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The example of thelemniscatediscussed in the context of the parametric approach introduces a new idea in the level set approach of fattening of the interface.
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The name comes from the shape its centrallemniscatetakes when graphed.
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Hence, it will not look like alemniscate, making the name something of a misnomer.
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Notationally, we would replace "n" above by thelemniscate.
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The shape is named after the juggling game diabolo, which involves two sticks, a string, and a spinning prop in the likeness of thelemniscate.
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In mathematics, a polynomiallemniscateor "polynomial level curve" is a plane algebraic curve of degree 2n, constructed from a polynomial "p" with complex coefficients of degree "n".
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