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Real Life Speeds

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Re: Real Life Speeds

Postby Hdjensofjfnen » September 3rd, 2017, 10:26 pm

BlinkerSpawn wrote:For the most part it's just a binary counter.


It is. Once the counter overflows, the tick moves up a slot, and the process starts again... all the way until the end of the line is reached. Then the ship moves one cell.
Life is hard. Deal with it.

Pattern of the month (September 2017):
#C [[ AUTOFIT ]]
x = 7, y = 9, rule = B34tw/S23
2o$2o$4b2o$6bo$3bo2bo$6bo$4b2o$2o$2o!
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Re: Real Life Speeds

Postby AbhpzTa » September 4th, 2017, 3:05 pm

Saka wrote:Lemme join in with my own rule, it's 7 states and it's based on a binary counter and it's not very slow, colors added for easy viewing:
@RULE BinSlow

@TABLE
n_states:7
neighborhood:vonNeumann
symmetries:none
var a={0,1,2,3,4,5,6}
var b=a
var c=a
var d=a
#IMPORTANT
a,b,c,5,d,4
1,b,c,6,d,6

0,a,b,c,1,2
2,a,b,c,1,3
2,a,b,c,3,3
0,a,b,c,3,2
3,a,b,c,d,0
4,2,0,0,4,5
5,a,b,c,d,0
4,1,5,b,c,6
4,a,5,b,c,5
6,1,b,c,d,0
6,a,4,b,c,4
0,a,b,6,c,1

@COLORS
0 48 48 48
1 255 0 0
2 0 255 0
3 0 230 0
4 0 108 255
5 0 178 255
6 0 255 255

Example:
x = 23, y = 21, rule = BinSlow
5.3D$5.D.D6.A$5.3D6.3D$5.D.D$5.3D4$3.3D.3D$5.D.D$3.3D.3D4.A$5.D3.D4.
6D$3.3D.3D4$3D.3D.3D$2.D.D.D.D.D3.A$3D.D.D.3D3.9D$D3.D.D3.D$3D.3D.3D!


bounding box x*2 : period = 3*2^(x-3)+2x-1 , speed = c/period


ANOTHER RATE ( exponential, base=(1+sqrt(5))/2 )
@RULE FibonacciSpeed
@TABLE
n_states:4
neighborhood:Moore
symmetries:none
var a={1,2,3}
var b={a}
var c={0,1,2,3}
var d={1,2}
var e={0,3}
2,0,0,1,0,0,0,e,0,3
3,0,0,d,0,0,0,0,0,1
1,0,0,2,0,0,0,e,0,3
1,0,0,3,0,0,0,0,0,2
1,0,0,1,0,0,0,3,0,2
3,0,0,d,0,0,0,1,0,1
1,0,0,0,0,0,0,3,0,2
2,0,0,0,0,0,0,3,0,0
0,0,0,0,0,2,3,0,0,3
0,0,0,1,0,2,0,0,0,3
0,0,0,d,0,3,0,0,0,1
0,0,0,2,0,1,e,0,0,3
0,0,0,3,0,1,0,0,0,2
0,0,0,1,0,1,3,0,0,2
0,0,0,1,0,2,3,0,0,3
0,0,0,d,0,3,1,0,0,1
0,0,0,a,0,1,2,0,0,1
0,0,0,1,0,2,1,0,0,2
0,0,0,a,0,1,1,0,0,1
a,0,b,0,0,0,0,c,0,0
3,0,0,0,0,0,1,0,0,1
1,0,0,1,0,0,3,0,0,2
2,0,0,1,0,0,3,0,0,3
3,0,0,d,0,0,1,0,0,1
1,0,0,2,0,0,3,0,0,3

length N : period = (N+3)rd Fibonacci number , speed = c/period

EXAMPLE
N=20 (c/28657 predecessor)
x = 20, y = 1, rule = FibonacciSpeed
B19A!

(c/28657 itself)
x = 20, y = 1, rule = FibonacciSpeed
AB2ACB14A!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: Real Life Speeds

Postby Saka » September 12th, 2017, 9:02 am

Idea: Use LCMs! I'm writing a program to calculate the LCM of primes.
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
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Re: Real Life Speeds

Postby blah » September 12th, 2017, 10:44 am

You could use the idea here to make a 1-cell spaceship with some massive but provably finite speed. Like, counting up to graham's number and then moving one cell. This thread is actually what gave me the idea for that thread.
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Re: Real Life Speeds

Postby gameoflifemaniac » September 12th, 2017, 12:48 pm

Saka wrote:Idea: Use LCMs! I'm writing a program to calculate the LCM of primes.

What is LCM?
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Re: Real Life Speeds

Postby blah » September 12th, 2017, 2:16 pm

gameoflifemaniac wrote:What is LCM?

Least common multiple. You could've looked this up; going through Wikipedia's disambiguation page, the phrase "Least common multiple" should stand out as being the only one that would pertain to this kind of thing.
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Re: Real Life Speeds

Postby Saka » September 12th, 2017, 7:37 pm

gameoflifemaniac wrote:
Saka wrote:Idea: Use LCMs! I'm writing a program to calculate the LCM of primes.

What is LCM?

A person who is "like 3rd grade middle school" in maths and someone who "memorized 250 digits of pi and understands infinite sums and integrals" should know what an LCM is.

Sok pinter ini orangnya
Everyone, please stop posting B/S about CA
The Bugs Range 1 to 100 Project
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Re: Real Life Speeds

Postby gameoflifemaniac » September 13th, 2017, 11:46 am

Saka wrote:
gameoflifemaniac wrote:
Saka wrote:Idea: Use LCMs! I'm writing a program to calculate the LCM of primes.

What is LCM?

A person who is "like 3rd grade middle school" in maths and someone who "memorized 250 digits of pi and understands infinite sums and integrals" should know what an LCM is.

Sok pinter ini orangnya

Sorry. I just could not recognize this! Maybe, if you would write this with lowercase letters, I would probably know what you're talking about.
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