28
Sep
04

Vibration Mode of a Spherical Membrane

Vibration Mode of a Spherical Membrane : This is a somewhat exaggerated example of how a spherical balloon might vibrate.

Vibration Mode of a Spherical MembraneMathematica 4.2, MathGL3d, 9/28/04

(* runtime: 4 seconds *)
Y := Re[SphericalHarmonicY[8, 4, theta, phi]]; r := (1 + 0.5Y);
ParametricPlot3D[{r Sin[theta] Cos[phi], r Sin[theta] Sin[phi], r Cos[theta], {EdgeForm[], SurfaceColor[Hue[Y]]}}, {theta, 0, Pi}, {phi, 0, 2Pi}, PlotPoints -> 72, Boxed -> False, Axes -> None]

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