Noncompact surfaces are packable
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We show that every noncompact Riemann surface of finite type supports a circle packing. This extends earlier work of Robert Brooks  and Phil Bowers and Ken Stephenson [3, 4], who showed that the packable surfaces are dense in moduli space.
KeywordsRiemann Surface Fundamental Domain Finite Type Circle Packing Closed Chain
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© Hebrew University of Jerusalem 2003