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Wyirm

After studying differential calculus, a thought came to my mind: Could CA be simulated through a system of equations? The answer is no, but it got me thinking about non-discrete systems. The following are 2 potential alternative systems to discrete automata.

1. State-continuous CA:
Generally, there ...

Wyirm

Technically, the definition of a white hole is a time-reversed black hole. In other words, it is a causally disconnected piece of space-time which is impossible to enter without traveling faster than c. There is no rule saying objects inside a white hole must exit, only that the flow of information ...

Wyirm

I think such a black hole does exist for any n. To construct it, go through all the n by n patterns. Make a border capable of containing the first one. Then, make a border capable of containing the second one when run inside the first one. Repeat this for all 2^n^2 patterns, and you have a border ...

Wyirm

Conjecture: GCOL does not follow the second law of thermodynamics, entropy must always increase. We can't disprove an icenine, and cgol doesn't have the issue that decreasing entropy requires energy. The very existence of people proves this, it is possible for an extremely organized pattern or ...

Wyirm

Sorry for double post

It's a new day!
429M, 7 cells. Bounding box 11x14. MCPS 16. L/I = ~61.2857 L/MCPS = 26.8125.
x = 11, y = 14, rule = B2n3-ekqy4c5e/S2-cn3-eky4aij5e
9bo$9b2o9$b2o$2bo2$o!

Can anyone find longer lived methuselahs?

1372M from a relative another methuselah listed both below ...

Wyirm

The information limit is the maximum rate at which information can move. The effect of this can be thought of as an imaginary bubble that expands at c which no information can leave. This is essentially an event horizon, and causality states no information can be transmitted faster than c, or escape ...

Wyirm

Strange glider advancer:
x = 6, y = 7, rule = B2n3-ekqy4c5e/S2-cn3-eky4aij5e
bo$2bo$3o2$4b2o$2o2b2o$2o!
Edit*
Didn't want to double post, here's a sl "constellation" flipper powered by caps:
x = 63, y = 63, rule = B2n3-ekqy4c5e/S2-cn3-eky4aij5eSuper
46.2A$42.B2.B2A$41.3B.2B$41.6B$40.8B$39.8B$40 ...

Wyirm

Floor τ consists of a group of mathematicians and engineers arguing about whether τ should serve as a unit for radians or torque.

Wyirm

It was shockingly difficult to reduce the current stabilization of the large drifty HF catalyst, Only able to save 3 cells on the left, comparison:
x = 39, y = 20, rule = LifeSuper
4.2A$5.A$4.A$4.2A2C.2A16.2C.2A$7.C.C.A14.A.C.C.A$4.AC.C.C2.A10.A2.C.C
.C2.A$3.C.C.2C.C.3A7.A.C.C.2C.C.3A$3.C2.C3.CA3 ...

Wyirm

2 useless chucklebait variants with SI stabilization

Code: Select all

x = 26, y = 14, rule = StateInvestigator
8.2A$.2A4.A.A$A.A2.3A$A.A.A3.A12.3ED$.A.A.A.A.A10.ED.AED$3.A.A.2A9.ED
EA.2A$2.A.A13.A.A$3.A15.A3$2A14.2A$A.A13.A.A$3A13.3A$.A15.A!

Wyirm

I found another puffer-based methuselah. This pattern stabilizes after 126,932,978 generations (126932978M). It fits into a 20x20 bounding box. I will post the script I used to help find it in the ‘Golly Scripts’ topic sometime soon. It is not a fully automated script though, as it requires some ...

Wyirm

Can we make another snark/syringe?
x = 15, y = 17, rule = B3/S23
5bo$4bobo$4bob3o$b2obo4bo$bobobobobo$3bobob2o4b2o$2bobo8bo$3bo7bobo$11b
2o2$bo$2bo$3o3$2o$2o!
x = 15, y = 17, rule = B3/S23
12bo$12bobo$12b2o2$4b2o$4b2o4$2ob2o$ob2obobo$5b2obo$b2obo3b3o$bo3b3o3b
o$2b3o3b3o$5bo2bo$4b2o!

The ...

Wyirm

Is this p10 dot sparker new or did I rediscover it?
x = 6, y = 8, rule = StateInvestigator
.2A$.A2.A2$5.A2$3.2A$2.DE$DED!

Related family of beehive eating reaction oscillators (p7, 8, 10, 12, and something), and an unrelated oscillator.
x = 69, y = 9, rule = StateInvestigator
30.2A$2.2A9 ...

Wyirm

Is there an official name for this spark?
x = 3, y = 4, rule = b3/s23
bo$3o$3o$bo!

I've decided to finally create a wiki page for this thing under the name of line-of-six spark , with some other names that I've seen thrown around listed in the introductory section with references. So perhaps ...

Wyirm

Is this p10 dot sparker new or did I rediscover it?

Code: Select all

x = 6, y = 8, rule = StateInvestigator
.2A$.A2.A2$5.A2$3.2A$2.DE$DED!

Wyirm

p100 gun reduced from 37x37 (1369-cell BB) to 39x32 (1248-cell BB) using a thinner p5 boat from jslife's p5 sparkers of all things:
x = 39, y = 32, rule = B3/S23
3b2o2b2ob2o20bo$b3obo2bobobo8bo3b2o3b3o$o4b2obo3bo2bo3b3o2bobo2bo$ob3o
3bo3bobob2o3bo3bo3b2o$bo2b2obo4bobo2bo2bo$5b2o3b3o4bo2bo16b2o ...

Wyirm

Not necessarily an elementary conduit, but a neat reaction nonetheless:
x = 38, y = 28, rule = LifeSuper
9.2A$9.2AB$10.B$10.5B$8.10B$8.10B$8.2BD10BD$8.2B2D10BD$8.B2D11B2D$8.
13B2D$7.14BD$7.17B.B$7.27B2.B$7.25BDB.B2A$8.2B2C18B3D3B2A$9.2B2C17BDB
DB.2B$9.2BC18BD3B$9.16B2.6B$9.14B$4.3B2.9BD6B$2.16BD8B ...

Wyirm

Is that a 3-cell predecessor to a quadratic growth puffer I smell?

Code: Select all

x = 5, y = 1, rule = B2ce3aik/S01
obobo!

Btw the replicator doesn't work in this rule

Wyirm

Useless methuselah consisting of 2 r sequences:

Code: Select all

x = 4, y = 10, rule = LifeSuper
.2C$2.2C$2.C5$.2A$A2.A$.2A!

Creates a qb, and later a mango.

Wyirm

If a 90-degree reflector is constructed, it could prove this rule omniperiodic. Current progress:
x = 50, y = 12, rule = B2ce3ai/S01Super
19.A7.A16.A$21.A3.A20.2A$20.B5.B15.A$17.A2.2B.B.2B2.A10.A$4.A3.A10.2B
A3BA2B$2.A7.A7.11B10.A$A2.2B.B.2B2.A6.9B13.A$2.2A.B.B.2A6.A3.2BD2B3.A
$4.5B12.BDBDB12.A$5 ...

Wyirm

My reason for inventing the IceNine "thought experiment" was to say that, while it's extraordinarily unlikely that any such thing as IceNine exists in real Life, it's also hard to imagine that anyone will be able to come up with an airtight proof of its nonexistence.
...
But it might be a ...

Wyirm

AlbertArmStain wrote: November 7th, 2022, 6:15 pm Anything can be constructed in N number of cells
where N is not equal to infinity

Gardens of Eden have been proven to exist. In other words, not all patterns have a predecessor.

Wyirm

Can an Icenine theoretically exist? And if it could, couldn't one make the assumption that infinitely many unique instances or kinds of Icenine exist? Finally, If Icenines do exist, and multiple types of Icenine, couldn't one make the argument that 2 different of these hypothetical agars could be ...

Wyirm

Really sad posting this one, my computer died, and I lost tons of other objects in this rule.
The rule mainly consists of tightly packed dots and dominoes, but possesses a c/2, a chaotic c/2 puffer, a replicator that's not exactly XOR and also just makes puffers, and some other cool oscillators ...

Wyirm

What is the bounding box of this gun? Is the entire rotor counted or just the stator? If the entire rotor counts, does this mean that edgeshooters such as hfx119h don't have any clearance at all?

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Non-Discrete Automata

Re: Black holes in CGOL

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Re: Eatsplosion (B2n3-ekqy4c5e/S2-cn3-eky4aij5e)

Black holes in CGOL

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