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Hoffman's Minimal Surface

A minimal embedded surface discovered in 1992 consisting of a helicoid with a Hole and Handle (Science News 1992). It has the same topology as a punctured sphere with a handle, and is only the second complete embedded minimal surface of finite topology and infinite total curvature discovered (the Helicoid being the first).

A three-ended minimal surface of Genus 1 is sometimes also called Hoffman's minimal surface (Peterson 1988).

See also Helicoid


Peterson, I. Mathematical Tourist: Snapshots of Modern Mathematics. New York: W. H. Freeman, pp. 57-59, 1988.

``Putting a Handle on a Minimal Helicoid.'' Sci. News 142, 276, Oct. 24, 1992.

© 1996-9 Eric W. Weisstein