eli5: Can’t we just create a different scale with pi as an integer?

Question

We have number like pi and √2 that are problematic in some cases.
Does it exists a branch of math that uses them as units and recalculate every number in that scale to simplify some calculus?

Like
-π, 0,π,2π,3π and so on.

In: 2

Answer 1

There’s a wikipedia page that covers this: https://en.wikipedia.org/wiki/Non-integer_base_of_numeration#Base_%CF%80

We can use a different _base_ to make certain solutions more elegant within that base, but its utility is limited if you need to convert to another base.