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Golden Ratio

melted.design

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Re: Golden Ratio

#11

The golden ratio is the most irrational number: https://www.youtube.com/watch?v=CaasbfdJdJg This is why it creates some distinctive patterns when applied to circular/spiral shapes.

It's the fraction that converges the "slowest", in a sense. (It's the continued fraction of all 1's.)

Re: Golden Ratio

#12
(a) + (b) = (a) + (b) / (a) = 1.618

They can't into math, can they? Or is it a special notation of some sort?

Re: Golden Ratio

#13
post #12

(a) + (b) = (a) + (b) / (a) = 1.618 They can't into math, can they? Or is it a special notation of some sort?

It looks like they mean (a) and (b) to represent the lengths of the segments with those labels. Also, they use left-to-right operation order rather than the traditional order. Less ambiguously (and correcting an error),

   (a) / (b) = ((a) + (b)) / (a)

Re: Golden Ratio

#15
post #12

(a) + (b) = (a) + (b) / (a) = 1.618 They can't into math, can they? Or is it a special notation of some sort?

It should be

a / b = (a + b)/a = 1 + b / a = 1.618..

Re: Golden Ratio

#16

I love this because it is both bullshit and awesome. Like many things thats either a rule-of-thumb or subjective, it has been studied thoroughly, confirmed, debunked, and applied succesfully many times.

It’s just like Pareto Principle: it only works in 80% of cases.

Re: Golden Ratio

#17

"Golden Ratio is a natural ratio found everywhere. From flowers to shells, from our fingers to the galaxy, this mathematical ratio makes all forms look visually balanced and gratifying." Both of those claims have been broadly debunked, and the so-called golden ratio is grossly oversold.

It does show up in plants (artichokes, cactuses, sunflowers, pineapples, etc.), as the angle between successive leaves/seeds/petals. This is called spiral phyllotaxis. You can make some cool art out of this idea with a strobe light, https://www.johnedmark.com/phi/

It also shows up anywhere with pentagonal (or icosahedral) symmetry, since the golden ratio is the ratio of the diagonal to the side of a pentagon. So that includes e.g. various viruses with a shape based on icosahedral symmetry.

The stuff about shells, galaxies, etc. (and the supposed advantages of this specific aspect ratio for design / visual art) is generally bullshit.

Re: Golden Ratio

#18

While the Golden Ratio is really popular, there are many other ratios that are aesthetically pleasing for different scenarios. I’ve tried to visualise some of them: https://github.com/hnarayanan/orthogons/blob/master/README.m...

That reminds me of the classic proportions described by Jay Hambridge in The Elements of Dynamic Symmetry (1926). He was an art historian who argued that the Greco-Roman art and architecture was based on root rectangles. https://en.wikipedia.org/wiki/Dynamic_rectangle#Jay_Hambidge I just noticed that Wersin is mentioned right after him!

Hambridge's theories were quite controversial, but the book is an enjoyable read anyway. https://archive.org/details/ElementsOfDynamicSymmetryHambidg...

Re: Golden Ratio

#19

While the Golden Ratio is really popular, there are many other ratios that are aesthetically pleasing for different scenarios. I’ve tried to visualise some of them: https://github.com/hnarayanan/orthogons/blob/master/README.m...

That reminds me of the classic proportions described by Jay Hambridge in The Elements of Dynamic Symmetry (1926). He was an art historian who argued that the Greco-Roman art and architecture was based on root rectangles . https://en.wikipedia.org/wiki/Dynamic_rectangle#Jay_Hambidge I just noticed that Wersin is mentioned right after him! Hambridge's theories were quite controversial, but the book is an enjoyable read…

Have you found any utility in this stuff with your work?

I mostly just use frameworks that think about this stuff for me while working hard to keep consistency in spacing (padding, margins, etc) which functional ones like basscss and tachyons do a good job of pushing you towards (much more than Bootcamp and others).

Re: Golden Ratio

#20
post #11

The golden ratio is the most irrational number: https://www.youtube.com/watch?v=CaasbfdJdJg This is why it creates some distinctive patterns when applied to circular/spiral shapes.

It's the fraction that converges the "slowest", in a sense. (It's the continued fraction of all 1's.)

It might converge more slowly than any other simple continued fraction, but there are some super-slow to converge generalized continued fractions. A couple of examples that are slower than phi: https://en.wikipedia.org/wiki/Approximations_of_%CF%80#Conti...
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