2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155810In this paper we give two different proofs of Bobenko and Springborn's theorem of circle pattern: there exists a hyperbolic (or Euclidean) circle pattern with proscribed intersection angles and cone angles on a cellular decomposed surface up to isometry (or similarity).16 pages, 2 figuresGeometric Topology52C26text