Originally posted by colin shuker:
Basically, I'm trying to draw a Mandelbrot set.
And I need to plot a few hundred thousand points,
after testing them to see if they satisfy:
P[^n](0) /> infinity as n>infinity,
where P(z)=z^2+c, and c is the point (x,y)=x+iy.
Originally posted by colin shuker:
I'm shocked that java wont let you plot a point.
Why isn't there a method plotPoint(x,y) or something???
Rob
SCJP 1.4
Originally posted by Rob Ross:
One reason may be that in Java 2D, points are infinitely small. They have no spatial extent. A *range* of points, however, can be rendered, such as a line, or a rectangle.
I could ramble on for hours.
Originally posted by Ulf Dittmer:
Can't pass up tooting my own horn: at http://www.ulfdittmer.com/simplemandel/index.html is an applet (with source code) ...
Originally posted by Ulf Dittmer:
Can't pass up tooting my own horn: at http://www.ulfdittmer.com/simplemandel/index.html is an applet (with source code) that draws the Mandelbrot set for various exponents, and lets you zoom in and out. It has 12 builtin colors (the ones from java.awt.Color), but you can change those to any color sequence you like.
So is it always true that if all the points along the border of a bounding rectangle converge then all the points on the interior also converge? Has this been proved mathematically?
Originally posted by Timmy Marks:
Well, according to this page, the Mandelbrot Set is simply connected.
Originally posted by Timmy Marks:
Please feel free to ramble.
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