A couple of years ago, at the annual congress of “Sourveying and Mapping” from the United States I remember witnessing one of those smokes that leave you speechless, and not only because our academic English does not adapt to the gringo caliche. It was about an exhibition of Kevin Sahr, Jon Kimerling and Denis White in their exhibition “Geodesic Discrete Global Grid Systems“, which in our Latin language means:
A projection not based on pictures.
The great work of the builders of geodesy was to adapt a hemispherical surface to a final product of rectangular shape, almost all geodesic projections are thought of in the original principle for which they were created, and it is "to print maps", which is why which almost all these approximations of the ellipsoids, locally become an almost rectangle and whose main reason fifteen years ago was to be able to print two maps at the same scale and to be able to join them at their edges.
The proposal of these gentlemen is based on the argument, that at this point in technology, printing is no longer the only reason we start the quasi-spherical geometry of the earth, but for geolocation purposes; As GIS / CAD visualization tools and mobile applications adapt to technical use, there is less need to perform complex geolocation calculations. This analysis makes a commitment to consider the minimum unit of geodetic identification in a triangle with curved edges, which are the adjustment that would receive that triangle by the terrestrial curvature, so that it is nothing more than a segment of the surface, Of edges adjusted to the curvature of the earth and whose center corresponds to an imaginary center of the earth, or polar line of the spheroide.
A good smoke that goes against what it cost us to understand the traverse principle of Mercator in the Geodesy class hehe.