In a previous post I had some observations regarding the full Cubic Mandelbrot formula i.e. zn+1 = αzn3 + βzn2 + γzn+ c where α, β and γ are constant real, imaginary or complex numbers. Varying the values of α, β and γ and using the appropriate critical value results in a variety of fractals […]

Fractal Art is where art and mathematics meet, in this post the mathematics has intruded, so apologies to those whose only interest in fractals is artistic. Although this is a post about cubic Mandelbrots, I’ll start with a note regarding the standard Mandelbrot. The formula for the Mandelbrot has only one term involving z and […]