Famous Curves:  National Curve Bank Deposit #38

This collection of 62 famous curves, with equations and code, was created by Gustavo Gordillo as an undergraduate project.  He used Mathematica 4.0 for Students.  Gus is now a member of the faculty at Verdugo Hills High School, Verdugo Hills, CA.

Image Index

Animation Index

Special thanks to Famous Curves Index at http://www-history.mcs.st-and.ac.uk/history/Curves/Curves.html

Necessary Packages Back

Astroid Back

Bicorn Back

Cardiod Back

Cartesian Oval Back

Cassinian Ovals Back

Catenary Back

Cayley's Sextic Back

Circle Back

Cissoid of Diocles Back

Cochleoid Back

Conchoid Back

Conchoid of de Sluze Back

Cycloid Back

Devil's Curve Back

Polar:  (Special case)

Double Folium Back

Dürer's Shell Curves Back

Eight Curve Back

Ellipse Back

Epicycloid Back

Epitrochoid Back

Equiangular Spiral Back

Fermat's Spiral Back

Polar:  θ

Folium Back

Folium of Descartes Back

Freeth's Nephroid Back

Frequency Curve Back

Hyperbola Back

Hyperbolic Spiral Back

Hypocycloid Back

Hypotrochoid Back

Involute of a Circle Back

Kampyle of Eudoxus Back

Kappa Curve Back

Lamé Curves Back

Lemniscate of Bernoulli Back

Limacon of Pascal Back

Lissajous Curves Back

Lituus Back

Neile's Parabola Back

Nephroid Back

Newton's Parabolas Back

Parabola Back

Pearls of de Sluze Back

Pear-shaped Quartic Back

Plateau Curves Back

Pursuit Curve Back

Quadratrix of Hippias Back

Rhodonea Curves Back

Right Strophoid Back

Serpentine Back

Sinusoidal Spirals Back

Spiral of Archimedes Back

Spiric Sections Back

Straight Line Back

Talbot's Curve Back

Tractrix Back

Tricuspoid Back

Trident of Newton Back

Trifolium Back

Trisectrix of Maclaurin Back

Tschirnhaus' Cubic Back

Watt's Curve Back

Witch of Agnesi Back

Gabriel's Horn Back

Mobius Strip Back

Upside-Down Shell Back