We prove a generalization of the famous Ham Sandwich Theorem for the plane. Given gn red points and qm blue points in the plane in general position, there exists an equitable svbdivision of the plane into q disjoint convex polygons, each of which contains n red points and m blue points. For q = 2 this Theorem is equivalent to the Ham Sandwich Theorem. We also present an efficient algorithm for constructing an equitable subdivision.
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