A Ternary Matrix Representation of a Two-Dimensional Sentence Palindrome Based on Phonetic Symmetries

This dataset and accompanying paper present a novel structural abstraction of a classical two-dimensional 5x5 sentence palindrome. By reducing the linguistic elements to their phonetic classification (vowels, sonorants, and obstruents) and isolating the central nexus, the historical word square is transformed into a discrete ternary matrix. This numerical representation isolates the pure geometric, algebraic, and mathematical symmetry of the artifact, entirely independent of its specific Latin vocabulary. The resulting model highlights the invariant structural balance embedded within ancient combinatoric grapheme grids, offering new pathways for analyzing linguistic palindromes through the lens of matrix theory and discrete mathematics.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-21
DOI
https://doi.org/10.5281/zenodo.20329720
Primary Topic
History and Theory of Mathematics
Type
preprint
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preprint

A Ternary Matrix Representation of a Two-Dimensional Sentence Palindrome Based on Phonetic Symmetries

Maik Eifler
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

A Ternary Matrix Representation of a Two-Dimensional Sentence Palindrome Based on Phonetic Symmetries

Maik Eifler
preprint en

Abstract

This dataset and accompanying paper present a novel structural abstraction of a classical two-dimensional 5x5 sentence palindrome. By reducing the linguistic elements to their phonetic classification (vowels, sonorants, and obstruents) and isolating the central nexus, the historical word square is transformed into a discrete ternary matrix. This numerical representation isolates the pure geometric, algebraic, and mathematical symmetry of the artifact, entirely independent of its specific Latin vocabulary. The resulting model highlights the invariant structural balance embedded within ancient combinatoric grapheme grids, offering new pathways for analyzing linguistic palindromes through the lens of matrix theory and discrete mathematics.

Zenodo (CERN European Organization for Nuclear Research)
Quality Education
History and Theory of Mathematics
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