/sci/ - Science & Math

[Anonymous No.4306063]

Math is truly beautiful
I was pretty bored so I decided to graph the Ulam spiral in Java

its a 800x800 matrix, the red dots are prime numbers, and the circles are composite numbers (their radius is one tenth of the amount of divisors the number has, in pixels)

The result is quite beautiful...

[Anonymous No.4306071]

That's....actually pretty cool

[Anonymous No.4306072]

Here is the same Ulam Spiral but without the composite numbers... you can see a lot of diagonals forming, and a couple of weird horizontal/vertical asymptotes (while the Composite numbers have diagonal sort-of asymptotes)

[Anonymous No.4306079]

I have to agree, I have just been taking in this picture and the only word to describe it beautiful.

[Anonymous No.4306077]

>>4306071
Tell me two colours
or three if you want to change the white background

I'm gonna try doing it in a 1280x800 grid so I can make a wallpaper

[Anonymous No.4306087]

for anyone interested

http://en.wikipedia.org/wiki/Ulam_spiral

[Anonymous No.4306099]

Some cool work with prime spirals, complete with great visuals.
http://www.divisorplot.com/6.html

[Anonymous No.4306111]

put that source up

[Anonymous No.4306116]

it's a bunch of dots

[Anonymous No.4306120]

This one is quite bigger, 1280x1000 (just for a 1280x800 wallpaper with some trimming hehe)

Panel class
http://pastie.org/3274799
Main class
http://pastie.org/3274793

My method for finding primes is shit

[Anonymous No.4306121]

Looks gay, OP.

Are you gay?

[Anonymous No.4306122]

>>4306116
its SCIENCE

[Anonymous No.4306133]

>>4306120
thanks man

[Anonymous No.4306140]

This one I like

[Anonymous No.4306146]

Cool

[Anonymous No.4306179]

this looks beautiful
indeed maths are beautiful, specially when they get some sort of cool visual representation

[Anonymous No.4306184]

What's it look like if you spiral starting with 1 in the upper left, then going around the outside and ending in the center?

[Anonymous No.4306208]

Rational Numbers

[Anonymous No.4306216]

>>4306184
it must have a completely varying result, depending on the dimensions of the square.

starting on the center does not vary, with high scales stuff begins to form, but maintains the same structure overall

[Anonymous No.4306220]

>>4306208
What about them?

[Anonymous No.4306223]

>>4306208
Primes > Rationals

[Anonymous No.4306233]

I'm gonna try doing it in a 1280x800 grid so I can make a wallpaper
>1280x1800
such low quality
recommended you double it

[Rebirth !NuJBxbKoek No.4306241]

>>4306208

No fucking way.

[Anonymous No.4306245]

>>4306233
The problem is that I don't know how to save the image from Java's panel into a file, I have to take screenshots, so I have to resort taking 1280x800 screenshots (laptop res) or stitching stuff very poorly and time consuming (like that 1280x1000 I did)

if there was a way to put whats painted on the Java panel into a file, I'd fire it up until 2048x2048 and have the program save the file itself

[Anonymous No.4306252]

>>4306208
explain

[Anonymous No.4306260]

[Anonymous No.4306463]

Has anyone tried to perform an Ulam Spiral using other planar tilings? Squares tile the plane. So do triangles and hexagons. So do an Ulam Spiral using hexagons, for instance.

[Anonymous No.4306764]

I did the same as op once but for surreal numbers.

[Anonymous No.4306769]

BOOMP! Still looking for an Ulam Spiral performed for other planar tilings.

[Anonymous No.4307377]

>>4306764
what program or programming language/libraries did you use for this?

[Anonymous No.4307388]

>>4306769
your best bet would be one with

5 4 3
6 1 2
7 8 9...
the diference is that above the central horizontal line, the lines are shifted to the left, and below, shifted to the right, so its like having a inclined plane. will look about it later and post results

[Anonymous No.4307390]

>Java

[Anonymous No.4307530]

You niggers need to post your code. This is really interesting.

[Anonymous No.4307617]

>>4307388
shit, its

5 4 3
   6 1 2
      7 8 9...
>>4307390
tell me then about a language that allows to do even the most basic graphic stuff (like drawing a square with x1,y1,x2,y2 coordinates, drawing a circle with x,y coordinates and radius, or drawing a line. with that, I'm set)

I'm already tired of doing this with Java.

>>4306120
code is here, two small classes.

[Anonymous No.4307790]

The fouriertransform also looks nice (i took a picture from wiki, looks slightly better then yours)

Also you could try python instead of java, its much easier for drawing simple stuff

[Anonymous No.4307792]

forgot the picture

[Anonymous No.4307822]

>>4307792
awesome
I finally found out how to make Java dump the rendered 2d image into a file

[Anonymous No.4308052]

>>4307792
can you explain me what FFT is?

[GL !Bgpe2HycPk No.4308068]

>>4308052
http://en.wikipedia.org/wiki/Fast_fourier_transform

[Anonymous No.4308076]

>>4307790
>python

and slower, great trade off!

[Anonymous No.4308082]

dots everywhere, whats the point?

[Anonymous No.4308084]

Not mine but kind of cool: Thomae's function, continuous at the irrationals but discontinuous everywhere else.

[Anonymous No.4308085]

>>4308082
*What is a "point"?

[Anonymous No.4308086]

>>4307790
show an example

[Anonymous No.4308188]

>>4308086
here, its right after the post
>>4307792

[Anonymous No.4309234]

>>4307617
Octave

[Anonymous No.4309244]

math's beauty is comprised of its forms and functions, and it's amazing how we can see a strange form of this beauty in our most primitive perception: the visual. humans just love pretty patterns.

[Anonymous No.4309244,1]

I wonder if you'd all humor a complete noob for a moment? I have had a look at the code above for generating ulam spirals in java and for the life of me I can't figure out how to double,quadruple, etc. etc. it to generate more intricate arrays. Can anyone maybe help me out? I tried adjusting the "mat = new int" dimensions, as well as the "while(cont<" number and I just keep getting bugs! Either that, or the window clips any array bigger than 1280X1050! Can any of you guys maybe tell me which variables in the code I'd need to modify in order to make a more detailed array that will fit in a 1280X1050 window? Or even better, what variables control what? Sorry to be a bother!