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Encoding tiles symmetry and rotation #14

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@Garazbolg

The base implementation notes that you can "Augment pattern data with rotations and reflections."
I don't think you need reflections for the circuit problem but you might run into it with more complex setup.

Let's assume you don't need reflections.
For rotations you need to have 4 letters that indicate the orientation of the piece.

For this issue let's call them :

  • S -> straight
  • L -> rotated 90° to the left
  • F -> "flipped" but really it's rotated 180°
  • R -> rotated 90° to the right

So this tile :
4

would have edges 4S, 2, 4S, 0

And this one :
5

would have : 4S, 1, 1, 4R

Now the complicated bit is that you have to account for that whenever you are rotating a piece.
For a Left (90°) rotation :

  • every S becomes L
  • every L becomes F
  • every F becomes R
  • every R becomes S

This also fixes the problem of having 5.png left edge connecting to a 4S the wrong way because it will never be a 4S AND a top facing edge at the same time.

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