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单词 Superellipse
释义

Superellipse

A curve of the form


where . ``The'' superellipse is sometimes taken as the curve of the above form with . Superellipses with are also known as Lamé Curves. The above curves are for , , and , 3.0,and 3.5.


A degenerate superellipse is a superellipse with . The above curves are for , , and , 1.0, 1.5,and 2.0.

See also Ellipse, Lamé Curve, Superegg


References

Gardner, M. ``Piet Hein's Superellipse.'' Ch. 18 in Mathematical Carnival: A New Round-Up of Tantalizers and Puzzles from Scientific American. New York: Vintage, 1977.


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