[Date Index]
[Thread Index]
[Author Index]
Re: Cropping a surface to a sphere
*To*: mathgroup at smc.vnet.net
*Subject*: [mg88246] Re: Cropping a surface to a sphere
*From*: Szabolcs Horvát <szhorvat at gmail.com>
*Date*: Tue, 29 Apr 2008 06:51:01 -0400 (EDT)
*Organization*: University of Bergen
*References*: <fv1ff5$es6$1@smc.vnet.net> <fv42fb$5q4$1@smc.vnet.net>
David Park wrote:
>
> Here is a second version of the surface cropped to a sphere using a number
> of options.
>
> ContourPlot3D[-x^4 y^2 + x^2 y^4 + x^4 z^2 - y^4 z^2 - x^2 z^4 +
> y^2 z^4 == 1, {x, -3, 3}, {y, -3, 3}, {z, -3, 3},
> RegionFunction -> Function[{x, y, z, f}, x^2 + y^2 + z^2 <= 9],
> ContourStyle -> {FaceForm[ColorData["Legacy"]["DarkSeaGreen"],
> GrayLevel[.7]]},
> PlotPoints -> 25,
> Mesh -> False,
>
> (* Use white lights instead of colored lights *)
> Lighting -> "Neutral",
> Axes -> False,
> Boxed -> False,
>
> (* The following options provide a smooth rotation with the mouse *)
> SphericalRegion -> True,
> RotationAction -> Clip,
>
> (* The following option causes the plot to fill the viewing area *)
> PlotRegion -> {{-.3, 1.3}, {-.3, 1.3}},
> Background -> ColorData["Legacy"]["LightBeige"],
> ImageSize -> 500]
>
> It's not clear that we need the bounding box or the axes. We might just say
> it is the surface out to a radius of 3. The colored lights add nothing to
> the plot. They only introduce confusion so we use Neutral lighting. We then
> use the ContourStyle option to give different colors to the inside and
> outside of the surface. If you don't like the image jumping around when you
> use the mouse to rotate, you can use the SphericalRegion and RotationAction
> options. The PlotRegion option gives us an initial view such that the object
> fills the viewing area. You can also use the mouse zoom function to control
> this. Then we use a Background to tone down the plot and ImageSize to
> control the initial size. There are many other options that might be used.
>
> I hope you will agree that this is a much better presentation of the surface
> than my previous reply without all the options.
This looks very nice indeed---thank you for this demonstration of how to
make great looking graphics!
and sorry for not paying attention to the obviously outstanding option
RegionFunction ...
Prev by Date:
**Re: Question about OneIdentity**
Next by Date:
**Re: Common Multiple Value Question**
Previous by thread:
**Re: Cropping a surface to a sphere**
Next by thread:
**delayed function assignment**
| |