"La Livrée d'Hermès — Progress report, September 2026, with a first note on nodal lines

Progress report on the work carried out around <i>La Livrée d'Hermès</i> (September 2026): two mathematics papers under review (<i>Journal of Mathematics and the Arts</i>, submission 267148025; <i>Mathematics Magazine</i>, submission 262890732), six theorems stated plainly, a closed question (the order-6 magic cube by stacking, with its proof), and a first note establishing that the axes of the pattern system are nodal lines of eigenmodes of a simply supported square plate (mutation = change of boundary condition; f = 128 k² as the plate frequency law placing mode (2,2) at 256 Hz). Every claim points to a time-stamped deposit, a submission number, or a script that can be re-run. French version of the report included. Version 2.0 of the report. Files: progress-report (EN, pdf/md), compte-rendu-travaux (FR, pdf/md), the-axes-are-nodal-lines (EN, pdf/md). No physical measurement has been made for the nodal-lines note; the correspondence is geometric.