Re: Color grid with x and y args to visualize effects of 2D

*To*: mathgroup at smc.vnet.net*Subject*: [mg116574] Re: Color grid with x and y args to visualize effects of 2D*From*: "Christopher O. Young" <cy56 at comcast.net>*Date*: Sun, 20 Feb 2011 05:26:21 -0500 (EST)*References*: <ijo588$lk8$1@smc.vnet.net>

http://home.comcast.net/~cy56/GridViaGC.png has a picture of how simple this is to do in the about-to-be-released version of Graphing Calculator. On 2/19/11 5:15 AM, in article ijo588$lk8$1 at smc.vnet.net, "Christopher O. Young" <cy56 at comcast.net> wrote: > 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}] > > ] > > ]