2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216823In this note we show that the n-2-dimensional volumes of codimension 2 faces of an n-dimensional simplex are algebraically independent quantities of the volumes of its edge-lengths. The proof involves computation of the eigenvalues of Kneser graphs. We also construct families of non-congurent simplices not determined by their codimension-2 areas.6 pages. Improves results of arXiv:0803.1317Metric GeometryCombinatorics51M16, 83C27Simplices and spectra of graphs, continuedtext