A Periodic Macrostructural Extension Framework for Two-Dimensional Ternary Word Square Palindromes
This paper introduces a combinatorial scalability framework designed to extend a 5x5 ternary palindromic matrix template into a macrostructural 10x10 grid. By applying discrete axial reflections and mirroring techniques to four quadrant-aligned 5x5 sub-matrices, a highly symmetrical, periodic tiling system is generated. This framework preserves the fundamental phonotactic constraints—specifically the structural distribution of consonantal, vocalic, and nodal elements—on the micro-level, while establishing an invariant, multidirectional macro-palindrome on the 10x10 scale. The resulting composition demonstrates the exact structural scalability, translational symmetry, and iterative potential of the underlying ternary algorithm.
Authors
- Maik Eifler
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-21
- DOI
- https://doi.org/10.5281/zenodo.20332698
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00