51ºÚÁÏ

Last updated

14 August 2025

pdf, 880.69 KB
pdf, 880.69 KB

Breakthrough in 3D Geometry: A Novel Formula for Spatial Point Positioning
This work unveils a pioneering formula in 3D geometry capable of determining the exact position of a point in space using only the vertices of a defining plane. Going beyond conventional methods that stop at the plane’s equation, this approach directly quantifies a point’s spatial relationship—whether it lies on, above, or below the plane—with unprecedented simplicity and precision. The formula holds transformative potential for applications in computational geometry, CAD modeling, geospatial analysis, structural engineering, and real-time 3D simulations, opening the door to new opportunities in both theoretical research and practical implementation.

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