There is no map that shows all of the land masses correct shapes. Cylindrical projections will show land masses accurately if they are close to the equator. Planar will show them correctly at the center of the map. And conic projection will show the poles accurately. If you really need perfect sizes, use a globe (: hope that helped!
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The Robinson projection is known for showing the shape of landmasses most accurately. It balances distortions of size, shape, and distance in an attempt to create a more visually appealing world map.
The compromise projection called homolosine, shows the accurate shapes and sizes of the landmasses, but distances on the map are not correct.
The most famous example of cylindrical projection is the Mercator projection. This type of map projection distorts the size and shape of landmasses as they get closer to the poles, but it is commonly used for nautical navigation due to its ability to represent lines of constant compass bearing as straight lines.
Areas near the poles are most distorted on maps, as the projection of the Earth's curved surface onto a flat map causes significant distortion in these regions. This distortion is known as polar distortion and results in inaccuracies in size and shape of landmasses near the poles.
An ellipse.
The Mercator projection is perhaps the most famous map projection in history. It was created by Gerardus Mercator in 1569 and is known for its distortion of the sizes of land masses, particularly near the poles, making the countries closer to the equator appear larger. It gained widespread popularity due to its ability to accurately represent navigation routes for sailors.
The Robinson projection attempts to display the relative size and shape of landmasses more accurately than the Mercator projection by distorting both land and water areas. It minimizes distortion around the equator but exaggerates the size of areas closer to the poles.