the cracks – further exploration of the Maskit boundary between discrete and non-discrete groups in another slice of parameter space; identification and exploration of degenerate groups. Chapter 11. Crossing boundaries – ideas for further exploration, such as adding a third generator. Chapter 12. Epilogue – concluding overview of non-Euclidean geometry and Teichmüller theory. Importance Indra's Pearls is unusual because it aims to give the reader a sense of the development of a real-life mathematical investigation, rather than just a formal presentation of the final results. It covers a broad span of topics, showing interconnections among geometry, number theory, abstract algebra and computer graphics. It shows how computers are used by contemporary mathematicians. It uses computer graphics, diagrams and cartoons to enhance its written explanations. In the authors' own words: Our dream is that this book will reveal to our readers that mathematics is not alien and remote but just a very human exploration of the patterns of the world, one which thrives on play and surprise and beauty - Indra's Pearls p viii. References External links Indra's Pearls Web Site Mathematics books Conformal geometry Cambridge University Press books 2002 non-fiction books Kleinian groups