An embedded genus-one helicoid.
basic_science · Level V
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- Record sourced from PubMed, PMID 16269540.
- Also identified by PMC identifier 1283835.
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Abstract
There exists a properly embedded minimal surface of genus one with a single end asymptotic to the end of the helicoid. This genus-one helicoid is constructed as the limit of a continuous one-parameter family of screw-motion invariant minimal surfaces, also asymptotic to the helicoid, that have genus equal to one in the quotient.