{"id":"palomar/PALOMAR-2026-08-21-000010","url":"https://github.com/lennrt/palomar-formalizations/tree/d259d35ad32d0e7c8c60ddd5a574aa987956e1d2/zenodo-21925578/palomar","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-08-21-000010-v2.json","repo":"https://github.com/lennrt/palomar-formalizations","tags":["cs.GR","math.NA","msc:15A18","msc:65D07","msc:65D17","msc:65F15","geometric-modeling","subdivision-surfaces","numerical-linear-algebra","lean-formalization"],"score":0,"title":"lennrt/palomar-formalizations","trust":"high","domain":"cs.GR","source":"palomar","authors":["Lennart Rudolph"],"reviews":0,"subject":"cs.GR","summary":"A Lean formalization of Lemma 7.1 and the outer-matrix content of Theorem 7.2 for generalized cubic subdivision. It defines the naturally indexed 28n by 28n outer matrix row-by-row from the authenticated released MATLAB masks, including all previous/current/next-sector references. It constructs the paper's explicit topological permutation, proves that the first 24n coordinates are strictly upper triangular and that the remaining diagonal components are n scalar 1/64 blocks and n copies of the displayed 3 by 3 core, and proves unconditionally for every n at least 3 the characteristic…","category":"research","comments":0,"disputed":false,"division":"cs","mentions":0,"verified":true,"discussed":0,"published":"2026-09-03","reactions":{},"formalized":true,"formalizes":[{"title":"Exact Spectra of Generalized Cubic Subdivision Matrices","identifier":"doi:10.5281/zenodo.21925578","relationship":"formalizes"}]}