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Uniformizing dessins and Belyĭ maps via circle packing

About this Title

Philip L. Bowers and Kenneth Stephenson

Publication: Memoirs of the American Mathematical Society
Publication Year: 2004; Volume 170, Number 805
ISBNs: 978-0-8218-3523-4 (print); 978-1-4704-0406-2 (online)
MathSciNet review: 2053391
MSC: Primary 30F10; Secondary 14H55, 30F50, 52C26

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Table of Contents


  • 1. Introduction
  • 2. Dessins d’Enfants
  • 3. Discrete dessins via circle packing
  • 4. Uniformizing dessins
  • 5. A menagerie of dessins d’Enfants
  • 6. Computational issues
  • 7. Additional constructions
  • 8. Non-equilateral triangulations
  • 9. The discrete option
  • 10. Appendix: Implementation