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In superstring theory there is a 10 dimensional space-time with 6 compactified spatial dimensions in Calabi-Yau manifolds and 4 expanded dimensions with three being space and one temporal. Now with m-theory there is one more dimension so does that mean there are 7 compactified dimensions (I know it appears illogical to ask this question but I always here String Theorists saying there are 6 compactified dimensions, most likely because they aren't discussing m-theory). If so what is the shape of these compactified dimensions?