Thread For Your Accidental Discoveries

[Extrementhusiast]

Makes three boats and nothing else:

Code: Select all

x = 5, y = 4, rule = B3/S23
2b2o$bob2o$2o$b2o!

Try to find the eater hidden in this:

Code: Select all

x = 4, y = 5, rule = B3/S23
2bo$b2o$o2bo$obo$3o!

Makes two pi heptominoes, one of which eventually turns into two gliders:

Code: Select all

x = 4, y = 6, rule = B3/S23
b2o$b3o$o2bo$ob2o$obo$bo!

Makes an eater, among a blinker:

Code: Select all

x = 10, y = 11, rule = B3/S23
7b2o$2bo4bobo$b2o6bo$o2bo$2o4bo2bo$bo5b3o$bobo$2bo$3b4o2$5b2o!

[Mats]

Makes three boats and nothing else:

Code: Select all

x = 5, y = 4, rule = B3/S23
2b2o$bob2o$2o$b2o!

An 8-cell father:

Code: Select all

x = 5, y = 4, rule = B3/S23
3o$o3bo$bobo$2bo!

Four boats and nothing else from eight cells:

Code: Select all

x = 7, y = 5, rule = B3/S23
4o$3bo$4bo$5bo$6bo!

Makes two pi heptominoes, one of which eventually turns into two gliders:

Code: Select all

x = 4, y = 6, rule = B3/S23
b2o$b3o$o2bo$ob2o$obo$bo!

A 9-cell grandfather:

Code: Select all

x = 5, y = 4, rule = B3/S23
obo$o2bo$obobo$bo2bo!

[137ben]

A herschel, block, and fishhook react to form a single beehive:

Code: Select all

x = 35, y = 23, rule = B3/S23
8b2o$9bo13b2o8b2o$9bobo11b2o8bo$10b2o19bobo$31b2o6$10bo$10bobo$10b3o$
12bo6$2b2o$3bo8b2o$3o9b2o$o!

Replacing the eater with a block yields the exact same results:

Code: Select all

x = 38, y = 25, rule = B3/S23
2$10b2o$11bo13b2o$11bobo11b2o$12b2o19b2o$33b2o6$12bo$12bobo$12b3o$14bo
6$4b2o$5bo8b2o$2b3o9b2o$2bo!

[Lewis]

The centre of this pattern (the part that resembles an Octagon II) re-appears every 4 generations, this happens 3 times here. Can this be turned into a p4 oscillator, and if so, is the oscillator already known?

Code: Select all

x = 46, y = 25, rule = 23/3
11b3o$10bo3bo2$8bo7bo$7bo4bo4bo$7bo3bobo3bo$7bo4bo4bo$4b3obo7b
ob3o$3bo3bo9bo3bo$10bo3bo$bo7bob3obo7bo$o4bo4bo3bo4bo4bo$o3bo
bo3bo3bo3bobo3bo$o4bo4bo3bo4bo4bo$bo7bob3obo7bo$10bo3bo$3bo3b
o9bo3bo$4b3obo7bob3o$7bo4bo4bo$7bo3bobo3bo$7bo4bo4bo$8bo7bo$45b
o$10bo3bo$11b3o!

[Sokwe]

There are certainly period-4 oscillators that are based on Octagon II:

Code: Select all

x = 92, y = 22, rule = B3/S23
77bo7bo$4bo8bo63b2o5b2o$4b3o4b3o22b3o19b2o17b2o5b2o$7bo2bo26bo20b2o18b
o5bo$6b2o2b2o16b2o$2o16b2o9bo6b3o18b4o18b5o$bo6b2o8bo10bobo3bo3bo4b3o
9bo4bo16bo5bo4b3o$bobo3bo2bo5bobo11b2o2bo5bo2b3o9bo6bo14bo7bo2b3o$2b2o
2bo4bo3bobo15bo7bo12bo8bo9bo2bo9bo$5bo6bob2o17bo7bo9b2obo8bob2o4bo2bob
o4bo4bo$5bo6bo20bo7bo9b2obo8bob2o4bo4bo3bobo3bo$2b2o2bo4bo5b2o11b2o2bo
5bo2b3o8bo8bo7bo2bobo4bo4bo$bobo3bo2bo6bo11bobo3bo3bo4b3o8bo6bo10bo2bo
9bo$bo6b2o8b3o8bo6b3o17bo4bo15bo7bo2b2o$2o18bo7b2o27b4o17bo5bo3bobo$6b
2o2b2o23bo3bo39b5o6bo$7bo2bo23bo5bo17b2o30b2o$4b3o4b3o20b7o17b2o20bo3b
2o$4bo8bo65b2o3bo$36b3o46b3o$36bo2bo47bo$38b2o!

This can be extended if still lifes are used to suppress the sparks:

Code: Select all

x = 29, y = 25, rule = B3/S23
5bo$b2obobo4b2obob2o$b2obobo4bob2ob2o3b2o$4bob2o13bo$b4o2bo$o4b18o$b3o
bo17bo$3b3o18bo$5bo19bo2bo$5bo3b2o2b2ob2o2b2o3bob2o$5bo3b2o2b2ob2o2b2o
3bo$b2o2bo19bo$b2o2bo3b2o9b2o3bo$5bo3b2o9b2o3bo$5bo19bo$5bo3b2o2b2ob2o
2b2o3bo$2b2obo3b2o2b2ob2o2b2o3bob2o$2bo2bo19bo2bo$6bo17bo$7bo15bo$8b
15o2$9bo11bo$8b2o3b2ob2o3b2o$13b2ob2o!

Here's a related period-24 oscillator by Nicolay Beluchenko with supporting components by Jason Summers and Karel Suhajda:

Code: Select all

x = 44, y = 55, rule = B3/S23
25b4o$20b2o7bo$20b2o2b2o3bo$24b2o2bo3$21bobo$21bobo$20bo3bo$21bobo2$
21b3o$21b3o9$7b2o12b3o$7b2o12b3o2$8bo12bobo$7bobo10bo3bo6b2o$6b2ob2o
10bobo7b2o$6bo2bo12bo$2o5b2o$2o19b2o$14bo5bo2bo11b2o$13b3o3bo4bo4b2o4b
o$5b2o5bo3bobo6bo2b2obo6bo$5bo6bob2o2bo6bobo3bo5b2o$8bo4b2o4bo4bo3b3o$
7b2o11bo2bo5bo$21b2o19b2o$35b2o5b2o$21bo12bo2bo$11b2o7bobo10b2ob2o$11b
2o6b2ob2o10bobo$20bo2bo11bo$21b2o5b2o$28b2o5b2o$15bo19b2o$14b3o$10b2ob
o3bo5b2o$10b2o2b2obo6bo$15b2o4bo$21b2o4$17b2o$17b2o!

[Extrementhusiast]

Interesting oblique wick that resembles another known and stabilized wick:

Code: Select all

x = 38, y = 21, rule = B3/S23
3bo$2o2b2o$2b2o3bo$2o2b2o2b2o$2bo3b2o3bo$4b2o2b2o2b2o$6bo3b2o3bo$8b2o
2b2o2b2o$10bo3b2o3bo$12b2o2b2o2b2o$14bo3b2o3bo$16b2o2b2o2b2o$18bo3b2o
3bo$20b2o2b2o2b2o$22bo3b2o3bo$24b2o2b2o2b2o$26bo3b2o3bo$28b2o2b2o2b2o$
30bo3b2o$32b2o2b2o$34bo!

This wick works in all rules from B3/S23 to B3678/S2345678, for a total of 256 different rules.

[Extrementhusiast]

Interesting oblique wick that resembles another known and stabilized wick:

Code: Select all

x = 38, y = 21, rule = B3/S23
3bo$2o2b2o$2b2o3bo$2o2b2o2b2o$2bo3b2o3bo$4b2o2b2o2b2o$6bo3b2o3bo$8b2o
2b2o2b2o$10bo3b2o3bo$12b2o2b2o2b2o$14bo3b2o3bo$16b2o2b2o2b2o$18bo3b2o
3bo$20b2o2b2o2b2o$22bo3b2o3bo$24b2o2b2o2b2o$26bo3b2o3bo$28b2o2b2o2b2o$
30bo3b2o$32b2o2b2o$34bo!

p4 agar:

Code: Select all

x = 41, y = 39, rule = B3/S23
3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o$3bo4bo4bo4bo4bo4bo4bo4bo$2bo4bo4bo4bo4b
o4bo4bo4bo$3b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2$3o2b3o2b3o2b3o2b3o2b3o2b
3o2b3o$3bo4bo4bo4bo4bo4bo4bo4bo$2bo4bo4bo4bo4bo4bo4bo4bo$3b3o2b3o2b3o
2b3o2b3o2b3o2b3o2b3o2$3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o$3bo4bo4bo4bo4bo4b
o4bo4bo$2bo4bo4bo4bo4bo4bo4bo4bo$3b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2$3o
2b3o2b3o2b3o2b3o2b3o2b3o2b3o$3bo4bo4bo4bo4bo4bo4bo4bo$2bo4bo4bo4bo4bo
4bo4bo4bo$3b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2$3o2b3o2b3o2b3o2b3o2b3o2b3o
2b3o$3bo4bo4bo4bo4bo4bo4bo4bo$2bo4bo4bo4bo4bo4bo4bo4bo$3b3o2b3o2b3o2b
3o2b3o2b3o2b3o2b3o2$3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o$3bo4bo4bo4bo4bo4bo
4bo4bo$2bo4bo4bo4bo4bo4bo4bo4bo$3b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2$3o2b
3o2b3o2b3o2b3o2b3o2b3o2b3o$3bo4bo4bo4bo4bo4bo4bo4bo$2bo4bo4bo4bo4bo4bo
4bo4bo$3b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2$3o2b3o2b3o2b3o2b3o2b3o2b3o2b
3o$3bo4bo4bo4bo4bo4bo4bo4bo$2bo4bo4bo4bo4bo4bo4bo4bo$3b3o2b3o2b3o2b3o
2b3o2b3o2b3o2b3o!

[balboa]

Hey all, just got addicted to life recently.. I've been noodling with pi's and r-pentominos, here's some cool combos:

4-pi ending in a neat cross pattern:

Code: Select all

x = 35, y = 35, rule = B3/S23
16bobo$16bobo$16b3o14$3o29b3o$2bo29bo$3o29b3o14$16b3o$16bobo$16bobo!

2-r Methuselah, about 8000 gen:

Code: Select all

x = 20, y = 20, rule = B3/S23
b2o$2o$bo15$18bo$18b2o$17b2o!

[Extrementhusiast]

For my p2 wick, I have found a partial stablilization:

Code: Select all

x = 44, y = 21, rule = B3/S23
5bobo$2ob2o2bo$5b2o2bobo$obobo2b2o2bo$4bobo2b2o2bobo$obo5bo2b2o2bo$8bo
bo2b2o2bobo$12bo2b2o2bo$12bobo2b2o2bobo$16bo2b2o2bo$16bobo2b2o2bobo$
20bo2b2o2bo$20bobo2b2o2bobo$24bo2b2o2bo$24bobo2b2o2bobo$28bo2b2o2bo5bo
bo$28bobo2b2o2bobo$32bo2b2o2bobobo$32bobo2b2o$36bo2b2ob2o$36bobo!

Aside from the "spark" cells, there is only a one-cell difference per end after one cycle (two generations)

EDIT: Just found this simpler spark that achieves the same results:

Code: Select all

x = 42, y = 21, rule = B3/S23
4bobo$2b2o2bo$o3b2o2bobo$bobo2b2o2bo$3bobo2b2o2bobo$bo5bo2b2o2bo$7bobo
2b2o2bobo$11bo2b2o2bo$11bobo2b2o2bobo$15bo2b2o2bo$15bobo2b2o2bobo$19bo
2b2o2bo$19bobo2b2o2bobo$23bo2b2o2bo$23bobo2b2o2bobo$27bo2b2o2bo5bo$27b
obo2b2o2bobo$31bo2b2o2bobo$31bobo2b2o3bo$35bo2b2o$35bobo!

EDIT: Just realized that the p2 wick is essentially an "extensible clock".

EDIT: (boy, there are a lot of edits to this post!) VERY close to fully stabilizing it:

Code: Select all

x = 38, y = 39, rule = B3/S23
17b2o$14bo2bo$12bo2bobob2o$12bo2bobo$13bo3bobo$17bo2$15b2o2$15bo2$13b
2o2$14bo$16bo$3bo11bo18bo$2b2o12b2o16bobo$2b2o15bo5bo6bo4bo$2bo5bo5b4o
2b2obobobo5b5o$6bobo5bo3b2o3bo5bobo$5o5bobobob2o2b4o5bo5bo$o4bo6bo5bo
15b2o$bobo16b2o12b2o$3bo18bo11bo$21bo$23bo2$23b2o2$22bo2$21b2o2$20bo$
18bobo3bo$20bobo2bo$17b2obobo2bo$20bo2bo$19b2o!

EDIT: Got it!

Code: Select all

x = 43, y = 32, rule = B3/S23
5$9bo$9bobo$7bo2bo$8b2o2bobo17b2o$7bo2b2o2bo18bo2bo$9bo2b2o2bobo11b2ob
obo2bo$7bo3bo2b2o2bo14bobo2bo$11bobo2b2o2bobo8bobo3bo$6b2o7bo2b2o2bo
10bo$15bobo2b2o2bobo$8bo10bo2b2o2bo7b2o$4bo3bobo8bobo2b2o2bobo$3bo2bob
o14bo2b2o2bo3bo$3bo2bobob2o11bobo2b2o2bo$5bo2bo18bo2b2o2bo$8b2o17bobo
2b2o$31bo2bo$30bobo$32bo!

It actually turned out to be simpler than I thought. And so now we have an extensible clock! Does anyone else outside of the forums know of the wick or its stabilization?

---

The "Beehive Jam":

Code: Select all

x = 7, y = 6, rule = B3/S23
5bo$3b2obo$bo2bobo$obo2bo$ob2o$bo!

[12Glider]

Code: Select all

x = 7, y = 7, rule = B3/S23
5b2o$4bobo$4bo$b2ob2o$2bo$obo$2o!

flipped bookends

[hkoenig]

Very nice.

Here's a one sided variation. (And the terminators can be used in your version.)

Code: Select all

x=66, y=45
4b2o$bo2bo$obobob2o$bo2bo$4bobo$5bo2$6b2o2$7bo2$8b2o2$8bo2$6b2o$5bo3bo$4b
ob2o2b2o$4b2o2b2o3bo$7bo2b2o2b2o$8b2o2b2o3bo$11bo2b2o2b2o$12b2o2b2o3bo$15b
o2b2o2b2o$16b2o2b2o3bo$19bo2b2o2b2o$20b2o2b2o3bo$23bo2b2o2b2o$24b2o2b2o3b
o$27bo2b2o2b2o$28b2o2b2o3bo25bo$31bo2b2o2b2o22bobo$32b2o2b2o3bo21bo$35bo2b
2o2b2o$36b2o2b2o3bo15b5o$39bo2b2o2b2o12bo4bo$40b2o2b2o3bo7bobo2bobo$43bo2b
2o2b2o5bo4bo$44b2o2b2o3bobo$47bo2b2o2bo$48b2o2b2o$51bo2b3o$52b2o3bo$54b3o$54b
o!

A while back, I posted a large pattern showing all sorts of ways of combining and terminating these sorts of chains:
http://conwaylife.com/forums/viewtopic. ... lator#p782

[davidspencer]

This is another still life I didn't expect to see. I ran into it while working with one-cell-thick patterns. I don't know its name, but I doubt it has one to begin with, being 40 cells large. It only survives for a few generations but you'll see it when it comes by.

Code: Select all

x = 51, y = 3, rule = B3/S23
$b4o3b3ob5o11b3o2b3ob9ob3o!

[knightlife]

This is another still life I didn't expect to see. I ran into it while working with one-cell-thick patterns. I don't know its name, but I doubt it has one to begin with, being 40 cells large. It only survives for a few generations but you'll see it when it comes by.

Code: Select all

x = 51, y = 3, rule = B3/S23
$b4o3b3ob5o11b3o2b3ob9ob3o!

Added blinkers let the final result consist entirely of still life patterns.

Code: Select all

x = 87, y = 1, rule = B3/S23
3o4b3ob3ob3o2b3ob9ob3o2b3o11b5ob3o3b4o9b3o3b3o!

However just one added blinker (second from right) is sufficient for letting the 40-cell still life survive.

[davidspencer]

Nice, I didn't think there was a way to stabilize it!

[Extrementhusiast]

However just one added blinker (second from right) is sufficient for letting the 40-cell still life survive.

Actually, even that can be reduced. Here is a 33-cell pattern that still keeps the 40-cell still life:

Code: Select all

x = 61, y = 1, rule = B3/S23
3ob9ob3o2b3o11b5ob3o3b4o9b3o!

[davidspencer]

Yeah, some of the objects on the left were remnants from what I was initially doing (I've been searching for one-cell patterns that emit a glider or spaceship with no debris, with moderate success). 33 cells is pretty small, though, I can't believe it was possible to shrink it that much!

[12Glider]

Code: Select all

x = 3, y = 4, rule = B3/S23
2bo$obo$obo$o!

Five generation predecessor of the Stairstep hexomino

[12Glider]

Code: Select all

x = 4, y = 5, rule = B3/S23
2bo$3o$o2bo$3o$2bo!

small predecessor of the queen bee

[Mats]

Here is a 19-cell predecessor to davidspencer's 40-cell still life:

Code: Select all

x = 6, y = 11, rule = B3/S23
2bo$b5o$2bo2bo2$o$o$o2$2bo2bo$b5o$2bo!

I know only one more still life that has a predecessor with less than half the number of cells of the still life, and that's the bi-pond.

[knightlife]

A glider seemingly blasts through the 40-cell still life unharmed:

Code: Select all

x = 28, y = 19, rule = B3/S23
bo$2bo$3o4$25b2o$21b2obobo$20bobobo$20bobobo$21bo2bob2o$24bob2o$23b2o$
24bob2o$21bo2bob2o$20bobobo$20bobobo$21b2obobo$25b2o!

[knightlife]

I know only one more still life that has a predecessor with less than half the number of cells of the still life, and that's the bi-pond.

7 cells makes 24-cell fleet:

Code: Select all

x = 4, y = 4, rule = B3/S23
o$b2o$bobo$2b2o!

EDIT: Hmm, not quite, that's two still life patterns

[Extrementhusiast]

Possible elevener synthesis technique:

Code: Select all

x = 7, y = 7, rule = B3/S23
4bo$4bo$b2ob3o$2o$bo2bo$2b3o$3bo!

[hkoenig]

Here are some 4 Glider constructions of that object:

Code: Select all

#C 11.22 constructions
x=56, y=15
6bo18b2o17b2o$7bo17bobo16bobo$5b3o19bo18bo$27b2o3bo13b2o$8bo23bobo$8bobo21b
2o15b2o$8b2o38bobo2bo$31bo18bo2bobo$30b2o21b2o$9bo20bobo$8b2o$8bobo$2o$b2o$
o!

(The 4 Gliders on the left is by Dean Hickerson)

[Extrementhusiast]

Six-glider twin hat synthesis:

Code: Select all

x = 34, y = 24, rule = B3/S23
bo$2bo$3o$5bobo23bobo$6b2o23b2o$6bo25bo2$22bo$21bo$21b3o6$25bo$24b2o$
24bobo4$4b3o$6bo$5bo!

[Sokwe]

There is a related 5-glider synthesis of twin hat that is already known:

Code: Select all

x = 24, y = 30, rule = B3/S23
bo$2bo$3o11$12bobo2bobo$13b2o3b2o2b2o$13bo4bo2bobo$23bo11$4b3o$6bo$5bo!