ConwayLife.com

Bullet51

(this is a hybrid CA/xen joke so don’t worry if you don’t get it)

When you temper out 49/48 x = 10, y = 10, rule = B3/S23
2o$2o4b2o$2b2obo2bo$2b2obo2bo$6b2o$2b2o$bo2bob2o$bo2bob2o$2b2o4b2o$8b
2o!

What does the pattern have to do with the identification of 8/7 and 7/6, or maybe I have chosen ...

Bullet51

p8 oscillator in B3-c/S23:

Code: Select all

x = 14, y = 11, rule = B3-c/S23
4b2o$5bo$5bob2o3b2o$b2ob2obobobobo$b2obo4bobo$5bobobob2o$b3obo5bo$o2bo
2bob2obo$2o2b2o3bob2o$6b3o$6bo!

Bullet51

Q: Demonstrate that pure emptiness has causal power.

Bullet51

tommyaweosme wrote: February 8th, 2026, 7:45 pm Q: what is gemini solitaire?

A: Another name for double freecell.

Q: Why do Pseudo-random number generators have apperantly random behaviour?

Bullet51

C̴o̴n̴j̴e̴c̴t̴u̴r̴e̴:̴ ̴ ̴A̴n̴ ̴i̴n̴f̴i̴n̴i̴t̴e̴ ̴s̴t̴i̴l̴l̴ ̴l̴i̴f̴e̴ ̴i̴n̴ ̴B̴2̴3̴/̴S̴1̴4̴V̴ ̴h̴a̴s̴ ̴a̴t̴ ̴m̴o̴s̴t̴ ̴1̴ ̴S̴4̴ ̴c̴e̴l̴l̴.̴

Stronger conjecture: There are only 4 infinite still lifes in B23/S14V with at least 1 S4 cell.

Bullet51

A: ∞.
Q: What is Spider solitaire?

Bullet51

The expansion factor of a sawtooth is the limit of the ratio of successive heights (or equivalently, widths) of the "teeth" in plots of population versus generation number.

Why does the growth being not exactly exponentially spaced bar the existence of the expansion factor, on the LifeWiki page ...

Bullet51

eRroR_6o6 wrote: July 27th, 2025, 6:59 pm Q: When did we discover gliders in Real Life?

A: Wrong question. They are created instead of discovered.

Q: Is it possible to make a dodecahedra in Life?

Bullet51

A(islptng): It was constructed using just... itself.

This would be considered a correct answer, as the waterbear is a self-supporting structure.

Q: How many gliders can fit into a square of side length 3.877084?

A: 9.

Q: What happens when particles and antiparticles (a spaceship and its ...

Bullet51

eRroR_6o6 wrote: July 10th, 2025, 10:05 pm Here's a conjecture: Every infinite oscillator has a period that is a power of 2.
(I'm kinda hoping this is false.)

Is an infinite oscillator an almost oscillator in the sense of LifeWiki?

Bullet51

p7:

Code: Select all

x = 17, y = 19, rule = B3/S23
8bo$7bobo$3b2o3bo3b2o$3bo9bo$2obo9bob2o$2obob7obob2o$3bobo5bobo$2obo9b
ob2o$bobobo5bobobo$bob2ob2ob2ob2obo$2obobo5bobob2o$3bo9bo$3bobo5bobo$
2obob7obob2o$2obo9bob2o$3bo9bo$3b2o3bo3b2o$7bobo$8bo!

Bullet51

p10 and accelerated p8:
x = 39, y = 14, rule = B3/S23
7bo5b2o13bo5b2o$6bobob2o2bo12bobob2o2bo$5bo2bobob2o12bo2bobob2o$5bob2o
17bob2o$2b2obobo2bob2o2b2o5b2obobo2bob2o2b2o$3bob2o2b2obobo2bo6bob2o2b
2obobo2bo$3bo6bo3bobo7bo6bo3bobo$2obo8bobob2o3b2obo8bobob2o$2ob2o6b3o
7b2ob2o6b3o2$11b3o14b2o2b3o ...

Bullet51

p10:

Code: Select all

x = 19, y = 17, rule = B3/S23
11b2o$12bo$11bo$11b4o$4b2o3b2o4bob2o$2obo2bobobob3o3bo$2obob2obobobo2b
3o$3bobo2bo6bo$3bo2bo2bo$4bobo$3b2o2b3o2b2obo$5bobobo4b4o$5bobo10bo$4b
2obobo2b2ob3o$8b2o3bobo$13bobo$14bo!

Bullet51

p8:
x = 15, y = 16, rule = B3/S23
6b2o$6b2o2$4b6o$3bo6bo$3bob5obob2o$2obo5bobob2o$bobobob2o2bo$bobo7bob
2o$2ob2obo3b2ob2o$3bo2b2o3bo$3bobo3bobo$4b2ob3ob2o$6bo$6bob2ob2o$7bobo
b2o!

It can be kinetic-symmetrized in an obvious way.

EDIT:
p12 and p9:
x = 18, y = 14, rule = B3/S23
5bo2b2ob2o ...

Bullet51

I have already started a thread about 2xn spaceships, so it's recommended to merge the discussions in this thread to the 2xn thread.

Bullet51

p10:

Code: Select all

x = 15, y = 14, rule = B3/S23
5b2ob2o$5bo3bo$6bobo$3b4ob4o$obo9bobo$2ob7obob2o$3bo7bo$3bo3bobobo$2ob
obobo3bob2o$obo9bobo$3b9o2$5b2ob2o$5b2ob2o!

Bullet51

55p10 monomer:
x = 40, y = 16, rule = B3/S23
4b2o$4bo$5b3ob2o3b2o$7bobobobobo$11bobo$7bo2b2ob2o11bo5bo$4b3ob2obo11b
3obo3bob3o$3bobo3bobo10bobo3bobo3bobo$b3o3bobob2o7b3o3bobobobo3b3o$o4b
o3bo9bo4bo3bobo3bo4bo$b5obobo10b5obobobobob5o$6b2ob2o14b2obobob2o$3b2o
17b2o5bo5b2o$3bo18bo13bo$4bo18bo11bo ...

Bullet51

Two p10s and a p8:
x = 57, y = 17, rule = B3/S23
8b2o3bo14bo3b2o14bo$9bo2bobo11b3o2bobo13bobob2o$7bo4bobo10bo5bo15bobob
2o$7b2o2b2ob3o8b6ob4o10b2obo$b2o7bo6bo4bo7bobo2bo5bo3bo3bo5b2o$2bo2b4o
b2ob2ob2o4b6o12bobobob3ob2o4bo$2bobo3bobo3bobo11bo10bo2bobo3bobobobo$o
bo2b3obob2obobo5b4o2b2o10b3obo7bob2o ...

Bullet51

Here's a p18 oscillator that has no good reason not to be p19:
x = 17, y = 13, rule = B3/S23
5b2o$5bobo$2bo4b3o3bo$bobo2bo3bobobo$obo2bob2obobo2bo$obob2o4bob2obo$b
2o2bobob2o4b2o$3b2o2bo3bob2o$3bo4b3o3bo$4b4o3b3o$7bobobo$6bo2b2o$6b2o!

Here's a variant:
x = 33, y = 20, rule = LifeHistory
29 ...

Bullet51

p9:

Code: Select all

x = 14, y = 13, rule = B3/S23
4bo$4b3o$7bo$2b5obo$bo4bob3o$b3ob2o4bo$4bobob3o$b2ob2obo$obobo2bobobo$
o3b4ob2obo$b3o4bo3bo$4bobobo3b2o$3b2ob2o!

Bullet51

A: This requires sesame oil as a predecessor, so a synthesis is easily derivable from that of sesame oil.
Q: How to construct a true-period p14 LWSS gun?

Bullet51

p8:

Code: Select all

x = 13, y = 17, rule = B3/S23
4bo$4b3o$7bo$2b5o4b2o$bo5b3o2bo$2b4o3b2o$6b2o$4bo3b3o$2b4obo3bo$bo4bob
3o$o2bobo2bo$3obobo$4bob2o$2ob2obo$bobo2bobo$bo2bo2b2o$2b2o!

Bullet51

Q: What is the first 5-cell spaceship to be discovered in any cellular automata ?

Q: what is the first spaceship with 5 cells in any ca (because we can apparently repeat questions now)

The two questions are different, because spaceships are not necessarily ordered by discovery date ...

Bullet51

and the 4c/16 blinker puffer wave...

x = 99, y = 24, rule = B3/S23
3$b2o12b2o12b2o12b2o12b2o12b2o12b2o$b2o12b2o12b2o12b2o12b2o12b2o12b2o$
3bo10bo2bo10bo2bo10bo2bo10bo2bo10bo2bo10bo2bo10bo$3b12o2b12o2b12o2b12o
2b12o2b12o2b12o$3b2o3b2o3b2o2b2o3b2o3b2o2b2o3b2o3b2o2b2o3b2o3b2o2b2o3b ...

Bullet51

Is this kind of sparky eater known?

Code: Select all

x = 14, y = 13, rule = LifeHistory
2.2A3.2A$2.A.A2.A.A$4.A4.A$4A.4A.2A$A2.A.A2.B.A2.A$3.ABAB2A.A.2A$.3B
2ABAB.A$.2AB.4B2A$A.AB3.2BD$2.A5.D2$9.2A$9.2A!

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