Cubic Mandelbrots and The Rudy Sets

Fun with fractals today (April 2, 2010)…and on April 7, 2010, I expanded this post to discuss the Quartic and Quintic Rudy sets.

RudyRockets (detail of the Rudy Set)

I gave an early version of this post as a talk at the Computer Systems Laboratory Colloquium Stanford University twenty years ago, on March 7, 1990, as "Computing Sections of the Cubic Connectedness Map." The hardware designer John Wharton invited me. Some of this information also appeared in the manual for the James...