Operads of higher transformations for globular sets and for higher magmas

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‎In this article we discuss examples of fractal $omega$-operads‎. ‎Thus we show that there is an $omega$-operadic approach to explain existence of‎ ‎the globular set of globular setsfootnote{Globular sets are also called $omega$-graphs by the French School.}‎, ‎the reflexive globular set of reflexive globular sets‎, ‎the $omega$-magma of $omega$-magmas‎, ‎and also the reflexive $omega$-magma of reflexive $omega$-magmas‎. ‎Thus‎, ‎even though the existence of the‎ ‎globular set of globular sets is intuitively evident‎, ‎many other higher structures which textit{fractality} are less evident‎, ‎could be described‎ ‎with the same technology‎, ‎using fractal $omega$-operads‎. ‎We have in mind the non-trivial question of the existence of the‎ ‎weak $omega$-category of the weak $omega$-categories in the globular setting‎, ‎which is described in cite{kach-ir3} with the same technology up to a contractibility‎ ‎hypothesis‎.