The knot curve is a quartic curve with implicit Cartesian equation
(1)
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The - and -intercepts are , , and . It has horizontal tangents at and ), and vertical tangents at .
Its curvature is implicitly given by
(2)
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The areas enclosed by a side region and by the center region are given by
(3)
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(4)
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giving the entire area as
(5)
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(6)
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