January 2014

Mandelbrot Orbit Plot
I created the following images by plotting the numbers in the Mandelbrot set fractal iteration sequence z=z^2+c. Multiple sequences are plotted, each one obtained by selecting a value for c from a given line across the Mandelbrot set fractal's domain. The position along the line is used to offset the plotting locations in 3D space. The iterations are performed in a shader and the resulting position is extruded into a camera-aligned quadrilateral by a geometry shader.