Chaotic attractors with the symmetry of a tetrahedron

Clifford Reiter (1)

1 Department of Mathematics

Functions that are equivariant with respect to the symmetries of a tetrahedron are determined. Linear combinations of these functions that give rise to chaotic attractors are used to create images in 3-space of attractors with the symmetry of the tetrahedron. These attractors are visually appealing because of the tension between the pattern forced by their symmetry and the randomness arising from their chaotic behavior.

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]; Mathématiques [math]

Clifford Reiter. Chaotic attractors with the symmetry of a tetrahedron. Computers and Graphics, 1997, Graphics in Electronic Printing and Publishing, 21 (6), pp.841-848. ⟨10.1016/S0097-8493(97)00062-9⟩. ⟨hal-01352442⟩