What is Non-Euclidean Geometry?
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I feel like these comments aren’t really ELI5 so here’s my take:
Take a piece of paper and draw two straight lines that cross in a 90° angle.
even If you had a really really big piece of paper those lines will never meet twice, right?
now take a balloon and pick a point on it.
From that point draw two small lines at a 90° angle, then carefully extend them around the balloon.
But now the lines meet for a second time at the other side of the balloon! How can two straight lines meet at two different points??
It turns out that it depends on the surface on which you are drawing, and if the surface isn’t flat (or euclidean) the rules can be different than if it was.
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