The Electronic Visualization Laboratory (EVL) is an interdisciplinary graduate research laboratory that combines art and computer science, specializing in advanced visualization and networking technologies.  The laboratory is a joint effort of UIC's (University of Illinois at Chicago) College of Engineering and The School of Art & Design representing the oldest formal collaboration between engineering and art in the country, offering graduate degrees in electronic visualization (MFA, MS, PhD).   [Check out the The CAVE Virtual Reality Theater.]

      http://www.evl.uic.edu/hypercomplex/

Take a tour of the Quaternion Julia Sets.  See the  "Interactive Visualization of Quaternion Julia Sets" which utilizes the inverse iteration method to produce a real-time point cloud of the quaternionic Julia set.  And many other MPEG movies...