There is provided a first positioning electronic device for use in a system of positioning electronic devices. The first positioning electronic device includes a first projector for projecting a structured light pattern on a reflective surface. In addition, the first positioning electronic device includes an image sensor for detecting all or part of one or more reflected structured light patterns projected using a second projector of a second positioning electronic device. Also, the first positioning electronic device include a communications transceiver for transmitting and receiving communication signals to the second positioning electronic device. The first positioning electronic device also includes a control logic processor for determining a relative position of the positioning electronic device relative to the second positioning electronic devices using the detected reflected structured light patterns. The first positioning electronic device further includes a locator to determine an absolute position in the system of positioning electronic devices.