A system to track a three-dimensional position and an orientation of a
movable object and associated methods are provided. The system includes a
tracker having an optically trackable body adapted to connect to the
movable object. A plurality of optical indicators are connected or
mounted to the optically trackable body to form a plurality of geometric
figures. A plurality of obfuscating flanges optically separate the
optical indicators from each other to prevent each of the optical
indicators from becoming optically coincident with another optical
indicator when viewed along a preselected viewing path. The system also
includes an apparatus to track the tracker having an optical detector to
simultaneously detect the three-dimensional position of at least three of
the plurality of optical indicators and a determiner to determine the
three-dimensional position and orientation of the optically trackable
body from the position of the optical indicators.