Re: 3D-Plots: Coloring edges (simple)

• To: mathgroup at smc.vnet.net
• Subject: [mg26713] Re: 3D-Plots: Coloring edges (simple)
• From: "Allan Hayes" <hay at haystack.demon.co.uk>
• Date: Thu, 18 Jan 2001 00:57:17 -0500 (EST)
• References: <943dn4\$cju@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Some suggestions:

gr1 = ParametricPlot3D[{x, y, x y}, {x, -1, 1}, {y, -1, 1}]

The following will color the edges by average height of the polygon
vertices.

gr1 /. pl : Polygon[p_] :>
{EdgeForm[Hue[Plus @@ p[[All, 3]]/4]], pl} // Show

SurfaceGraphics objects, sg, generated by Graphics3D can be converted to
Graphics3D objects by Graphics3D[sg].

We can construct edges as lines and then manipulate the lines:

Show[gr1 /. Polygon[p_] :>
{Hue[Plus @@ p[[All, 3]]/4],
Line[Append[p, Last[p]]]
}]

--
Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

<24stoffel at my-deja.com> wrote in message news:943dn4\$cju at smc.vnet.net...
>
>
>  I need to color the edges of a 3D-Plot according
>  to a predefined ColorFunction, pretty much the
>  same way as it works for the surface itself,
>  e.g. ColorFunction->(Hue[1-#*0.45]&).
>
>  How can one apply this function to the edges
>  only because MeshStyle->(Hue[1-#*0.45]&)
>  or so obviously doesn't work. It certainly
>  can be done because one of the color charts
>  in the Mathematica book has a Klein bottle
>  colored like this.
>
>  Thanks a lot in advance.
>
>  Stoffel
>  Email: ch_karner at yahoo.com
>
>
> Sent via Deja.com
> http://www.deja.com/
>

```

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