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  2. Map projections with least distortion include123:
    • Mercator projection: It uniformly scales the image of a small portion of the spherical surface without otherwise distorting it, preserving angles between intersecting curves.
    • Azimuthal equidistant projection: It minimizes distortion when mapping a circular region to the plane.
    • Miller Cylindrical projection: It modifies the Mercator projection to reduce distortion in high latitudes by slightly compressing the spacing of parallels.
    Learn more:

    The Mercator projection can be visualized as the result of wrapping a cylinder tightly around a sphere, with the two surfaces tangent to (touching) each-other along a circle halfway between the poles of their common axis, and then conformally unfolding the surface of the sphere outward onto the cylinder, meaning that at each point the projection uniformly scales the image of a small portion of the spherical surface without...

    en.wikipedia.org/wiki/Mercator_projection
    Then Milnor shows that the minimum possible distortion when mapping Dα to the plane is δ 0 = log (α / sin α). This map is realizable, and is unique up to similarity transformations of the plane. It is known in cartography as the azimuthal equidistant projection.
    www.johndcook.com/blog/2023/05/10/map-distortion/
    The Miller Cylindrical projection is a modified version of the Mercator projection, developed by Osborn Maitland Miller in 1942. This projection attempts to minimize distortion in the high latitudes by slightly compressing the spacing of parallels.
    www.geographyrealm.com/map-projection/
     
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