Sierpinski-generator

This is a cpp program written in SDL2. It generates a fractal, the Sierpinski triangle. It uses a simple algorithm that relies on chaos theory and geometric attractors. From more info and inspiration I suggest you to watch this video from Numberphile (https://www.youtube.com/watch?v=kbKtFN71Lfs).

Algorith step by step

1. Draw three random points on the screen, they will be the vertices of a triangle.
2. Choose a random point, the pivot. I have chosen, to make things easier, the middle point of the screen
3. Now roll a three-face dice (generate a random int from the interval [1,3])
4. If the result is 1 move the pivot half way to the first vertex, if it's 2 just move it half way to the second, if it's 3 just move it to the third.
5. Draw the new position of the pivot on the screen
6. Iterate steps from 3 to 5 at least 10000 times A fractal will appear on the screen. How amazing is that? :)