• Uncategorized
  • 7

More Path Tiles

You may also like...

7 Responses

  1. The “Hexagon 2” set looks like the basis for the “Entanglement” game.

    How about if you offset the square tiles? Some wargames do that in lieu of hex grids.

  2. Mike says:

    Yes, the hex-2 set is the one that Entanglement uses. I think you’d have to play that game for quite a while to see all 1,799 tiles.

    The offset tiles are an interesting idea. And here I thought I’d reached closure!

  3. Odinsonnah says:

    What would happen if you attached the octagonal pieces and the squares together? You would end up with an irregular piece that could be used to tessellate the plane. I think it would have more unique permutations than the octagon alone but less than a decagon, since one of the paths on the square part has to remain very short. Can your program handle that? I’d be interested to know if that results in thousands of tiles or merely hundreds.

  4. Odinsonnah says:

    This might also be relevant:
    http://oeis.org/A132100

    Looking at that information, I feel like maybe the combined Octagon and Square tiles might have less than 100 unique designs, and if not certainly less than 200.

  5. Odinsonnah says:

    Scratch that. I forgot for a minute that the irregular shape is going to kill any possibility of shapes that are the same when rotated. The number will probably be gigantic.

  6. Mike says:

    Oh, that’s a cool idea. My first guess would have been something like 105 * 3, but I don’t think it’s that simple. I’ll have to think about that.

  7. Daniel says:

    Can anyone help me with a high res and or vector image of the 1799 hexagons?

    I’d love to get hold of them for a board game prototype I’m working on :)

Leave a Reply

Your email address will not be published. Required fields are marked *