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
Euclidean geometry is what we experience in this world. It has rules such as walking east 1 mile then north 1 mile is the same as walking sqrt(2) miles on the diagonal. It’s just life.
Well, mathematically all sorts of other “worlds” can exist and still be internally consistent. For example, the diagonal above could be equal to 2 miles. What? That’s not how diagonals work. Yep, you would have to be in non-Euclidean space for that weird diagonal to work, but it turns out, that mathematically this new world actually makes sense.
Non-Euclidean geometry is simply all mathematics that does not apply to the world that we live in.
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