2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114086We give an explicit construction, based on Hadamard matrices, for an infinite series of floor{sqrt{d}/2}-neighborly centrally symmetric d-dimensional polytopes with 4d vertices. This appears to be the best explicit version yet of a recent probabilistic result due to Linial and Novik, who proved the existence of such polytopes with a neighborliness of d/400.9 pages, no figuresMetric GeometryCombinatorics52B12 (primary); 52B05, 52B35 (secondary)text