Strange Attractor Symmetric Icons
J. C. Sprott
Department of Physics, University
of Wisconsin, Madison, WI 53706, USA
ABSTRACT
Aesthetically appealing patterns are produced by searching a class of
nonlinear
maps for chaotic solutions and then transforming the coordinates so
that
the resulting strange attractors are contained within a sector of a
circle,
which is then replicated at various angles to produce images that
combine
the symmetry of the resulting displays with the fractal nature of the
underlying
attractors. Sample images, computer code
in
BASIC, and suggestions for enhancing the quality of the images are
given.
Ref: J. C. Sprott, Comput. & Graphics
20,
325-332 (1996)
The complete paper is available in PDF
format.
Return to Sprott's Books and Publications.
Fig. 1. Quadratic map with the coding ELBIAJSHWHARL and six sectors
with reflection symmetry.
![[Figure 1]](219fig1.gif)
Fig. 2. Cubic flow from the Duffing Equation with the coding
^DHXNCOEUK
and nine sectors.
![[Figure 2]](219fig2.gif)
Fig. 3. Cubic flow from the Duffing Equation with the coding
^FMMETWLDV
and five sectors.
![[Figure 3]](219fig3.gif)
Fig. 4. Cubic flow from the Duffing Equation with the coding
^IDUJKYEYV
and five sectors.
![[Figure 3]](219fig4.gif)
The computer source code icon256.bas
from the article is available along with an executable version icon256.exe.
Many more images of this type are
available.