[UNSOLVED] KingGeorge's Challenge of the Month/Annual 4th of July Problem!
Suppose you have an 8-pointed star like in the picture below, and you want to color the edges of that star in either purple or green. How many ways are there to do this? Assume that two colorings are the same if the star can be rotated or reflected so that the two colorings look the same.

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\[\binom{8}{2}\cdot \frac12\]?

There's a lot more than that. Remember that there are 16 edges here, not 8.

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