Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A superellipse (or Lamé curve) is a geometric figure defined in the Cartesian coordinate system as the set of all points (x, y) with \left \frac{x}{a}\right ^n\! + \left \frac{y}{b}\right ^n\! = 1 where n, a and b are positive numbers.This formula defines a closed curve contained in the rectangle a x +a and b y +b. The parameters a and b are called the semi-diameters of the curve.When n is between 0 and 1, the superellipse looks like a four-armed star with concave (inwards-curved) sides. For n = 1/2, in particular, the sides are arcs of parabolas.