this post was submitted on 09 Jun 2026
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how the fuck i didn't realize that!!!!
Fuck,
so 1 in base pi is still 1, but 10 is pi
makes sense,
1 =pi ^ 0
10=pi^1
100 = pi^2
my intuition kept telling me that using an irrational base system would end up with all integers being irrational. didn't realize how easy it is to prove it otherwise
ie, I had a very bad conjecture and I gained better understanding why it was wrong
1 in base pi would be 1/π, wouldn't it? Why 1?
1 in base 10 isn’t 1/10 and in hexadecimal it’s not 1/16.
Decimal integers in base pi are 1, 2, 3, 10.2201…, 11.2201…, 12.2201…, 20.2201… and so on.
Basically: 10.2201… = 1 * pi^1 + 0 * pi^0 + 2 * pi^-1 + 2 * pi^-2 … which approaches 4 as you add digits.
But 1 is just 1*pi^0