So in short: doing what you propose would be approximately as difficult for me as it would be for you to do it yourself, and comparable to the task of rephrasing one sentence in the Chinese translation of the bible...
The simpler solution is to provide the set in two different orientations and let the player choose which one is rightsideup for him.
The simpler solution is to provide the set in two different orientations and let the player choose which one is rightsideup for him.