## Rules 2 transitions from Life

For discussion of other cellular automata.

### Rules 2 transitions from Life

Let's expand the search space!

B34yz/S23 decays slightly faster and has this B-puffer:
x = 28, y = 40, rule = B34yz/S2318$18bobo2$12b3o7b4o$12b2o4bo6bo$2b3o7b2o5bo5bo$20bo3bo$22bo!
Last edited by KittyTac on October 5th, 2018, 10:01 pm, edited 1 time in total.

KittyTac

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### B3/S23-ik

Some natural objects in B3/S23-ik:
x = 57, y = 17, rule = B3/S23-ik24bo12b2o9b2o$3bo7b2o10b3o11b2o9b2o5bo$bob2o5bo2bo8bo2bo11b2o9b2o4bobo$4o6bobo3bo4bo2bo11b3o8b3o5b2o$2b4o5bob4o4bo2bo11b3o8b3o$b2obo7b2obo6bo2bo11b2o9b2o$2bo10bo9b3o11b2o9b2o$24bo12b2o9b2o3$b2o3b2o$2o5b2o$18bo$2o5b2o7b3o$2o5b2o6bo2bo$15bo$14b3o!

Top: p3, p3, p8, p10, p60
Bottom: c/34 orthogonal, c/14 diagonal

A few more symmetric oscillators: (p7, p7, p12)
x = 46, y = 20, rule = B3/S23-ik9b2o$9b2o2$28bo$9b2o17bo$5b2ob4ob2o12bo$5b2obo2bob2o14bo14b2o$29bo10b2ob3o$5b2o6b2o12bo12bo4bo$2o2b2o8b2o2b2o6b2o5b2o6b4o$2o2b2o8b2o2b2o6b2o5b2o$5b2o6b2o12bo13b4o$29bo10bo4bo$5b2obo2bob2o14bo10b2ob3o$5b2ob4ob2o12bo16b2o$9b2o17bo$28bo2$9b2o$9b2o! Ian07 Posts: 100 Joined: September 22nd, 2018, 8:48 am ### Re: Rules 2 transitions from Life SparkLife (B36i/S234j) is in this rulespace! Another well-known rule in it is DryLife (B37/S23). This is, of course, a significantly larger rulespace than the ones just 1 transition from Life, so I expect there are numerous other interesting rules in it as well. 77topaz Posts: 1000 Joined: January 12th, 2018, 9:19 pm ### Re: Rules 2 transitions from Life B2c3-j/s23 x = 49, y = 75, rule = B2c3-j/S237$10bo$10bo$10bo$10bo$9bobo$9bobo$10bo6$8b2o$8bobo$10bobo17bobo$11b2o16b2ob2o$30bo2bo6$10bo$9b3o$8bo2bo$7b2o$8b2o6$22bobo2$10bo9bo$9b3o7b3o$8bo2bo6bo2bo$8b2o8b2o3$26bo$30bobo5b2o$11bo12b3o2bo2bo5bo$29bo2bo5b2o$10bobo16b3o5b2o$9b2ob2o$10bobo2$11bo5$10b2o$9bo3bo$8bo4bo$9bo3bo$8bo3bo$10bo$10bo!

Edit: New natural c/15
x = 9, y = 8, rule = B2c3-j/S232bo$bo$o2bo$2bobo3bo$4bo3bo$2bo2bo2bo$4b2o$5b2o! Last edited by Sarp on October 9th, 2018, 12:58 am, edited 1 time in total. WADUFI Sarp Posts: 106 Joined: March 1st, 2015, 1:28 pm ### Re: Rules 2 transitions from Life And, of course, nobody forget about tlife. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1674 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Rules 2 transitions from Life This rule has a 2g MWSS synth, inspired by Entity Valkyrie's profile picture: x = 7, y = 3, rule = B3-q4a/S23bo4bo$2bob2o$3o2b2o! Dani/Danny. Semi-Obsessed with programming. unProfessional rulegolfer and floofy boi. Discord: dani#5700 danny Posts: 828 Joined: October 27th, 2017, 3:43 pm Location: i love to eat bees ### Re: Rules 2 transitions from Life B37/S23 and B3/S237 are both explosive, B37/S23 being slightly more so. KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am ### Re: Rules 2 transitions from Life This p11 was a surprise: x = 5, y = 9, rule = B3-j/S0232o$obo$2b2o$b2o3$2bobo$2bobo$2b3o! EDIT: The pi alone works too EDIT: As well as a p3 I have mentioned before: x = 2, y = 5, rule = B3-j/S023bo$bo$2o2$o!

EDIT: Unrelated rule, a p100 I have mentioned as well:
x = 6, y = 7, rule = B3-r/S234z2bo$b3o$o2bo$b2o2$4b2o$4b2o! Life is hard. Deal with it. This is my new favorite spaceship: x = 8, y = 4, rule = B3-ek/S023bobo$2obo3bo$bobo$3bo!

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### Re: Rules 2 transitions from Life

B3/S23-n4w has a natural puffer from a failed replicator:
x = 5, y = 4, rule = B3/S23-n4w2bo$bobo$o3bo$b3o! A more complicated variant: x = 15, y = 70, rule = B3/S23-n4w5b2ob2o$5b2ob2o2$5b2ob2o$5b2ob2o41$6b3o$6bobo$6bobo3$3bo3bo3bo$2bo3bobo3bo$3bo3bo3bo2$5bo3bo2$b3o7b3o4$b2o9b2o$b2o2b2ob2o2b2o$o4b2ob2o4bo$b2o2b2ob2o2b2o$b2o9b2o3$5b2ob2o$5b2ob2o$7bo!
Last edited by 77topaz on December 29th, 2018, 6:33 am, edited 2 times in total.

77topaz

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### Re: Rules 2 transitions from Life

p136 shuttle in that rule:
x = 51, y = 17, rule = B3/S23-n4w18bo18bo$17b3o16b3o$35bo$16b2ob2o17b2o$2bo14b3o28bo$bobo14bo28bobo$bobo9bo3bobo3bo23bobo$2ob2o6bobo9bobo20b2ob2o$10b2o13b2o$2ob2o6bobo9bobo20b2ob2o$bobo9bo3bobo3bo23bobo$bobo14bo28bobo$2bo14b3o28bo$16b2ob2o17b2o$35bo$17b3o16b3o$18bo18bo!

EDIT: 3c/7:
x = 7, y = 4, rule = B3/S23-n4wo5bo$b2ob2o$b2ob2o$3bo! EDIT2: Fuse: x = 156, y = 13, rule = B3/S23-n4w23bo$19bobo2b2o$19bobo$20b2o$2o18bo2bo6bo39b2o26b2o26b2o26b2o$2o19b3o5bobo38b2o26b2o26b2o26b2o$29bo2bo$2o19b3o5bobo38b2o26b2o26b2o26b2o$2o18bo2bo6bo39b2o26b2o26b2o26b2o$20b2o$19bobo$19bobo2b2o$23bo! Fuse2: x = 240, y = 11, rule = B3/S23-n4w52b2o9b2o54b2o15b2o2$44bo7bo11bo7bo47bo15bo$2o41b3o25b3o24b2o26b2ob2o51b2o26b2o26b2o$2o40b5o23b5o23b2o26b2ob2o51b2o26b2o26b2o$41b2o3b2o21b2o3b2o$2o40b5o23b5o23b2o26b2ob2o51b2o26b2o26b2o$2o41b3o25b3o24b2o26b2ob2o51b2o26b2o26b2o$44bo7bo11bo7bo47bo15bo2$52b2o9b2o54b2o15b2o! Reburnable fuse: x = 21, y = 240, rule = B3/S23-n4w8b2ob2o$8b2ob2o27$8b2ob2o$8b2ob2o27$8b2ob2o$8b2ob2o44$10bo$9bobo$8bo3bo$8bo3bo$8bo3bo$9bobo$10bo$6bo7bo$5bobo5bobo$bob2ob3o3b3ob2obo$o2b2o2b3ob3o2b2o2bo$bob2ob3o3b3ob2obo$5bobo5bobo$6bo7bo$10bo$9bobo$8bo3bo$8bo3bo$8bo3bo$9bobo$10bo2$8b2ob2o$8b2ob2o2$8b2ob2o$8b2ob2o2$10bo$9bobo$8bo3bo$8bo3bo$8bo3bo$9bobo$10bo$6bo7bo$5bobo5bobo$bob2ob3o3b3ob2obo$o2b2o2b3ob3o2b2o2bo$bob2ob3o3b3ob2obo$5bobo5bobo$6bo7bo$10bo$9bobo$8bo3bo$8bo3bo$8bo3bo$9bobo$10bo8$10bo$9bobo$8bo3bo$8bo3bo$8bo3bo$9bobo$10bo$6bo7bo$5bobo5bobo$bob2ob3o3b3ob2obo$o2b2o2b3ob3o2b2o2bo$bob2ob3o3b3ob2obo$5bobo5bobo$6bo7bo$10bo$9bobo$8bo3bo$8bo3bo$8bo3bo$9bobo$10bo2$8b2ob2o$8b2ob2o2$8b2ob2o$8b2ob2o27$8b2ob2o$8b2ob2o27$8b2ob2o$8b2ob2o! It's sad the gliders in this rule are so few, because we could genuinely have a very interesting rule to construct with... Dani/Danny. Semi-Obsessed with programming. unProfessional rulegolfer and floofy boi. Discord: dani#5700 danny Posts: 828 Joined: October 27th, 2017, 3:43 pm Location: i love to eat bees ### Re: Rules 2 transitions from Life Two copies of the failedrep seed make a 28c/68 repship: x = 23, y = 27, rule = B3/S23-n4w7bo2bobo2bo$7b3o3b3o$6bo9bo4$2bo5bo5bo5bo$bobo4bo5bo4bobo$o3bo13bo3bo$bobo15bobo$2bo17bo4$3b2o13b2o$3b2o13b2o8$3b3o11b3o$2bo3bo9bo3bo$3bobo11bobo$4bo13bo!

One cell further apart and you get another puffer variant:
x = 20, y = 4, rule = B3/S23-n4wb3o12b3o$o3bo10bo3bo$bobo12bobo$2bo14bo! Last edited by 77topaz on December 29th, 2018, 6:40 am, edited 1 time in total. 77topaz Posts: 1000 Joined: January 12th, 2018, 9:19 pm ### Re: Rules 2 transitions from Life Oh, hey, that's a thing. I don't know if a gun is possible... - Here's a 2tran rule with a familiar four MWSS: x = 3, y = 4, rule = B34w/S235abo$b2o$obo$bo!

Dani/Danny. Semi-Obsessed with programming. unProfessional rulegolfer and floofy boi.

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### Re: Rules 2 transitions from Life

p20 backrake in B2e3-a/S23:
x = 20, y = 23, rule = B2e3-a/S2314b2o$13bo$14b3o2$14b2o$13bo$14b2o2$4b2o$3bo3bo2bo3bo$4b5obo2b2o2$4b5obobobo$3bo4bobobobo$4b2o10b4o$16bo2bo$b2o13b4o$o4bobobobo$b5obobobo2$b5obo2b2o$o3bo2bo3bo$b2o!

Is a p40 rake possible?
x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

LaundryPizza03

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### Re: Rules 2 transitions from Life

B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough.

EDIT: Pi-heptomino acts like a failed replicator:
#C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o$obo$obo!
Almost c/2:
x = 19, y = 10, rule = LifeHistory7.D3.D$6.DCD.DCD$5.DC2AD2ACD$3.2DAC2.A2.CA2D$3.AC.C2.D2.C.CA$.2D.C.AD.A.DA.C.2D$.2C.A2.A3.A2.A.2C$.CA.2D7.2D.AC$DC2.2A7.2A2.CD$2A15.2A!#C [[ STOP 2 ]] Hunting Posts: 415 Joined: September 11th, 2017, 2:54 am Location: Universe ### Re: Rules 2 transitions from Life Hunting wrote:B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough. EDIT: Pi-heptomino acts like a failed replicator: #C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o$obo$obo! Very large ships don't seem to stabilize at all. I note, also, that B38/S237e has a failed pi replicator as well, but appears to be stable on the large scale: x = 3, y = 3, rule = B38/S237e3o$obo$obo! (See generations 26, 30, 146. Stabilization time is 556.) x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 255 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Rules 2 transitions from Life LaundryPizza03 wrote: Hunting wrote:B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough. EDIT: Pi-heptomino acts like a failed replicator: #C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o$obo$obo! Very large ships don't seem to stabilize at all. Really? Try to run some more generation. I've run some 100x100 soup in Golly and most of them stabilize at 100,000+ generations. Almost c/2: x = 19, y = 10, rule = LifeHistory7.D3.D$6.DCD.DCD$5.DC2AD2ACD$3.2DAC2.A2.CA2D$3.AC.C2.D2.C.CA$.2D.C.AD.A.DA.C.2D$.2C.A2.A3.A2.A.2C$.CA.2D7.2D.AC$DC2.2A7.2A2.CD$2A15.2A!#C [[ STOP 2 ]]
Hunting

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### Re: Rules 2 transitions from Life

LaundryPizza03 wrote:
Hunting wrote:B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough.

EDIT: Pi-heptomino acts like a failed replicator:
#C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o$obo$obo!

Very large ships don't seem to stabilize at all.

WAIT! EVEN A 16x16 SOUP CAN EXPLODE!

x = 16, y = 16, rule = B3/S237e83obob2obobo$b3o3b3obo2b2o$4obo2bo3b3o$o2bob2ob3ob3o$o6bo3bo$o4b2o3bob3o$2bo2b2o2b3o$obobo6b3o$2bob8o3bo$b2o2b3o2bo3bo$bob2o2bob2obob2o$o4b3o3bob3o$b3o3bobo3b3o$2bobo3b2obo2b2o$o3bobo2b2o2b3o$2bo2b2ob3o3bo! Almost c/2: x = 19, y = 10, rule = LifeHistory7.D3.D$6.DCD.DCD$5.DC2AD2ACD$3.2DAC2.A2.CA2D$3.AC.C2.D2.C.CA$.2D.C.AD.A.DA.C.2D$.2C.A2.A3.A2.A.2C$.CA.2D7.2D.AC$DC2.2A7.2A2.CD$2A15.2A!#C [[ STOP 2 ]]
Hunting

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