2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74584We apply a local differential geometric framework from Kähler toric geometry to (re)construct Calabi's extremal Kähler metrics on $\bbC\bbP^n$ blown-up at a point from data on the moment polytope.4 pages. This note is an addendum to math.DG/0410484. fixed typos in v2Differential GeometrySymplectic GeometryA symplectic construction of Calabi's extremal Kähler metrics on the blow-up of $\bbC\bbP^n$ at one pointtext