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Re: Mathematica Animations by High School Students

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  • Subject: [mg102038] Re: Mathematica Animations by High School Students
  • From: Alexei Boulbitch <Alexei.Boulbitch at>
  • Date: Mon, 27 Jul 2009 05:55:54 -0400 (EDT)

One minor aggravation in all this: I find it baffling that exporting an 
animation from Animate or Manipulate from Mathematica into any video 
format results in the animation running forward and then backward. I 
have not found any way to get it to export so that it runs once in the 
forward direction only. The kids' animations look OK going forward and 
back, but there some things we would really like to run in one direction 
only. AnimationDirection->Forward doesn't do anything when you export, 
as far as I can tell.

Helen Read
University of Vermont

Dear Helene,

This problem I solved by saving as a movie a list of images, rather than Animate or Manipulate. Just as an example have a look at the following:

(* This is the function to show animated *)
z2[x_, y_] := (1 - 0.62*y/Power[x^2 + y^2, (4)^-1])*
   Exp[-0.15*Sqrt[x^2 + y^2]];      

(* This is its graph depending upon paramete v *)              
image[v_] := 
  Plot3D[3*z2[x, y]*(1 - v^2)*Exp[-0.15*x*v], {x, -10, 4}, {y, -4, 
    4}, PlotStyle -> {Opacity[0.9]}, 
   PlotRange -> {{-10, 4}, {-4, 4}, {0, 5}}, 
   ColorFunction -> "Rainbow"];

(* This is the list of graphs *)
a3 = Table[image[v], {v, 0, 1, 0.025}];

(* and the avi file  *)
Export["Full_trajectory\a3.avi", a3, "FrameRate" -> 3]

It has its own drawback: the movie is not smooth. However, one may increase the number of steps and the FrameRate, increasing the file volume, of coarse.

Regards, Alexei

Alexei Boulbitch, Dr., habil.
Senior Scientist

ZAE Weiergewan
11, rue Edmond Reuter
L-5326 Contern

Phone: +352 2454 2566
Fax:   +352 2454 3566


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