DescriptionRotationskoerper animation.gif	English: Representation of a rotation of a sine curve Deutsch: Rotation einer Sinuskurve
Date	24 January 2007
Source	Own work  This diagram was created with Mathematica.
Author	Macks
Permission (Reusing this file)	Cc-by-sa-2.5

The animation was created with "Mathematica". Here is its code:

f[r_, \[Phi]_, z_] := {(2 + Sin[z])Cos[\[Phi]], (2 + Sin[z]) Sin[\[Phi]], z}
vase[\[Alpha]_] := 
   ParametricPlot3D[f[r, \[Phi], z], {z, 0, 2  Pi}, {\[Phi], 0, \[Alpha]}, 
     AspectRatio -> Automatic, PlotRange -> {{-3, 3}, {-3, 3}, {0, 6}}];
animation = Table[
     vase[\[Phi]],
     {\[Phi], 0.1, 2\[Pi], \[Pi]/12}];
Export["rotationskoerper_animation.gif", animation, 
 ConversionOptions -> {"AnimationDisplayTime" -> 0.1, "Loop" -> True}, 
 ImageSize -> {1000, 1000}]

I, the copyright holder of this work, hereby publish it under the following license:

This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic license.

You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

https://creativecommons.org/licenses/by-sa/2.5CC BY-SA 2.5 Creative Commons Attribution-Share Alike 2.5 truetrue

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