Superellipse
Family of closed mathematical curves
Superellipse
A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but defined by an equation that allows for various shapes between a rectangle and an ellipse. In two dimensional Cartesian coordinate system, a superellipse is defined as the set of all points (x, y) on the curve that satisfy the equation | x a | n + | y b | n = 1 , {\displaystyle \left|{\frac {x}{a}}\right|^{n}\!\!+\left|{\frac {y}...
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