2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74462We prove that the neighborly cubical polytopes studied by G"unter M. Ziegler and the first author arise as a special case of neighborly cubical spheres constructed by Babson, Billera, and Chan. By relating the two constructions we obtain an explicit description of a non-polytopal neighborly cubical sphere and, further, a new proof of the fact that the cubical equivelar surfaces of McMullen, Schulz, and Wills can be embedded into R^3.17 pages, 13 figuresCombinatorics52B70; 57-99; 52B12text