In classical geometry and mathematics, the point is a primitive undefined concept, introduced through a system of axioms but devoid of any physical content. This approach leaves fundamental questions unanswered: what a point is in its essence, why it is indivisible, why space is three‑dimensional, and why geometry works at all. This work presents a fundamentally new definition of the point within the framework of the Yakushev Unified Coordination Theory (YUCT). The point ceases to be an abstraction and is treated as the minimal stable node of a coordination network, described by a triad of components: a dictionary (the set of possible states and rules), an index (the current state pointing to a specific dictionary element), and a resonance coefficient characterising the stability of the node. Thus, the point is not an empty locus but an active structure capable of changing its state, resonating with other points, and participating in interactions. It is shown that this approach allows deriving the finite size of the point, which is inversely proportional to the coordination efficiency raised to the power of one third. In the limit of infinite coordination efficiency, the point size tends to zero and it becomes an ideal mathematical point. This establishes mathematics as a limiting case of physical coordination, rather than as something absolutely independent. Based on the definition of the point, the three‑dimensionality of space is rigorously proved. From the structure of the coordination network and the closure of the algebraic cycle, universal constants follow: the sum of odd and even contributions yields two, and their ratio equals three halves. This yields a universal exponent equal to two thirds, which in turn determines the dimensionality of space as three. Thus, three‑dimensionality ceases to be a postulate and becomes a theorem derived from the coordinative nature of reality. A straight line in YUCT is interpreted as a sequence of nodes with minimal coordination error. For any two points with sufficiently high resonance, there exists a unique such sequence, providing a rigorous justification of Euclid's axiom about the uniqueness of the straight line through two points. The axiom thereby becomes a proven property of the coordination network. All coordination processes obey a universal error law: the relative error equals the product of the minimal coordination entropy, a system‑specific constant, and the coordination efficiency raised to the power of minus two thirds. This law has been experimentally verified over more than fifty orders of magnitude — from chemical bond energies to cosmic microwave background fluctuations. On the basis of the proposed definition, consistent and testable answers are given to ten key questions that classical physics and mathematics fail to explain. These include: the origin of the effectiveness of physical laws, the nature of the effectiveness of mathematics, the justification of three‑dimensional space, the origin of the arrow of time from finite coordination efficiency, the derivation of fundamental constants (the fine‑structure constant, the W‑boson mass, and the cosmological constant) without free parameters, the explanation of the distribution of prime numbers as a coordination ladder, the origin of pi as a coordination invariant, the resolution of quantum mechanical paradoxes through finite coordination efficiency, the definition of consciousness as a regime with coordination efficiency above a critical threshold, and the derivation of the cell membrane thickness from topological considerations, which matches experimental data. All these results follow from a single principle of coordination and require no additional free parameters. The work demonstrates that geometry is not a postulated given but emerges as an emergent property of the coordination network. This eliminates the ontological emptiness at the foundations of mathematics and physics, offers a new view of the unity of nature — from microscopic particles to the cosmos and consciousness — and provides direct experimental predictions open to verification. The proposed approach opens the way to a unified language for all scientific disciplines, where coordination stands as the primary foundation of reality.