What is the differences and what are the uses of non Euclidean geometry in the real world if there are any?
In: Mathematics
Euclidean geometry has a couple of axioms that look different in non-Euclidean space. One of the key ones is about parallel lines – in Euclidean space, parallel lines remain at constant distance to infinity. In hyperbolic geometry, they diverge and the distance grows. The easiest example of non-Euclidian space is the surface of a sphere – imagine two lines that are parallel to each other in one point of the sphere. Extend them one the surface of the sphere…they will start coming closer until they eventually meet.
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