La Livrée d'Hermès — Progress report, September 2026

Progress report on the work carried out around La Livrée d'Hermès (September 2026, version 2.3): two mathematics papers under review (Journal of Mathematics and the Arts, submission 267148025; Mathematics Magazine, submission 262890732); four deposited notes establishing that the sixteen axis families of the pattern system are generated by a single doubling operation, are the level sets of a square-plate eigenmode with guided edges, and that every one of the sixty Jacquard-loom images is a parity figure of those axes (60/60), with the integrity check identified as a linear [1152, 13] code of minimum distance 288 (doi:10.5281/zenodo.22965031, doi:10.5281/zenodo.22986529, and a note on moiré, doi:10.5281/zenodo.22967585); twelve theorems stated plainly; and a closed question (the order-6 magic cube by stacking, with its proof). Version 2.3 records the formatting revision of the Mathematics Magazine submission, the four-language deposit of the treatise and the moiré note; version 2.2 corrected the plate reading of version 2 (simply supported → guided; mutation = reflection of the level, not a change of boundary condition). Every claim points to a time-stamped deposit, a submission number, or a script that can be re-run. French version included.