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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.
My favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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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!
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!
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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.
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!
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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!
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!
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Re: Rules 2 transitions from Life

Postby Hunting » January 31st, 2019, 2:54 am

B2n3-q/S23.
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!
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Re: Rules 2 transitions from Life

Postby Hdjensofjfnen » January 31st, 2019, 8:55 pm

The home of the most useless oscillator you will ever see:
x = 6, y = 6, rule = B2n3/S23-y
4b2o$5bo$bo$o$o2bo$b2o!
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Rules 2 transitions from Life

Postby 77topaz » February 12th, 2019, 9:06 pm

Natural puffer in B34j5k/S23:
x = 63, y = 14, rule = B34j5k/S23
22bo$20b2ob2o$20b2ob2o$33b2o$2bo18bobo8bo2bo9b2o14b2o$b2o4b2o5bo4b4o
10b2o10b2o14b2o$2o5b3o3bobo2bobo$bobo5bo3bo2bo8b2o23bo$2b2o3b3o3bobo2b
3o2b2o2bo19bob2o$8bo3b2o9b3ob2o16bo5bo$12b2o7b3o2b2o6bo11bo3bo$20bo3b
3o6bobo5bobo3b3o$20bo3b2o7bobo12bo$21b3o10bo6bobo!


(As a side note, the same pattern run in just B34j/S23 produces a MMS breeder.)

EDIT: Another, messier puffer:
x = 23, y = 99, rule = B34j5k/S23
9b3o$9bo2bo$8bo2b2o$8b2o4$7b2ob2o$7bo$7b2ob2o$9bo2$5bo2bo$9bo$9bo$5b2o
b2o$7bo4$8bo$6b2ob2o$9bobo$9b2ob2o$8b3o3bo$7b2o2b2o$11bo3bo$9bo2bo2bo$
14bo$13bo$11b3o8$6b2o$6b2o4b2o$3bo7bobo$3bo2b2o4bo$6bo3$6bo$bo4bo$bo$o
4bo$2ob2o3$19bo$18bobo$18bobo$19bo$15bo$15bo$15bobo$15b3o2$13b2obo$5b
3o5b2ob2o2$3bo5bo$3bo5bo$3bo5bo2$5b3o8b2o$13bo2bo$13bo2bo$12b4o$13b4o
2b2o$14b2o2bo2bo$19b2o5$4bo$4bo$4bo2$6b3o13$20b2o$19bo2bo$20b2o!


And a symmetrical one:
x = 33, y = 24, rule = B34j5k/S23
2b2o$2b2o6b3o$9b4o$bo7bo2bo2b2o$2o21bo$5b2o14b2obo4bo$o15bo7bo3bob2o$
6o9b4o9bo3bo$2b4o9bo7bo4b2o2bo$5bo8bob3o9b2ob2o$9bo7bo2bo8b2o$8bobob3o
4b3o$8bobob3o4b3o$9bo7bo2bo8b2o$5bo8bob3o9b2ob2o$2b4o9bo7bo4b2o2bo$6o
9b4o9bo3bo$o15bo7bo3bob2o$5b2o14b2obo4bo$2o21bo$bo7bo2bo2b2o$9b4o$2b2o
6b3o$2b2o!


EDIT 2: A specific combination of the two basic blockpuffers gives a bonus beehive:
x = 41, y = 98, rule = B34j5k/S23
23b2o$6b2o15b2o$6b2o2$24bo$23bobo$23bobo$7bobo14bo$4bo3bo3bo2$4bo3bo3b
o$6bobo$7b5o$7b2obo2$28b6o2bo2bo$12b2o9b2o2bo6b3o3bo$6b2ob2ob2o9b2o2bo
7b2o$7b6o15b3ob2o$8b4o22b2obo$24bo10b5o$23bobo10b3o$23bobo$11b3o10bo$
10b2o2bo$8b2o4bo$8b2ob2o2bo$8bo3b4o$9bobo2b2o$10bo2$32b3o$20b3o7b2ob2o
$19bo2bo6bo2bo2bo$19bo9bo2b3o$20b2o8b5o$24bo$6b3o14bobo$6bobo14bobo$6b
o2bo14bo$8b2o6$25bo$24b3o$24b2obo$8bo7b2o9b2o$7bo7bo2bo7b2o$10b3ob2o2b
o$11bob2ob2o$9bo4bo8b2o$7b2obo$6bo6bo12b2o$2o4b2obobo14b3o$2o3bo5bo10b
o4bobo$5bob4o13b2o2b2o$6b4o10bo$7b2o11bo$18bo2bo$2bo2bo11bo2b2o$5bo9b
2o3b2o$15b2obob4o$2bo12bo2bo2bob2o$7bo8bo4b3o$4bo11bo2bo2bo$5bo13b2o$
7bo10bo$19b2o4$6bo$6b3o$6bo2bo8bob2o$8b2o7b2o3bo$15bo5b2o$15bobo3b2o$
15b3o2b3o$5b3o11bob2o$4b2o2bo10bo2b2o$2b2obo14bo$2b2obo$3bo4bo$3bo2bo$
4b3o$18b3o$17b2ob2o$17b2obo4$19b2o$16b2o2bo$17b3o$18bo!


The puffers can also crawl on each other's trails:
x = 38, y = 276, rule = B34j5k/S23
11b3o$11bo2bo$9bo4bo$12bob2o$12bob2o$9bo2b2o$10b3o4$8b2o$7bo$7bo3bo$8b
o3bo$8b3o$9bo4bo$8b2o5bo$9b2obobo$10b4o$11bo7$14bo$6b2o5bobo$5bo2bo4bo
bo$6b2o6bo3$15bo$15bo$7b2o$6b2obo$bobo3bob2o$o2bo3bob2o$o2bo3bo2bo$b2o
5bob2o$10bobo$10bo3bo$10bo3bo$11bo2b2o$14b2o$14bo10$13b2o$13b2o15$13b
2o$13b2o15$13b2o$13b2o15$13b2o$13b2o14$19b3o$13b2o3bo2bo$13b2o3b2o2bo$
21b2o4$19b2ob2o$23bo$19b2ob2o$21bo5$21bo2b2o$18bob2o$13b2o2bob2o4bo$
13b2ob2obo5bo$19b2o4bo$19b4obo$19b3obo10$18b3o$17bo3bo$16bo5bo$22bo$
17b3o2bo$19b2o2$21b3o$20bo3bo$20bo3bo$20bo3bo$21b3o5$23b2o$23bobo$23b
3o$17b2o6b2o$17bobo2bob2o$17b3o3b2o$18b2o3bo2$25bo$18b3o4bo$19bo5bo8$
27b2o$25bobobo$25b3obo$25b4o2$22b2o$21b2obo$24bo$23b3o8$28b2o$25bo2b2o
$21b2o2bo$20bo5bo$19b2o2bobo$20b2o3bo$21b3o10$25b3o$24b2obo$22b2obo$
25bobo$20b2obobo2bo$21bo$21bo4bo$22b2o2bo$27b3o5$21b3ob2o$18b2ob6o$18b
2o3b2o4b3o$24b2o2bo3bo$28bo3bo$20b4o4bo3bo$20b4o5b3o$22bo5$24b3o$24bob
o$18bobo9bobo$18b2o11b2o3$24bobo$24b3o7$35bo$32b5o$34bo2bo$35b2o$34b2o
$33bo7$30b2o$30b2o7$18b2o11b2o$18b2o11b2o!


EDIT 3: A natural MMS breeder (sufficiently rare that, while it slows apgsearch down, it does not make the rule unapgsearchable):
x = 16, y = 16, rule = B34j5k/S23
7obobobobo$6bob2o2b2o$obo2b2obob4o$3b4o2b5o$ob2o3b5o2bo$2o2b3o2bobo$3b
o2b4obobo$2b2o2bob2o2b3o$b3o2b2o5bobo$o3bo7bo$bo2bob5o2bobo$4bo2bobo2b
4o$bo3bob5ob3o$ob5o2bo3b2o$b8obo3b2o$o4b4obo3bo!


Also, several other distinct natural, high-period puffers:

x = 29, y = 111, rule = B34j5k/S23
14b2ob2o$13bobob2o$14bo4$14bo$13bobo$14b2o$3b2o$3b2o5bo$9bobo8b2o$9bob
o8b2o$10bo$3bo12bo$3bo11bobo$3bo11bobo$16bo8$24b2o$23bo2bo$24b2o8$15b
3o$15b3o$14bo3bo$9bo4b2ob2o$8bobo$8bobo$9bo14b2o$23bo2bo$24b2o$4b3o8b
2o$4b3o7bobo$2b2o9b2o2bo2bo5b2o$2b2o10b2o5bo3bo2bo$2b2o11bo4bo5b2o$10b
2o4b4o$10b2o5bo$10b2o$7b3o$7b3o4bo$14bo$14bo2$10b3o3b3o2$14bo$14bo$14b
o$2b2o$2b2o4$10bo$2b3o4b3o$2bobo3b5o$2o2bo2b2o$o5b3o2b2o$3o5b4o$9b2o3$
5b2o$4b2o$5bo$2bob2obo$bo4bobo$6bobo$2bob2obo3$17b2o$17b2o$2o8b3o$2o8b
3o2$5bo12bo$4bobo11bo$4bobo4b2o5bo$5bo5b2o$11b3o$9b2obo$8bo3bo$8bo3bo$
9b3o4b2o$3b2o12b2o$3b3o10b3o$4bo12bo3$6b2o6b2o$5b2o2bo2bo2b2o$4b2o3bo
2bo3b2o$4b4obo2bob4o$5bo2b2o2b2o2bo$6b3o4b3o$7bo6bo!


x = 57, y = 216, rule = B34j5k/S23
4b3o28bo$35bo$35bo2$31b3o3b3o2$21b2o12bo$21bobo11bo$22bo12bo2$39b2o$
35bo3b2o$35bo$35bo2$31b3o3b3o$18b2o$17bo2bo14bo13b2o$18b2o15bo12bo2bo$
7bo2bo24bo13b2o$7bo2bo$3o7bo$9b2o24bo$4b2o3b2o12b2o9bobo$3bo4bobo12b2o
10bo$4b5obo$4b4ob3ob3o$6b2ob2o$7b3o$8bo2$26b3o2$24bo$24bo$24bo3$9bo$9b
o$9bo$4b3o2$8b2o18b2o$8b2o18b2o2$b2o$b2o$35bo$35bo$35bo2$4b2o25b3o3b3o
$3bo2bo$3bo2bo14b2o12bo$4b2o15bobo11bo$22bo12bo8$4b3o5$32b2o$32b2o5$9b
o44b2o$8bobo42bo2bo$9b2o43b2o$22b2o$22b2o2$35b2o9b2o$34bo2bo7bobo$12b
2o9bo11b2o3b2o4bo$4b2o6b2o9bo16b2o$3bo2bo16bo$3bo2bo$4b2o11bo$13b2obob
o$13b2obobo$17bo$28b2o$28b2o4$4b3o28bo$35bo$35bo2$31b3o3b3o2$21b2o12bo
$21bobo11bo$22bo12bo7$20b2o$20b2o4$4b2o$3bo2bo16bo2b2o$3bo2bo11bob2ob
2o$4b2o11bo3bo2bo18b3o$21bo2b2o16bo$17bo3bob2o7b2o7bo$20bo12bo7bo2b2o$
34b2o5b2o2b3o$35b2o8b3o$36b2o7b2o2$24b3o6bo$11b3o11b3o5b2o3b2o$10bo3bo
11bobo3b2o3b3o$10bo4bo11b2o3bo5b2o$11b2o2bo$13b2o3$30b2o$30b2o$2b2o$2b
o$13b3o12b2o$28b2o2$b2o$b2o$35bo$35bo$35bo2$4b2o25b3o3b3o$3bo2bo$3bo2b
o14b2o12bo$4b2o15bobo11bo$22bo12bo8$8bo$7b3o15b2o$7bo2bo13bo2bo$10b2o
13b2o$9b2o$23bo$21bo2bo$5b3o13bobo9bo$4bo3bo13b2o7bo2bo$4bo3bo21b2ob2o
$4bo3bo14b3o5bo$5b3o24b2o2$20b2o7bo$19b3o6bobo$15b2o2b2o7bo2bo$15b2o2b
ob2o$8b2o10bobo$8b3o8bo$2b2o4b3o9b2ob3o$b2o5b2o13bo2bo$2b3obob2o12b2o$
3b4o5bo11b3o$5bo4bo2bo$10bo2bo$10b2ob2o$9bobo12b3o$9b2ob2obo8bo2bo$9b
4o11bob2o$5b2o4b2o4b3o8b2o$5b2o6bo3b2obo6b3o$5b2o6bo4bob2obo4bo$12bo6b
ob2obo$22bobo$23bo3$23bo$23b3o$23bo2bo$25b2o$9b3o$10b2o$7bo2b2o$7b2o
13b3o$21b2o2bo$19b2obo$9b2o8b2obo$9bob2o7bo4bo$9bo3bo6bo2bo$10bo10b3o
3$9b2o2bo$9bo2bo$10b3o!


x = 47, y = 147, rule = B34j5k/S23
17b3o$17bo2bo7bo$16bo3bo6b3o$16b3o2bo4bo2b2o$17b4o5b3obo$29b2o3$21bo$
22bo7b2o$18bo2bo10bo$18bo2bo6b4o$19bo8b3o3$19b2ob2o$19b2o3bo6b3o$17bo
4bobo5b4o$15b3o5bo5b3o$27b2ob4o$21bo5bo2bo3bo$19b2o6bob3obo$19bo8b3o2b
o$29b3o$30b2o$17b2o$17b2o9bo$27bobo$21bo5bobo$20b3o5bo$19b2o2bo$18b2ob
3o$18bo2b2o2$21bo$20b2ob2o$21bob2o$21bo3bo$23b2o$20b2ob2o$21b2o$21bo$
21bo9$37b3o$35bobo$34bob2o$33bo2bo$33b2o$16bo17b2o$15bobo15bo$14bo3bo
12b2o5bo$15bobo8b3obo6b2ob2o3b2o$16bo9bo2b2o6bo4bo2b2o$27b3o10bobo2bo$
28bo12bo$15b3o$15b4o14b2o$15b5o12bobo$12b3o4bo12b2o$13b2ob3o11b3o2b2o$
14bo15b4o2b2o$30b2ob2obob2o$36bo$35b2ob2o$35b3o2$22bo$21bobo$20bo3bo$
20bo2bo4b2o$20b3o5b2o$7b3o10$4b2o$4b2o3$10b2o$9bo2bo$3o7b2o2$29bo5bo$
29bo5bo$3o26bo5bo$9b3o$9bo2bo18b3o$8bo3bo$8bo3bo9bo$8bobob2o7bobo10bo$
13bo6bo3bo9bo$20bo3bo9bo$8bo11bobo2bo$9bo15b2o3b3o3b3o$10bo9b2obob2o$
23b3o8bo$11b2o7b3obo9bo$11b3o20bo$4b3o5bo$5b2o4bo3$27bo$19b2o5bo2bo$
16b2ob2o$16bo2bo6bo3bo$15bo2bo11bo$16bobo10b2o$17bo7b3o$21bo$20b3obo2b
o$19b2obo3bo$18bo2bo$18bo19b2o$25bo3bo7bo2bo$19bo4bo3bobo7b2o$21b3o4bo
bo$29bo5$15bo$14bobo$14b2o5$20b3o$25b2o$25b2o!


EDIT 4: Six-cell (hexomino!) infinite growth:
x = 4, y = 3, rule = B34j5k/S23
3bo$4o$o!
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Re: Rules 2 transitions from Life

Postby 77topaz » February 13th, 2019, 10:27 pm

B3-r5q/S23 has, along with the glider and WSSes, a 3c/6 B-ship:
x = 3, y = 4, rule = B3-r5q/S23
b2o$2o$b2o$2bo!


It also has this nice natural p34 oscillator involving a honey farm and a tub:
x = 13, y = 5, rule = B3-r5q/S23
10bo$bo7bobo$obo6bo2bo$bo7bobo$10bo!


And a natural p58 that's somewhere in between twin bees and a tumbler:
x = 11, y = 3, rule = B3-r5q/S23
2o7b2o$o2bo3bo2bo$b3o3b3o!


EDIT: A 2c/18 diagonal:
x = 8, y = 8, rule = B3-r5q/S23
5bo$3b2ob2o$2bob4o$bo2bo$b3o$obo$b2o$b2o!


p18 consisting of two p9s hassling a block:
x = 3, y = 20, rule = B3-r5q/S23
o$o$o$o$o$o3$2o$2bo$2bo$2o3$o$o$o$o$o$o!


The p9s themselves resemble worker bee, but without the external stabilisation required.
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Re: Rules 2 transitions from Life

Postby 77topaz » February 14th, 2019, 4:52 am

B3/S234wz has a c/30 diagonal ship that evolves from the R-pentomino:
x = 3, y = 3, rule = B3/S234wz
2bo$3o$bo!


Two of them can slightly interact:
x = 17, y = 17, rule = B3/S234wz
14b2o$13b2obo$13b2obo$15bo10$b2o$3o$o2bo$b2o!


It also has B3/S234w's 2c/7 diagonal and common p9. Unfortunately, the rule is explosive (just barely, like DryLife). One thing I've noticed from looking at the explosions' ash, though, is that shillelaghs are unusually common in this rule.

(A non-explosive rule featuring the c/30 diagonal is B3/S23-cy4wz. B3/S2-c4wz is also stable, and adds a c/14 diagonal as well as preserving the 2c/7 diagonal.)

(EDIT: B3/S23-c4wz does preserve the spaceships, but not the TL-based p9.)
Last edited by 77topaz on February 14th, 2019, 7:28 pm, edited 1 time in total.
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Re: Rules 2 transitions from Life

Postby Hunting » February 14th, 2019, 12:35 pm

Hdjensofjfnen wrote:The home of the most useless oscillator you will ever see:
x = 6, y = 6, rule = B2n3/S23-y
4b2o$5bo$bo$o$o2bo$b2o!

At least it shows the catalysish of the block and the loaf.
Plz correct my grammar mistakes. I'm still studying English.

Working on:

* Rule Y Orthogonoid

Favorite gun ever:
#C Favorite Gun. Found by me.
x = 4, y = 6, rule = B2e3i4at/S1c23cijn4a
o2bo$4o3$4o$o2bo!
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Location: Universe

Re: Rules 2 transitions from Life

Postby Hdjensofjfnen » February 14th, 2019, 5:29 pm

77topaz wrote:B3/S234wz has a c/30 diagonal ship that evolves from the R-pentomino:
x = 3, y = 3, rule = B3/S234wz
2bo$3o$bo!


Two of them can slightly interact:
x = 17, y = 17, rule = B3/S234wz
14b2o$13b2obo$13b2obo$15bo10$b2o$3o$o2bo$b2o!


It also has B3/S234w's 2c/7 diagonal and common p9. Unfortunately, the rule is explosive (just barely, like DryLife). One thing I've noticed from looking at the explosions' ash, though, is that shillelaghs are unusually common in this rule.

(A non-explosive rule featuring the c/30 diagonal is B3/S23-cy4wz. B3/S2-c4wz is also stable, and adds a c/14 diagonal as well as preserving the p9 and 2c/7 diagonal.)

I posted that c/30 diagonal in "Rules 1 transition from Life" a long time ago.
Life is hard. Deal with it.
My favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Rules 2 transitions from Life

Postby 77topaz » February 14th, 2019, 7:04 pm

Hdjensofjfnen wrote:I posted that c/30 diagonal in "Rules 1 transition from Life" a long time ago.


I think you must be mistaken, because the ship requires both S4w and S4z to work:
x = 7, y = 6, rule = B3/S234wz
3bo$2o3bo$o2bob2o$2obobo$2b3o$3bo!


x = 7, y = 6, rule = B3/S234w
3bo$2o3bo$o2bob2o$2obobo$2b3o$3bo!


x = 7, y = 6, rule = B3/S234z
3bo$2o3bo$o2bob2o$2obobo$2b3o$3bo!
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