Fractal Geometry Graphics

This animation shows a high resolution zoom of a point near the edge of the Mandlebrot set. At each frame of the animation, the set of visible points are identified and are determined to be inside or out of the Mandlebrot set by using the characteristic equation f(z) = z^2 + c. A maximum number of 10,000 iterations is used to determine this, and the amount of iterations needed for divergence is recorded in order to produce the color gradient shown below: the greyer/darker colors correlate to a faster convergence, while the yellower/lighter colors approach/exceed the divergence limit set. In the next frame, the dimensions of the display window are scaled to be centered around the target focal point and the entire process is repeated to create the next frame of the animation. In total, 189 frames are computed to create the animation sequence shown below. The complete source code of this animation can be found here.