Hyperbolic Tessellations and Fundamental Groups

  • H. S. M. Coxeter
  • W. O. J. Moser
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 14)


After describing the regular tessellations {p, q} (which are simply-connected topological polyhedra), we shall derive the fundamental groups (§ 3.5, p. 24) for closed surfaces of arbitrary characteristic. From the present standpoint, non-orientable surfaces are easier than orientable surfaces; accordingly, we consider them in this unusual order.


Fundamental Group Orientable Surface Hyperbolic Plane Fundamental Region Adjacent Side 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1972

Authors and Affiliations

  • H. S. M. Coxeter
  • W. O. J. Moser

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