Research deposits
Deposits, code and submitted papers
Other languages: Français
Every deposit is time-stamped, open, and contains the scripts that print the numbers it states. Submitted papers are marked as such, with no result announced before review. Cite each deposit by its “all versions” DOI.
The book
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La Livrée d'Hermès
A treatise on arithmogeometry in 111 plates, in four languages: magic squares built by the law of the gnomon, and their transcription into patterns for the Jacquard loom.
doi:10.5281/zenodo.22722485 (all versions, to cite)
Preprints and notes
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Strict Log-Concavity Across All Scales for Exact-Height Plane Binary Trees
Working preprint: for every sufficiently large height h, the coefficient column counting plane binary trees of exact height h is strictly log-concave on its whole interior. Confirmed by exact computation up to h = 16; not yet read by a specialist.
doi:10.5281/zenodo.23102264 (all versions, to cite) -
Sign-Quotiented Doubling Modulo n: Cycle Structure, 2-Adic Synchronization, Lifting, and Forward-Closed Subsets — Four Working Papers
Four working papers on multiplication by 2 in Z/nZ after identifying x with −x, for every n: cycle structure, 2-adic synchronization, 2-adic lifting, and the enumeration of subsets closed under doubling. This doubling generates the vocabulary of axes of the book (n = 12).
doi:10.5281/zenodo.23088601 (all versions, to cite) -
One Object, Three Descriptions: Axes, Images and Grids of a Jacquard Pattern System
The three descriptions of the pattern system (axes, loom images, level sets of a square-plate eigenmode) present one finite structure, checked exhaustively on the sixty published images.
doi:10.5281/zenodo.22986529 (all versions, to cite) -
Axes and Level Sets of a Jacquard Pattern System — two companion notes
The vocabulary of axes generated by an inverse doubling (note [A]), and its identification with the level sets of a square-plate eigenmode (note [P]).
doi:10.5281/zenodo.22965031 (all versions, to cite) -
Parity Figures as Moiré: What Is Exact and What Is Not
Where the parity rule sits in the theory of moiré, and what becomes false when it is stated too quickly.
doi:10.5281/zenodo.22967584 (all versions, to cite)
Data and code
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Number of subsets of Z/nZ closed under negation and doubling: terms to n = 200 and program
The terms P_n(1) for n = 1 to 200 and the program that computes them: the number of subsets of Z/nZ closed under negation and doubling.
doi:10.5281/zenodo.22991226 (all versions, to cite) -
Data and verification scripts for « A half-shift criterion on three-colour 12×12 grids »
Data and scripts of the paper on 12 × 12 grids, submitted to the Journal of Mathematics and the Arts.
doi:10.5281/zenodo.22862110 (all versions, to cite) -
The Ansate Cross — verification code for a self-constructing method of order-6 magic squares
Scripts and data of the paper on the ansate cross, submitted to Mathematics Magazine: the 256 order-6 magic squares, the 64 order-12 assemblies and the exhaustive enumeration of admissible colourings.
doi:10.5281/zenodo.22866061 (all versions, to cite) -
Scripts de vérification de La Livrée d'Hermès
The live repository of the site and its verification scripts.
github.com/anibaledel/livreedhermes
Reports
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La Livrée d'Hermès — Progress report, September 2026
State of the work, in English with a French version: two papers under review, the deposited notes, twelve theorems stated plainly.
doi:10.5281/zenodo.22945021
Submitted, under review
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A Half-Shift Criterion on Three-Colour 12×12 Grids, and Its
Restriction on the Cube
Journal of Mathematics and the Arts.
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The Ansate Cross
Mathematics Magazine.
Verifiable sources: the Zenodo records linked above, and the code repository. About the author: about and documentary profile (in French).