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Visualizing Superellipses

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This Demonstration shows the superellipse curve as a function of its parameters , , and .

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The superellipse has parametric equations , , for in the first quadrant (, ); multiplying by gives the equations for the curve in the other quadrants.

The special case gives an ellipse; the further restriction gives a circle.

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Contributed by: Peter Falloon (March 2011)
Open content licensed under CC BY-NC-SA

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