wjgilbert@watmath.waterloo.edu (William J. Gilbert) (03/12/88)
UNIVERSITY OF WATERLOO
FRACTAL GEOMETRY AND DYNAMICAL SYSTEMS SEMINAR SERIES
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TITLE: Quaternionic Julia Sets
SPEAKER: Prof. John Holbrook, University of Guelph
DATE: Thursday, March 24, 1988
^^
[Note change of date]
TIME: 3:30 p.m.
ROOM: MC 1056
ABSTRACT: The quaternions provide a four-dimensional playground in
which one can mimic some of the constructions and concepts from
complex dynamics in a hypercomplex setting. We examine the
quaternionic analogues of Julia sets (fractal dragons and the like)
for quadratic mappings and demonstrate methods for displaying the
resulting 4D dragons. We consider questions of symmetry and
connectedness for these objects. We may ask for a sort of atlas or
Mandelbrot set for classifying the objects in terms of the
quaternionic parameter value.