Really cool game! Almost seems like you could play it with pen and paper, which I think is really neat (only changing colors of squares might be a bit annoying).
Two minor nitpicks:
1. It's a bit misleading that the dice symbol hovers above the cursor, as both my girlfriend and me clicked the wrong tile at least once.
2. I'd like to be able to see the full map when selecting the dice.
I also didn't quite get the rules right after reading them, but playing helps. This is fun! I could see this becoming a game for bored children (both young and old) on long train rides.