So here we are calculating pi

The thing about pi is that it is an irrational number, which means that it is neither an integer (a whole number) or a ratio of integers (a fraction). Anything else is an irrational number as first coined by Euclid around 300 BC, over 200 years after Pythagoras had refused to even consider them, inding them an abomination to the concept of Mathematics.

It's true that irrational numbers are ugly. Not only are they not not whole and cannot be expressed as fractions, but they trail on or infintity with no recurring decimals. Take 0,111111111111 recurring for example, an ugly fucker that can nonetheless be neatly written as 1/9. Irrational numbers don't do that.

At school and in basic calculations pi is usually approximated to 3.14 or 22/7, but this is not exact. Go here to see what pi looks like a hundred thousand digits after the decimal. Pi cannot be written down because it is ininite and because the digits just go on without pattern. That said, the random pattern of pi can be computed (not calculated, we need machines for this) using the ollowing equation:

π = 4( 1/1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 – 1/15 + …)

bearing in mind it goes on for infinity.

If one uses a value for pi using only the first few terms it gives a very approximate value. Knowing pi to 39 places after the decimal allows one to calculate the circumference of the Universe, accurate to the radius of a hydrogen atom.