How can I generate this graphic?

*To*: mathgroup at smc.vnet.net*Subject*: [mg113584] How can I generate this graphic?*From*: Vicent <vginer at gmail.com>*Date*: Wed, 3 Nov 2010 02:56:38 -0500 (EST)

Hello to all. I want to make you a question about how to plot a specific graphic with Mathematica 7.0. I have a function "myfunc" defined on two discrete variables, say x and y. And I want to represent graphically "myfunc". I can generate some graphics with ListPlot3D and ListContourPlot that are close to what I want, but in both cases there is an interpolation, which is OK but it is not necessary, and I would like to be able to generate a graphic (2D or 3D) without any interpolation. More precisely, I would like to generate a 2D graphic, the X and Y axis representing the discrete variables x and y, respectively, with a "point" (or "big square") for each integer combination of (x, y), the color of the point being related with the value of myfunc(x,y) . I mean, the greater the value of myfunc(x,y) is, the lighter (or whatever) the color of the associated point is. It would be like a kind of "ListContourPlot", but without interpolating. I have data arranged in this way: DataForPlotting = Table[myfunc[x, y], {x, 1, 20, 1}, {y, 1, 20, 1}] but of course I could do it in another way if necessary. This is an image of what I want to achieve: http://dl.dropbox.com/u/155485/discrete_contour_plot.png . In case you can't access it, please let me know it. I think it can be possible to build a graphic similar to that one with Mathematica, but I am not sure of the easiest (or more logical or more practical) way to do it, as I am just a beginner. So, I would appreciate your help in this point. Thank you very much in advance for your help! -- Vicent Giner-Bosch