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Title: The Odd Area Covered by Odd Number of Translates of a Given Shape Abstract: Given an odd number of copies (up to translation) of a given shape F in the plane, what can be said about the minimum area of all points in the plane contained in an odd number of these copies, in terms of the area of F? This depends a lot on the shape F. We will resolve completely the cases of triangles, parallelograms, and trapezoids. We also prove the existence and construct a shape F such that this area may be arbitrarily small. Many beautiful questions still remain open.