AW: RE: 4-D plot?

*To*: mathgroup at smc.vnet.net*Subject*: [mg44180] AW: [mg44155] RE: [mg44118] 4-D plot?*From*: Matthias.Bode at oppenheim.de*Date*: Sat, 25 Oct 2003 06:26:32 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Hello Sheth, an additional idea for the representation of the fourth dimension might be to 1. find an interpolating function for your data (X = f(a, b, c) then use 2. <<Graphics`ContourPlot3D` I was able to show the value ("X") of financial instruments whose value depends on three variebles ("a", "b", "c") - at least I believed to have understood it. Best regards, Matthias Bode Sal. Oppenheim jr. & Cie. KGaA Koenigsberger Strasse 29 D-60487 Frankfurt am Main GERMANY Tel.: +49(0)69 71 34 53 80 Mobile: +49(0)172 6 74 95 77 Fax: +49(0)69 71 34 95 380 E-mail: matthias.bode at oppenheim.de Internet: http://www.oppenheim.de -----Ursprungliche Nachricht----- Von: David Park [mailto:djmp at earthlink.net] Gesendet: Freitag, 24. Oktober 2003 10:25 An: mathgroup at smc.vnet.net Betreff: [mg44155] RE: [mg44118] 4-D plot? Sheth, Mathematica can't make straight 4-D plots anymore than any one else can. So you would have to resort to various other methods to present the data. What method is best depends very strongly on the nature of the actual data itself. 1) You could make a 3D plot of color coded points. That is, {a,b,c} would give the coordinates of the point and the X value would be coded in the color of the point. This might be more effective if you grouped the X-values into 2 or 3 bands so that there were only 2 or 3 colors, and if the high and low values were spatially separated. You could rotate the 3D plot to obtain a better view. 2) You could use multiple images. If the plot in (1) were too cluttered you might make a separate plot for each group of X-values. Or you might group c-values and make a series of a-b-X plots for each c-group. Again, what works best depends very strongly on the nature of the actual data and the relationships you are trying to illustrate. 3) Instead of multiple images you could use an animation. If you have only a small set of data a table might be better than any graphical presentation. David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ From: Sheth, Payal R. [mailto:prsheth at utmb.edu] To: mathgroup at smc.vnet.net Can anyone help me with a plot I am trying to generate? I am trying to plot changes in values of x with respective to three different variables a, b, c. The data looks something like this..Does Mathematica have any function which would allow plotting of this set of data? Any help would be appreciated. Thanks much a b c X 5 1 10 0.005 10 1 5 0.015 100 100 1 0.5 10 10 5 0.1