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Outline
Modeling the Shape of an Egg
Not Quite an Ellipse
Descartes Oval
Cassini Oval
Tweaked x-Coordinates
Pieces of Circles?
Modeling the Shape of an Egg
Author:
I-Heng McComb
Exploration of five models for the oval shape of an egg....
Table of Contents
Not Quite an Ellipse
Meet Our Egg
Ellipse Model: Implicit Cartesian Equation (Transformed Circle)
Ellipse: Locus Relative to Foci
Ellipse: Polar Parametric Equations
Descartes Oval
Descartes Oval: Geometric Construction
Descartes Oval: Locus Relative to Foci
Cassini Oval
Cassini Oval: Locus Relative to Foci
Cassini Oval: Implicit Cartesian Equation
Cassini Oval: Polar Parametric Equations
Tweaked x-Coordinates
Adjusted Ellipse: Polar Parametric Equations
Pieces of Circles?
Curvature Modeling
Next
Meet Our Egg
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