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The hadron spectroscopy is studied through the use of fractals and discretescale invariance (DSI) implying log-periodic corrections to continuous scaling.The masses of mesons and baryons, reported by the Particle Data Group (PDG),agree with (DSI), as well as the masses of exotic narrow mesons, baryons, anddibaryons.  Two distributions are systematically studied: first the log of the massesversus the log of their rank, and also the successive mass ratios. Each fittedparameter of the second distributions, as a function of the hadronic masses,displays the same shape for all PDG hadronic families and species. The sameparameters allow good fits for the narrow exotic mesons, baryons and dibaryons.  When the successive mass ratios between different baryon families areconstant, this property is not observed between different meson families. Suchobservation is studied within the double mass ratios eliminating the quarkmasses, but the difference between baryons and mesons is not understood.  The fractal properties and discrete scale invariance model are also used tostudy nuclei yrast masses as well as excited nuclei level masses of somenuclei. Here also the good agreement between data and fractal property, allowsto make some predictions for still unobserved nuclei masses.  Fractal properties are also compared to several nuclei data such as :  - atomic masses in several columns of the Mendeleev periodic table ofelements,  - masses of series following $\beta^{+}$ or $\beta^{-}$ disintegrations,  - one and two nucleon separation energies,  - half-lives of some isotopes,  - the four radioactive family periods.  Finally, it is shown that the lepton, hadron, and boson masses can bepresented in the same frame. This is also partially true for the couplingconstants.

What do fractals learn us concerning the masses of fundamental particles, of hadrons, and of nuclei? Concerning also disintegration life-times?