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The Alpha and Lambda are mirror images. An Alpha and a Lambda that can reach the same squares on one rank can reach non-intersecting sets of squares on the next. I gave the two types of piece different names because I didn't want to keep referring to 'half the Lambdas', 'the other half', 'the same half' and so on. If I allowed the pieces to be flipped over they would indeed be the same, but I do not.