This paper in the Cartographic Journal describes Myriahedral projections. The problem of how to unfold a more-or-less-spherical earth onto a two-dimensional surface has been approached in many ways. The author, van Wijk, works from the principle of Buckminster-Fuller’s Dymaxion map: the more pieces you cut the globe into, the less distortion occurs. His Myriahedral projections are based on polygonal spheres with a huge number of facets. They are unfolded by an algorithm that can be set to maintain certain relationships: keeping all the land together, for instance; or dividing only along graticule lines, or grouping the sea at the centre.




