Amazing Stereographic Projections

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point — the projection point.

By boltron-

Where it is defined, the mapping is smooth and bijective. It is conformal, meaning that it preserves angles. It is neither an isometry nor area-preserving: that is, it preserves neither distances nor the areas of figures. Intuitively, then, the stereographic projection is a way of picturing the sphere as the plane, with some inevitable compromises.

By gadl

Because the sphere and the plane appear in many areas of mathematics and its applications, so does the stereographic projection; it finds use in diverse fields including complex analysis, cartography, geology, and photography. In practice, the projection is carried out by computer or by hand using a special kind of graph paper called a stereonet or Wulff net.

By Seb Przd

By davesabog

By maco.croft

By Trevor Nerbas

By Joe Templeman

By strollerdos

by MathewBrown

By LHTP

By Joe Templeman

By Joe Templeman

Source : Wikipedia , Flickr