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This Demonstration shows the superellipse curve as a function of its parameters , , and .[more]
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.[less]
Contributed by: Peter Falloon (March 2011)
Open content licensed under CC BY-NC-SA