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https://github.com/inesalves44/fract-ol

fract-ol project
https://github.com/inesalves44/fract-ol

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fract-ol project

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# Fract-ol (42 lvl - 2)

## Overview



This is a repository for the 42 school project of fract-ol.

The point for this project is to create a program that renders different fractals.



### What is a fractal?



According to Wikipedia a fractal is: "In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension".



Basically a fractal is a geometric figure with a never ending pattern. 



## Mandatory Part



For the mandatory part, the objective was to use mlx library to create, in a window the Mandelbrot set and the Julia set.



To run the mandatory part in the project directory write: make all.



The project runs like this:



```

./fractol FRACTAL

 ```

 

For the mandatory part for both fractals here are the options:



1) To change the window size run the program with iwNUMBER and ihNUMBER (in what order you want);

 ```

For example: ./fractol mandelbrot iw300 ih500

 ```

2) The mousewheel zooms in and out in the center;

3) ESC and the cross of the window closes the window.



### Mandelbrot Set

![Screenshot from 2023-02-14 19-55-05](https://user-images.githubusercontent.com/105734074/218847171-2d7cf226-61d6-489e-b853-774298a6e616.png)



Mathematical formula: f(z) = z² + C (iterating different values of C, which is a complex number)



### Julia Set

![Screenshot from 2023-02-14 19-57-07](https://user-images.githubusercontent.com/105734074/218847583-e9be9653-2ff2-437e-b724-b6255d745208.png)



Mathematical formula: f(z) = z² + C -> Here the C is constant.



For the Julia set you can also change the image by runing the program like this:

 

 ```

./fractol Julia cxNUMBER cyNUMBER -> the cx nuber should be between -2 and 1 and the cy should be between -1,5 and 1,5!

 ```



## Bonus



To compile the bonus: make bonus.



For the Bonus you can run the program only by: 

 

 ```

./fractol

 ```



Then this window will be displayed and you should input in the terminal one of the options (numbers or fractals).



![Screenshot from 2023-02-14 20-12-07](https://user-images.githubusercontent.com/105734074/218851111-6bd98990-665b-4d65-bf0d-f2555e2f40c5.png)



After reading the input from the terminal we have this prompt:



![Screenshot from 2023-02-15 19-58-06](https://user-images.githubusercontent.com/105734074/219139128-f4f69ea1-c7c5-41d0-ba58-1ac314c8ea08.png)



This window shows you the rendering options!



### Mandelbrot



![mandelbrot](https://user-images.githubusercontent.com/105734074/219144763-f38e5d2c-050b-4294-9b38-336a6e436090.gif)



zoom



### Julia 



![julia](https://user-images.githubusercontent.com/105734074/219143714-0f892836-7a08-4a55-af68-12a02da54a17.gif)



zoom + changing inputs and colors!



### Burning Ship



![bs](https://user-images.githubusercontent.com/105734074/219145772-2be9ce69-1cca-4653-b092-69d57c48a2f0.gif)



The Burning Ship is a fractal that works with the module of mandelbrot!



### Make Commands

```

make all - creates executable

make bonus - creates executable for bonus

make clean - clean the objects

make fclean - clean executable and any library, also runs clean

make re - runs clean and fclean and then runs all to create the executable

make rebonus - runs clean and fclean and then runs all to create the executable for bonus

 ```

 ## Links

 

 [Mandelbrot example](http://warp.povusers.org/Mandelbrot/)

 

 [Julia example](https://lodev.org/cgtutor/juliamandelbrot.html)

 

 [Minilibx](https://harm-smits.github.io/42docs/libs/minilibx)



Thanks for reading!!



you can slack me: [idias-al](https://profile.intra.42.fr/users/idias-al)