Chaotic attractors with the symmetry of the dodecahedron

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Abstract
  • Polynomial functions in three space that are equivariant with respect to the symmetries of a dodecahedron are determined. These are constructed with a sum of functions under changes of coordinates with respect to the group. Monte Carlo searches through parameter space lead to functions that are experimentally chaotic and that have visually appealing attractors. Ray-tracing techniques enable the rendering of the three-dimensional attractors so that both their complexity and symmetry can be observed.
TitleChaotic attractors with the symmetry of the dodecahedron
CreatorReiter, Clifford A.
PublisherVisual Computer
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date Issued1999
Date Available2015-04-17T20:36:29Z
TypeArticle
LanguageEnglish
Keywordicosahedron
chaos
dodecahedron
ray tracing
attractor
Bibliographic CitationReiter, C. A. (1999) "Chaotic attractors with the symmetry of the dodecahedron." Visual Computer 15 (4): 211-15. 1999.
Standard IdentifierDOI 10.1007/s003710050173
Handle 10385/1813
Permalinkhttp://hdl.handle.net/10385/1813
Rights Statement In Copyright In Copyright
Rights HoldersSpringer-Verlag
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