  In this paper two zero-dimensional compact sets with equal topological and
fractal dimensions but embedded in Euclidean space by different ways are under
study. Diffraction of plane electromagnetic wave propagated and reflected by
fractal surfaces is considered for each of these compact sets placed in vacuum.
It is obtained, that the embedding of compact influences on characteristics of
wave in final state. Thus, the embedding of Cantor set in Euclidean space is
additional property of a fractal which can be important both for applications
of fractal electrodynamics and for physics of strong interactions.
