Concept of wave nature of dissipative processes of fractal structuring and of the Earth forming -- Fractal hierarchies of the Earth’s dissipative structures – a new paradigm of theoretical and practical geology -- Conclusion.This volume describes physical, formal mathematical and exterior (morpho-structural) manifestations of wave dynamics of the Earth, defining both its deep structural image, and the external shape of planet. In addition to the standard imagination about waves in the geological environment as short-term seismological and seismic effects, wave dynamics of the Earth are considered as long-time process, comparable to the geochronological scale. The book consists of a systematic description of the conformities discovered in the set of heterogeneous and different-order objects, which have space-related regularity and recurrence at the different levels of resolution of analysis of natural systems. For expert-geologist it includes the basis of the geodynamic wave-related concept which enables to add to the traditional concept of plate tectonics, as well as the methods of quantitative interpretation of measured geo-fields.