Chaotic attractors with the symmetry of the dodecahedron
type: Item
instance of: scholarly article
title: Chaotic attractors with the symmetry of the dodecahedron
zbMATH Open document ID: 0958.37009
author: Clifford A. Reiter
published in: The Visual Computer
publication date: 1999-11-10T00:00:00Z
review text: The author defines polynomial functions in 3-space that are equivariant with respect to the symmetries of a dodecahedron. Monte Carlo searches through the parameter space lead to functions that are experimentally chaotic and that have visually appealing attractors. The images are rendered by ray-tracing and an animation is created. Thus we deal with the construction of chaotic attractors with the symmetry group of the dedecahedron and the icosahedron.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37G40
Mathematics Subject Classification ID: 37G35
zbMATH DE Number: 1360848
zbMATH Keywords: polynomial function
zbMATH Keywords: symmetry of the dodecahedron
zbMATH Keywords: chaotic attractor
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s003710050173
OpenAlex ID: W2075864264
DOI: 10.1007/S003710050173
description: scientific article; zbMATH DE number 1360848