Seems to me that the problem you propose has been solved in Euclidean geometry by *not using the entire plane*. Why wouldn't this work in hyperbolic geometry?
On Sat, May 30, 2009 at 10:52 PM, S Myers <iamthecheeze@xxxxxxxxx>
hm, neato. The immediate issue I see is: there aren't many games
which employ an infinite board. Most game boards need edges fFor one
reason or another. I suppose you could play Martian Chess on a board
of infinite size. Crystal Palace assumes a board of infinite size,
but in reality you probably won't use more than 8x8.
Yes, new games, hiding somewhere in those infinite vertices.