this post was submitted on 14 Mar 2024
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Can pi be expressed with a finite amount of digits in another number system?
How about a pi based system, then pi is 1.
You're correct.
For reference: https://en.wikipedia.org/wiki/Non-integer_base_of_numeration
Possible, but then the diameter would be an irrational number
I don't think there's any technical reason we can't count in base pi
I'm pretty happy with being able to write integers in a finite number of digits. Wouldn't want to give that up.
Well we need an integer base number system....
"A base is usually a whole number bigger than 1, although non-integer bases are also mathematically possible."
https://simple.m.wikipedia.org/wiki/Base_(mathematics)
But it makes life harder
Not if you're mainly interested in counting multiples of pi.
nπ is much better