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About the Cover

Cover Figure


COVER To prove the Poincaré Conjecture, Grigori Perelman used the equations for Ricci flow--a procedure for transforming irregular spaces into uniform ones. In this two-dimensional example, the equations prescribe that negatively curved regions (blue) must expand while positively curved regions (red) contract. Over time, the original dumbbell-shaped surface evolves into a sphere. See the Breakthrough of the Year special section beginning on page 1848. Image: Cameron Slayden/cosmocyte.com, based on data provided by Robert Sinclair

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Science. ISSN 0036-8075 (print), 1095-9203 (online)