Empirical Earth · Flight & Navigation

No flat map can be right — the UN “flat-Earth map” is just a projection

The claim

“The UN/USGS azimuthal map is the real flat-Earth map.”

What is true

The UN emblem is an azimuthal equidistant map centered on the North Pole, and that projection is used in several official settings.

What is measured

Every world map distorts, because Gauss proved a sphere cannot be flattened without distortion. The UN’s azimuthal projection is a neutral pole-centered map, not a secret flat-Earth chart, and its “ice wall” is the South Pole stretched around the edge. Southern-hemisphere flight distances fit a globe and break every flat map.

What would show this is wrong

a single flat-Earth map that preserves true distance, area and angle everywhere at once, which the Theorema Egregium proves cannot exist for any sphere.

Sources

  1. Theorema Egregium and map distortion. Gauss proved in 1827 that a sphere cannot be represented on a flat plane without distortion; every world map therefore sacrifices true distance, area or link
  2. The azimuthal/UN map and Mercator area distortion. The UN emblem is an azimuthal equidistant projection centered on the North Pole (also used by USGS and the military); its “ice wall” is the link
  3. Gleason’s map and its patent. Alexander Gleason’s New Standard Map of the World (Buffalo, 1892) is a north-polar azimuthal equidistant projection drawn “on the projection of J.S. Christopher link
  4. The AuthaGraph projection. Hajime Narukawa’s AuthaGraph (1999; Good Design Grand Award 2016) is an approximately equal-area polyhedral map made by dividing a sphere into 96 triangles, transf link
The full entry, with the working →

This is one card from Empirical Earth, a free reference that states each flat-Earth claim at its strongest and then answers it with sourced measurements. Nothing is for sale and there are no advertisements.