Answer:
The Robinson projection minimizes distortion throughout most of the map. Although the Robinson projection is not conformal, the shapes that you can find within about 45° either north or south of the equator are generally represented with accuracy.
Compromise projections hand over the concept of utterly conserving metric properties, seeking instead to strike a balance between distortions, or to easily create things look right. Most of those styles of projections distort form within the polar regions quite at the equator.
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