The basis of self-organized structures and fractality is information. Modern information principles of programming, development of artificial intelligence, namely encapsulation, inheritance and polymorphism are also inherent in fractals. Geometric fractals are first of all an encapsulation, which transforms an ordinary geometric object and its perception into an information one: the description, properties of parameters with action (algorithm, methods) is combining. Due to this, the geometric fractal becomes information. For algebraic fractals is spontaneously added and embodied the principle of inheritance. All informational properties and algorithms acquired for geometric fractals are inherited, and a completely new aspect of self-organization is born – this is the creation and use of abstraction levels as new information spaces of fractality. Stochastic fractals are receiving the principles of encapsulation and inheritance, that is, they are implemented on the wholeness of information. In addition, a polymorphism is spontaneously developed – is implementation of properties and algorithms in various new interfaces, new environments, which are dynamically self-created for them.