Mandlebrot Fractal V 1.01 - BETA
CalebCarlson (33)

Mandlebrot Fractal V 1.0

This program renders the mandlebrot set and saves it as an image that you can download. The image will be found in the Mandelbrot.png file.

What is the mandlebrot set?

To put it simply, the mandlebrot set is a fractal which is plotted on the complex plane. To tell if a certain point is in the mandlebrot set you iterate over this equation:

z = z^2+c

Where z starts at 0 and c is a complex number in the form of x + iy.

If the absolute value of z ever goes over 2 (escapes), then it is Not in the set. Colors are rendered according to how soon they escape the set.

How to use:

Simply wait for the image to generate, then click on the spot where you want to zoom in on.


Now has zoom capabilities.
Allows you to download the current view of the Mandelbrot fractal
improved calculation speeds

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maazzubair99 (112)

If the mandlebrot set is in the complex plane, how do you plot it on a x-y plane?

CalebCarlson (33)

That is a good question, You would represent the complex plane by plotting it on the real plane. you plot points on the complex plane by using complex numbers in the form of x + iy,
x and y being real numbers, and 'i' the imaginary part.
so what you can do, is take the 'real' parts from the complex number ('coordinates' on the complex plane)
and use those for x,y coordinates.

maazzubair99 (112)

@CalebCarlson so the x-axis represents the real part, and the y-axis is the coefficient of the imaginary part?

CalebCarlson (33)

Yes... I think
I'm not an expert on imaginary numbers (I'm only 14) and the complex plane, but I think that you are right.

Giothecoder (122)

@CalebCarlson yes both of you are right. The y axis becomes the i axis and the x axis becomes the real axis.