The BBF Number System in Three Dimensions: Static Structure and Coordinate Symmetry

The three‑dimensional extension of the BBF number system provides a unified and redundancy‑controlled coordinate representation for integers and reciprocals across all four quadrants. The construction generalizes the two‑dimensional BBF framework by introducing a layer‑based geometric structure that resolves missing‑value phenomena and yields a complete static description of the BBFz space. The article develops the coordinate geometry of the system, including its symmetry properties, axis structure, and horizontal and vertical partitions. Representative slices of the BBFz space are included in the appendix to illustrate the geometric organization without introducing additional theory.