3D Curvature Example: Tornado

The "tornado" r(t)=< 2t cos(10πt), 2t sin(10πt), t >,
0 ≤ t ≤ 1
  • Yellow: Osculating Circle

Move the mouse pointer over the picture to begin the animation. It repeats in an endless loop. You can use the following controls:

  • Click+Drag: rotate the image
  • Shift+Click+Drag Up/Down: zoom in/out
  • Home: reset the image
  • Double Click: stop/restart the animation. When it's stopped, you can click on the point and drag it along the curve.

Created using Mathematica and LiveGraphics3D.

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