omega-Operads of coendomorphisms and fractal omega-operads for higher structures

In this article we introduce the notion of textit{fractal omega-operad} emerging from  a natural omega-operad associated to any coglobular object in the category of higher operads in batanin's sense, which in fact is a coendomorphism omega-operads. we have in mind coglobular object of higher operads which algebras are kind of higher transformations. it follows that this natural omega-operad acts on the globular object associated to these higher transformations. to construct the natural omega-operad we introduce some general technology and give meaning to saying an omega-operad possesses the textit{fractal property}. if an omega-operad b^{0}_{p} has this property then one can define a globular object of all higher b^{0}_{p}-transformations and show that the globular object has a b^{0}_{p}-algebra structure.