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Parallel Curves, Surfaces, and Evolutes
Author

Adrian Mariano
Organization: The Geometry Center, University of Minnesota
Old MathSource #

0205-119
Revision date

1999-05-13
Description

This package draws pictures related to parallel curves. If gamma is a parametrically defined curve, and N is its normal, then the parallel curves are (gamma + r N) where r is a scalar. The evolute is defined as (gamma + N/kappa) where kappa is the curvature of gamma. The evolute is the set of all the cusps in all the parallel curves. It is also the envelope of the lines normal to the curve.
Subjects

*Mathematica Technology > Programming > 2D Graphics
*Mathematica Technology > Programming > 3D Graphics
*Mathematics > Geometry > Plane Geometry
*Mathematics > Geometry > Solid Geometry
Keywords

Pure Mathematics, Pure Math, geometry, parallel curves, parallel surfaces, evolute, envelope, 2D graphics, 3D graphics
Related items

*Caustic Calculations   [in MathSource: Packages and Programs]
Downloads Download Wolfram CDF Player

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README.txt (3.2 KB) - Author's notes and documentation
Download
ParallelCurves.m (11.3 KB) - Mathematica package

Files specific to Mathematica 2.2 version:
Download
ParallelCurves.m (10.5 KB) - Mathematica package