Projection Lab中文

How many Japans fit in the United States?

23 Japans fit in the United States.

Really
23
As Mercator draws it
34

Mercator makes it look like 34. The map inflates the ruler and the container both, and the ruler more.

Drawn to scale

The two places at one scale, side by side. the United States is painted the same size in both panels, so the only thing that changes is Japan - and how much it changes on the Mercator side is exactly how far that map moves the count.

  1. Equal Earth23 Japans
  2. Mercator34 Japans

The two are drawn beside each other, not packed one inside the other. What the picture gets exactly right is the ratio of the areas; whether irregular shapes would actually tile without gaps is a different question, and this figure does not answer it.

Why the two differ

Mercator draws Japan 1.61 times its true area and the United States 2.30 times. The count is the ratio of the two, so what moves it is not the inflation itself but the ratio between the two inflations. Whichever sits closer to a pole is blown up more.

Ruler
Japan 404,385 km²
Container
United States 9,493,296 km²

What each projection says

Every row is the ratio of the areas that projection paints for itself, not a figure converted from another projection's baseline. The two equal-area members return the true count, which is their definition rather than a coincidence.

ProjectionCount as drawn
Equirectangular27
Mercator34
Natural Earth25
Equal Earth23 true
Gall-Peters23 true

On an equal-area projection

Under Equal Earth or Gall-Peters the two figures are identical - for every pair on this site. An equal-area projection draws in proportion to true area, so the count you can see is the count there is. That is a definition, not a coincidence.

Open on Equal Earth

Next door

Japan somewhere else

Something else in the United States