Construction of aesthetic spherical patterns from planar IFSs

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Article number1650030
Journal / PublicationFractals
Volume24
Issue number3
Publication statusPublished - 1 Sep 2016

Abstract

To construct symmetrical patterns on the unit sphere from the planar iterative function systems (IFSs), we present a method of constructing IFSs with D3 symmetry which is composed of three-fold rotational symmetries together with reflections. An algorithm is developed to generate strange attractors with D3 symmetry on a triangular face and then project it onto the surface of the unit sphere to form aesthetics patterns with spherical symmetry. As an illustrative example, we consider the regular inscribed icosahedron in the unit sphere which contains 20 triangular faces. This method is valid to randomly generate aesthetic spherical patterns using planar IFSs.

Research Area(s)

  • Contraction, IFS, Spherical Tiling, Strange Attractor, Symmetry

Citation Format(s)

Construction of aesthetic spherical patterns from planar IFSs. / Chen, Ning; Zhang, Yuting; Chung, K. W.

In: Fractals, Vol. 24, No. 3, 1650030, 01.09.2016.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review