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, e...
Found on
http://en.wikipedia.org/wiki/Superellipse
A Lamé curve, described by the formula -x/a-
n + -y/b-
n = 1, for which n > 2. Superellipses have a form partway between an ellipse and a rounded rectangle (or, if a = b, partway between a circle and a rounded square). The Danish poet and architect Piet ...
Found on
http://www.daviddarling.info/encyclopedia/S/superellipse.html
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