Geometric Tunnels and Ternary Charge Interactions in Hexagonal Symmetry Systems

Abstract

This graphic study independently rediscovers the structural properties of 4D hypercube projections through the lens of Coxeter reflection group symmetries in hexagonal systems. The research comprehensively maps all geometric tunnels formed by the conversion of point properties and the overlap of visible and invisible edges. It reveals a fundamental phase asymmetry between spatial antipodes, mapping the transition of ternary charges (+, −, 0) from fully discrete separation to cohesive quantum-like integration within exactly three stable states.