Path: utzoo!utgpu!news-server.csri.toronto.edu!dgp.toronto.edu!stam
Newsgroups: comp.graphics
From: stam@dgp.toronto.edu (Jos Stam)
Subject: Re: parametric torus
Message-ID: <1991Mar6.122630.23282@jarvis.csri.toronto.edu>
References: <1991Mar06.140402.11231@truevision.com>
Date: 6 Mar 91 17:26:31 GMT
Lines: 17

bobz@truevision.com (Bob Zigon) writes:

>Can a torus be represented as a parametric equation? If so,
>does anyone have the definition?

Sure it can. Each point on the torus can be defined by two angles. Let r
be the radius of the cross-section of the torus and R be the radius of the
torus. I will assume that the torus lies in the x-y plane. The parametric
equation is then:

x(a,b) = cos(a)(R+cos(b)r)
y(a,b) = sin(a)(R+cos(b)r)
z(a,b) = sin(b)r

with a and b in the range [0,2\pi)
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Jos