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Re: Beginner's clothoid

• To: mathgroup@smc.vnet.net
• Subject: [mg10718] Re: [mg10669] Beginner's clothoid
• From: Alfred Gray <gray@hypatia.umd.edu>
• Date: Mon, 2 Feb 1998 00:44:14 -0500

You can look up the clothoid in my book:

Modern Differential Geometry of Curves and Surfaces, Second Edition.

The Mathematica programs for the book are available via anonymous ftp
from bianchi.umd.edu.  In particular, the parametrization using NDSolve
plots much faster than the one (equivalent to yours) using Fresnel
Integrals.

Alfred Gray

%%%%%%%%%%%%%%%%%%%%%%%%%%
Visit the galleries of surfaces and curves: http://bianchi.umd.edu

Just published: Modern Differential Geometry of Curves and Surfaces,
Second Edition.  CRC Press, December 1997.

On Fri, 30 Jan 1998, Hans van Maanen wrote:

> Hi all,
> 
> I wonder if someone here can help me. I don't know too much about
> Mathematica, but I need to draw a clothoid, aka as Euler's spiral.
> 
> The equations are something like this ...
> 
> x = Integrate[Cos[s^2],s]
> y = Integrate[Sin[s^2],s]
> 
> ... but I don't know how to go from there.
> 
> Any help greatly appreciated!
> 
> Hans van Maanen
> Amsterdam -- NL
> 
>