File:Rotationskoerper animation.gif

Summary

Description
English: Representation of a rotation of a sine curve
Deutsch: Rotation einer Sinuskurve
Date
Source Own work
 
This diagram was created with Mathematica.
Category:PNG created with Mathematica#Rotationskoerper%20animation.gif
Author Macks
Permission
(Reusing this file)
Cc-by-sa-2.5

Code

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}]

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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.
Category:CC-BY-SA-2.5#Rotationskoerper%20animation.gif
Category:Self-published work

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Category:Animations of geometry Category:Animations of solids of revolution Category:Animated GIF files Category:Images with Mathematica source code
Category:Animated GIF files Category:Animations of geometry Category:Animations of solids of revolution Category:CC-BY-SA-2.5 Category:Images with Mathematica source code Category:PNG created with Mathematica Category:Self-published work