MATH ASSHOLES CALL PI "NONREPEATING" BUT IT'S ALL BULLSHIT. LOOK AT IT. THERE'S THE NUMBER 4 IN THERE, AND THEN LATER, THERE'S THE NUMBER 4 AGAIN. FUCK OFF
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MATH ASSHOLES CALL PI "NONREPEATING" BUT IT'S ALL BULLSHIT. LOOK AT IT. THERE'S THE NUMBER 4 IN THERE, AND THEN LATER, THERE'S THE NUMBER 4 AGAIN. FUCK OFF
one of my favorite math facts is that, iirc, it's not actually proven there are an infinitely many 4s in pi. or 7s, or 69s, or really anything.
it turns out it's actually really hard to prove properties about decimal expansions of numbers
Hmm... and yet it's nearly trivial to see that there are at least two digits which appear infinitely many times. So in a binary expansion...
I really enjoy that we know that basically all numbers are like this, that is to say, the proportion of numbers that never repeat and have infinite of any finite string you care to name is 100%. It's literally 100%, that is not a rounding error. There is such a huge infinity of them that all other numbers like 5 and 3⅐ are just an annoying edge case you can ignore. They're so overwhelmingly common we call them "normal" numbers.
But we've never found one.
We can construct one by just saying 0.1234567891011121314... but that feels like cheating. We've never found a number like √2 or π or whatever and proven it's normal.
All numbers are like this. But no mathematician can name one without restoring to making one up specifically to be like that. Wild.
i've been looking at it for hours and i can only find these ten things in it over and over again. what a scam
you can't even go three digits into the decimal before you see the number 1 twice!
i know what you’re thinking. “obviously the . repeats, pi is 3.141592… you can see the . repeated not once not twice but thrice!” actually the … is just a shorthand. if you wrote pi out all the way to the end it wouldn’t be there