=* a proposition - the gas *=

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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SquishyBoi
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=* a proposition - the gas *=

Post by SquishyBoi » September 6th, 2020, 8:28 pm

hi hi
so i'm pretty sure anyone who still bothers to post on the forums is well-aware of the concept of methuselahs: a pattern that takes a significantly large number of generations in order to stabilize and tends to become much larger than its initial configuration at some point during its evolution.

but what about a pattern that has a large amount of cells/bounding box that will stabilize in an unnaturally short amount of time? that's what this thread is dedicated to. i decided to call the concept gas, because gas tends to disperse in a unnaturally quick manner, like so

Code: Select all

x = 7, y = 5, rule = B3/S23
b2o$3ob2o$b2ob3o$3ob2o$2o!
ok that was a bad example but you get the idea

so uh
ight ima head out
i is squishyboi, a professional dumbass hiding in the sandbox

get some icecream here - viewtopic.php?f=12&t=4666
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MathAndCode
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Re: =* a proposition - the gas *=

Post by MathAndCode » September 6th, 2020, 8:41 pm

There are at least two simple solutions.

Code: Select all

x = 19, y = 19, rule = B3/S23
obobobobobobobobobo2$obobobobobobobobobo2$obobobobobobobobobo2$obobobobobobobobobo2$obobobobobobobobobo2$obobobobobobobobobo2$obobobobobobobobobo2$obobobobobobobobobo2$obobobobobobobobobo2$obobobobobobobobobo!

Code: Select all

x = 23, y = 19, rule = B3/S23
2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o2$2ob2ob2ob2ob2ob2ob2ob2o!
Edit: Here are two solutions with density approaching one as the area approaches infinity.

Code: Select all

x = 18, y = 18, rule = B3/S23
o16bo$2b2ob2ob2ob2ob2o$b16o$b16o$2b14o$b16o$b16o$2b14o$b16o$b16o$2b14o$b16o$b16o$2b14o$b16o$b16o$2b2ob2ob2ob2ob2o$o16bo!

Code: Select all

x = 15, y = 15, rule = B3/S23
ob2ob2ob2ob2obo$b13o$15o$15o$b13o$15o$15o$b13o$15o$15o$b13o$15o$15o$b13o$ob2ob2ob2ob2obo!
I am tentatively considering myself back.

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yujh
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Re: =* a proposition - the gas *=

Post by yujh » September 7th, 2020, 5:15 am

I’ll probably suggest to move this to the sandbox?
And, @math and code, see cell and bounding box?
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

MathAndCode
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Re: =* a proposition - the gas *=

Post by MathAndCode » September 7th, 2020, 10:26 am

yujh wrote:
September 7th, 2020, 5:15 am
I’ll probably suggest to move this to the sandbox?
And, @math and code, see cell and bounding box?
All four of the patterns that I posted here can be infinitely extended.
I am tentatively considering myself back.

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yujh
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Re: =* a proposition - the gas *=

Post by yujh » September 8th, 2020, 6:19 am

MathAndCode wrote:
September 7th, 2020, 10:26 am
yujh wrote:
September 7th, 2020, 5:15 am
I’ll probably suggest to move this to the sandbox?
And, @math and code, see cell and bounding box?
All four of the patterns that I posted here can be infinitely extended.
I mean that smaller bounding box is preferred(, and it doesn’t need to die at once)
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

MathAndCode
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Joined: August 31st, 2020, 5:58 pm

Re: =* a proposition - the gas *=

Post by MathAndCode » September 8th, 2020, 11:19 am

yujh wrote:
September 8th, 2020, 6:19 am
MathAndCode wrote:
September 7th, 2020, 10:26 am
yujh wrote:
September 7th, 2020, 5:15 am
I’ll probably suggest to move this to the sandbox?
And, @math and code, see cell and bounding box?
All four of the patterns that I posted here can be infinitely extended.
I mean that smaller bounding box is preferred(, and it doesn’t need to die at once)
I think that SquishyBoi asked for a large bounding box if possible.
SquishyBoi wrote:
September 6th, 2020, 8:28 pm
…but what about a pattern that has a large amount of cells/bounding box that will stabilize in an unnaturally short amount of time? …
Also, while dying after a few more generations would still be unnaturally short, I think that dying after one generation would be the best example.
I am tentatively considering myself back.

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