Let R be the relation on the set of all colorings of the 2

Chapter 13, Problem 59E

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Let R be the relation on the set of all colorings of the 2 × 2 checkerboard where each of the four squares is colored either red or blue so that (C1, C2), where C1 and C2 are 2×2 checkerboards with each of their four squares colored blue or red, belongs to R if and only if C2 can be obtained from C1 either by rotating the checkerboard or by rotating it and then reflecting it.a) Show that R is an equivalence relation.________________b) What are the equivalence classes of R?

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