Odd, given that the log-periodic antenna is fractal and invented around 50 years ago (1957 by Duhamel and Isbell?). I personally was working with such antennas in 1992. They're not called fractal, since their invention predates the invention of the work "fractal" in 1975, by Mandelbrot.
The owners of the patent actually acknowledge the above in a FAQ on their site [2]. It's accompanied by an unconvincing justification for why they claim to own fractal antennas.