Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology. Besides specialists of these domains, many specialists of new domains start to show a growing interestboth to hyperbolic geometry and to cellular automata. This is especially the case in biology and computer science.
This book gives the reader a deep and efficient introduction to an algorithmic approach to hyperbolic geometry. It addresses the issue of universality in an unconventional model of computation, that of cellular automata in hyperbolic spaces.
Why hyperbolic geometry?.- Cellular automata and the railway model.- Inthepentagrid.- In the heptagrid.- In the tilings.- In the dodecagrid.- Strongly universal hyperbolic cellular automata.- The help of programming.