If you can make a weird non-euclidean mathematical space where parallels lines actually *do* touch eventually, can you make a weird mathematical space where the ratio between a circle’s circumference and its diameter is something other than 3.14159…..etc.? Is there a geometry I don’t know where “pi” is just 3, for instance?
Following from that, the universe as we know it is based on certain fundamental properties, and I’ve heard speculation that there may be other universes (within a multiverse) that have different fundamental properties. In theory, could there some other universe where pi is 3?
In: Mathematics
yes and no. There are geometries where the area of a “circle” is not πr^2, but the actual mathmatical constant π has a lot of other uses and meanings that do not depend on geometry. these dont change, and the value π IS doesnt change with geometry.
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