Color grid with x and y args to visualize effects of 2D transformations?

*To*: mathgroup at smc.vnet.net*Subject*: [mg116559] Color grid with x and y args to visualize effects of 2D transformations?*From*: "Christopher O. Young" <cy56 at comcast.net>*Date*: Sat, 19 Feb 2011 05:15:42 -0500 (EST)

I'm trying to get a simple kind of color chart function that I can pass x and as arguments to. I want to have it running across by hue and up by saturation and value. This is to illustrate 2D transformations, so I need to have arguments that I can _inversely_ transform in order to illustrate the effects of 2D transformations, whether linear or not. One direct approach would seem to have nested loops, but I can't see how to do this if the body of the For loop in Mathematica is part of the function. Any help getting a "jump start" in this kind of thing would be a huge help to me. For[i = 0, i < 10, i++, For[j = 0, j < 10, j++, RegionPlot[(i < x < i + 1) && (j < y < j + 1), {x,0,10}, {y,0,10}] ] ] Chris Young cy56 at comcast.net