>>141258172 is even, 3 is odd. Everything 2 touches becomes even, though everything 3 touches becomes odd. If 2 were even, 3 would be false. 6 would be a statement true and false. The relationship also shows up with the honey combs bees make as it was either gravity or the heat that makes them hexagonal due to it being the optimal form the universe's physics favors. Same thing happens with bubbles compacted together.