ABSTRACT
Myriahedral projections are a new class of methods for mapping the earth. Myriahedral projections are generated using algorithms, partially originating from flow visualization, and not by formulas. This chapter presents some basic notions on map projection and describes its related work. It also describes that different solutions are obtained by using different myriahedra and choices for the edges to be cut. One option, used for azimuthal projections, is to cut the surface of the globe at a single point, and to project this to a circle, leading to very strong distortions at the boundary. The use of graticule-based meshes, recursively subdivided polyhedra, and geographically aligned meshes lead to different maps, each with their own strengths. The simplest way to define a mesh is to use the graticule itself, and to cut along parallels or meridians. The results can be used as an introduction to map projection.
