Reg, G4FGQ, dismisses fractal antennas as not improving on the
efficiency of radiation, but that may not be the intent.

Kraus, in "Antennas" says:
"They also provide new insights into antenna and array design----.
----Interestingly, the self-repeating different-size structure of a
log-periodic antenna qualifies it as a fractal form."

Best regards, Richard Harrison, KB5WZI