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.
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- W. Thurston,The finite Riemann mapping theorem, 1985, Invited talk, An International Symposium at Purdue University on the occasion of the proof of the Bieberbach conjecture, March 1985.Google Scholar
© Hebrew University of Jerusalem 2003