So don't laugh, but I randomly found a solution to a problem I posted about in 2006.
http://www.bgdf.com/node/11707
I abandoned the need for the idea long ago, but I'll throw this out there in case someone else can use this.
Basically, I wanted to create a board with spaces that represented a sphere (planet).
Having spaces like that of a soccer ball works pretty well, but I also wanted boards with different numbers of spaces, and the finding of other arrangements proved a bit problematic.
Turns out, the solution that I was looking for at the time was...
Goldberg Polyhedra
http://www.scientificamerican.com/article.cfm?id=goldberg-polyhedra-math...
So if anyone else need to create various numbers of spaces on a sphere, I'd start there.
