Re: 3d graphs (parametric)

*To*: mathgroup at smc.vnet.net*Subject*: [mg13639] Re: 3d graphs (parametric)*From*: "Allan Hayes" <hay at haystack.demon.cc.uk>*Date*: Fri, 7 Aug 1998 08:56:02 +0100*References*: <6ps333$1f8@smc.vnet.net> <6qbqpt$a6j@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

cutforth craig f wrote in message <6qbqpt$a6j at smc.vnet.net>... >jason theiling wrote: > >> I am working on a project with Mathematica 3 for Win 95, and I was >> wondering if it is possible to do a 3D plot of some sorts that will >> involve 5 equations. Basicly, I have 3 motion (location) equations, 1 >> for time, and 1 for rotation/orientation of particle. Really, the >> equations are just parameters, but the program doesn't like that many >> of them, so I have been stuck with just plotting each equation >> individually. Maybe if I could do multiple graphs or something??? >> >> Any help would be great!! > > You could try using ParametricPlot. You will be able to plot two >parameters then as something varies. I have found nothing that allows >more than two functions in ParametricPlot. > > We can plot several lines with ParametricPlot, ParametricPlot3D - see *** below ?ParametricPlot "ParametricPlot[{fx, fy}, {t, tmin, tmax}] produces a parametric plot with x and y coordinates fx and fy generated as a function of t. ***ParametricPlot[{{fx, fy}, {gx, gy}, ... }, {t, tmin, tmax}] plots several parametric curves." ?ParametricPlot3D "ParametricPlot3D[{fx, fy, fz}, {t, tmin, tmax}] produces a three-dimensional \ space curve parametrized by a variable t which runs from tmin to tmax. \ ParametricPlot3D[{fx, fy, fz}, {t, tmin, tmax}, {u, umin, umax}] produces a \ three-dimensional surface parametrized by t and u. ParametricPlot3D[{fx, fy, \ fz, s}, ... ] shades the plot according to the color specification s. \ ***ParametricPlot3D[{{fx, fy, fz}, {gx, gy, gz}, ... }, ... ] plots several \ objects together." As you see we can also plot several surfaces with ParametricPlot3D, but we can't mix lines and surfaces. Allan ------------------------------------------------------------- Allan Hayes Training and Consulting Leicester UK http://www.haystack.demon.co.uk hay at haystack.demon.co.uk voice: +44 (0)116 271 4198 fax: +44(0)116 271 8642