pifactorial

It can be really cool to dig through a person's scraps to get a background look at their artistic process.  Since I've started using sta.sh to submit my works, a lot of things have wound up sitting in my sta.sh rather than getting submitted to my scraps, much less to deviantArt proper.  These include variants of works I did wind up submitting, stills from animations, and just general things that I thought were coolish, but might might flood people's inboxes if I submitted them all.  I thought I'd post some of them here in case anyone's interested in browsing through them.  Let me know if you like any! Variants: http://sta.sh/0opfur9zvdk (va

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