From the point of view of mathematics, it is impossible to represent the surface of a sphere in the form of a flat two-dimensional picture without distortion. However, it is precisely this task, to show the surface of our planet on a sheet of paper in the form of a 2D map, that humanity has been trying to solve with varying success for hundreds of years. Recently, American scientists presented their most accurate version to date.
The authors of the new cartographic system are a trio of enthusiasts, Princeton University astrophysicist J. Richard Gott, mathematician Robert Vanderbray and physicist David Goldberg of Drexel University in Philadelphia. Since the idea itself implies a compromise when transferring real data to the plane, scientists have neglected such a factor as usability. Their map is of no practical importance and most of all resembles illustrations for the theories of the "flat earth", but at the same time it contains a minimum amount of errors and distortions.
In the new "supermap" the Earth is not represented in the form of hemispheres, but as Gott put it "if it were crushed by a roller." On one half of the northern part, on the other - southern, with a border along the equator. In order to see the other side of the world, a spherical globe must be turned around, and such a map must simply be turned over to the other side. Thanks to this, the continuity of all continents and seas is maintained, any distances are easy to measure. Yes, objects at the edges of the disk are 1.57 times wider than those in the center, and measurements there have a 20% error, but even such distortions are less than in common cartographic projections.