It's impossible to flatten a globe without at least some distortion. There exists so many map projections because they all optimize for different things: Some for easy ship navigation, some for true land sizes, some for accurate shapes, while others minimize distortions through compromise. The map projections shown in this video are: Equirectangular, Lambert, Mercator, Mollweide, Hammer, Bottomley (at 30 degrees), Sinusoidal, Werner, Bonne (at 45 degrees), August, Collignon, Eckert 1&3&5, Fahey, Foucaut, and Lagrange. Map data from Natural Earth: Source code: Animation software: