The funniest part is that some people will never understand the absolute crusade that some mathematicians might fight over this one day
Funny
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gonna need this in every base
I'll start with base 2:
1/1 = 1
We should be friends
I just noticed what the numbers are. It really is easy to memorize. So convenient.
I wonder if there’s a related infinite sequence which converges on 8?
This sequence approximates an integer to arbitrary precision, not 8 specifically though, and never perfectly.
I tried it out using other bases, and the rule seems to be that doing this in base n results in n-2 with remainder n-1. So it doesn't ever actually converge, but the remainder becomes small very fast.
never perfectly
eyes you in binary
Hmmmm.....
Edit: you can kinda think of it being 0, plus the 1/1 that would have ended up as a remainder in larger bases. In base 2, it just ends up being a full 1.
The sequence in base 2 is only 1/1.
Wonder how close base-16 gets.
FEDCBA987654321 / 123456789ABCDEF
Off by '1.82959E–16' !
strange coincidence
See my other comment, it's no coincide– there's a pattern. I would love to see an actual proof for it though, I don't know enough to say why it behaves that way.
Shit like this makes me realise why people become mathematicians. You just play around with numbers and find funny facts about them.