General Web-Development Type Question...

This is related to that minor announcement I've yet to be fully prepared for, but I have a question about an effect I'd like to have implemented on the site for it (also yet to be designed at this stage).

I have some 3D geometry I'd like displayed in a window within the home page, looking something like this to start:



I'd like visitors to be able to rotate and spin that sucker. While being rendered in that fashion, against a white background, with no other shading. With no more to it than that, and visible/accessible in virtually every browser on the planet, on virtually every platform on the planet--extant or extinct (within reason, obviously), without duplicating any effort on my part.

(SGI users are familiar with the inventor viewer; that's similar to what I'm going for).

Question is, what's the best way to accomplish this? Anyone have any recommendations/suggestions for me?