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R. Penner (1987)
The decorated Teichmüller space of punctured surfacesCommunications in Mathematical Physics, 113
W. Abikoff (1984)
THE GEOMETRY OF DISCRETE GROUPS (Graduate Texts in Mathematics)Bulletin of The London Mathematical Society, 16
(1988)
Euclidean decompositions of non-compact hyperbolic manifolds
(1987)
PENNER, 'The decorated Teichmiiller space of punctured surfaces
M. Näätänen (1985)
On the stability of identification patterns for Dirichlet regions, 10
(1988)
PENNER, 'Euclidean decompositions of non-compact hyperbolic manifolds
(1983)
BEARDON, The geometry of discrete groups, Graduate Texts in Math
We describe the construction of Dirichlet domains for a closed surface in terms of a convex hull construction in Minkowski space. The equations governing this construction are found to be analogues of Ptolemy's theorem on cyclic Euclidean quadrilaterals.
Bulletin of the London Mathematical Society – Wiley
Published: Nov 1, 1991
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