If you subdivide a 2x2 tile into 4 unit squares and then color each unit square either red or green, then there are $2^4=16$ ways you can do this as shown below:
Can you use all 16 tiles (rotations allowed) to tile an 8x8 square so that whenever a unit square from a tile shares a common edge with a unit square from an adjacent tile, then the two unit squares will have the same color? Flipping the tiles over is not allowed.
BONUS: Can you find a symmetrical solution?
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This puzzle is a slight variant of David Butler’s puzzle: Panda squares.