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Rules 2 transitions from Life

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Rules 2 transitions from Life

Postby KittyTac » October 5th, 2018, 8:28 am

Let's expand the search space!

B34yz/S23 decays slightly faster and has this B-puffer:
x = 28, y = 40, rule = B34yz/S23
18$18bobo2$12b3o7b4o$12b2o4bo6bo$2b3o7b2o5bo5bo$20bo3bo$22bo!
Last edited by KittyTac on October 5th, 2018, 10:01 pm, edited 1 time in total.
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B3/S23-ik

Postby Ian07 » October 5th, 2018, 4:05 pm

Some natural objects in B3/S23-ik:
x = 57, y = 17, rule = B3/S23-ik
24bo12b2o9b2o$3bo7b2o10b3o11b2o9b2o5bo$bob2o5bo2bo8bo2bo11b2o9b2o4bobo
$4o6bobo3bo4bo2bo11b3o8b3o5b2o$2b4o5bob4o4bo2bo11b3o8b3o$b2obo7b2obo6b
o2bo11b2o9b2o$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-ik
9b2o$9b2o2$28bo$9b2o17bo$5b2ob4ob2o12bo$5b2obo2bob2o14bo14b2o$29bo10b
2ob3o$5b2o6b2o12bo12bo4bo$2o2b2o8b2o2b2o6b2o5b2o6b4o$2o2b2o8b2o2b2o6b
2o5b2o$5b2o6b2o12bo13b4o$29bo10bo4bo$5b2obo2bob2o14bo10b2ob3o$5b2ob4ob
2o12bo16b2o$9b2o17bo$28bo2$9b2o$9b2o!
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Re: Rules 2 transitions from Life

Postby 77topaz » October 8th, 2018, 5:31 am

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.
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Re: Rules 2 transitions from Life

Postby Sarp » October 8th, 2018, 11:37 am

B2c3-j/s23
x = 49, y = 75, rule = B2c3-j/S23
7$10bo$10bo$10bo$10bo$9bobo$9bobo$10bo6$8b2o$8bobo$10bobo17bobo$11b2o
16b2ob2o$30bo2bo6$10bo$9b3o$8bo2bo$7b2o$8b2o6$22bobo2$10bo9bo$9b3o7b3o
$8bo2bo6bo2bo$8b2o8b2o3$26bo$30bobo5b2o$11bo12b3o2bo2bo5bo$29bo2bo5b2o
$10bobo16b3o5b2o$9b2ob2o$10bobo2$11bo5$10b2o$9bo3bo$8bo4bo$9bo3bo$8bo
3bo$10bo$10bo!

Edit: New natural c/15
x = 9, y = 8, rule = B2c3-j/S23
2bo$bo$o2bo$2bobo3bo$4bo3bo$2bo2bo2bo$4b2o$5b2o!
Last edited by Sarp on October 9th, 2018, 12:58 am, edited 1 time in total.
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Re: Rules 2 transitions from Life

Postby A for awesome » October 8th, 2018, 5:48 pm

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

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Re: Rules 2 transitions from Life

Postby danny » October 12th, 2018, 5:11 pm

This rule has a 2g MWSS synth, inspired by Entity Valkyrie's profile picture:
x = 7, y = 3, rule = B3-q4a/S23
bo4bo$2bob2o$3o2b2o!
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Re: Rules 2 transitions from Life

Postby KittyTac » October 12th, 2018, 10:00 pm

B37/S23 and B3/S237 are both explosive, B37/S23 being slightly more so.
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Re: Rules 2 transitions from Life

Postby Hdjensofjfnen » October 12th, 2018, 11:19 pm

This p11 was a surprise:
x = 5, y = 9, rule = B3-j/S023
2o$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/S023
bo$bo$2o2$o!


EDIT: Unrelated rule, a p100 I have mentioned as well:
x = 6, y = 7, rule = B3-r/S234z
2bo$b3o$o2bo$b2o2$4b2o$4b2o!
Life is hard. Deal with it.
This is my new favorite spaceship:
x = 8, y = 4, rule = B3-ek/S023
bobo$2obo3bo$bobo$3bo!
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Re: Rules 2 transitions from Life

Postby 77topaz » December 29th, 2018, 5:20 am

B3/S23-n4w has a natural puffer from a failed replicator:
x = 5, y = 4, rule = B3/S23-n4w
2bo$bobo$o3bo$b3o!


A more complicated variant:
x = 15, y = 70, rule = B3/S23-n4w
5b2ob2o$5b2ob2o2$5b2ob2o$5b2ob2o41$6b3o$6bobo$6bobo3$3bo3bo3bo$2bo3bob
o3bo$3bo3bo3bo2$5bo3bo2$b3o7b3o4$b2o9b2o$b2o2b2ob2o2b2o$o4b2ob2o4bo$b
2o2b2ob2o2b2o$b2o9b2o3$5b2ob2o$5b2ob2o$7bo!
Last edited by 77topaz on December 29th, 2018, 6:33 am, edited 2 times in total.
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Re: Rules 2 transitions from Life

Postby danny » December 29th, 2018, 5:43 am

p136 shuttle in that rule:
x = 51, y = 17, rule = B3/S23-n4w
18bo18bo$17b3o16b3o$35bo$16b2ob2o17b2o$2bo14b3o28bo$bobo14bo28bobo$bob
o9bo3bobo3bo23bobo$2ob2o6bobo9bobo20b2ob2o$10b2o13b2o$2ob2o6bobo9bobo
20b2ob2o$bobo9bo3bobo3bo23bobo$bobo14bo28bobo$2bo14b3o28bo$16b2ob2o17b
2o$35bo$17b3o16b3o$18bo18bo!

EDIT: 3c/7:
x = 7, y = 4, rule = B3/S23-n4w
o5bo$b2ob2o$b2ob2o$3bo!


EDIT2: Fuse:
x = 156, y = 13, rule = B3/S23-n4w
23bo$19bobo2b2o$19bobo$20b2o$2o18bo2bo6bo39b2o26b2o26b2o26b2o$2o19b3o
5bobo38b2o26b2o26b2o26b2o$29bo2bo$2o19b3o5bobo38b2o26b2o26b2o26b2o$2o
18bo2bo6bo39b2o26b2o26b2o26b2o$20b2o$19bobo$19bobo2b2o$23bo!

Fuse2:
x = 240, y = 11, rule = B3/S23-n4w
52b2o9b2o54b2o15b2o2$44bo7bo11bo7bo47bo15bo$2o41b3o25b3o24b2o26b2ob2o
51b2o26b2o26b2o$2o40b5o23b5o23b2o26b2ob2o51b2o26b2o26b2o$41b2o3b2o21b
2o3b2o$2o40b5o23b5o23b2o26b2ob2o51b2o26b2o26b2o$2o41b3o25b3o24b2o26b2o
b2o51b2o26b2o26b2o$44bo7bo11bo7bo47bo15bo2$52b2o9b2o54b2o15b2o!

Reburnable fuse:
x = 21, y = 240, rule = B3/S23-n4w
8b2ob2o$8b2ob2o27$8b2ob2o$8b2ob2o27$8b2ob2o$8b2ob2o44$10bo$9bobo$8bo3b
o$8bo3bo$8bo3bo$9bobo$10bo$6bo7bo$5bobo5bobo$bob2ob3o3b3ob2obo$o2b2o2b
3ob3o2b2o2bo$bob2ob3o3b3ob2obo$5bobo5bobo$6bo7bo$10bo$9bobo$8bo3bo$8bo
3bo$8bo3bo$9bobo$10bo2$8b2ob2o$8b2ob2o2$8b2ob2o$8b2ob2o2$10bo$9bobo$8b
o3bo$8bo3bo$8bo3bo$9bobo$10bo$6bo7bo$5bobo5bobo$bob2ob3o3b3ob2obo$o2b
2o2b3ob3o2b2o2bo$bob2ob3o3b3ob2obo$5bobo5bobo$6bo7bo$10bo$9bobo$8bo3bo
$8bo3bo$8bo3bo$9bobo$10bo8$10bo$9bobo$8bo3bo$8bo3bo$8bo3bo$9bobo$10bo$
6bo7bo$5bobo5bobo$bob2ob3o3b3ob2obo$o2b2o2b3ob3o2b2o2bo$bob2ob3o3b3ob
2obo$5bobo5bobo$6bo7bo$10bo$9bobo$8bo3bo$8bo3bo$8bo3bo$9bobo$10bo2$8b
2ob2o$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...
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Re: Rules 2 transitions from Life

Postby 77topaz » December 29th, 2018, 6:31 am

Two copies of the failedrep seed make a 28c/68 repship:
x = 23, y = 27, rule = B3/S23-n4w
7bo2bobo2bo$7b3o3b3o$6bo9bo4$2bo5bo5bo5bo$bobo4bo5bo4bobo$o3bo13bo3bo$
bobo15bobo$2bo17bo4$3b2o13b2o$3b2o13b2o8$3b3o11b3o$2bo3bo9bo3bo$3bobo
11bobo$4bo13bo!


One cell further apart and you get another puffer variant:
x = 20, y = 4, rule = B3/S23-n4w
b3o12b3o$o3bo10bo3bo$bobo12bobo$2bo14bo!
Last edited by 77topaz on December 29th, 2018, 6:40 am, edited 1 time in total.
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Re: Rules 2 transitions from Life

Postby danny » December 29th, 2018, 6:35 am

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/S235a
bo$b2o$obo$bo!

Sadly, it's explosive.
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Re: Rules 2 transitions from Life

Postby LaundryPizza03 » January 6th, 2019, 1:04 am

p20 backrake in B2e3-a/S23:
x = 20, y = 23, rule = B2e3-a/S23
14b2o$13bo$14b3o2$14b2o$13bo$14b2o2$4b2o$3bo3bo2bo3bo$4b5obo2b2o2$4b5o
bobobo$3bo4bobobobo$4b2o10b4o$16bo2bo$b2o13b4o$o4bobobobo$b5obobobo2$b
5obo2b2o$o3bo2bo3bo$b2o!

Is a p40 rake possible?
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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Re: Rules 2 transitions from Life

Postby Hunting » January 6th, 2019, 1:34 am

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/S237e8
3o$obo$obo!
Almost c/2:
x = 19, y = 10, rule = LifeHistory
7.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 ]]
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Re: Rules 2 transitions from Life

Postby LaundryPizza03 » January 6th, 2019, 2:43 am

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/S237e8
3o$obo$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/S237e
3o$obo$obo!

(See generations 26, 30, 146. Stabilization time is 556.)
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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Re: Rules 2 transitions from Life

Postby Hunting » January 6th, 2019, 3:30 am

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/S237e8
3o$obo$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 = LifeHistory
7.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 ]]
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Re: Rules 2 transitions from Life

Postby Hunting » January 6th, 2019, 4:42 am

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/S237e8
3o$obo$obo!


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


WAIT! EVEN A 16x16 SOUP CAN EXPLODE!

x = 16, y = 16, rule = B3/S237e8
3obob2obobo$b3o3b3obo2b2o$4obo2bo3b3o$o2bob2ob3ob3o$o6bo3bo$o4b2o3bob
3o$2bo2b2o2b3o$obobo6b3o$2bob8o3bo$b2o2b3o2bo3bo$bob2o2bob2obob2o$o4b
3o3bob3o$b3o3bobo3b3o$2bobo3b2obo2b2o$o3bobo2b2o2b3o$2bo2b2ob3o3bo!
Almost c/2:
x = 19, y = 10, rule = LifeHistory
7.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 ]]
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