ABSTRACT

I n many spherical designs, it is helpful to visualize points and great and lesser circles in two dimensions or as a flat drawing. As the illustrations in this book demonstrate, there  are many ways to project spherical geometry onto a 2D surface. However, there is one projection method in particular that offers both visualization and direct analysis capabilities. Stereographic projection is a way to show the 3D relationship of points and arcs on a sphere in a 2D diagram called a stereogram. Geodesic subdivisions distribute many points and arcs on the surface of a sphere, and stereographic projection is the best way to represent them in a 2D way that preserves angular relationships.