One can’t make everything perfect. The Mercator map has a boundary cut error: one makes a cut of 180 degrees along the meridian of the international date line from pole to pole and unrolls the Earth’s surface, thus putting Hawaii on the far-left side of the map and Japan on the far-right side of the map creating an additional distance error in the process. A pilot flying a great circle route straight from New York to Tokyo passes over northern Alaska. His route looks bent on a Mercator map—a flexion error. North America is lopsided to the north: Canada is bigger than it should be, and Mexico is too small. All these errors are important. Ignoring one of them can lead you to bad-looking maps no one would prefer. Previously, Goldberg and I identified six critical error types a flat map can have: local shapes, areas, distances, flexion (bending), skewness (lopsidedness) and boundary cuts. These are illustrated by the famous Mercator projection, the base template for Google maps. It has perfect local shapes but is bad at depicting areas. Greenland appears as large as South America even though it covers only one seventh the area on the globe.

Gleason Map – FlatEarth.ws

The azimuthal equidistant projection is an azimuthal map projection. It has the useful properties that all points on the map are at proportionally correct distances from the center point, and that all points on the map are at the correct azimuth (direction) from the center point. A useful application for this type of projection is a polar projection which shows all meridians (lines of longitude) as straight, with distances from the pole represented correctly. The flag of the United Nations contains an example of a polar azimuthal equidistant projection. A disadvantage of the new map is that you can’t see all of the Earth’s surface at once, but remember this is true for the globe as well. Our map is actually more like the globe in this respect than other flat maps. To see all of the globe, you have to rotate it; to see all of the new map, you simply have to flip it over, as you can see belowGleason’s map could conceptually be made by placing a flat horizontal paper just above a translucent globe whose north pole is at the top; then placing a bright LED at the south pole and making each feature according to where its shadow falls on the paper,” Goldhaber-Gordon said.

Map Gleason 1892 World Time Calculator Flat Earth Large Wall Map Gleason 1892 World Time Calculator Flat Earth Large Wall

An interactive Java Applet to study the metric deformations of the Azimuthal Equidistant Projection. But while Gleason argued the earth is flat in his book, his application to the U.S. Patent Office for the map appears to contradict this. The application states that the map is extracted from the earth as a globe. Specifically, Gleason said: “The extortion of the map from that of a globe consists, mainly in the straightening out of the meridian lines allowing each to retain their original value from Greenwich, the equator to the two poles.”This double-sided map has a Goldberg-Gott error score of only 0.881 versus 4.563 for the Winkel tripel. It beats the Winkel tripel in each of the six error terms! It has zero boundary cut error since continents and oceans are continuous over the circular edge. It has a remarkable property no single-sided flat map possesses: distance errors between pairs of points (such as cities) are bounded, being off by only at most plus or minus 22.2 percent. In the Mercator and Winkel tripel projections, distance errors blow up as one approaches the poles and boundary cuts. From the registered patent, he never mentioned that the Earth is flat. On the contrary, he said that he made the map from a globe, which explains how a north-pole centered azimuthal equidistant map is designed. References