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Burnside's Formula

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There are 70 = C(8,4) ways to color the edges of an octagon, with four black and four white. The group D8 operates on this set of 70, and the orbits represent equivalent colorings. Count the number of equivalence classes.

D8 is the dihedral group associated with an octagon.

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Solution Summary

Burnside's Formula is integrated in this solution. The number of equivalence classes are determined.

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