Eastwood, M.2017-10-082017-10-082014Archivum Mathematicum, 2014; 50(5):265-2710044-87531212-5059http://hdl.handle.net/2440/108306The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.en© Masaryk University, 2014Stereographic; conformal circles; compactificationJournal article003007541410.5817/AM2014-5-265369544