Settlement centers of various types, including cities, produce basins of attraction whose shape can be regular or complexly irregular (from the point of view of geometry). It depends, among others, on the properties of the space surrounding a city. Central Place Theory (CPT), a well-known concept in economic geography and spatial economics, explains the spatial structure inherent in distinct economic orders of urban centers in geographical space. In Christaller’s original formulation the fundamental architecture of CPT is based on a static approach which focuses on the optimal division of space around urban centers, while following pre-specified plausible rules of supplying them with goods from other places. Conducted in the spirit of recent works, this study demonstrates that by introducing a dynamic approach to space and including an equation of motion and space resistance, a dramatic change of the idealized static CPT image occurs. As a result of the interplay of gravitational forces, basins of attraction arise around cities, whose boundaries are fractals. This paper provides a wealth of spatial fractal complex images that question the relevance and validity of traditional CPT.