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superellipse
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superellipse

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Also known as Lamé curve

300px|thumb|Examples of superellipses for , .

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Superellipse
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Superellipse
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~13 min read

Article

14 sections
Contents
  • Specific cases
  • Mathematical properties
  • Area
  • Perimeter
  • Pedal curve
  • Generalizations
  • Higher dimensions
  • Different exponents
  • Related shapes
  • Anisotropic scaling
  • History
  • See also
  • References
  • External links

300px|thumb|Examples of superellipses for , .

A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but defined by an equation that allows for various shapes between a rectangle and an ellipse.

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