Wolfram Demonstrations Project

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

, and

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.

Contributed by: Peter Falloon

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Visualizing Superellipses