The RNA World hypothesis posits that RNA can represent a primitive life form by reproducing itself and demonstrating catalytic activity. However, this hypothesis is incapable of addressing several major origin-of-life (OoL) questions. A recently described paradox-free alternative OoL hypothesis, the Quadruplex (G4) World, is based on the ability of poly(dG) to fold into a stable architecture with an unambiguous folding pattern using G-tetrads as building elements. Because of the folding pattern of three G-tetrads and single-G loops, dG15 is programmable and has the capability to encode biological information. Here, we address two open questions of the G4 World hypothesis: (1) Does RNA follow the same folding pattern as DNA? (2) How do stable quadruplexes evolve into the present-day system of information transfer, which is based on Watson-Crick base pair complementarity? To address these questions, we systematically studied the thermodynamic and optical properties of both DNA and RNA G15- and G3T (GGGTGGGTGGGTGGG)-derived sequences. Our study revealed that similar to DNA sequences, RNAs adopt quadruplexes with only three G-tetrads. Thus, both poly(dG) and poly(rG) possess inherent ability to fold into 3D quadruplex architecture with strictly defined folding pattern. The study also revealed that despite high stability of both DNA and RNA quadruplexes, they are vulnerable to single-nucleotide substitutions, which drop the thermal stability by ~40°C and can facilitate introduction of the complementarity principle into the G4 World.