The geometry of coordinates for physiological optima of Archaea demonstrates the function of a hyperbola in two dimensions, and of a hyperboloid in three dimensions modeling. It was shown that the hyperboloid has an inclination of 67.5°. In previous work, both hyperboloids (one- and two-sheet) were positioned vertically, as schematic data for a preliminary result’s demonstration. Furthermore, our previous model of the Evolution of Life was constructed exclusively on the data of Archaea. In this work, we have constructed a hyperboloid with respect to the precise coordinates of physiological groups, and we have added the data for other key groups of microorganisms and multicellular eukaryotes that interfered and co-evolved with the relic ancient Archaean’s groups. Consequently, the inclined hyperboloid was composed to demonstrate the evolution of prokaryotic and eukaryotic organisms in space and time. Here, a complete model of the Evolution of Life is presented for consideration. In this article, we discuss some critical changes of geometry for separate physiological groups during the process of evolution, and focus on a possible involvement of mathematical laws and potential application of geometric function for explanation of the evolution.