Robinson world map: real size of countries

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Robinson projection: key facts and what it does to country sizes

Distortion class
Compromise
Graticule type
Pseudocylindrical
Creator
Arthur H. Robinson
Year
1963
Area
Compromise: distortion grows with latitude, so polar areas are exaggerated, but without Mercator's extremes
Shape
Compromise: shapes are slightly distorted, and continents look natural
Distances
Compromise: distances are moderately distorted across the map
Angles and directions
Compromise: not conformal; angular distortion is moderate near the center and grows toward the edges

Robinson protects neither area nor angles, so its Tissot indicatrices change size and shape at once, but only moderately. On the equator they are slightly elongated vertically, about 6% taller and 6% narrower than the true circle. At 30°, in the middle part of the map, they look almost round, with 11% more area. At 60° they turn into flattened ovals, half as wide again as on the globe but roughly as tall, and their area grows by 46%.

Every ellipse in a row has the same area, because enlargement here depends on latitude alone. What sets them apart is shape. The curved meridians tilt the ellipses toward the edges of the map: at 60°, angles near the central meridian change by about 25°, while at 150° longitude they change by more than 50°. The poles are not points but lines about 53% as long as the equator, and that is where the horizontal stretching is greatest. Turn on the true-north field: near the central meridian the arrows point straight up, while toward the edges they lean, inward in the northern hemisphere and outward in the southern.

Drag Poland from its real place, near 52°N, to the equator and the outline shrinks by about a quarter. At 72° it becomes about 40% larger than now, and moved toward the edge of the map along the same latitude it keeps its area but leans visibly. The 1.5× area isocole runs near 62°, and the 2× line only appears at 75°. Greenland, centered near 72°N, has its area enlarged 1.8 times here, while Mercator enlarges it 10.5 times at that latitude.

Robinson map: frequently asked questions

How much does Robinson enlarge Greenland compared with Mercator?

The center of Greenland lies near 72°N. On the Robinson map its area is enlarged about 1.8 times relative to the least distorted place, while Mercator enlarges it 10.5 times at that latitude.

Why does Robinson look natural if it preserves neither area nor angles?

The errors are small and spread evenly. On the equator the Tissot ellipses are about 6% taller and 6% narrower than a circle. At 30° they look almost like circles with 11% more area, and at 60° their area is 46% larger.

What happens to Poland on the Robinson map when I drag it?

On the equator the outline shrinks by roughly a quarter, and at 72°N it is about 40% larger than at home. Dragged sideways toward the edge at the same latitude it keeps its area but visibly skews.

Are the poles points on the Robinson map?

No. The poles are lines about 53% as long as the equator, and that is where horizontal stretching is greatest. The curved meridians also tilt the ellipses toward the map edges.