Math Forum - Project of the Month

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January 1999 Project of the Month

A Coloring Exercise

January's Winners

Okay, a simple little coloring exercise. Make sure you thoroughly explain how you figured it out, because I haven't done it yet.

In the picture below, a square is split into 8 equal parts. How many different ways can you color in exactly half of the blocks? There's a small catch - two colorings are considered the same if they could be rotated or flipped to match up, so be careful!

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