Butterfly curve (transcendental)

The butterfly curve is a transcendental plane curve discovered by Temple H. Fay of University of Southern Mississippi in 1989.

[1] The curve is given by the following parametric equations:[2] or by the following polar equation: The sin term has been added for purely aesthetic reasons, to make the butterfly appear fuller and more pleasing to the eye.

[1] In 2006, two mathematicians using Mathematica analyzed the function, and found variants where leaves, flowers or other insects became apparent.

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