Goode homolosine world map: how country sizes change

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Interrupted Goode homolosine projection: key facts and what it does to country sizes

Distortion class
Equal-area
Graticule type
Interrupted pseudocylindrical
Creator
John Paul Goode
Year
1923
Area
Preserved throughout the map
Shape
Distorted, but splitting the map into lobes limits continental deformation; the central meridians of the lobes and the equator are distortion-free
Distances
Partially preserved: true along every parallel between 40°44′ N and S and along the central meridians of the lobes
Angles and directions
Distorted (not conformal)

Goode's interrupted homolosine preserves area and uses its interruptions to give each continent its own lobe with its own central meridian. The default “Protect land” variant has two lobes in the northern hemisphere and four in the southern. The equator and the central meridian of every lobe are free of distortion, which is why the Tissot indicatrices on the equator are perfect circles. At about 40.7° latitude the outline of the lobes bends slightly: that is where the sinusoidal part, covering the equatorial zone, joins the Mollweide part. Antarctica is cut into four pieces, one in each southern lobe.

Higher up, what counts is distance from the lobe's axis, not from the prime meridian. The ellipse at 30°N, 30°E lies on the axis of the Eurasian lobe and stays a circle, while the one at 30°N, 30°W, 60° away, changes angles by 29°. The most skewed is the ellipse at 60°N, 150°E, 120° from the axis of the same lobe: its angles change by 69°. Four ellipses, three at 60°S and one at 60°N, 30°W, are crossed by the gaps between lobes and split into parts.

Poland lies close to its lobe's axis and its angles change by only about 11°. Drag it to Kamchatka: it keeps its area, but its angles change by almost 70°. Greenland is cut by the gap at 40°W, so its western and eastern parts lie in two different lobes. Australia, on the axis of a southern lobe, has its angles changed by only 3°. Switch to “Protect oceans” or “No seams” and the same countries land in other parts of the lobes, with different shape distortion.

Goode homolosine map: frequently asked questions

Why does an interruption cut Greenland on the Goode homolosine map?

Interruptions let each continent have its own lobe with its own central meridian. The interruption at 40°W divides Greenland into a western and an eastern part lying in two different lobes. Antarctica is cut into four pieces.

Which variants of the Goode homolosine map are on this page?

The default Protect land variant has two lobes in the northern hemisphere and four in the southern. You can switch it to Protect oceans or No seams: the same countries then fall into other parts of the lobes, with different shape distortion.

Where is the Goode homolosine map free of distortion?

Along the equator and the central meridian of every lobe, which is why the Tissot ellipses on the equator are perfect circles. At about 40.7° latitude the outline of the lobes bends: there the sinusoidal part joins the Mollweide part.

How much does the Goode homolosine map distort Poland and Australia?

Poland lies close to the axis of its lobe and changes angles by only about 11°, and Australia, on the axis of a southern lobe, by 3°. Drag Poland to Kamchatka: it keeps its area but its angles change by nearly 70°.