2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171287A growing or shrinking disc will adopt a conical shape, its intrinsic geometry characterized by a surplus angle $se$ at the apex. If growth is slow, the cone will find its equilibrium. Whereas this is trivial if $se <= 0$, the disc can fold into one of a discrete infinite number of states if $se$ is positive. We construct these states in the regime where bending dominates, determine their energies and how stress is distributed in them. For each state a critical value of $se$ is identified beyond which the cone touches itself. Before this occurs, all states are stable; the ground state has two-fold symmetry.4 pages, 4 figures, LaTeX, RevTeX style. New version corresponds to the one published in PRLOther Condensed MatterMaterials ScienceSoft Condensed Mattertext