New fractal

Well, while keeping my mind nimble for the software engineering exam on Monday I've found a new fractal. It's the same algorithm as the Mandelbrot set, but using tessarines instead of the usual complex numbers.
I've written an applet for viewing the fractal. Left-click zooms in, right click resets to original zoom.

--update:
It turns out the method described above merely produces a computationally expensive square. The fractal on display above is a very pretty algebra mistake which I don't seem to be able to make again.