First, second, and third sets of sensor electrodes are disposed in a single layer on a first surface of a substrate of a transcapacitive sensor device. Sensor electrodes of the first set are substantially parallel to a first axis and are substantially identical to one another. The second set comprises a rotated mirror symmetric version of the first set, disposed parallel to the first axis. The third set is disposed between sensor electrodes of said first set and said second set, and includes a sensor electrode comprising a rectangular shape with a long side aligned paralleling the first axis. The first and third sets of sensor electrodes are configured for providing a first capacitive coupling therebetween that varies substantially along the first axis. The second and third sets are configured for providing a second capacitive coupling therebetween that varies substantially inversely to the first capacitive coupling along the first axis.