Animating the Mercator projection to the true size of each country in relation to all the others by Neil Kaye . Map maker notes: “The final state of the animation is associated to its correct square milage. I calculated this by taking the area of each country polygon in the Mercator projection (MA), and the the true area (TA), then I did: 1 / sqrt (MA/TA) So Greenland for example is scaled to be 0.25 the size of Mercator original, which makes it 16 times smaller than shown in Mercator projection