2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121452Itenberg and Shustin's pseudoholomorphic curve patchworking is in principle more flexible than Viro's original algebraic one. It was natural to wonder if the former method allows one to construct non-algebraic objects. In this paper we construct the first examples of patchworked real pseudoholomorphic curves in $Σ_n$ whose position with respect to the pencil of lines cannot be realised by any homologous real algebraic curve.6 pages, 1 figureAlgebraic Geometry14P25; 32Q65; 14J26; 14H50A Non-Algebraic Patchworktext