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One way to think of orthogonal is to take the ortho to mean right in a more normative sense than in the sense of meaning 90 degrees, such as we do with the word orthodox. Orthogonal movement would be movement that naturally follows the geometry of the board, that doesn't stray from the path by going through corners. We might say that orthogonal movement is movement in an orthodox direction. This would be consistent with our current use of the word.