Geometric Tunnels and Ternary Charge Interactions in Hexagonal Symmetry Systems

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-04
DOI
https://doi.org/10.5281/zenodo.22167137
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Geometric Tunnels and Ternary Charge Interactions in Hexagonal Symmetry Systems

Grigory Dudko
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

Geometric Tunnels and Ternary Charge Interactions in Hexagonal Symmetry Systems

Grigory Dudko
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Topological Materials and Phenomena
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