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Flat Earthers

I feel like I'm attracting more and more atomic crowd XD The shape of the universe can actually be a very interesting discussion :)
@KJVo - Following his -(longitudinal) Sun shadow tests, Kepler declared the earth was round, and then he arcuately came up with the circumference of the earth. You have dismissed a great mind, that solved the issue without the aid of computers, or a trip into space. :]
Let us assume for the moment a flat earth (flat on the macro-scale, in the same way we describe the universe as "uniform").
What geometry does it display?

There will be amazing prizes for 1) the most technically pretentious answer
2)the most laughably naive answer
3)any other category you can think of

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