Paper Info
Title
Julia sets in the quaternions
Abstract
Recent mathematical work on the dynamics of complex analytic functions has given rise to a new subject matter for computer graphics. The combination of mathematical theory and computer graphics has resulted in new insight into the nature of some of the simplest of mathematical objects. second-degree polynomials. Most of that work has focused on the possibilities within the two-dimensional complex plane. This article shows how these investigations may be extended to higher dimensions, resulting in fractals that naturally reside in the 4-dimensional quaternions. Particular attention is paid to the formula ax 2 + b . A method is given for obtaining various interconnection patterns for the Julia sets in 4-space, and the results are displayed in 3-D computer graphics.
Year
DOI
Venue
1989
10.1016/0097-8493(89)90071-X
COMPUTERS & GRAPHICS
DocType
Volume
Issue
Journal
13
2
ISSN
Citations 
PageRank 
0097-8493
11
2.72
References 
Authors
0
1
Name
Order
Citations
PageRank
Alan Norton113935.03