The place name "Puc�n" can have two meanings: 'doves', or 'entrance to the mountain'. Etymologically comes from the Mapudungun , the language of the Mapuche , forming the point : 'get there', and Conen : 'get'; pucon (n) would 'get into' or 'input' (to the mountains and Argentina by Step Mamuil Malal ).
The other possibility is that it derives from Puconu of conu 'dove' or 'the pigeons'
