Serial Polar Transformation Motifs Revisited

Gary R. Greenfield
Renaissance Banff: Mathematics, Music, Art, Culture (2005)
Pages 443–448


Elliot and Bleicher considered using compositions of polar transformations—functions from the plane to the plane viewed as transformations from polar to cartesian coordinates — as a method for generating computer images. In this paper we revisit this technique for creating what we call motifs in order to more carefully consider: (1) how these transformations are defined, (2) implementation and resolution issues, (3) motif coloring, and (4) the automated evolution of motifs.