Geometric Tunnels and Ternary Charge Interactions in Hexagonal Symmetry Systems

Abstract

This graphic study independently discovers the structural properties of 4D hypercube projections within hexagonal systems, revealing geometric properties that naturally align with the principles of Coxeter reflection groups. The hypercube is used as a minimal exact geometric substrate for studying information encoded not only in the elements of a multidimensional object, but in the transformations of their observable relations under projection. The Visibility Spectrogram Method provides a way to classify these projection states and may form a basis for higher-dimensional information representation and analysis.