This shape was discovered quite recently. It's the first shape that we've found that will tile forever while ONLY creating a pattern that never starts over.
A shape that has this property is called an “Einstein” tile, which is a German pun, since “ein Stein” means “one stone” in German.
This particular shape is fondly referred to as a “hat” because it looks like a little hat.
These tiles are made up of segments of a hexagon called “kites”, because they look like kites you'd fly!
Who knew math could be so adorable?!?!
In this model, I've highlighted the kites that make up the tiles. That way when you tile with them you can see the hexagons that form.
I'm currently playtesting a game involving these tiles. So far, the rules are:
By the end of the game you will have created a beautiful sky, with kites flying all around!
You should print some full tiles representing the sky pieces. I printed two colored tiles, one side with sky blue and the other side with white. That way they end result will look like a sky with clouds.
You should also print some individual kite pieces in different colors that will be given to each player. E.g. player one has red kites, player two has green kites, etc.
I'm still figuring out how many game pieces you'll need, and how many points you should go to before you win.
If anyone does happen to play this game, please let me know! I'd love any feedback, and I'd especially love to hear any rules that you came up with to make the game more fun.
For more information check out:
The author marked this model as their own original creation.