Does the United Nations flag prove that the Earth is flat? No, that's not true: According to the UN website, its flag shows a projection of the planet, centered on the North Pole. Like three-dimensional school globes, the UN emblem proportionately reproduces actual distances, but in a two-dimensional form.
Showing images of the UN flag and what is described as a flat earth map next to each other, the 49-second clip opened with:
Why the fuck would this coincidence even happen?
Here is what the video looked like on Facebook at the time of writing:
(Source: Facebook screenshot taken on Mon Sep 12 15:35:48 2022 UTC)
Graphics in the video claim that the UN flag leaves out Antarctica and that "space is a lie," which, the creator alleges, is "told to you through curriculum paid for by people who don't believe in god." The video names evolution and the Big Bang theory as part of what it terms "SATAN'S GLOBE EARTH LIE."
However, an official 1946 document describing the UN flag's design does not mention a "flat earth." Rather, it states that the flag's map represents a "projection":
...a map of the world representing an azimuthal equidistant projection centered on the North Pole, inscribed in a wreath consisting of crossed conventionalized branches of the olive tree, in gold on a field of smoke-blue with all water areas in white. The projection of the map extends to 60 degrees south latitude, and includes five concentric circles.
An explanation from the University of Minnesota Libraries defines projection as "the process of making a two-dimensional map from a three-dimensional globe." It likens the procedure to trying "to peel the rind from an orange" and then laying "the skin flat."
(Source: Open.lib.umn.edu screenshot taken on Mon Sep 19 19:53:49 2022 UTC)
Several methods exist to solve this problem. The UN states that the map of the world on its flag uses azimuthal equidistant projection.
The Merriam-Webster dictionary defines "azimuthal" as related to "an arc of the horizon."
The Smithsonian's National Postal Museum, which maintains a collection of map stamps that use azimuthal equidistant projection, writes:
On the Azimuthal Equidistant projection, all distances are true when measured from one specific point. For example, if the projection is centered on the North Pole, all distances (and bearings) measured from the Pole are true. Distances between any other points cannot be measured.
Thus, the UN flag does not show an image of a flat Earth. Instead, it represents the Earth, a spherical planet, on the flat surface of a flag, the same way it could be depicted on a piece of paper or a computer screen.