Encoding tiles symmetry and rotation

[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 :

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

And this one :

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.