A planar antenna array and articles of manufacture using the same are disclosed. In one embodiment, close-packed antenna elements, disposed on a substrate, number N where N=3x and x is a positive integer. Each of the close-packed antenna elements includes a substantially continuous photonic transducer arranged as an outwardly expanding generally logarithmic spiral having six turns. Each of the outwardly expanding generally logarithmic spirals may be a golden spiral. As an article of manufacture, the planar antenna array may be incorporated into a chip, such as a cell phone, or an article of clothing, for example.