Puzzle Mercator for geography connoisseurs

This Friday day, Google released the Mercator geographical puzzle as an example of using the Google Maps API. It is necessary to put pieces of sushi in the appropriate places on the map, taking into account the unfolding of the sphere on the plane - the Mercator projection . As is known, in such a projection, the scale on the map is not constant, but increases from the equator to the poles as the inverse cosine of latitude. SVGs are recalculated accordingly for each puzzle element.