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Loxodrome Art

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The parametric equation of a loxodrome on the unit sphere can be expressed as . This family of curves is parametrized by and . In this Demonstration, you can continuously vary the parameter and see curves obtained by using values of the parameter spaced evenly from to .

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Varying the parameter or the number of curves , or changing the range of the bearing angle , yields some interesting artistic images.

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Contributed by: Erik Mahieu (April 2012)
Open content licensed under CC BY-NC-SA

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