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Re: Creating animated 3d graphic in Mathematica for export

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  • Subject: [mg93428] Re: Creating animated 3d graphic in Mathematica for export
  • From: Alexei Boulbitch <Alexei.Boulbitch at>
  • Date: Fri, 7 Nov 2008 06:02:04 -0500 (EST)

Hi, Mark,
I am copying here a code that I used for the same purposes with Plot3D.

Going to 3D ListPlot should be straightforward. 

(* This is a z=z(x,y) function  to show *)

z[x_, y_] :=
  Exp[-(Sqrt[x^2 + y^2]/Power[4, (3)^-1]) +
    Power[4, (3)^-1]*Sqrt[1/2*(Sqrt[x^2 + y^2] + x)]];

(*and its graph*)

pl1 = Plot3D[2*z[x, y], {x, -5, 5}, {y, -5, 5},
   PlotStyle -> {Opacity[0.8]}, ColorFunction -> "Rainbow",
   Mesh -> None, Boxed -> False, ImageSize -> 500];

(* here a graphics array is made. In this place one may play with the 
rotation angle (here it is 4 degrees) and choose the axis of rotation in 
the expression Rotate[pl1[[1]], 4*i*Degree, {0, 0, 1}] *)

Do[gr[i_] :=
    Rotate[pl1[[1]], 4*i*Degree, {0, 0, 1}],
    PlotRange -> {{-5, 5}, {-5, 5}, {0, 6}}, Boxed -> False ],
  {i, 0, 1440, 1}

(* and a table entitled "v" out of it (of coarse may be also done in one 
step), the parameter to play in this place is the number of steps, which 
is 90=360/4 here *)

v = Table[gr[i], {i, 0, 90, 1}];

(*Here it is exported into an avi file. The parameter to play with is 
the frame rate*)

Export[""Full_trajectory_to_the_file\v.avi", v, "FrameRate" -> 5]

Have fun :-) , Alexei


I'm attempting to create a simple animation of a 3D ListPlot. In the
animation I'd like to simply rotate the graphic continuously and
automatically (no user input), and then export this animation into a
common video format (MPEG or Quicktime). Does anyone have an example of



Alexei Boulbitch, Dr., Habil.
Senior Scientist

ZAE Weiergewan
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