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Superhyperbola
The superhyperbola is the lesser-known sister of the superellipse.
When p= 2, the absolute value signs are unnecessary and the superellipse and superhyperbola reduce to the ellipse and hyperbola respectively. But unlike a rectangle with rounded corners, the change in curvature is continuous. Piet Hein used the prefix super – to refer to increasing the exponent from the usual value of 2.
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