Reproducibility package for Center, Orbit Decomposition, and Residual Fibers in the Triangular Lattice

Résumé fourni par la source

This reproducibility package accompanies the manuscript Center, Orbit Decomposition, and Residual Fibers in the Triangular Lattice. It contains the LaTeX source and DOI-integrated PDF, exact and numerical shell and boundary datasets, manuscript figures, an independent verifier for the shell and radial-boundary results, and a second independent verifier for the general � incidence theorem. The main exact results include the canonical decomposition of each � graph-distance shell into � disjoint � centroid certificates, the exact transversal number � for that canonical orbit family, a one-triplet centered equilateral incidence fiber homeomorphic to �, the theorem that every strictly convex �-symmetric �-gon is incident to exactly two regular �-gons corresponding to the two perfect matchings of �, and the radial � specialization in which the incidence-fiber cardinality is � for �, � at �, and � for �. Source code is released under the MIT License; the manuscript, figures, documentation, and data are released under Creative Commons Attribution 4.0 International (CC BY 4.0). Keywords / Subjects: triangular lattice; A2 lattice; cyclic symmetry; orbit decomposition; convex geometry; regular polygons; incidence geometry; perfect matching; reconstruction; reproducible research. Estos campos ayudan a la descubribilidad y pueden introducirse como keywords personalizados. � Zenodo Visibility: Public

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.