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Superellipse:
x = acos^(2/r)t
y = bsin^(2/r)t
In Lamé Curves, a = b
By Kshitij Gupta, Gianmarco Guzman, and Philip Wang
The superellipse is a curve that was named after a Danish Poet and Mathematician Piet Hein.
The Lamé curve is actually just a more specific name for a 'Superellipse'. The curve was officially named after Gabriel Lamé.