Euclidean Decomposition of the Multiplication Table: Papers and Parallels

This record collects the Euclidean Decomposition of the Multiplication Table papers together with the companion note on structural parallels and plane arithmetic.Ce dépôt rassemble les articles sur la décomposition euclidienne de la table de multiplication et la note complémentaire sur les parallèles structurels et l’arithmétique du plan.Dieser Eintrag fasst die Artikel zur euklidischen Zerlegung der Multiplikationstabelle und die begleitende Notiz zu strukturellen Parallelen und zur Ebenenarithmetik zusammen. The companion notes are included as full structural counterparts to the paper sequence, not as appendices. The master record brings the eight Euclidean Decomposition papers, the structural parallels note, and the plane-arithmetic note into one reading-order junction. Separate companion PDFs are provided for Papers, Parallels, and Plane. Included papers: Euclidean Decomposition of the Multiplication Table. Zenodo. DOI: 10.5281/zenodo.18960358 Divisor–Window Formula for the Euclidean Decomposition of the Multiplication Table. Zenodo. DOI: 10.5281/zenodo.18991381 The Support of the Euclidean Decomposition of the Multiplication Table. Zenodo. DOI: 10.5281/zenodo.19102497 Euclidean Transport Update for the Multiplication Table. Zenodo. DOI: 10.5281/zenodo.19121230 Euclidean Transport of Multiplication. Zenodo. DOI: 10.5281/zenodo.19273836 On the Motion of Numbers. Zenodo. DOI: 10.5281/zenodo.19390886 Continuous Euclidean Transport. Zenodo. DOI: 10.5281/zenodo.19899679 Motion and Animation in Multiplication. Zenodo. DOI: 10.5281/zenodo.20130521 Companion notes: Parallels: 177 Ways to Overclaim — Carefully Avoided / Structural Parallels to Physics, Astronomy, Computation, and Other Sciences in Arithmetic. Euclidean Decomposition in Plane Arithmetic. Zenodo. DOI: 10.5281/zenodo.20465011 The companion note Parallels: 177 Ways to Overclaim — Carefully Avoided / Structural Parallels to Physics, Astronomy, Computation, and Other Sciences in Arithmetic records structural parallels arising from the Euclidean Decomposition framework. The companion note on plane arithmetic extends Euclidean Decomposition by allowing products, bases, or both to pass from Z to Zi. It identifies the Gaussian-product, integer-base case as the distinguished plane-arithmetic reading selected by the canonical arrow (n ↦ n+1). This master record is the reading-order junction of the Euclidean Decomposition of the Multiplication Table series: Core, Parallels, and Plane.