I never got beyond calculus in school, and I’ve heard this term thrown around by smart math and science people bit have no clue what it means or why it’s special.
In: Mathematics
Euclid came up with a bunch of rules he noticed geometry follows. Parallel lines will never cross. If lines are not parallel and go on forever in both directions they will cross. Things you would take for granted and just intuitively understand, for the most part.
It turns out some break down if you do not work on a flat plane. For example on a globe, lines of longitude are parallel at the equator and cross at the north and south pole, and you can draw a triangle with corners that add up to 270 degrees instead of 180 degress.
So geometry on a curved surface is considered non-euclidean geometry.
Excellent video on that.
[https://www.youtube.com/watch?v=lFlu60qs7_4](https://www.youtube.com/watch?v=lFlu60qs7_4)
You can also run into more exotic non-euclidean geometry in fiction or video games. Designing a room that is bigger on the inside than the outside, or a doorway that opens up to the other side of the planet is easy in a game, and it violates the rules of Euclidean geometry.
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