A few years back, a client had asked if there was a way to build a Geodesic Dome in Revit. I tried, and tried... but got nowhere in the limited time I had. The only solution I could recommend was to use a script to generate points that could then be connected by adaptive components.
Then yesterday, when looking for something else (as is wont to happen more often than I care to admit), I found a tutorial by Tom Vollaro that broke down the problem in terms of simple geometry. I not only learnt how to build a geodesic sphere, but finally understood the underlying geometric basis for the form.
Of course, not all of us have the time to build it ourselves - So, I'm sharing :-). (You can download it from my drive here)