Abstract
We develop a set of natural coordinates (α, β) on the moduli space of Euclidean tori using the combinatorial structure of circle packings. Surfaces with rational coordinates support Brooks packings, while surfaces with rational a and irrational β coordinates support generalized Brooks packings with periodic singularities.
Original language | English |
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Pages (from-to) | 2577-2585 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 139 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2011 |
Keywords
- Circle packing
- Moduli space