There are only a handful of truly legendary numbers, like 0, 1, and Euler’s Number. And there are only 10 digits from 0-9, so it would make sense that we can shift them around to see some interesting things… right?
Sometimes it feels like too much of a coincidence, like being able to take the reciprocal of Pi and permute its digits into the reciprocal of the Golden Ratio. Not enough for you? Tack on another Pi digit and throw it in front of the reciprocal of Phi and you’ll get the actual Golden Ratio’s digits.
HOW CAN THIS BE A COINCIDENCE?!
#math #mathematics #vsauce
source

2 to 9. Two to 9
"ONE DIVIDED BY FEE"
φ
Golden ratio is half of phi
The most beautiful number
V! sauce! 2! 225TH ! 3spces
4/√(φ + φ⁻¹²) = 3.141592
I need more
This guy teaches me more than math class❤
Phi like Fee
If you take infinite digits of pi you can permute them to match phi exactly
That’s not the v Sauce
These are just coincidences basically, the numbers are not really related but you’re picking up on a pattern when you rearrange the digits permuting is kind of like anagrams for numbers or sets but if you choose any amount of digits of pi you could actually make any number. If you flipped a fair coin an infinite amount of times and recorded the sides as binary code you could encode anything.
Similar To This, e, i, and pi can merge to e^i(pi), and it appears EVERYWHERE for sum reason
Im sorry, but this is a golden ratio
Ratio
Give me many digits 0-9 and I can make many magical numbers
Even after watching some videos I still don’t fully understand what the golden ratio is or why it’s so important
not the best video IMHO
pi ~= 4/sqrt(phi) see Kepler's triangle.
Note that the golden ratio is not rational and hence it is probably a coincidence