Adobe Flash is a technology for embedding animations (and even applications) into Web pages. On the Keep on Fighting! blog, Yihui Xie has a couple of neat examples of integrating R with Flash.
Another cool (or rather, hot) example is simulating fire in R and then visualizing it as a Flash animation. The frames of the simulated fire were generated using the image function in R, and then converted into Flash with the saveSWF function from the animation package.
This is a great way of visualizing all sorts of analyses, and distributing the results via a Web page. All the code you need for both these examples is provided in the linked pages.