Wolfram Demonstrations Project

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

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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Loxodrome Art