Are you interested in showing your 3D chops?
Have a look at this:
This was generated by this:
But what are looking to have built, is a multi-colored 3D version of this:
But instead of two White and Black stripes, we are looking for three stripes, a White, a Black, and a third randomly selected color, so that the color fill is done at runtime.
A 3D library does not have to be used, if you can create and store the shape files of each strip, and fill in the colors on--the-fly in a 2d animation, by converting the raster images to .svg using something like this:
And then using a library like this with an HTML5 canvas to color fill every third stripe.
That would be fine as well.
We have a similar (but much larger) project for the successful candidate.