Even worse is Euler's Identity
Has always driven me nuts that pi is an approximation.
That makes you a scientist. It allows you to pursue things that have never been understood before. That is good. I am an engineer, I am satisfied with an approximation if it can adequately be used to serve my purpose to make something useful. And make millions of them.
The various sizes of infinity is interesting but for me not very useful. Sort of looking at dazies growing on a hillside.
Pi is not an approximation.
Even worse is Euler's Identity
You don't EVEN want to think about the "Fine-structure constant" then ...
“The strength of the familiar electromagnetic force between two electrons, for example, is expressed in physics in terms of a constant known as the fine structure constant. The value of this constant, almost exactly 1/137, has puzzled many generations of physicists. A joke made about the famous English physicist Paul Dirac (1902-1984), one of the founders of quantum mechanics, says that upon arrival to heaven he was allowed to ask God one question. His question was: "Why 1/137?”
― Mario Livio, The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
I like pecan pi......
Pi as a fraction is a real number not an approximation. Pi as a decimal is an irrational number and goes on infinitely, I think. If the above is true it might have to do with the mechanics of the number system we use, but I do not know how that could be.
Pi are Round.
Cake are Square.
