Re: Rules 2 transitions from Life

Post by LaundryPizza03 »

Predecessors to common large still lifes in B3-r/S234y:

Code: Select all

x = 23, y = 5, rule = B3-r/S234y
bo$bo20bo$bo20bo$ob3o17bo$bo17b3o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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WhiteHawk
Posts: 1361
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Re: Rules 2 transitions from Life

Post by WhiteHawk »

Block shuttle in B3/S234c6n

Code: Select all

x = 63, y = 74, rule = B3/S234c6n
38b2o3b2o$38b2o3b2o4$42b2o$46bo$46bo4$41bo$41b2o$40b4o$43b2o$39b2o2b3o
$27b2o10b2o2b2o$36bo4bobo17b2o$21b2o12b3o8b2o13b2o$21b2o3bo7b5o7b2obo
$26bo6b2o10bo3b3o$32b3o3bo10b2o6bo$34bob2o7b5o7bo3b2o$21b2o13b2o8b3o12b
2o$21b2o17bobo4bo$39b2o2b2o10b2o$38b3o2b2o$39b2o$40b4o$41b2o$42bo2$17b
2o$17b2o$36b2o$35bobo$33bobo4b2o$33bobo2b3o$38b3o$39bo$44b2o$44b2o2$20b
2o$19bo$18bo3bo$17bo5bo$17bo2bob2o$17bo3bobo$18b3obo2b3o12b2o$2o12b3o
7bo3bo11b2o$2o11bobobo6bo4bo$11bo4bo7bobo3bo$11bo3bobo7bo4bo$12bo4bo6b
obobo11b2o$2o11bo3bo7b3o12b2o$2o12b3o2bob3o$18bobo3bo$18b2obo2bo$18bo
5bo$19bo3bo$22bo$20b2o10$18b2o3b2o$18b2o3b2o!
Mod 31

Code: Select all

x = 63, y = 74, rule = B3/S234c6n
38b2o3b2o$38b2o3bo10$41b2o$43bo$40bo3bo$39bo5bo$39b2obo2bo$39bobo3bo$
35b3o2bob3o16b2o$21bo12bo3bo7b3o12b2o$21b2o10bo4bo6bobobo$32bo3bobo7b
o4bo$32bo4bo7bobo3bo$34bobobo6bo4bo10b2o$21b2o12b3o7bo3bo12bo$21b2o16b
3obo2b3o$38bo3bobo$38bo2bob2o$38bo5bo$39bo3bo$40bo$41b2o2$17b2o$17bo$
36b2o$34b2obo$35bo2bob2o$38bo2$38b3o$44b2o$44b2o2$20b2o$19bo$18bo3bo$
17bo5bo$17bo2bob2o$17bo3bobo$18b3obo2b3o12b2o$2o12b3o7bo3bo12bo$2o11b
obobo6bo4bo$11bo4bo7bobo3bo$11bo3bobo7bo4bo$12bo4bo6bobobo11b2o$o12bo
3bo7b3o12b2o$2o12b3o2bob3o$18bobo3bo$18b2obo2bo$18bo5bo$19bo3bo$22bo$
20b2o10$18b2o4bo$18b2o3b2o!
Last edited by WhiteHawk on May 2nd, 2025, 6:12 am, edited 1 time in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Rules 2 transitions from Life

Post by pifricted »

P44:

Code: Select all

x = 11, y = 26, rule = B3/S236c7e
o9bo$3o5b3o$3bo3bo$2b2o3b2o12$5bo$4b3o$4b3o5$2b2o3b2o$3bo3bo$3o5b3o$o
9bo!
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Re: Rules 2 transitions from Life

Post by dl-rs »

A c/3 ship in B34ez/S23:

Code: Select all

x = 18, y = 54, rule = B34ez/S23
5bo6bo$b2obobo4bobob2o$b2o4bo2bo4b2o$o2bo10bo2bo$5bobo2bobo$7b4o$4b2o
bo2bob2o$3bob8obo$2bo2b2o4b2o2bo$2bo3bob2obo3bo$5bo2b2o2bo$4b4o2b4o$8b
2o$2b2o4b2o4b2o$bo3bo6bo3bo$bo14bo$3bob2o4b2obo$7bo2bo$2bob2obo2bob2o
bo$2bo12bo$5bobo2bobo$3bo3b4o3bo$5bobo2bobo$4b4o2b4o$6b2o2b2o$4b4o2b4o
$3bo3bo2bo3bo$4bob2o2b2obo$8b2o2$5bo6bo$4b3ob2ob3o$2b2o10b2o$2b2o10b2o
$5b2o4b2o$5b3o2b3o$5bob4obo$6bo4bo$5b2o4b2o$b3obo6bob3o$obo5b2o5bobo$
b3o2b6o2b3o$3b2o8b2o$4bo8bo$b2obobo4bobob2o$o16bo$o16bo$2bo12bo2$2b2o
10b2o2$4bo8bo$2b2o10b2o$2bobo8bobo!
smaller c/3:

Code: Select all

x = 15, y = 20, rule = B34ez/S23
5bo3bo$3b3o3b3o$2bo2bo3bo2bo$bo3bo3bo3bo$6bobo$b3o7b3o$2o2b2o3b2o2b2o
$6bobo$6bobo$3b2obobob2o$3b2o5b2o$4b2o3b2o$4b2o3b2o2$4bo5bo$3b2o5b2o$
3b2o5b2o$3b2ob3ob2o$2bo2bo3bo2bo$2bo2b2ob2o2bo!
A remarkably big c/3:

Code: Select all

x = 19, y = 206, rule = B34ez/S23
5b2o5b2o$3b3obo3bob3o$2b2o3b2ob2o3b2o$bo3bob2ob2obo3bo$bo6bobo6bo$bo2b
obobobobobo2bo$bobobo2bobo2bobobo$7bo3bo$3bo11bo$9bo$2b2o4b3o4b2o$7bo
3bo$bo6b3o6bo$bobo3b5o3bobo$6b2o3b2o$bo2bo9bo2bo$2bob3obobob3obo$4bob
2obob2obo$b2obo2b5o2bob2o$4bo4bo4bo$3bo11bo$4bo9bo$5b2o5b2o2$4bobo5bo
bo$5b2o2bo2b2o$8bobo$b2obobobobobobob2o$b2o3bobobobo3b2o$o2bo4bobo4bo
2bo$5bobo3bobo$4bo9bo2$3b2o9b2o$9bo$3b3o2b3o2b3o$3b2o9b2o$4b2o3bo3b2o
$2b2o2b7o2b2o$bobobob5obobobo$bo3b2o2bo2b2o3bo$2bo2bobo3bobo2bo$6b2o3b
2o2$8bobo$3bob3obob3obo$2b2ob3o3b3ob2o$bo2bob2o3b2obo2bo$5b2o5b2o2$2b
2obob2ob2obob2o$2b2obob2ob2obob2o$2b3o3bobo3b3o$2b3obobobobob3o$2o6bo
bo6b2o$7bo3bo$o5b7o5bo$3b3o3bo3b3o2$5b2o5b2o$3b4o5b4o$2b2ob2o5b2ob2o$
bo3bo7bo3bo$2b2o2bo5bo2b2o$5b2o5b2o$2b5o5b5o$5b2ob3ob2o$bo6bobo6bo$2b
obo3bobo3bobo$3b2o9b2o$6b2obob2o$3b2o2bobobo2b2o$3bo11bo$2bobo9bobo$2b
o13bo$5bo7bo$3bob2o5b2obo2$6bo2bo2bo$3b5obob5o$3b5obob5o$8bobo$5bo2b3o
2bo$5b3o3b3o$5bobo3bobo$4bo2bobobo2bo$2b2ob2o2bo2b2ob2o$b3ob2o2bo2b2o
b3o$2o6b3o6b2o$bo6bobo6bo$2o3b2obobob2o3b2o$4bo3bobo3bo$3bo11bo$2bo13b
o$b3ob2o5b2ob3o$2o4bob3obo4b2o$bo6b3o6bo$2o5b2ob2o5b2o2$7bo3bo$3bob2o
b3ob2obo$2b3ob7ob3o$bo3b9o3bo2$5b3o3b3o$4b2o2bobo2b2o$4b2o7b2o$4b5ob5o
$7b2ob2o$9bo2$7bo3bo$b2ob4o3b4ob2o$b2o5bobo5b2o$o2bob2obobob2obo2bo$7b
o3bo2$4b3o5b3o$3b4o5b4o$2bo3b2o3b2o3bo$7b2ob2o$3bobo7bobo$5bob2ob2obo
2$2b2o3bo3bo3b2o$2b2o11b2o$2bobob2o3b2obobo$3b2o9b2o$4bo9bo$2bo13bo$2b
o3bo5bo3bo$2b2ob2ob3ob2ob2o$2bo5b3o5bo$6b7o$5bobo3bobo2$5bo2bobo2bo$6b
obobobo$b3o11b3o$o17bo$bo2b3ob3ob3o2bo$3bo2bobobobo2bo$5b2obobob2o$5b
o2bobo2bo$5bo2bobo2bo$8bobo$6bobobobo$5b3o3b3o$3b2obo5bob2o$b2obo9bob
2o$o3bo4bo4bo3bo$bobo4bobo4bobo$7bo3bo2$b2ob4o3b4ob2o$b2o4b2ob2o4b2o$
o2bob3o3b3obo2bo2$8bobo$6bobobobo$2b2obo7bob2o$2b2o4bobo4b2o$bo3b2o5b
2o3bo$9bo$8bobo$8bobo$7b2ob2o$7b2ob2o2$5b2obobob2o$b3ob3o3b3ob3o$o17b
o$b2o3bo5bo3b2o$4b2obo3bob2o$5b2o5b2o$5bo7bo$4bob3ob3obo$4b2o2bobo2b2o
$5b2obobob2o$5bo2bobo2bo$8bobo$2b2ob2obobob2ob2o$2b2ob3o3b3ob2o$bo2b3o
5b3o2bo$5bo7bo$3bob2o5b2obo$2b2o3bo3bo3b2o$2b2ob4ob4ob2o$2b2obo2bobo2b
ob2o$bo2bo9bo2bo$bo2bo9bo2bo$6bo5bo$4b2o7b2o$4b2o7b2o$5bob2ob2obo$5bo
2bobo2bo$4b3obobob3o$3b2obobobobob2o$2bo3bobobobo3bo$2bobobobobobobob
o$4bobobobobobo$3b2obobobobob2o$6bobobobo$4bobobobobobo$3bo4bobo4bo$4b
2obo3bob2o!
A c/4:

Code: Select all

x = 16, y = 41, rule = B34ez/S23
4bo6bo$4bo6bo$3bobo4bobo2$3bobo4bobo$3b2o6b2o$5bob2obo$5b6o2$bo12bo$3o
3bo2bo3b3o$3o10b3o$5b2o2b2o$bo3b2o2b2o3bo$b3ob6ob3o$2bobo6bobo$2bo4b2o
4bo$3bo3b2o3bo2$5b6o$4bo6bo$4b2o4b2o$5bo4bo$6bo2bo$2b3o6b3o$b4ob4ob4o
$o14bo$o14bo2$6b4o$3b3o4b3o3$3b2o6b2o$5b2o2b2o$5b2o2b2o$4bo6bo$3bobo4b
obo$2bo10bo$5bo4bo$4b2o4b2o!
Even smaller c/3:

Code: Select all

x = 15, y = 20, rule = B34ez/S23
5bo3bo$3b3o3b3o$2bo2bo3bo2bo$bo3bo3bo3bo$6bobo$b3o7b3o$2o2b2o3b2o2b2o
$6bobo$6bobo$3b2obobob2o$3b2o5b2o$4b2o3b2o$4b2o3b2o2$4bo5bo$3b2o5b2o$
3b2o5b2o$3b2ob3ob2o$2bo2bo3bo2bo$2bo2b2ob2o2bo!
EVEN SMALLER c/3!

Code: Select all

x = 10, y = 11, rule = B34ez/S23
6bo$2b2obobo$2b2o4bo$2b6o2$2o6b2o$2o6b2o$bob4obo$2bob2obo$b3o2b3o$2b2o
2b2o!
Now my brain's about to burst. A 'HWSS' tagalong!

Code: Select all

x = 7, y = 14, rule = B34ez/S23
3bo$2b3o$b2o2bo$bobobo$o2bo$bobob2o$3bo$2b2o$2b2o$b3o$b3o$b3o$b3o$2b2o
!
//Note: it can theoretically also tagalong any similar XWSS. For example:

Code: Select all

x = 17, y = 15, rule = B34ez/S23
8b3o$8bo2bo$7bo3bo$8b2ob2o$6b2obob2o$9bo$9bo$2b3o3bo5b3o$bo2bo3bo4bo2b
o$4bo3bo7bo$o3bo3bo7bo$4bo3bo7bo$bobo4bo4bobo$8bo$9bobo!
Something else that can be extended:

Code: Select all

x = 13, y = 27, rule = B34ez/S23
3bo5bo$2b3o3b3o$2bob2ob2obo$3b3ob3o$3b3ob3o2$4bo3bo$2b3o3b3o$2bo2bobo
2bo$4bo3bo$5bobo$b5ob5o$bo3bobo3bo$o2bobobobo2bo$2b2obobob2o$2obobobo
bob2o$3bobobobo$3bobobobo$3bobobobo$2b2obobob2o$bo3bobo3bo$b3obobob3o
$bobobobobobo$3o2bobo2b3o$5bobo$5bobo$4b2ob2o!
A 2c/5 ship:

Code: Select all

x = 13, y = 26, rule = B34ez/S23
2bo7bo$bobo5bobo$2ob2o3b2ob2o$2o2bo3bo2b2o$bobobobobobo$o2b2o3b2o2bo$
bo2b2ob2o2bo$bob7obo2$2bo7bo$3bo5bo$3b2obob2o2$2b2o5b2o$bo3bobo3bo$bo
3bobo3bo$o11bo$obo7bobo2$3bo5bo$bob2o3b2obo$4bo3bo$2b3o3b3o$2b3o3b3o$
4b5o$5b3o!
Another:

Code: Select all

x = 18, y = 46, rule = B34ez/S23
4bo8bo$3bob2o4b2obo$2b2o10b2o$5bob4obo$5bo2b2o2bo$5bo6bo$2b3o3b2o3b3o
$bo5bo2bo5bo$o2bo3b4o3bo2bo$b3ob2o4b2ob3o$2bob2o6b2obo$3bo10bo2$3b3o6b
3o$2b2obo6bob2o$2b3obo4bob3o$2bobo8bobo$6b2o2b2o2$6bob2obo$5bo6bo$5bo
bo2bobo$6b2o2b2o$5b3o2b3o2$4b2o6b2o2$5b8o$4b4o2b4o$4b2o6b2o$6bo4bo$7b
o2bo$7bo2bo$5bob4obo$7b4o3$6b2o2b2o$3bo4b2o4bo$2bob4o2b4obo$b2o12b2o$
2bo3b2o2b2o3bo$2bo5b2o5bo$2bo12bo$3bo10bo$6bo4bo!
An unbelievably small c/4 that even looks a bit like weekender:

Code: Select all

x = 10, y = 10, rule = B34ez/S23
3o4b3o2$obo4bobo$obo4bobo$bo6bo$bobo2bobo$4b2o$2bo4bo2$3bo2bo!
Yet another c/4:

Code: Select all

x = 9, y = 35, rule = B34ez/S23
4b3o2$4bobo$4bobo$5bo$5bobo$8bo$6bobo2$7b2o$4b2o$3b2obo$3b2o2b2o2$5bo
$2b5o$2bobo2bo$3b2o3bo$4bo$3bo$bobo2b2o$5bob2o$bo3bo$3bobo$2bo2bobo$2o
2bobobo$2ob2o$bo2bobo$bo5bo$6bo$3bo$4bobo$4bo$3bo$3bo!
//Note 2: GUYTU6J have mentioned this rule, which includes an oblique puffer. Various attempts have been made, but I can't corderize it.
This rule should be a rule with remarkable c/2, c/3 and c/4 technology. I hope somebody can investigate it thoroughly.
Roaming OCA randomly.

Code: Select all

x = 23, y = 11, rule = B2n3-jknr4ky5-eqry6ik7c8/S234cktwz5ai6-ci7c
2bo2b3o2bo7bo2bo$b2ob5ob2o6b2ob2o$2bo2b3o2bo7bo2bo4$10b2o$b3o5bobo$2o
b2o4b3o$b3o5bobo$10b2o!
WhiteHawk
Posts: 1361
Joined: July 10th, 2024, 5:34 pm

Re: Rules 2 transitions from Life

Post by WhiteHawk »

hth3 wrote: March 23rd, 2025, 3:23 pm 2G checkerboard:

Code: Select all

x = 10, y = 7, rule = B37e8/S234c7e8
o$b2o$2o2$7b3o$7bo$8bo!
hardly unique to that rule (which, once again, definitely doesn't "need" a name)

Code: Select all

x = 10, y = 7, rule = B38/S234c
o$b2o$2o2$7b3o$7bo$8bo!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
User avatar
dl-rs
Posts: 253
Joined: April 11th, 2022, 12:14 am
Location: I was just a block until a glider crashes with me and I tumbled onto Earth surface in LWSS form.
Contact:

Re: Rules 2 transitions from Life

Post by dl-rs »

A new 2c/5:

Code: Select all

x = 15, y = 45, rule = B34ez/S23
2bo9bo$2ob2o5b2ob2o$2ob2o5b2ob2o2$ob4o3b4obo$bobo2bobo2bobo2$4o2bobo2b
4o$3o2bo3bo2b3o$b3o7b3o$4b2o3b2o$4bobobobo2$4b3ob3o2$5b2ob2o$4b2obob2o
$4bo5bo$5b2ob2o$6bobo$3b2obobob2o$3b2obobob2o$6bobo$3b2obobob2o$2bo3b
obo3bo$3b2obobob2o$3bob2ob2obo$b3o7b3o$b3ob2ob2ob3o$4bobobobo$4bo5bo$
4bobobobo$6bobo$3bo2bobo2bo$2b2obo3bob2o$bo11bo$2b3o5b3o$2bo2bo3bo2bo
$5b2ob2o$5b2ob2o2$5bo3bo$3b2o5b2o$2b2obo3bob2o$2b2o7b2o!
Another:

Code: Select all

x = 16, y = 45, rule = B34ez/S23
2b3o6b3o$2bob2o4b2obo$2bobobo2bobobo$4bo2b2o2bo$4bo6bo$2b2o3b2o3b2o$2o
5b2o5b2o$2o4bo2bo4b2o$2o3bo4bo3b2o$3b2o6b2o$2b2o8b2o$3bo8bo$2b3o6b3o2$
b2o2bo4bo2b2o$bob3o4b3obo$5b2o2b2o2$5b6o$5b2o2b2o$4bo6bo$5bo4bo$4b2ob
2ob2o$4bo6bo$3b2o6b2o2$7b2o$3b4o2b4o$2bo3bo2bo3bo$6b4o$6b4o$3bo8bo$4b
o2b2o2bo$5bob2obo3$5b2o2b2o$5b2o2b2o$b3ob2o2b2ob3o$bobo8bobo$bob4o2b4o
bo$2b2o2bo2bo2b2o$2b5o2b5o$2bob8obo$7b2o!
This is a rule with highly advanced 2c/4 techology.
Examples:

Code: Select all

x = 13, y = 45, rule = B34ez/S23
2b3o3b3o$bo2bo3bo2bo$4bo3bo$o3bo3bo3bo$o3bo3bo3bo$4bo3bo$4bo3bo2$2b3o
3b3o$3bobobobo$4b2ob2o$2obobobobob2o$3o2bobo2b3o$3bobobobo$3bobobobo$
bobobobobobo$2b2obobob2o$5bobo$2b2obobob2o$2b2obobob2o$4b2ob2o$bo3bob
o3bo$2o3bobo3b2o$2o9b2o$b11o$6bo$b3o5b3o$o3bo3bo3bo$b3o5b3o$b3o5b3o$2b
o7bo2$bob2o3b2obo$3b2o3b2o$2b3o3b3o$5bobo$4b2ob2o2$4b2ob2o$3b3ob3o$b2o
bo3bob2o$bo2bo3bo2bo$bo9bo$bo9bo$2bobo3bobo!

Code: Select all

x = 16, y = 19, rule = B34ez/S23
2b3o6b3o$bo2bo6bo2bo$bo3bo4bo3bo$2ob2o6b2ob2o$2obob2o2b2obob2o$3bo8bo
$3bo8bo$4bo6bo$bo2bo2b2o2bo2bo$4bo2b2o2bo$7b2o$2bo3b4o3bo$b2ob8ob2o$b
2obo2b2o2bob2o$2b2o8b2o$b3o8b3o$b3o8b3o$b3o8b3o$2b2o8b2o!
(I think the one above can also be extended)

Code: Select all

x = 19, y = 447, rule = B34ez/S23
6b3ob3o$5bo2bobo2bo$4bo3bobo3bo$4bo9bo$6bo5bo$3bobo7bobo$2b2ob2ob3ob2o
b2o$2bob3obobob3obo$b2o5bobo5b2o$2bobobobobobobobo$2b5obobob5o$3bo2bo
bobobo2bo$2bo2b2obobob2o2bo$3bo2bobobobo2bo$2b4o2bobo2b4o$bo3bo7bo3bo
$bo15bo$bob3o7b3obo$4b3o5b3o$5b2o5b2o2$5bo7bo$3b3o7b3o$3b3o7b3o$3bo11b
o$b2o2b2o5b2o2b2o$2ob2o9b2ob2o$3o4bo3bo4b3o$3b5o3b5o$2bobob2o3b2obobo
$2bo2bo7bo2bo$bo3b2o5b2o3bo$2o15b2o$bo4bo5bo4bo$b2ob2o7b2ob2o$b2o2bo7b
o2b2o$b2ob3o5b3ob2o$2bo3bo5bo3bo$4bo9bo2$2b3o9b3o$2b2ob2o5b2ob2o$b3o2b
o5bo2b3o$bobo2bob3obo2bobo$bo2bobobobobobo2bo$3b2o3bobo3b2o$bo2b2o7b2o
2bo$obo13bobo$6bo5bo$2obob2o5b2obob2o$3bo11bo$3b2o9b2o$4b3o5b3o$7bo3b
o$5b3o3b3o$4bo2bo3bo2bo$6b2o3b2o$5b3o3b3o$5bobo3bobo$2b3o9b3o$2bo13bo
$b2ob3o5b3ob2o$3bo11bo$b2ob3o5b3ob2o$2b2o2bo5bo2b2o$3bobo7bobo$bobo2b
7o2bobo$2bob11obo$4b2o7b2o$b2o13b2o$b2o4b2ob2o4b2o$5b2obobob2o$5b2obo
bob2o$6bo5bo$b3o2bo5bo2b3o$o2bo3bo3bo3bo2bo$3bo3b2ob2o3bo$3bo3b2ob2o3b
o$obo13bobo$7b2ob2o$6bobobobo$6bo5bo$5bo2bobo2bo$4bob3ob3obo$7bo3bo$3b
4o5b4o$2bo13bo$2bo2b2o5b2o2bo$4b2ob2ob2ob2o$o3bobobobobobo3bo$4b2o7b2o
$4bobobobobobo$b2obo9bob2o$b2obobo5bobob2o$bobobo7bobobo$3o2bo7bo2b3o
$bobo11bobo$bob2o9b2obo$2obo2bo5bo2bob2o$3bobob2ob2obobo$3bobo2bobo2b
obo$2obo2bo5bo2bob2o$6bo5bo$6bo5bo$3b6ob6o$6bo5bo$4bo9bo$5b3o3b3o$8bo
bo$5b2obobob2o$3b2obobobobob2o$3b2obobobobob2o$2bo3bobobobo3bo$2bobob
obobobobobo$4bobobobobobo$3bo2bobobobo2bo$3bo2bobobobo2bo$6bobobobo$b
ob3o2bobo2b3obo$3obo2b2ob2o2bob3o$2o6bobo6b2o$7b2ob2o$4b2o2bobo2b2o$4b
obo5bobo$3bo2bo5bo2bo$2b3ob2o3b2ob3o$bo4bo5bo4bo$2b2obobo3bobob2o$2ob
o3bo3bo3bob2o$2bo3b7o3bo$2o4bo5bo4b2o$2b15o$2b4o3bo3b4o3$2bobo4bo4bob
o$bo2bo3b3o3bo2bo$2bo13bo2$8b3o$3b3o2b3o2b3o$2bo2bo3bo3bo2bo$7bo3bo$b
o3bo7bo3bo$2b3o3bobo3b3o$6b2o3b2o$6b2o3b2o$4b3o5b3o$3bo3bo3bo3bo$2bo3b
ob3obo3bo$4b2o7b2o3$6b3ob3o$6bo5bo$5bo2bobo2bo$5bobo3bobo$4b2obobobob
2o2$4b2obobobob2o$4b2obobobob2o$5bo7bo$5bo7bo$3bo2bo5bo2bo$2bo2b9o2bo
$6bob3obo$3b3obobobob3o$5bo7bo2$b3o11b3o$o2bo5bo5bo2bo$3bo4b3o4bo$3bo
2b2obob2o2bo$obo3b2obob2o3bobo$5bob5obo$9bo$4b2o7b2o$3bobo7bobo$2bo13b
o$3bo2bo5bo2bo$6b2o3b2o$3o2bo7bo2b3o$3b2o9b2o$5o9b5o$2b2o11b2o$bo15bo
$bo5bo3bo5bo$6b3ob3o$5b2obobob2o$4b2o7b2o$5bo7bo$4b2o7b2o$2b2obobobob
obob2o$2bo5bobo5bo$4bobobobobobo$b2obobobobobobob2o$4bobobobobobo$2bo
3bobobobo3bo$8bobo$2b5obobob5o$6bobobobo$2b2ob3o3b3ob2o$bobobo7bobobo
$2o3bo7bo3b2o$2b2o2bo5bo2b2o$3bo11bo$4bobo5bobo$5b2o5b2o$5bo7bo$3bo2b
o5bo2bo$2bo2bo7bo2bo$3bob2o5b2obo$2o3bo7bo3b2o$3b4o5b4o$o6bo3bo6bo$4b
o3bobo3bo$2bo4bo3bo4bo$b4o2bo3bo2b4o$3o2b2o5b2o2b3o$3o2b2o5b2o2b3o$5b
o7bo$o2b4o5b4o2bo$o17bo$4bobo5bobo$b2obobo5bobob2o2$4bo9bo$2bob2o7b2o
bo$5b2o5b2o$bo4bo2bo2bo4bo$2ob2obobobobob2ob2o$4b2o2bobo2b2o$2b2o3bo3b
o3b2o$b2ob2o7b2ob2o$bo3bo7bo3bo$obo2b2o5b2o2bobo$2bob3o5b3obo$3bobo7b
obo$3bo11bo$3b4o5b4o$4bo2bo3bo2bo$5bob2ob2obo$8bobo$8bobo$5bo2bobo2bo
$3bobobo3bobobo$2b3o9b3o$4bo9bo$b2ob2o7b2ob2o2$bo2b3o5b3o2bo$bo4bo5bo
4bo$3bobo2b3o2bobo$3bo11bo$2bo13bo$b2obo2b5o2bob2o$b3o11b3o$b2o3b3ob3o
3b2o$5bo2bobo2bo2$2bo3bo5bo3bo$b3o2b2o3b2o2b3o$bob2ob3ob3ob2obo$2b3ob
o5bob3o$2b2o3b2ob2o3b2o2$7b2ob2o$6bobobobo$5b2o5b2o$5bo2bobo2bo$5b2ob
obob2o$3bo4bobo4bo$3b4o5b4o$2bo13bo$3b5o3b5o$3b2o3bobo3b2o$3bo2bobobo
bo2bo$3b2obo5bob2o$4bo9bo$b2obo2bo3bo2bob2o$o3bo9bo3bo$3bob2o5b2obo$o
2bo11bo2bo$3bo11bo$bob2o9b2obo$2obob3o3b3obob2o$3bobob2ob2obobo$3bobo
2bobo2bobo$2bob4o3b4obo$5b3o3b3o$4bo9bo$4bo9bo$3bo2bo5bo2bo$7bo3bo$5b
3o3b3o$8bobo$4b3obobob3o$3bo2bobobobo2bo$2bobobobobobobobo$2bobobobob
obobobo$3bo2bobobobo2bo$4bobobobobobo$3b2obobobobob2o$5b2obobob2o$2b2o
2bobobobo2b2o$2ob4obobob4ob2o$4b2ob2ob2ob2o$obo13bobo$7b2ob2o$4b3obob
ob3o$3b2ob2o3b2ob2o$2bo3bo5bo3bo$2b3ob2o3b2ob3o$bo15bo$o2b2o2bo3bo2b2o
2bo$bob2o4bo4b2obo$2bo3bob3obo3bo$bo2bo9bo2bo$7b5o$2bo4bobobo4bo$3b2o
9b2o2$3bo4b3o4bo$b2o5b3o5b2o$9bo$9bo$4bo3bobo3bo$3b3o7b3o$3bob2o2bo2b
2obo$6bo5bo$2b3o9b3o$2b6o3b6o$3bob2obobob2obo2$4b2o7b2o$3b2o2b5o2b2o$
3b13o$5bo3bo3bo3$2b3o3b3o3b3o$2bo2bo2b3o2bo2bo$bo3bo3bo3bo3bo$bobo5bo
5bobo$2obo2bo2bo2bo2bob2o$3o2b2o2bo2b2o2b3o$2bo13bo$2o15b2o$2obo11bob
2o2$3bo4b3o4bo$bo2bo2bo3bo2bo2bo$4bobo5bobo$2bo2b9o2bo$3bo2bo5bo2bo$5b
2o5b2o$5bo7bo$9bo$5b3o3b3o2$5b2o5b2o$4bo2bo3bo2bo$3b2o9b2o$3b2o9b2o$3b
2o9b2o$6bo5bo2$2b3o4bo4b3o$8b3o$4bob2obob2obo$3bo2b2obob2o2bo$2b2obob
5obob2o$b3o5bo5b3o$3bo11bo$b2o13b2o2$b2o6bo6b2o$o2bo4b3o4bo2bo$bobo3b
5o3bobo$5b2o5b2o$2b5o5b5o$3b2obo5bob2o$5b2o5b2o$6bo2bo2bo$9bo$7bo3bo$
6b2obob2o$8b3o$8b3o$5b2o5b2o2$6bob3obo$6b7o$5bo3bo3bo2$4b4o3b4o$3bo4b
obo4bo$2bobo3bobo3bobo$b2obo9bob2o$2bobobo5bobobo$2bo3b2o3b2o3bo$2bo6b
o6bo$2bo3bob3obo3bo$2bo13bo$3b2obobobobob2o2$7b2ob2o$7b2ob2o2$7bo3bo$
5bobo3bobo$4bo9bo$4b2o7b2o$5b2o2bo2b2o$4bobobobobobo$3b2obobobobob2o$
2bo3bo5bo3bo$2bob11obo$3bo2bob3obo2bo$2b4o7b4o$5bo7bo$b2o13b2o2$2bo13b
o$2b2obo7bob2o$5bo7bo$2b2o2bo5bo2b2o$bobob2o5b2obobo$2obo4b3o4bob2o$b
obo11bobo$bob2o9b2obo$b3obo2bobo2bob3o$ob2o5bo5b2obo$9bo2$9bo$4bo3b3o
3bo$3b3o7b3o$2b2o2bo5bo2b2o$2b2ob3o3b3ob2o$2b2o2b2o3b2o2b2o$6b2o3b2o$
2b2o11b2o$6bo5bo$2b2ob2o2bo2b2ob2o$4b3o2bo2b3o$3bo5bo5bo!

Code: Select all

x = 10, y = 79, rule = B34ez/S23
3b3o$2bo2bo$2bo2bo$2bo3bo$bo4bo$bo$5b2o$2b2o$3b3o2$6bo$3bo2bo$2b2o2bo
$2b3o$2b3o$2b3o$3b2o6$3b3o$2bo2bo$7bo$bo3bo$2b3o3bo$6b2o$6b2o$4b3o$3b
o3bo$2bo3bo$3b2o$3bobo$2b3o$3bo2bo$2b3o$2b3o$3b2o6$3b3o$3bo2bo$bo$3bo
3bo$o3b3o$b2o$b2o$2bob2o$2bo$2o4b2o$ob3o2bo$o2bobo$2b2obob2o$2b2obo$2b
6o$2b2o3b2o$9bo$9bo$3b3o$3bo2bo$bo$3bo3bo$o3b3o$b2o$b2o$2b3o$bo3bo$2b
o3bo$4b2o$3bobo$4b3o$2bo2bo$4b3o$4b3o$4b2o!
And something I can't believe I haven't found before:

Code: Select all

x = 16, y = 7, rule = B34ez/S23
b3o8b3o$o2bo8bo2bo$5bo4bo$3o10b3o$2b2o2bo2bo2b2o$5b2o2b2o$5bo4bo!
A basic c/2:

Code: Select all

x = 17, y = 13, rule = B34ez/S23
4bo7bo$3b3o5b3o$5b2o3b2o$2b2o2b2ob2o2b2o$6bo3bo$6b5o$4bobo3bobo$3b2ob
o3bob2o$2bobobobobobobo$b2obo7bob2o$o3bo7bo3bo2$2ob2o7b2ob2o![code]
A very basic tagalong:
[code]x = 19, y = 15, rule = B34ez/S23
5bo7bo$4b3o5b3o$6b2o3b2o$3b2o2b2ob2o2b2o$7bo3bo$7b5o$5bobo3bobo$4b2ob
o3bob2o$3bobobobobobobo$2b2obo7bob2o$bo3bo7bo3bo2$b2ob2o7b2ob2o$o5bo5b
o5bo$bo3bo7bo3bo!
Another:

Code: Select all

x = 19, y = 31, rule = B34ez/S23
4b3o5b3o$4bo2bo3bo2bo$3b2o3bobo3b2o$8bobo$6bo5bo$7bobobo$4b2obobobob2o
$5bobo3bobo$2b2obo2bobo2bob2o$2b2obo7bob2o$2bobo9bobo$b2ob2o7b2ob2o$b
o15bo$obob2o7b2obobo$6bo5bo$3bobob2ob2obobo$2b4o2bobo2b4o$2b2o4bobo4b
2o$5b2obobob2o$8bobo$2bo5bobo5bo$b3o3bo3bo3b3o$3b2o2bobobo2b2o$2o2b2o
bo3bob2o2b2o$4bo2bo3bo2bo$4b2o2bobo2b2o$2bobobobobobobobo$b2obobo5bob
ob2o$o3bob2o3b2obo3bo$6b2o3b2o$2ob2o9b2ob2o!
Another c/2(with extensive tagalong):

Code: Select all

x = 24, y = 85, rule = B34ez/S23
3bo16bo$2b3o14b3o$4b2o12b2o$b2o2b2o10b2o2b2o$5bo12bo$5b2o10b2o$2b2obo
b2o6b2obob2o$b2o2bobo8bobo2b2o$bobobobob2o2b2obobobobo$2o5bob2o2b2obo
5b2o$bo5bobob2obobo5bo$obo3bo10bo3bobo$b3o2bobo6bobo2b3o$3b2obo2b6o2b
ob2o$4bobob2ob2ob2obobo$6bo10bo$3b2obob3o2b3obob2o$6bo10bo$6bo2b6o2bo
$5bo12bo$5bob2o6b2obo$4b5o6b5o$9b6o$3bob2o2bob2obo2b2obo$2b2ob2o10b2o
b2o2$b2obob2o8b2obob2o2$6bo10bo2$4b2ob2o6b2ob2o$4b2ob2o6b2ob2o$3b2obo
b2o4b2obob2o2$3b3o12b3o2$3b3o12b3o$2b2ob2o10b2ob2o2$b2obob2o8b2obob2o
2$6bo10bo2$4b2ob2o6b2ob2o$4b2ob2o6b2ob2o$3b2obob2o4b2obob2o2$3b3o12b3o
2$3b3o12b3o$2b2ob2o10b2ob2o2$b2obob2o8b2obob2o2$6bo10bo2$4b2ob2o6b2ob
2o$4b2ob2o6b2ob2o$3b2obob2o4b2obob2o2$3b3o12b3o2$3b3o12b3o$2b2ob2o10b
2ob2o2$b2obob2o8b2obob2o2$6bo10bo2$4b2ob2o6b2ob2o$4b2ob2o6b2ob2o$3b2o
bob2o4b2obob2o2$3b3o2$3b3o$2b2ob2o2$b2obob2o2$6bo2$4b2ob2o$4b2ob2o$3b
2obob2o!
This rule is SO interesting. Many things in B3/S23 that works would work easier here.
Please help me with creating a thread of this rule.
Roaming OCA randomly.

Code: Select all

x = 23, y = 11, rule = B2n3-jknr4ky5-eqry6ik7c8/S234cktwz5ai6-ci7c
2bo2b3o2bo7bo2bo$b2ob5ob2o6b2ob2o$2bo2b3o2bo7bo2bo4$10b2o$b3o5bobo$2o
b2o4b3o$b3o5bobo$10b2o!
WhiteHawk
Posts: 1361
Joined: July 10th, 2024, 5:34 pm

Re: Rules 2 transitions from Life

Post by WhiteHawk »

WhiteHawk wrote: November 13th, 2024, 1:56 am A rule where the Odd Traffic Stop is even (p28), and the Even Traffic Stop is odd (and prime-period 37)
It's been a bit since my last investigations here, but a p36 loop based on a p35 from life

Code: Select all

x = 73, y = 73, rule = B34c8/S23
20b2ob2o10b2ob2o$20bo3bo10bo3bo$21b3o12b3o3$21b3o12b3o$20bo2bo12bo2bo
$20bob2o5b2o5b2obo$24b3ob4ob3o$21b2ob4o4b4ob2o$24b2o8b2o$26b2o4b2o$27b
6o$43bo$41b3o$40bo$40b2o$38b3o$37b3o$28b2o6bo2b2o$27b2obo4b3ob2o25bo4b
2o$28bobo5b5o23b2obo2bobo$38bo25b2ob4o$67bo2bobo$60bobo2b2o4b2o$32bob
o4b2o10b3o6bobo$32b2o5bobo19b2o$33bo5bo15bo$48b3o4bo6b3o$13b2o33b3o4b
obo4b3o$14bo35bo11b3o$14bobo45b3o$15b2o$2o4bo54b2o$obo2bob2o14bobo22b
2o10bobo$2b4ob2o10b2ob3o23bo2bo8bobo2b2o4b2o$obo2bo12bo2b2obo23bo3bo14b
o2bobo$2o4b2o2bobo6bobo28bobo11b2ob4o$10bobo7bo30b2o11b2obo2bobo$10b2o
54bo4b2o$28bo27b2o$8b3o18bo13b2o11bobo$8b3o4bo11b3o14b2o12bo$8b3o6bo2b
o22bo14b2o$8b3o5b2o2b3o$17bo2bo$10b2o$10bobo$2o4b2o2bobo$obo2bo$2b4ob
2o27b2o6bo$obo2bob2o26bo2b2o3b3o$2o4bo28b5o2b5o$43b3o$44bo2$31b2o$32b
o$29b3o$29bo$40b6o$39b2o4b2o$37b2o8b2o$34b2ob4o4b4ob2o$37b3ob4ob3o$33b
ob2o5b2o5b2obo$33bo2bo12bo2bo$34b3o12b3o3$34b3o12b3o$33bo3bo10bo3bo$33b
2ob2o10b2ob2o!
EDIT: New rephased TL hassler collection (Top +1, Middle +2, Bottom completed partials). P35 loop is still the only odd composite TL hassler known

Code: Select all

x = 345, y = 181, rule = B34c8/S23
154b2o9b2o$154bo11bo$155b3o5b3o$140bo16bo5bo16bo$140b3o35b3o$143bo15b
2o16bo$142b2o14bo2bo15b2o$153bo5b2o$152b3o$151bo2bo$146bo3b5o19b3o$145b
3o3bo2bo10b3o6bobo$145bo2bo3b3o10bobo6b3o$145b5o3bo11b3o$129b2o14bo2b
o41b2o$130bo14b3o42bo$130bobo13bo41bobo$131b2o23b2o5b2o23b2o16bo$156b
o7bo17b3o21b3o$137b5o15b3ob3o18bobo24bo$136b2obob2o16bobo20b3o23b2o$137b
obobo$100b2o36b3o75b2o$100bobo2b2o32bo77bo$102bo3bo29bo80bob2o$57b2o39b
4ob3o29b3o78b2obo2bo$57bobo2b2o34bo2bobo4b2o24bobobo80bob2o$8b2o14b2o
33bo3bo44bo24b2obob2o41b3o35bo41bo14bo$4b2obobo14bobob2o25b4ob3o23bo19b
obo17b2o6b5o42bobo9b2o15b3o5b2o34b2o4bobo12bobo4b2o$5bobo18bobo20bo5b
o2bo27b3o17b2o18bobo52b3o8bobo9bo5bobo18b2o21bobo4bo14bo4bobo$5bob2o16b
2obo20b3o6bob5o24bo38bo14b2o31b2o14bo10bobo4b3o19bo23bo24bo$4b2o22b2o
22bo6bo5bo17b2o3b2o38b2o13bobo29bobo13b2o11bo27bobo21b3o20b3o$3bo3b2o
16b2o3bo20b2o7bo3b2o17bobo14b3o29bo12bo29bo57b2o24bo18bo$4bobo20bobo55b
o14bobo28bobo11b2o27b2o12bo23bo25b3o15b3o20b3o$3b2obo20bob2o54b2o13b3o
28bobo53bobo21bobo24bobo15bo6b3o6b3o6bo$bo2bob2o18b2obo2bo22b3o25b2o7b
3o37bo12b2o27b2o11bobo21bobo24b3o13bobo6bobo6bobo6bobo$b2obo5b3o8b3o5b
ob2o22bobo24bo2b2o5bobo50bo29bo12bo23bo41b2o7b3o6b3o7b2o$4bo5bobo3b2o
3bobo5bo25b3o24b2obo6b3o33b2o13bobo29bobo13b2o$4b2o4b3o2bo2bo2b3o4b2o
55bo25b2o15bo14b2o31b2o14bo22bo$16b2o67b2o25bo13bobo8b3o52bobo19bobo$
58b3o42b3o6bob2o10b2o9bobo42b5o6b2o19bobo18b3o$16b2o40bobo42bobo5b2o2b
o21b3o41b2obob2o27bo19bobo16b2o7b3o6b3o7b2o$4b2o4b3o2bo2bo2b3o4b2o28b
3o42b3o7b2o67bobobo48b3o16bobo6bobo6bobo6bobo$4bo5bobo3b2o3bobo5bo65b
3o13b2o70b3o37bo17b2o13bo6b3o6b3o6bo$b2obo5b3o8b3o5bob2o62bobo14bo71b
o30b3o4bobo16bobo12b3o20b3o$bo2bob2o18b2obo2bo17b2o3bo7b2o30b3o14bobo
66bo33bobo5bo19bo15bo18bo$3b2obo20bob2o19bo5bo6bo44b2o3b2o65b3o25b2o5b
3o25b2o11b3o20b3o$4bobo20bobo21b5obo6b3o41bo70bobobo24bo47bo24bo$3bo3b
2o16b2o3bo26bo2bo5bo23b2o17b3o24b3o20bobo16b2obob2o20b2obo45bobo4bo14b
o4bobo$4b2o22b2o23b3ob4o28bobo19bo24bobo18b3ob3o15b5o21bo2bob2o42b2o4b
obo12bobo4b2o$5bob2o16b2obo23bo3bo32bo46b3o17bo7bo42b2obo50bo14bo$5bo
bo18bobo23b2o2bobo29b2o4bobo2bo31b2o23b2o5b2o23b2o20bo$4b2obobo14bobo
b2o27b2o33b3ob4o30bobo41bo13bobo19b2o$8b2o14b2o65bo3bo34bo42b3o14bo$91b
2o2bobo31b2o41bo2bo14b2o26b2o$96b2o55b3o11bo3b5o42bo$144b3o6bobo10b3o
3bo2bo43b3o$144bobo6b3o10bo2bo3b3o45bo$144b3o19b5o3bo$166bo2bo$166b3o
$160b2o5bo$142b2o15bo2bo14b2o$143bo16b2o15bo$140b3o35b3o$140bo16bo5bo
16bo$155b3o5b3o$154bo11bo$81b2o8b2o61b2o9b2o$80bobo8bobo$80b2o10b2o2$
84b3o$12b2o5b2o63bobo$7b2o3bo7bo3b2o58b3o$6bobo4bo5bo4bobo$8bob3obo3b
ob3obo23bo6bo$5b2obobo3bo3bo3bobob2o19bobo4bobo15b2o26b2o$8bo5bobobo5b
o18b2o3bo6bo3b2o10bobo26bobo$7bobo2b2obobob2o2bobo17b2o14b2o10b2o10b3o
15b2o$8bo3bo2bobo2bo3bo58bobo3b3o$4b2o8b2ob2o8b2o23b3o28b3o3bobo4b3o$
2o2bo23bo2b2o19bobo3bo30b3o4bobo$obobo3b3o11b3o3bobobo11b3o5b3o3bo37b
3o$2bob2o2bobo11bobo2b2obo27bo16b3o$obobo3b3o11b3o3bobobo42bobo4b3o$2o
2bo23bo2b2o25bo16b3o4bobo3b3o$4b2o8b2ob2o8b2o15b3o5b3o3bo23b3o3bobo$8b
o3bo2bobo2bo3bo27bobo3bo12b2o15b3o10b2o$7bobo2b2obobob2o2bobo26b3o16b
obo26bobo$8bo5bobobo5bo47b2o26b2o$5b2obobo3bo3bo3bobob2o15b2o14b2o$8b
ob3obo3bob3obo18b2o3bo6bo3b2o$6bobo4bo5bo4bobo20bobo4bobo30b3o$7b2o3b
o7bo3b2o22bo6bo31bobo$12b2o5b2o66b3o2$80b2o10b2o$80bobo8bobo$81b2o8b2o
9$63bo2bo195b2ob2o10b2ob2o$46bo2bo12bo56b2o9b2o130bo3bo10bo3bo$16bo33b
o10bo5bo51bo11bo131b3o12b3o49bo7bo$15bobo27bo5bo9bo4b2o52b3o5b3o47bo147b
2obobo5bobob2o$14bo3bo26b2o4bo10bo42bo16bo5bo16bo32b3o144bob2obobo3bo
bob2obo$15bo3bo30bo12bo41b3o35b3o35bo81b3o12b3o43bo5bo2bobo2bo5bo$16b
o3bo28bo9bob4o43bo15b2o16bo37b2o80bo2bo12bo2bo43b3obo2b2ob2o2bob3o$17b
o3bo26b4obo6bo3bo42b2o14bo2bo15b2o118bob2o5b2o5b2obo45bobo9bobo$18bob
o9bo17bo3bo9bo3bo57b2o140b3ob4ob3o51bob7obo$19bo9bobo14bo3bo11b4obo50b
2o66b2o75b2ob4o4b4ob2o47b2obo5bob2o$28bo3bo12bob4o12bo53bo2bo52b3o9b3o
4b3o71b2o8b2o52bobo3bobo$27bo3bo17bo14bo52bobo19bobo43bo6bobo73b2o4b2o
50bo2b2obo3bob2o2bo$13bo12bo3bo17bo10b2o4bo16bo23b3o2bo5bobo10bobo5bo
2bo29bo5bo7b2o5b3o74b6o50bobobob2o3b2obobobo$12bobo4b3o3bo3bo17bo4b2o
5bo5bo15bobo26bobo5bo2b3o6bo2bo5bobo28b2o5bo107bo38bo2bo4bo3bo4bo2bo$
11bo3bo3bobo4bobo18bo5bo10bo13b2obobo26bobo17bobo44bo105b3o39b2obo11b
ob2o$10bo3bo4b3o5bo20bo7bo3bo2bo11bo3bobobob2o7b2o13bo2bo42b2o11bobo3b
o107bo43bobo3bo3bo3bobo$9bo3bo35bo2bo2bo12bo6bo5bobo2bo8bo6bo7b2o43bo
11bob2o3b2o19b2o85b2o41bo2bo2bo5bo2bo2bo$8bo3bo42bo2bo7b3o4b2obob2obo
b2o10bobo4bo50bobo11bo27bo84b3o42b2ob3o7b3ob2o$9bobo44b3o6bo7bo6b2o14b
2o4bo18b2o5b2o23b2o11b2o23bo4b3o80b3o46b2o9b2o$10bo7bo46b2o4b2o7bo24b
o15bo7bo17b3o42b2o4bo71b2o6bo2b2o45b2o9b2o$17bobob2o47b3o6b2ob2o19b2o
bo15b3ob3o48b2o12b2o76b2obo4b3ob2o25bo4b2o14bo4bo4bo$18b2obo2bo45b3o7b
obo19bo3bo17bobo20bobo27bo92bobo5b5o23b2obo2bobo15b2o5b2o$20bo2b2o29b
2o6b3o5b3o7bobo20b3o42bo25b3o103bo25b2ob4o$17bobo35bo6bobo5b3o6b2ob2o
91bo133bo2bobo16bo5bo$17b2o25bo7b3o7b3o6b2o7bo221bobo2b2o4b2o17b5o$43b
obo6bo20bo6b2o87b2o103bobo4b2o10b3o6bobo$43bobob2o24b2obob2obob2o83bo
bo103b2o5bobo19b2o21b2o13b2o$40b2obobobo3bo23bo5bobo2bo13b3o44bo20bo13b
3o16bo73bo5bo15bo29bo13bo$40bo2bobo5bo23bo3bobobob2o12bo3bo42bobo18b2o
13bo16bobo88b3o4bo6b3o20bobo9bobo$42b2obob2obob2o24b2obobo7b2o6bob2o55b
2o23bo16b2o53b2o33b3o4bobo4b3o21b2o9b2o$45b2o6bo20bo6bobo7bobo6bo45b3o
8bobo96bo35bo11b3o26b3o$46bo7b2o6b3o7b3o7bo10bo9bo4b2o31b2o14bo98bobo
45b3o26bobo$43b2ob2o6b3o5bobo6bo21b2o8bo4bobo29bobo13b2o99b2o74b3o$44b
obo7b3o5b3o6b2o24bo5bo6bo29bo101b2o4bo54b2o$44bobo7b3o39bobo11b2o27b2o
12bo88bobo2bob2o14bobo22b2o10bobo$43b2ob2o6b3o39bobo53bobo37bo51b4ob2o
10b2ob3o23bo2bo8bobo2b2o4b2o$46bo7b2o4b2o35bo12b2o27b2o11bobo36b2o15b
obo31bobo2bo12bo2b2obo23bo3bo14bo2bobo13b2o9b2o$45b2o6bo7bo6b3o39bo29b
o6bo5bo37bobo15b2o31b2o4b2o2bobo6bobo28bobo11b2ob4o14bobo9bobo$42b2ob
ob2obob2o4b3o7bo2bo21b2o13bobo29bobo4bo8b2o51bo42bobo7bo30b2o11b2obo2b
obo12bo13bo$40bo2bobo5bo6bo12bo2bo2bo15bo14b2o31b2o4bo9bo94b2o54bo4b2o
11b2o6bo6b2o$40b2obobobo3bo11bo2bo3bo7bo12bobo8b3o45bo6bobo110bo27b2o
32bo3bo$43bobob2o13bo10bo5bo11b2o55b2obo6b2o90b3o18bo13b2o11bobo$43bo
bo15bo5bo5b2o4bo22bobo42bo3bo98b3o4bo11b3o14b2o12bo$44bo16bo4b2o10bo24b
o44b3o99b3o6bo2bo22bo14b2o28b9o$62bo14bo122b2o16bo31b3o5b2o2b3o65b2o5b
2o$63bo12b4obo118bobo16bo13b2o24bo2bo66b2o7b2o$59bob4o11bo3bo119bo16b
3o13bo18b2o75bo9bo$60bo3bo9bo3bo152bobo18bobo$62bo3bo6bob4o23bo42b3o83b
2o9b2o4b2o2bobo70b2o2b3o5b3o2b2o$62b4obo9bo23bobo20bobo17bo3bo93bobo2b
o77bo2bob2o5b2obo2bo$63bo12bo45b3ob3o15bob2o78bo17b4ob2o27b2o6bo39bob
obo7bobobo$64bo10bo4b2o19b3o17bo7bo15bo79b3o14bobo2bob2o26bo2b2o3b3o37b
2ob2o9b2ob2o$59b2o4bo9bo5bo14b2o23b2o5b2o18bo4b2o69bo17b2o4bo28b5o2b5o
35bo2bo3b3ob3o3bo2bo$59bo5bo10bo18bobo50bo4bobo53b2o12b2o60b3o37bobob
2o7b2obobo$64bo12bo2bo14bo43b2o7bo6bo47bo4b2o76bo39bo2bobo5bobo2bo$60b
o2bo30b2o42bo2bo13b2o46b3o4bo23b2o96bobobo$118bobo17bobo65bo27bo38b2o
53b4o2bo2b4o$109bobo5bo2bo6b3o2bo5bobo64b2o19b2o3b2obo39bo54bob7obo$109b
o2bo5bobo10bobo5bo2b3o82bo3bobo37b3o53bobo9bobo$109bobo19bobo90bo46bo
53b3obo2b2ob2o2bob3o$130bo2bo90bo5b2o50b6o36bo5bo2bobo2bo5bo$131b2o74b
3o5b2o7bo5bo50b2o4b2o36bob2obobo3bobob2obo$125b2o80bobo6bo62b2o8b2o35b
2obobo5bobob2o$107b2o15bo2bo14b2o63b3o4b3o9b3o47b2ob4o4b4ob2o36bo7bo$
108bo16b2o15bo71b2o63b3ob4ob3o$105b3o35b3o129bob2o5b2o5b2obo$105bo16b
o5bo16bo129bo2bo12bo2bo$120b3o5b3o89b2o54b3o12b3o$119bo11bo88bo$119b2o
9b2o89b3o$223bo52b3o12b3o$275bo3bo10bo3bo$275b2ob2o10b2ob2o!
EDIT 2: New p28

Code: Select all

x = 56, y = 47, rule = B34c8/S23
15b2o10b2o$15bo12bo$17bo8bo$13b5o2bo2bo2b5o$12bo5b8o5bo$12bob5o6b5obo
13bo5b2o$15bo4b4o4bo17bo4bo2bo$13b2o2bo2bo2bo2bo2b2o10b2o2bo$16b2o8b2o
12bo2bobob2o$15b2o10b2o10bo4b2o2b2o4bo$15b2o10b2o16b2obobo2bo$16bo4b2o
4bo20bo2b2o$17b2o6b2o3b2o7bo2bo4bo$31bo9b2o5bo$18bo6bo5bob2ob3o$19b6o
7bo6bo$40bo2$16b2o16bo3b2o$2b2o5bo7bo5bo8bo3b2o4b2o5bo$o2bo4bo8bobo3b
o8bo7bo2bo4bo$9bo2b2o4b2o3bo8bo16bo2b2o$6b2obobo2bo31b2obobo2bo$o4b2o
2b2o4bo9b6o9bo4b2o2b2o4bo$bo2bobob2o31bo2bobob2o$2b2o2bo16bo8bo3b2o4b
2o2bo$7bo4bo2bo7bo8bo3bobo8bo4bo2bo$6bo5b2o4b2o3bo8bo5bo7bo5b2o$16b2o
3bo16b2o2$15bo$16bo6bo7b6o$17b3ob2obo5bo6bo$7bo5b2o9bo$8bo4bo2bo7b2o3b
2o6b2o$3b2o2bo20bo4b2o4bo$2bo2bobob2o16b2o10b2o$bo4b2o2b2o4bo10b2o10b
2o$7b2obobo2bo12b2o8b2o$10bo2b2o10b2o2bo2bo2bo2bo2b2o$bo2bo4bo17bo4b4o
4bo$3b2o5bo13bob5o6b5obo$24bo5b8o5bo$25b5o2bo2bo2b5o$29bo8bo$27bo12bo
$27b2o10b2o!
Also an variant of the P33 in life, P34 in B34c8/S23 which loses volmatchstrict status in B34c8/S23

Code: Select all

x = 69, y = 69, rule = B34c8/S23
28b2o9b2o$28bo11bo$29b3o5b3o$14bo16bo5bo16bo$14b3o35b3o$17bo15b2o16bo
$16b2o14bo2bo15b2o$33b2o$27b2o$26bo2bo$26bobo19bobo$15b3o2bo5bobo10bo
bo5bo2bo$19bobo5bo2b3o6bo2bo5bobo$19bobo17bobo$3b2o13bo2bo42b2o$4bo6b
o7b2o43bo$4bobo4bo50bobo$5b2o4bo18b2o5b2o23b2o$14bo15bo7bo17b3o$12b2o
bo15b3ob3o$11bo3bo17bobo20bobo$12b3o42bo5$9b3o44bo$8bo3bo42bobo$2o6bo
b2o55b2o$obo6bo45b3o8bobo$2bo9bo4b2o31b2o14bo$2b2o8bo4bobo29bobo13b2o
$6bo5bo6bo29bo$5bobo11b2o27b2o12bo$5bobo53bobo$6bo12b2o27b2o11bobo$19b
o29bo6bo5bo$2b2o13bobo29bobo4bo8b2o$2bo14b2o31b2o4bo9bo$obo8b3o45bo6b
obo$2o55b2obo6b2o$11bobo42bo3bo$12bo44b3o5$11bo42b3o$10bobo20bobo17bo
3bo$31b3ob3o15bob2o$10b3o17bo7bo15bo$5b2o23b2o5b2o18bo4b2o$4bobo50bo4b
obo$4bo43b2o7bo6bo$3b2o42bo2bo13b2o$27bobo17bobo$18bobo5bo2bo6b3o2bo5b
obo$18bo2bo5bobo10bobo5bo2b3o$18bobo19bobo$39bo2bo$40b2o$34b2o$16b2o15b
o2bo14b2o$17bo16b2o15bo$14b3o35b3o$14bo16bo5bo16bo$29b3o5b3o$28bo11bo
$28b2o9b2o!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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rabbit
Posts: 244
Joined: March 4th, 2024, 6:00 am
Location: Stuck inside a magician's hat. it hurts so bad

Re: Rules 2 transitions from Life

Post by rabbit »

B3/S23-e4t

Period 46 oscillator and glider gun:

Code: Select all

x = 18, y = 11, rule = B3/S23-e4t
2b2o$bobob2o8b2o$2o3b2o9b2o$bobob2o5b5o$2b2o8b4o2$2b2o8b4o$bobob2o5b5o
$2o3b2o9b2o$bobob2o8b2o$2b2o!

Code: Select all

x = 39, y = 46, rule = B3/S23-e4t
16bo5bo$15b3o3b3o$14bo3bobo3bo$14b2ob2ob2ob2o2$15b3o3b3o$15b3o3b3o6$
17b2ob2o$17b2ob2o$17b2ob2o$15bob2ob2obo$15b3o3b3o$16bo5bo10$26bo$24bob
o$25b2o4$12b2o$2b2o10bo$o3b2o5b2o2bo$o4bo6bo2bo$o3b2o7bobo$2b2o9b2o22b
o$38bo$2b2o9b2o21b3o$o3b2o7bobo$o4bo6bo2bo$o3b2o5b2o2bo$2b2o10bo$12b2o
!
That's the bunny.
Check out my OCA exploration script, crule.lua!
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LuveelVoom
Posts: 518
Joined: April 27th, 2022, 7:59 pm

Re: Rules 2 transitions from Life

Post by LuveelVoom »

rabbit wrote: April 25th, 2025, 1:40 pm B3/S23-e4t

Period 46 oscillator and glider gun:

Code: Select all

x = 18, y = 11, rule = B3/S23-e4t
2b2o$bobob2o8b2o$2o3b2o9b2o$bobob2o5b5o$2b2o8b4o2$2b2o8b4o$bobob2o5b5o
$2o3b2o9b2o$bobob2o8b2o$2b2o!

Code: Select all

x = 39, y = 46, rule = B3/S23-e4t
16bo5bo$15b3o3b3o$14bo3bobo3bo$14b2ob2ob2ob2o2$15b3o3b3o$15b3o3b3o6$
17b2ob2o$17b2ob2o$17b2ob2o$15bob2ob2obo$15b3o3b3o$16bo5bo10$26bo$24bob
o$25b2o4$12b2o$2b2o10bo$o3b2o5b2o2bo$o4bo6bo2bo$o3b2o7bobo$2b2o9b2o22b
o$38bo$2b2o9b2o21b3o$o3b2o7bobo$o4bo6bo2bo$o3b2o5b2o2bo$2b2o10bo$12b2o
!

Code: Select all

x = 35, y = 41, rule = B3/S23-e4t
31bo$30b3o$29bo2b2o2$28b2o$28b2o$28b2o3$33bo$20b2o10bobo$19bobo9bo2bo
$19bobo10b2o2$16b4o$15bo2b2o$14bobob2o$15b2o4$10b3o$9bo2b2o$8bo3b2ob3o
$9bo2b2obo$9b2obo$13bo$11b2o11$bo$obo$b2o!
16c/76d
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: 16c/76d

Post by confocaloid »

LuveelVoom wrote: April 25th, 2025, 6:38 pm [...] 16c/76d
Essentially the same problem as in the other thread: the spaceship is extremely common, and it was already known back in 2021 (possibly earlier):
https://catagolue.hatsya.com/haul/b3s23 ... 583d783aca

Code: Select all

submitted by LaundryPizza03 on 2021-02-04 at 01:02:10 UTC
It was even already posted here in this thread (although by a different person, and later): viewtopic.php?p=157123#p157123

Forum rule 4: "This is an academic forum, not a chat or microblogging platform. Please spend some time doing some research to familiarize yourself with what is and isn't already known [...] before posting your discoveries. [...]"
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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