Why Does π Occur All Over Math?

for example, just about every interesting plain curve involves π. See: Visual Dictionary of Special Plane Curves.

the only reason i can think of is that it's the circular function. (that is, the essence of trig function. (See: Sine Curve.))

but it happens in probability too. For example: Buffon's needle.

the Wikipedia article indicates that Buffon's needle is part of a problem in in geometric probability. So, perhaps that ties to the circle, therefore π. Circle itself can be considered as a result of circular function. i.e. the trace of a constant length with one end fixed and the other end moves in a constant speed. So, we can consider that the relation of Buffon's Needle is tied to circular function.

but are there other occurrence of π that has little to do with circle? (For example, it appears in series often. How's this explained?)

Popular posts from this blog

11 Years of Writing About Emacs

does md5 creates more randomness?

Google Code shutting down, future of ErgoEmacs