Automatic generation of hyperbolic drawings

摘要

So far the amount of artistically interesting drawings similar to Circle Limit I-IV is very limit. Still a few examples created by M.C. Escher are the outstanding hyperbolic arts. Based on hyperbolic geometry and computer graphics techniques, this article presents an easily-reproducible approach to generate drawings similar to Circle Limit I-IV. To create more kinds of elegant hyperbolic drawings, several conformal mappings are proposed to transform disc drawings into some special domains. The method can be used to create a great variety of hyperbolic drawings.