Re: Mathematica bug in Graphics3D ??

• To: mathgroup at smc.vnet.net
• Subject: [mg22234] Re: [mg22213] Mathematica bug in Graphics3D ??
• From: Hartmut Wolf <hwolf at debis.com>
• Date: Sat, 19 Feb 2000 01:33:34 -0500 (EST)
• Organization: debis Systemhaus
• References: <200002180734.CAA08264@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Axel Kowald schrieb:
>
> Hello,
>
> I'm using Mathematica 4.0.1.0 under NT4 and when I try:
>
> Show[Graphics3D[Polygon[{{2.5, Sqrt[3]/2, 0}, {3.5, Sqrt[3]/2, 0},
> {4, Sqrt[3], 0}, {3, 2*Sqrt[3], 0}, {2, 2*Sqrt[3], 0},
> {3, Sqrt[3], 0}} ]], Axes -> True]
>
> Mathematica draws a polygon with only 5 corners where the last point
> {3,Sqrt[3],0} is missing. Am I doing something wrong here or what is
> going on ?
>

Hallo Axel,

this is a problem encountered very often. When you name g1 to your
Graphics3D and then do (with some knowledge of the rainbow) ...

pp = Transpose[{Hue /@ (0.15 (Range[Length[g1[[1, 1]]]]-1)),
Point /@ g1[[1, 1]]}]
~Prepend~PointSize[0.05];

Show[g1, Graphics3D[pp]]

... you'll see that your last point of the Polygon lies within its
plane. So in cannot be closed correctly. Just move the points around
(keeping their cyclical order of course)

Show[RotateRight[g1, {0, 0, 1}], Graphics3D[pp]]

Kind regards, Hartmut

```

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