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/* fract’ol :+: :+: :+: */
/* +:+ +:+ +:+ */
/* By: mpalkov <[email protected]> +#+ +:+ +#+ */
/* +#+#+#+#+#+ +#+ */
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/* PASSED with 125% ### ########.fr */
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/* ************************************************************************** */This project is about creating graphically beautiful fractals.
To see the complete instructions, read the subject.pdf
make
the bonus features are not included in the mandatory part. To see the full potential, I recommend to explore only the output of make bonus.
• Your program must offer the Julia set and the Mandelbrot set. • The mouse wheel zooms in and out, almost infinitely (within the limits of the computer). This is the very principle of fractals. • You must be able to create different Julia sets by passing different parameters to the program. • A parameter is passed on the command line to define what type of fractal will be displayed in a window. ◦ If no parameter is provided, or if the parameter is invalid, the program displays a list of available parameters and exits properly. • You must use at least a few colors to show the depth of each fractal. It’s even better if you hack away on psychedelic effects.
• Your program has to display the image in a window. • The management of your window must remain smooth (changing to another window, minimizing, and so forth). • Pressing ESC must close the window and quit the program in a clean way. • Clicking on the cross on the window’s frame must close the window and quit the program in a clean way. • The use of the images of the MiniLibX is mandatory.
make fclean
make bonus
• One more different fractal (more than a hundred different types of fractals are referenced online). • The zoom follows the actual mouse position. • In addition to the zoom: moving the view by pressing the arrows keys. • Make the color range shift. - I have used the numeric keys 7 8 and 9 to add color to channels R G and B, and the below line 4 5 and 6 to subtract from the respective channels.
Wikipedia https://en.wikipedia.org/wiki/Fractal
Mathematical explanation, calculating the Mandelbrot set and further optimize the calculations. http://warp.povusers.org/Mandelbrot/
A Statistical Investigation of the Area of the Mandelbrot Set PDF: https://www2.pd.infn.it/~lacaprar/Didattica/C++/Complex/Area%20of%20the%20Mandelbrot%20Set.pdf
The Mandelbrot set (M) has been called the most complex object in mathematics, and continues to be the subject of active research. One open question is, what is the area of M? It is well known that the set is bounded by a circle of radius 2, centered at the origin of the complex plane. Thus, the area is certainly less than 4π, or approximately 12.6. Indeed, the area is much less than that. The left-most extent of the set ends with the spike at x = -2, and the right side extends out to approximately x = 0.47. The top and bottom are at approximately y = ± 1.12, respectively. This bounding rectangle has an area of about 5.5, and even this is a gross overestimate, as shown. Here, M is rendered in a binary fashion: points inside the set are colored black and points outside the set are white.
