Start plotting out pi in a 3d version of a hankel matrix
There's a pattern. This is pretty significant. I would plot out this myself but I have no 3d rendering software or skills, and my 2d sketches are nearly impossible to read.
3 1 4
1.2
5....9
what do you mean by plot? I presume you need some function f(x1,x2,x3,...xn) but what are the dependent variables here and what is the form of f?
>>7730609
Thats pretty interesting brah.
How did you think of that?
>>7730609
thanks anon i guess you wont mind if i publish this
>>7730609
Seems to me you're actively making the pattern out of garbage numbers and confusing yourself.
Let's first review what a Hankel matrix is, and try to figure out exactly what OP is suggesting.
https://en.wikipedia.org/wiki/Hankel_matrix
In a Hankel matrix (which is always a square matrix), each "opposite", or skew diagonal's entries are equal, as in OP's pic. A Hankel matrix of order n thus calls for 2n+1 distinct entries, say digits of pi (and not otherwise), viz.
[math] \displaystyle \left[ \begin{array}{c} 3 \\ \end{array} \right] [/math]
[math] \displaystyle \left[ \begin{array}{cc} 3 & 1 \\ 1 & 4 \\ \end{array} \right] [/math]
[math] \displaystyle \left[ \begin{array}{ccc} 3 & 1 & 4 \\ 1 & 4 & 1 \\ 4 & 1 & 5 \\ \end{array} \right] [/math]
etc. But since OP's 3x3 suggestion at the end of his OP is not of this form, a confusion arises. The thing to do is, to talk to 3DCG.
>>7731263
One indexing flub here; obviously a Hankel matrix of order n calls for // 2n - 1 // distinct entries. Or you could re-index the other way too:
order n + 1 ---> 2n+1 distinct entries
>>7731248
>pi
>garbage numbers
Im into python and opengl (3d point cloud plots ) but it dont understand anything of what op wants to do
Explain the algo step by step and I may do this
>>7731295
>pi
>not tau
pi a shit.
I am so confused
can someone please clarify what is going on?
all Hankel matrices are going to have a pattern if they are of that form
every entry with the same manhattan distance from the top left corner is going to be the same number
>woah
somehow pi is different?
am i plotting numbers incorrectly?
http://pastebin.com/gTdd5PDd
the code for making n matrixes kek
>>7731577
map that in 3 dimensions
>>7731597
>map that in 3 dimensions
if you tell me what mapping an n x n matrix in 3 dimensions means I could do that
>>7731577
what patterns are we supposed to be seeing?
why does this thread even exist?
>>7730609
We've figured out a pattern for primes to by arranging the natural numbers on a spiral starting from one, primes tend to form diagonals, the Ulam spiral.
Mathmatically it translated to nothing deep, only that there are many of b and c such that 4n^2 + bn + c generates a lot more primes than you'd expect.
Finding a pattern is one thing, finding whether it's significant of something "deep" and non-trivial is another.
>>7731577
>doesnt convert string to int
>>7731666
Notice diagonally that the numbers are the same? That's what we're talking about
>>7732379
Each row is just the row above translated back once
the opposites being equal is a fundamental result of building a matrix like that
in other words you could use any fucking number you wanted and you'd get the same result
how are people on sci this retarded
>>7732379
I seriously hope you are joking
>>7731608
nxnxn
>>7732533
You are fucking retarded then
>>7732393
Just how retarded can you get?
>>7732641
Neat...
>>7732641
ebin
>>7732641
great now this thread is gonna stay for a while
>>7730609
So you want something like this?
>>7730609
I know what you mean by a 3d hankel matrix.
But I don't understand how you decide the entries. Do you fill "sheet by sheet" or do you "loop everything around the origin", etc. Also, most importantly what dimensions?
>>7732641
>>7732641
this guy knows what OP is talking about
>>7731320
>unironically using meme numbers
very cool OP I will post three relevant pics, you pick the one that makes sense for you.
1/3 Conways Game of Life 3D (aka relevant patterns)
2/3 lambdoma and fraction lines
3/3 vortex math, look it up
>>7735085
I could not help but notice your gif was not optimized anon.
I have optimized your gif.
Your gif is now optimized.
>>7735088
I could not help but notice your gif was not optimized anon.
I have optimized your gif.
Your gif is now optimized.
>>7735102
thanks man, could you do this one too?
>>7735112
I could not help but notice your gif was not optimized anon.
I have optimized your gif.
Your gif is now optimized.
>>7735122
>1.95 --> 1.94 MB
>>7735112
>>7736126
>>7736126
>Lossy
Eww.
>>7731608
>if you tell me what mapping an n x n matrix in 3 dimensions means I could do that
kek. People in /sci/ are really this stupid
>>7732379
Please be a troll.
>>7732641
Not too shabby
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