Roy Lewallen wrote:
"What`s fractal theory?"

The IEEE lists a paper appearimg in "Antennas and Propagation 2007".
EuCAP 2007.

Claims are size can be shrunk from two to four times without much loss
in performance, and that the antenna is naturally broad in bandwidth.
Two criteria must be met. The antenna must be symmetrical about a point,
and it must be self-similar, having the same appearance at every scale.

Dr. Nathan Cohen (Chip) is founder of Fractal Antenna Systems, Inc. He
is also a professor of Applied Science and Telecommunications at Boston
University.

Best regards, Richard Harrison, KB5WZI