2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120612In (the surface of) a convex polytope P^n in R^n+1, for small prescribed volume, geodesic balls about some vertex minimize perimeter. This revision corrects a mistake in the mass bound argument in the proof of Theorem 3.8.Revision corrects a mistake in the mass bound argument in the proof of Theorem 3.8. J. Geom. Anal., to appearMetric Geometry49Q20In polytopes, small balls about some vertex minimize perimetertext