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Re: four dimensional plot

• To: mathgroup at smc.vnet.net
• Subject: [mg91520] Re: four dimensional plot
• From: "David Park" <djmpark at comcast.net>
• Date: Mon, 25 Aug 2008 05:06:19 -0400 (EDT)
• References: <g8rfei$f9h$1@smc.vnet.net>

You didn't give us any information as to what the function was or in what 
sense the plot 'didn't work well'.

With a complicated numerical function f[x,y,z] it may be very difficult to 
obtain a picture because it might be quite oddly 'shaped' and the 
Mathematica plotting routine might miss important details. In a 3D contour 
plot it might be difficult to pick suitable contours or a suitable plot 
domain and range.

So you may have to use simpler graphics or even tables to 'explore' the 
function before you can obtain a good graphical representation. You could, 
for example take slices of the function by fixing z and using a 
2-dimensional contour plot or Plot3D.

Depending on the nature of the function, it may take a number of 
representations to obtain an adequate understanding of its behavior. Simply 
trying to do a quick 'set-piece' plot of a complicated function will often 
fail.

-- 
David Park
djmpark at comcast.net
http://home.comcast.net/~djmpark/


"shingo" <shingo.yoshimura at gmail.com> wrote in message 
news:g8rfei$f9h$1 at smc.vnet.net...
> Hi guys. I have some troubles in plotting.
> I'd like to plot the value of the function $f(x,y,z)$. This function
> $f$ can be evaluated only by numerically. I tried to use the built-in
> function "ListContourPlot3D", but it didn't work well. If you have any
> advices, please give it to me. Thanks in advance.
>
> shingo
>