A new model of a cosmos with hierarchical Universes depends on the existence of three-dimensional (3D) standing wave (SW) patterns of various ranks. Various aspects of this model are explored, both qualitatively and quantita-tively, using simple geometries and simple physical concepts. The number of particles in our Universe is shown to equal the square of the ratio between the radius of the Universe and the effective radius of a particle. It is shown that a series of Universes terminates with our visible Universe.

Keywords: fractal, universe