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
A fun related fact is there is no simple formula for calculating the circumference of an ellipse (oval). You don’t just take pi and then multiple that by how much wider it is than tall. For each unique ellipse you have to calculate a special version of pi that isn’t 3.14159. So just in regular geometry there is already infinite versions of pi.
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