John Doe wrote:
"I have a lot of time on my hands."

I recall the Fractenna man, Dr. Chip Cohen, used to define fractals as
self similar elements assembled to cover a wide range of frequencies.

That roughly conforms to Kraus, "structures that preserve their shapes
at different scales."

Kraus` conical spiral and log periodic antennas in Figure 310 on page 68
of the 3rd edition of "Antennas" also seem to fit the repeating
structures of different scales designed to produce very broad bandwidth
with moderate gain and might be called fractals.

Best regards, Richard Harrison, KB5WZI