Re: 3D graphics domain

• To: mathgroup at smc.vnet.net
• Subject: [mg55806] Re: 3D graphics domain
• From: dh <dh at metrohm.ch>
• Date: Wed, 6 Apr 2005 03:12:10 -0400 (EDT)
• References: <d2tesa\$qj2\$1@smc.vnet.net> <d2tnns\$nr\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Hi,
Bobby pointed out that in the definition of s[] the <= and >= have been
wrongly replaced by =. The correct code is therefore:

f[x_, y_] = -64*x +  320*(x^2) - 512*(x^3) + 256*(x^4) + 20*y - 64*x*y
+ 64*(x^2)*y - 4*(y^2);
s[x_, y_] = If[(y <= 4*x*(1 - x)) && (y >= 4*x*(1 - 2x)) && (y >= 4*(x -
1)*(1 - 2x)), Hue[1], Hue[0.5]];
Plot3D[{f[x, y], s[x, y]}, {x, 0, 1}, {y, 0, 1}, PlotPoints -> 50]

dh wrote:
> Hi Dick,
> you may simply plot your function on a rectangular region and color the
> valid region differently. E.g.:
>
> f[x_, y_] = -64*x +  320*(x^2) - 512*(x^3) + 256*(x^4) + 20*y - 64*x*y +
> 64*(x^2)*y - 4*(y^2);
> s[x_, y_] = If[(y = 4*x*(1 - x)) && (y = 4*x*(1 - 2x)) && (y = 4*(x -
> 1)*(1 - 2x)), Hue[1], Hue[0.5]];
> Plot3D[{f[x, y], s[x, y]}, {x, 0, 1}, {y, 0, 1}, PlotPoints -> 50]
>
> Sincerely, Daniel
>
>
> Richard Bedient wrote:
>
>>Thanks to Bob and Dan for helping me get this far. Again, I've exhausted
>>my Mathematica knowledge along with anything I can find in the Help
>>files.  I now need to take the function they found for me and graph it
>>in 3D over a restricted domain. Here's the problem:
>>
>>Graph the function
>>
>>f(x,y) = -64*x + 320*(x^2) - 512*(x^3) + 256*(x^4) + 20*y - 64*x*y +
>>64*(x^2)*y - 4*(y^2)
>>
>>over the domain:
>>
>>y <= 4*x*(1-x)
>>y >= 4*x*(1 - 2x)
>>y >= 4*(x - 1)*(1 - 2x)
>>
>>Thanks for any help.
>>
>>Dick
>>
>
>

```

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