Efficient generation of hyperbolic symmetries from dynamics (Q1610061)

Dynamical systems are used in order to obtain automatic generation of aesthetic patterns with hyperbolic symmetry. The same authors have already used dynamical systems with the same purpose in a previous paper [Comput. Math. Appl. 31, No. 2, 33-47 (1996; Zbl 0847.58055)]. In this paper they present a new algorithm that improves that of the previous paper, since now only two or three generators of a hyperbolic group are involved in the computation to the contrary of the previous paper, where a large number of group elements had to be taken into account in the computation. The authors also present a modified convergence colour scheme that enhance the artistic charm of the images.