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In this post, I'll explain how you can do calculations in Rhodic algebra from a perspective of someone who is already familiar with generating fractals using complex algebra.  Given a point in 3D Cartesian coordinates, (x, y, z), let that point represent the ordered pair  = .  As explained in my last post, any complex-analytic function (such as exp, sin, cos, and any polynomial or ordinary arithmetic) can be applied directly to r and c individually.  For example,  *  = . The operation which is characteristic to Rhodic algebra is the Rhodic Schur product, which can be applied with either a constant or variable mu

Back when I was first taking an interest in rendering my own fractals (and actually came very close to being the discoverer of the Mandelbulb, but that's a story for another time), I was quite intrigued by the possibility of developing an algebra in three dimensions, with respect to which one could calculate the Mandelbrot set and other such fractals.  Experienced fractal artists are probably familiar with the fact that the Mandelbrot set can be calculated using four-dimensional quaternions, from which a three-dimensional slice can be taken, but I really wanted to come up with a fractal that was purely three dimensional. My first t