/sci/ - Science & Math

https://www.youtube.com/watch?v=MIxvZ6jwTuA

The Golden Ratio actually dates back to the Ancient Greek. A rectangle with side lengths forming a ratio of (1 + sqrt5)/2 (the golden ratio) is apparently very aesthetically pleasing. I believe it had no other significance to them.

>chlorite contains no chlorine
>theobromine contains no bromine

There were also silver and bronze ratios, but they've been lost forever

>>9720379
Look up the divided line (Plato). He splits a line in 4 parts each related to another via the "golden" ratio. I understand that this does not give the golden ratio more meaning but it had a lot of significance outside of being just aesthetically pleasing.

it's Golden as in 'fuck that's a golden ratio'

>>9719569
And ancients thought it was aesthetically pleasing.
You can find claims that it determines the dimension of things like the Parthenon.
However, when you measure photographs, it takes a bit of imagination to get the building to fit.
Furthermore, when people are given a group of cardboard rectangles with assorted aspect ratios and asked to select which they like best, it's rarely 1.618

The ratio DOES turn up in practical problems.
The ratio of successive numbers in the Fibonacci sequence approaches the golden ratio.
>https://www.mathsisfun.com/numbers/nature-golden-ratio-fibonacci.html
And it's the optimum solution to some packing problems.

there are actually some really neat properties of the golden ratio (the value is called phi)
phi= (a+b)/a = a/b
phi=(1-sqrt5)/2=sqrt(1+sqrt(1+sqrt(1+...
phi^2=phi+1 and 1/phi=phi-1
sin(pi/2 - i ln(phi))=sqrt(5)/2
sin(i ln(phi))=i/2
phi=1 + 1/phi = 1 + 1/(1 + 1/phi) = 1 + 1/(1 + 1/(1 + 1/(...

>>9721153
It is aesthetically pleasing because of its relation to the fibonacci sequence

no "ancients thought" thats why

Lesson 4!!!!

>>9719569
because english people are stupid.

it's called the divine ratio if you translate it correctly from latin.

that's why I hate that english is a "world language" you idiots all think the roots of words are also in english... unculutured swines

>>9722010
Latin translations butchered most of the original Greek works.

>>9722010
It's the golden cut in greek

>>9720898
>I understand that this does not give the golden ratio more meaning but it had a lot of significance outside of being just aesthetically pleasing.

But that is exactly what gives it its meaning. The line can be divided infinite times, really it ties into the Allegory of the Cave.

>>9721153
>>9721938
Pic related. Observations are but illusions.

>>9722010
Correct. It's the same reason retards confused alchemy's ultimate goal as "transmuting gold" when they really were refining materials to the luster and purity that gold exemplifies, not actually trying to make gold.

>>9722199
can you find a better picture?

>>9720903
this

>>9722199
if casually you are jonh wheeler can you make a vid calculating the neccesary resolution of a screen in a vr headset to be able to look inside the vr app in a virtual monitor and read text in a quality of 1080p? would be cool

>>9722740
here

>>9723075

lol what.

https://www.youtube.com/watch?v=U-at-y3MicE

>>9723114
im interested in the minimum resolution possible to achieve the normal reading capabilities inside vr so we can have multiple virtual monitors floating around

A E S T H E T I C S
https://mathematics.knoji.com/interesting-facts-about-the-golden-ratio-in-nature-art-math-and-architecture/

>>9723114
cool video

I raise you this https://www.youtube.com/watch?v=kxuU8jYkA1k