Methods are provided for fabricating a semiconductor device. One method comprises providing a first pattern having a first polygon, the first polygon having a first tonality and having a first side and a second side, the first side adjacent to a second polygon having a second tonality, and the second side adjacent to a third polygon having the second tonality, and forming a second pattern by reversing the tonality of the first pattern. The method further comprises forming a third pattern from the second pattern by converting the second polygon from the first tonality to the second tonality forming a fourth pattern from the second pattern by converting the third polygon from the first tonality to the second tonality forming a fifth pattern by reversing the tonality of the third pattern, and forming a sixth pattern by reversing the tonality of the fourth pattern.