Stereographicprojectionisamethodforrepresentingasphericalsurfaceonaplane.Itmapspointsfromasphereontoaplanebyprojectingthemfromasinglepointonthesphere'ssurface,typicallythepoleoppositetheplaneofprojection.Thistechniquepreservesanglesandcircleproperties,makingitusefulinfieldslikecartography,complexanalysis,andcrystallography.Theprojectionisconformal,meaningitmaintainslocalshapes,butdistortsareas,especiallyfartherfromtheprojectioncenter.It'scommonlyusedformappingpolarregionsandhasapplicationsinvisualizingcomplexfunctionsandcrystalstructures.