A point-to-point routing algorithm with three new features is presented. First, the router makes optimal use of oversized, rectangular contacts. Second, it allows different wire width on different layers, with the layers having complete freedom as to routing direction. These two features make the algorithm attractive for MOS layout applications. Finally it is able to realize all-angle routing and to accept all-angle obstacles, a feature interesting for hybrid and PCB routing. The router is gridless and guarantees a solution if one exists. Since it is based on computational geometry algorithms, it offers a low run-time complexity. The ideas have been implemented in a prototype version for 45° routing. The results indicate that the router performs well, even on large designs.