Fans of the Flat Earth paradigm use the flattened projection map used for the United Nations logo, where the North Pole is the center of the map, and Antarctica is an ice shelf that surrounds the outer rim of the livable area of the earth, and it's not known how far past that surrounding ice shelf you have to go to reach the edge of the earth - if it exists.
Here's one challenge I'd pose to those who promote the Flat Earth paradigm over the Globe Earth paradigm: What route would be the most direct and shortest route to fly between Quito, Ecuador and Nairobi, Kenya non-stop? We can all agree that the shortest distance that we can travel from point A to point B is a straight line (as "straight" as the shape of the earth will allow...). Right?
Both Quito and Nairobi are within approximately 115 miles from the Equator. Using the globe earth, the shortest and most direct route to take would be to go east from Quito, staying within 115 miles from the Equator all the way. Using the U.N. flat projection map that Flat Earth promoters use, the most direct route would be to veer north of the Equator, crossing the mid Atlantic ocean and Europe, and back down south to Kenya.
On the globe earth, the Equator is unique in that you can follow that line east or west, and the shortest route from point A to point B on the Equator is to follow the Equator - either east or west - whichever is closer. On the U.N. logo flat earth model, the Equator line is a circle over a flat plane, so the shortest distance to another point on the circle would not be to follow the circle, obviously.
Here's the challenge. Have two jets (filled with a lot of fuel): One to fly the "Equator line" route from Quito to Nairobi - staying within 115 miles from the Equator; and the other one to fly the U.N. flat earth route that takes the plane northwest to over the mid-Atlantic and Europe and back south towards Africa. Which plane will have flown the shortest distance?
Here's the URL to a page showing and describing the U.N. logo showing the flat earth projection map favored by promoters of Flat Earth:
http://www.un.org/depts/dhl/maplib/flag.htm
It would be difficult to convince me that the shortest route would be other than the Equatorial route. There's so much more that can be said and argued on this issue, but I'll leave it here for now.