20MB mpeg movie
"A Diamond of Quaternionic Julia Sets" explores the quaternionic Julia set of f(z) = z2 + k. The fractal is rendered by ray tracing using the distance estimation algorithm for hypercomplex iterations.

Animation of the fractal is achieved by traversing the constant space in time.

 

A Diamond of Quaternionic Julia Sets
Computer Animation:

Algorithms:

Mathematical Research:

Visual Leadership:
Daniel Sandin

Yumei Dang

Louis Kauffman

Tom DeFanti