Oooh-wheee! I have been studying up on the maths lately. My high school math teacher buddies tasked me with coming up with a new (no proportion grids or tessellations) math arts-integrated lesson (and if it could include digital art, too?).
Everything you need to know how to throw this down is below. We used the free, online program PiskelApp.com to make these animated fractals. All is free. Please be cool and attribute if you re-post and do not sell my work.