A Game Based on the Non-Periodic "Einstein Tiles"

The "Einstein Tile" is a recently discovered shape, where repeating just one of these shapes makes a non-repeating infinite pattern. I decided to try coming up with a game based on this tile. 

Players take turns putting Einstein tiles down on the board. One player is the “grower” and the other the “stopper”. The grower tries to make as large a pattern as they can, while the stopper tries to stop them (there are ways to play the tiles such that new tiles cannot connect. You have to put them down just right if you want them to actually grow forever.) Experimenting with other constraints have helped to make the game work better: after tile 1, new tiles must connect on 3 or more edges. After tile 2, tiles must also, additionally, connect with two or more tiles that are already down, simultaneously. Also, no putting a tile down such that it leaves a hole in the growing tile pattern.

Then the players switch roles so the other is the grower and the other is the stopper, and you see who can get a larger group before stopping, as the grower. Or you could play first to 200 points or something.  

I've played a few games of this with other people, and we thought the game was fun. It often seemed the stopper was so close to closing everything off, but one leftover part of the board would find a way to continue, until it couldn’t any more. Simple strategies are just to think of ways to play that stop other plays and play those a lot, or to find places where a tile can be played in 2 ways and play the better / worse way for future growth.

 An almost finished game: