TESSELLATIONS WITH THE MODULAR GROUP FROM DYNAMICS

Automatic generation of coloured patterns with symmetry of the modular group is considered from a dynamical system's point of view. An equiv ariance property is imposed on dynamical systems to exhibit the requir ed symmetry. The convergence lime of an orbit of the dynamical system is used to determine the colour of the initial point. A new and fast a lgorithm is also presented for the construction of the equivariant sys tem. This method is able to create a great variety of artistic symmetr ical patterns. (C) 1997 Elsevier Science Ltd.