In this paper we will present the Dimensionless theory of everything. In an elegant way will be present the Dimensionless unification of the fundamental interactions. We will calculate the unity formulas that connect the coupling constants of the fundamental forces. We will find the formulas for the Gravitational constant. It will be presented that the gravitational fine-structure constant is a simple analogy between atomic physics and cosmology. We will find the expression that connects the gravitational fine-structure constant with the four coupling constants. Perhaps the gravitational fine-structure constant is the coupling constant for the fifth force. It will present the law of the gravitational fine-structure constant followed by ratios of maximum and minimum theoretical values u200bu200bfor natural quantities. Also we will present the Dimensionless unification of atomic physics and cosmology. We find the formulas for the cosmological constant. We will prove that the shape of the Universe is Poincaré dodecahedral space. From the dimensionless unification of the fundamental interactions will propose a possible solution for the density parameter of baryonic matter,dark matter and dark energy. The sum of the contributions to the total density parameter at the current time is Ω0=1.0139. It is surprising that Plato used a dodecahedron as the quintessence to describe the cosmos.