Thread For Your Accidental Discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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A for awesome
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Re: Thread For Your Accidental Discoveries

Post by A for awesome » February 5th, 2015, 9:58 am

4 t-nosed p6's hassle a R-pentomino:

Code: Select all

x = 40, y = 44, rule = B3/S23
19bo$19bo$18b3o2$18b3o2$14b2o2b3o2b2o$14bobo2bo2bobo$15bo7bo2$15bo7bo$
14bobo2bo2bobo$14b2o2b3o2b2o2$18b3o2$18b3o8b2o3b2o$4b2o3b2o8bo9bobobob
o$4bobobobo8bo11bobo$6bobo19bo2bobo2bo$3bo2bobo2bo13bo2bo2bobo2bo2bo$o
2bo2bobo2bo2bo5bo4b2o4bobo4b2o$2o4bobo4b2o3bobo4bo2bo2bobo2bo2bo$o2bo
2bobo2bo2bo3b3o7bo2bobo2bo$3bo2bobo2bo19bobo$6bobo11bo8bobobobo$4bobob
obo9bo8b2o3b2o$4b2o3b2o8b3o2$19b3o2$15b2o2b3o2b2o$15bobo2bo2bobo$16bo
7bo2$16bo7bo$15bobo2bo2bobo$15b2o2b3o2b2o2$19b3o2$19b3o$20bo$20bo!
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

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Re: Thread For Your Accidental Discoveries

Post by A for awesome » February 17th, 2015, 2:57 pm

A Hershel, several catalysts, and a sacrificial block make a temporary HWSS:

Code: Select all

x = 36, y = 44, rule = LifeHistory
7.2B$6.2B2C$5.3B2C2B$5.9B$5.8B4D6.C$5.7B6D3.3C$5.7B4DB2D.C$4.12B2D2.
2C$3.19B$3.17B$3.16B2C$4.15B2C$2.16B.B$2.2C2.12B$3.C4.9B$3C5.8B$C7.7B
$7.11B$7.12B$7.12B$8.11B$6.4B.4B3CB$6.2C4.4BC2B$7.C4.2B3C2B$4.3C6.6B$
4.C8.7B$15.B.4B$18.4B$19.4B$20.4B$21.4B$22.4B$23.4B$24.4B$25.4B$26.4B
$27.4B$28.4B$29.4B$30.4B$31.4B$32.4B$33.3B$34.B!
By replacing the block-and-eater combination with a sacrificial block, glider, etc., the HWSS can escape, but several catalysts are destroyed. It may or may not be possible to make a small stable H-HWSS out of this.
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

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Re: Thread For Your Accidental Discoveries

Post by Extrementhusiast » February 19th, 2015, 9:22 pm

Manual soup search, torus edition!

Generates an LWSS traveling along the finite (and short) y-axis:

Code: Select all

x = 100, y = 8, rule = B3/S23:T0,8
bo4b2o9bob3o3bo2bobob7o2b4ob5obobobo2bo3b4o2bo4bob2o3bobob2o4b2obob2ob
o$bo2bob2o2b2o2bob5obob3obo4bo3bo2bob3obo5b4ob6o2bo3bob4ob8o5b3obo2bob
2o$3b2obobo2b2o3b3ob2obob2ob8o4b2o3bo7bo2bo5b2ob4ob4o2bob4ob3ob3ob2o2b
2ob2o$bo2b2obo3b2obob2o5bo3bob2obo2bobobobobobo2b3ob2o3b5o3bo2b2obo3b
2o3b2ob2o6b3obobo$2bobob2obob3obobo2bo2bo2bo2bo2bob4o2b2ob4o4bo2bobob
3obob4ob2obo2bob2obo2b3o5b5o$b4ob7ob2o4bo4b2o3bo3b2ob4o2bo4bo2b2obob2o
bob4obo2b2o2bobo2b2o2bob2obob4o2bo2bo$ob5o2bob7o2b3obo3bob2obo3bo2b2ob
o2bob2o2b2o2b7o3b2o2bobobo2b4obo2bo3b2o2bobob2o$ob2ob3o5b2obo6b2o3b2ob
3obo2b2o3b2obob2ob3o2bob3ob4o6b2ob7ob3o4bob2ob3o!
Creates an infinitely long pseudo-still life composed of 24-bit strict still lifes:

Code: Select all

x = 100, y = 8, rule = B3/S23:T0,8
3obo2b2o2bo4bob2obobo2bo2bo2bob2o2bob2ob2o2bo3b3o3bo3bob3ob3obo2bo3b2o
b2o2bob2ob2ob4o2bo$4b3ob2ob3o4bob3o3bobobo2bobobobob3ob2o2b7ob2o5b3ob
3o3bo4bo4b2ob2obob5ob2o$b2ob2obo2b2ob4ob2obob2ob4obo6b2obobo5bob4obo3b
7o6b2o2b3o3bo2bo4b2obo2bo$b3obobo3bobo2bobob2o2b2ob2o2b4ob3ob2obo4b3o
2bo2bo2bo3bo2b5ob3o4bo2b2obobobo2b3o2b2o$2b2obo10b3o2bo4b2o2bo2bob2obo
2b2ob2ob2ob2ob4o2bob2obo7b2ob5ob4obobo2bo3b3o$5ob2o3b2o3b2ob2obo2bo3b
2ob9o2b2ob2obo2bo3bob5o3bob4o2b3o4bo3bo2bob3obo2bo$b2o2bob3o3bobo2b2o
3b2ob6o2bob2o3bo3b2o7b2obob6o2b3o2b3o7bo3b3o2b2o3b2o$2b2obo2bo2b2o3b3o
2b2obo2b3ob2o2b4obo4b3obobob2o4bo3b3obobobo2b5ob3obob3o3b4obo!
Makes a carrier via a relatively simple reaction:

Code: Select all

x = 100, y = 8, rule = B3/S23:T0,8
3b7obo2bob4ob2o2bobo3bob9ob2ob2obo3bobobo4bo2b2obo2bobob4o2bo4b2obobob
5o$4bobobo3bo2bobob4ob2o2b2ob3o2bob4ob2o4b3o2b2obo4bob3ob3o4b4ob2obo2b
o4b2o2bo3bo$obob5ob2o2bob2o2bo4b2o2b3obobo2bo3b3o5bobo2bo4bob2o2bo4bo
2b2ob5o2b3o2b4ob5o$2bobob2o3b2o2b4o4bob2o3bob2o2b2o5bo2b2o2b3o5bo5b3ob
5o2b3o2bo2b2o3bobo7bo$2o2b3obobo2b2ob4obob4o2b2ob5o2bobo4b2ob12ob3ob2o
2bo2bo2b5obo4bobob2o4bobo$2ob2o4bo2b3obobo4b4o5bo4b3obo4b8ob2obo4bob3o
2b2o2bobobob2o2bob4o2b2o$2o2bobobo4bobo3bob3o2bob3o2bobob2ob2ob2ob2o3b
6ob2o5bob5o2bobo7bo3b2ob4ob4o$obobo2bobob3ob4obo2b3o2b2ob3o2bo2bo6bobo
bo2bo2bobob2o3bob2o6b8ob3ob2ob3o!
I Like My Heisenburps! (and others)

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Scorbie
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Re: Thread For Your Accidental Discoveries

Post by Scorbie » February 19th, 2015, 11:11 pm

Extrementhusiast wrote:Manual soup search, torus edition!
Hmm, why not try randomagar?
Best wishes to you, Scorbie

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Kazyan
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Re: Thread For Your Accidental Discoveries

Post by Kazyan » February 20th, 2015, 10:38 pm

Broadly-applicable transparent block thing. Spark to beehive.

Code: Select all

x = 14, y = 8, rule = B3/S23
7bo$7bo4b2o$6bo5b2o2$2b2o3b2o$bobo3b2o$bo$2o!
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Re: Thread For Your Accidental Discoveries

Post by Extrementhusiast » February 21st, 2015, 2:10 am

Scorbie wrote:
Extrementhusiast wrote:Manual soup search, torus edition!
Hmm, why not try randomagar?
Because I was looking for ways to synthesize waves, hence why they're here.
I Like My Heisenburps! (and others)

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Kazyan
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Re: Thread For Your Accidental Discoveries

Post by Kazyan » February 21st, 2015, 2:53 am

Cheap slow-salvo MWSS.

Code: Select all

x = 19, y = 15, rule = B3/S23
7b2o$7b2o2$bo$obo$obo$bo6$17bo$10b2o4b2o$10b2o4bobo!
Tanner Jacobi

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Scorbie
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Re: Thread For Your Accidental Discoveries

Post by Scorbie » February 21st, 2015, 11:00 am

Extrementhusiast wrote:
Scorbie wrote:
Extrementhusiast wrote:Manual soup search, torus edition!
Hmm, why not try randomagar?
Because I was looking for ways to synthesize waves, hence why they're here.
If you meant waves as waves of *WSSs, a randomagar search might help you find what you are looking for.
Best wishes to you, Scorbie

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Re: Thread For Your Accidental Discoveries

Post by A for awesome » March 5th, 2015, 4:53 pm

A slow salvo of LWSSs can move a blinker anywhere:

Code: Select all

x = 56, y = 21, rule = B3/S23
6$7b2o$6bo2bo$7b2o27b3o$21b3o24b3o4$2b3o12b3o12b3o13b3o$2bo2bo11bo2bo
11bo2bo12bo2bo$2bo14bo14bo15bo$2bo14bo14bo15bo$3bobo12bobo12bobo13bobo
!
Also, a new p6 that I haven't seen before:

Code: Select all

x = 14, y = 14, rule = B3/S23
2o$obo$2bo$2b2o$5bobo$2b2o4bo$bo2bo3bo$b2o4bo2$8b2o$8bobo$6bobob3o$6b
2o5bo$12b2o!
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

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Re: Thread For Your Accidental Discoveries

Post by codeholic » March 5th, 2015, 5:48 pm

This is a variant of 30P6.2.
Ivan Fomichev

Bullet51
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Re: Thread For Your Accidental Discoveries

Post by Bullet51 » March 6th, 2015, 12:14 am

A p4 oscillator:

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bo2bobo2bo$4bobobobo$5bo3bo!
Still drifting.

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Re: Thread For Your Accidental Discoveries

Post by unname66609 » March 6th, 2015, 10:22 am

Bullet51 wrote:A p4 oscillator:

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bo2bobo2bo$4bobobobo$5bo3bo!
true.

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Re: Thread For Your Accidental Discoveries

Post by Kazyan » March 11th, 2015, 4:06 pm

One of the p12 oscillators in the DRH collection uses caterers for hassling, but it turns out that eater 2s will do just as well.

Code: Select all

x = 35, y = 23, rule = B3/S23
8b3o$9b2o$8b2o16b2o$9bo16bo2bobo$5b2o21b2ob3o$6bob2o24bo$8bo19b2ob3o$
8bo19b2obo3$2o3b2o13b2o3b2o$2o2bo2bob2o9b2o2bo2bob2o$4bobo2b2o13bobo2b
2o$5bo19bo2$2bo16bob2o$2bo14b3ob2o$b2obo11bo$4b2o11b3ob2o$bo17bobo2bo$
b2o20b2o$2o$3o!
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Re: Thread For Your Accidental Discoveries

Post by Sokwe » March 11th, 2015, 5:42 pm

Kazyan wrote:One of the p12 oscillators in the DRH collection uses caterers for hassling, but it turns out that eater 2s will do just as well.
That's a nice trick! It also works to replace the mazings in a variant of gourmet (although it doesn't improve the cell count or bounding box):

Code: Select all

x = 32, y = 32, rule = B3/S23
17b2o$17bo2b2o$18b2ob3o$13b2o9bo$13b2o3b2ob3o$18b2obo2$14b2o$2b3o8bo2b
o$2b3o8bobo$3o2b2o3bo3bo4b3o$5b2o3bo$4b3o3bo12bo$4bo9b3o5bobo2b2o$4bo
9bo7bo2bob2o$8bo5b3o6b2o$7bobo$3b2o2bo2bo16bo$3b2o3b2o17bo$21bo3b3o$
21bo3b2o$10b3o4bo3bo3b2o2b3o$16bobo8b3o$15bo2bo8b3o$16b2o$10b3o$10b3o$
8b2o2b3o2b2o$8b2o7b2o$8b3o$10bo$10bo!
Edit: unlike the mazing version, this can be combined with the standard gourmet supports:

Code: Select all

x = 26, y = 26, rule = B3/S23
15bo$15bo$15b3o$7b2o7b2o$7b2o2b3o2b2o$13b3o$13b3o$8b2o$7bo2bo$7bobo$4b
o3bo4b3o$4bo$4bo$16b2o3b2o$o14bo2bo2b2o$3o13bobo$3bo5b3o5bo$2bobo6bo
12b2o$2b2o5b3o8b2obobo$20b2obo$2b2o20bo$2bo8bo8b2ob2o$3bo6bobobob2o3bo
bo$2b2o5bob2ob2obo3bobo$9bo12bo$8b2o!
-Matthias Merzenich

xyzz
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Re: Thread For Your Accidental Discoveries

Post by xyzz » March 11th, 2015, 6:13 pm

Not sure if its been found before, but in rule = B2, you can create Sierpinski triangles by colliding small spaceships. Forgive me as I'm still pretty new to this.

Code: Select all

#CXRLE Pos=-5,-4
x = 309, y = 4, rule = B2/S
o7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11b
o7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo$2bo3bo15bo3bo15bo3bo15bo3bo15b
o3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15b
o3bo15bo3bo$2bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15b
o3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo$o7bo11bo7bo11bo
7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo7bo11bo
7bo11bo7bo11bo7bo11bo7bo!

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Scorbie
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Re: Thread For Your Accidental Discoveries

Post by Scorbie » March 11th, 2015, 6:14 pm

Wow. That's not a typical catalysis of the eater2! How did you find it?
Best wishes to you, Scorbie

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Re: Thread For Your Accidental Discoveries

Post by Kazyan » March 11th, 2015, 6:50 pm

xyzz wrote:Not sure if its been found before, but in rule = B2, you can create Sierpinski triangles by colliding small spaceships. Forgive me as I'm still pretty new to this.
Discoveries for rules besides Conway's Game of Life goes in the Other Cellular Automata subforum. Welcome aboard!
Scorbie wrote:Wow. That's not a typical catalysis of the eater2! How did you find it?
I was trying to Bellman-ize a Herschel receiver's smoke so that it would delete the prominent beehive, yielding a direct G-to-H. It didn't work (max-active and repair-interval set to 9), but there's a loaf at the edge of the smoke that sits there for a while during the reaction, and Bellman did its thing.
Tanner Jacobi

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Kazyan
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Re: Thread For Your Accidental Discoveries

Post by Kazyan » March 19th, 2015, 8:26 am

At some point, Gustavo wondered if a mango could be a catalyst. Apparently it can, if you attach a tail.

Code: Select all

x = 28, y = 16, rule = B3/S23
3b2o$3bo2bo7bobo$4b3o7b2o$15bo$2obob2o$ob2obo8b2o$5bo8b2o$5b2o$21b2obo
$21b2ob3o$15b2o10bo$14bo2bo3b2ob3o$15bo2bo3bobo$16b2obo2bobo$19bo3bo$
19b2o!
Tanner Jacobi

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calcyman
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Re: Thread For Your Accidental Discoveries

Post by calcyman » March 19th, 2015, 9:01 am

Kazyan wrote:At some point, Gustavo wondered if a mango could be a catalyst. Apparently it can, if you attach a tail.

Code: Select all

x = 28, y = 16, rule = B3/S23
3b2o$3bo2bo7bobo$4b3o7b2o$15bo$2obob2o$ob2obo8b2o$5bo8b2o$5b2o$21b2obo
$21b2ob3o$15b2o10bo$14bo2bo3b2ob3o$15bo2bo3bobo$16b2obo2bobo$19bo3bo$
19b2o!
I hope that Gustavo secretly knew about this catalysis all along...

Anyway, Bill Gosper found this interaction between two arks which eventually (530K gens) stabilises to form a crystallisation-and-decay. Rather than being bounded by an eater, it is bounded by a perpendicular glider stream originating from a 'bounce' reaction:

Code: Select all

x = 138, y = 16, rule = B3/S23
11bobo110bobo$10bo116bo$11bo2bo108bo2bo$13b3o106b3o7$bo134bo$obo132bob
o2$o2bo130bo2bo$2b2o130b2o$3bo130bo!
What do you do with ill crystallographers? Take them to the mono-clinic!

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Re: Thread For Your Accidental Discoveries

Post by Kiran » April 8th, 2015, 10:24 pm

Code: Select all

x = 8, y = 6, rule = B3/S23
4b2o$3bo2bo$bo2b2obo$ob2o2bo$bo2bo$2b2o!
Probably known still life.
Kiran Linsuain

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Re: Thread For Your Accidental Discoveries

Post by codeholic » April 9th, 2015, 6:28 pm

Kiran wrote:Probably known still life.
All still-lifes up to 24 cells are enumerated. Large still-lifes are not considered particularly interesting because of their abundancy, unless they've got special properties (such as catalysts).
Ivan Fomichev

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Re: Thread For Your Accidental Discoveries

Post by BlinkerSpawn » April 11th, 2015, 9:19 pm

Kazyan wrote:At some point, Gustavo wondered if a mango could be a catalyst. Apparently it can, if you attach a tail.

Code: Select all

{code}
Is this an improvement?

Code: Select all

x = 31, y = 32, rule = LifeHistory
8.2A$8.2A13$29.2A$29.2A$3.2A$3.A2.A7.A.A$4.3A7.2A$15.A$2A.A.2A$A.2A.A
8.2A$5.A8.2A$5.2A$21.2A.A$21.2A.3A$15.2A10.A$14.A2.A3.2A.3A$15.A2.A3.
A.A$16.2A.A2.A.A$19.A3.A$19.2A!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

hought99
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possible component for c/5 spaceship

Post by hought99 » April 14th, 2015, 9:32 pm

Code: Select all

x = 14, y = 14, rule = B3/S23
$6b2o$6b2o3$3b3o2$2bo2bo$2b3o2$5b2o$6bo!

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gameoflifeboy
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Re: Thread For Your Accidental Discoveries

Post by gameoflifeboy » April 15th, 2015, 9:12 pm

P41 agar:

Code: Select all

x = 17, y = 153, rule = B3/S23:T17,153
bo10bo$b2o8b2o$bo10bo7$2bo10bo$2b2o8b2o$2bo10bo7$3bo10bo$3b2o8b2o$3bo
10bo7$4bo10bo$4b2o8b2o$4bo10bo7$5bo10bo$5b2o8b2o$5bo10bo7$o5bo$o5b2o8b
o$o5bo7$bo5bo$2o5b2o$bo5bo7$2bo5bo$b2o5b2o$2bo5bo7$3bo5bo$2b2o5b2o$3bo
5bo7$4bo5bo$3b2o5b2o$4bo5bo7$5bo5bo$4b2o5b2o$5bo5bo7$6bo5bo$5b2o5b2o$
6bo5bo7$7bo5bo$6b2o5b2o$7bo5bo7$8bo5bo$7b2o5b2o$8bo5bo7$9bo5bo$8b2o5b
2o$9bo5bo7$10bo5bo$o8b2o5bo$10bo5bo7$o10bo$2o8b2o$o10bo!
Probably can't be made into an oscillator.

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Scorbie
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Re: Thread For Your Accidental Discoveries

Post by Scorbie » April 16th, 2015, 7:32 am

Almost useless:

Code: Select all

x = 12, y = 9, rule = B3/S23
6bo$6bo$6bo2$9b3o$b2o6bo$o2bo6bo$b2o!
Best wishes to you, Scorbie

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