What is Non-Euclidean Geometry?
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Euclidean Geometry can be drawn on a flat piece of paper with straight lines, circles and curves. There are a couple rules that you can count on to make predictions that will always hold, eg if you have four equal line segments with four 90 degree turns, you must end up where you started and you’re now looking at a square.
Non-Euclidean geometry is done on a surface or in a space where these simple rules dont hold. If you’re drawing on a ball, you only need three equal line segments with three 90 degree corners to end up where you started, and you’re now looking at a 3D bendy triangle with three right angles. This violates the rules of Euclidean space, hence a spherical surface is a non-Euclidean space. It just means it operates outside the normal standard rules like the example above.
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