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}]
>
>   ]
>
> ]

```

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