Super Ellipse

A SuperEllipse is a curve with (Cartesian) equation:

|(x/a)|^r + |(y/b)|^r = 1


A SuperEllipse can also be described as:

x = a cos^(2/r) t = a (cos t)^(2/r)
y = b cos^(2/r) t = b (cos t)^(2/r)


PietHein called the curve with r = 5/2 and a = b "the" superellipse.

See also:

• http://mathworld.wolfram.com/Superellipse.html
• http://www.2dcurves.com/power/powerse.html

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CategoryMath