2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73689The article considers the problem of existence and uniqueness of centrally symmetrical convex body for which the projection curvature radius function coincides with a given flag function. A necessary and sufficient condition is found that ensures a positive answer. An algorithm for construction the body in question is proposed5 pages; no figuresMetric GeometryDifferential Geometry52-99; 52A20text