The Golden Ratio
Apple's logo artists have infused the iCloud logo with some mathematical elegance. In this case, the golden ratio or φ.

The circles in the 'puffs' of the iCloud are sized in a ratio of 1:1.6, an approximation of golden ratio, as discovered by Australian designer Alan van Roemburg. It seems unlikely the proportion was unintentional; Apple's artists simply have an acute sense of the history of design and mathematics.

The golden ratio has been around since at least Euclid and Pythagoras. Fans of the Da Vinci Code should know it too, as Dan Brown has referenced φ several times in his books. No wonder iCloud seems so elegant and aesthetically pleasing.

Hat tip to John Gruber

Update: The original source of the image appears to have been Takamasa Matsumoto.

Top Rated Comments

emaja Avatar
171 months ago
So, how long before Apple gets sued by these Euclid and Pythagoras guys - whoever they are - for using their proprietary ratios?

...and yes, this is a poor attempt at humor.
Score: 9 Votes (Like | Disagree)
Hellhammer Avatar
171 months ago
I highly doubt this was intentional. They probably created a set of circles, copied and pasted them, rotated them, and there's your 'golden' ratio.

Giving them too much credit.

You would be surprised to see how widely the Golden Ratio is used.

//www.youtube.com/watch?v=fmaVqkR0ZXg&feature=related
Score: 5 Votes (Like | Disagree)
Consultant Avatar
171 months ago
This is by far the Best MacRumors article ever!
Except that Alan (June 15) is not the one who discovered it (http://stam-design-stam.blogspot.com/2011/06/icloud.html) (on June 9). Alan seems to be intentionally shady too.

Explained in the second part of the article: http://obamapacman.com/2011/06/icloud-logo-designed-with-triple-golden-ratio/

After iCloud was announced, I found their icon to be eerily similar to the CloudApp that's been on the app store for quite awhile..the only difference is one additional circle on the left. getcloudapp.com/[/URL] hasn't anyone else noticed this?
MobileMe was established before getcloudapp.

It's like that MobileMe had the icon before this other company did.
Score: 4 Votes (Like | Disagree)
nagromme Avatar
171 months ago
Giving them too much credit. They don't care about the minor details that much.

Image (http://i.imgur.com/74B5Z.png3)
I agree with that -- but you'd also be surprised how widely the Golden Ratio is used, unintentionally :)
Exactly. The mystique of the Golden Ratio is fun, but reality is more boring :)

I know the iCloud post was just for fun, so I’m not slamming it. But as a matter of interest: the Golden Ratio has NOT been intentionally used by great artists through history. You can find something “close” to that ratio in any image if you look for it. It’s like finding faces in clouds (no pun).

You could pick ANY ratio, say, 11-to-17, and find something very close to it somewhere in just about any image.

In modern times, the ratio is better-known and some certainly do use it. Apple may have too... but it’s a little off (thanks, stewart) and given that it was designed on a computer, I think the golden ratio in the logo is nothing intentional.

Read Mario Livio’s book, The Golden Ratio: The Story of Phi. And you won’t be disappointed: for every myth about The Golden Ratio that he dismantles on solid historical research, there’s some other thing you never knew about the number that’s even cooler, AND true. (Like the ways that numbers related to it appear in nature.)
Score: 4 Votes (Like | Disagree)
Gav2k Avatar
171 months ago
Very apple like
Score: 3 Votes (Like | Disagree)
luke.mac1 Avatar
171 months ago
I can't believe I'm the first to post this...

I guess every iCloud has a golden lining...
(p.s. i know it's supposed to be silver lol)
Score: 2 Votes (Like | Disagree)

Popular Stories

iPhone SE 4 Vertical Camera Feature

iPhone SE 4 Rumored to Use Same Rear Chassis as iPhone 16

Friday July 19, 2024 7:16 am PDT by
Apple will adopt the same rear chassis manufacturing process for the iPhone SE 4 that it is using for the upcoming standard iPhone 16, claims a new rumor coming out of China. According to the Weibo-based leaker "Fixed Focus Digital," the backplate manufacturing process for the iPhone SE 4 is "exactly the same" as the standard model in Apple's upcoming iPhone 16 lineup, which is expected to...
iPhone 16 Pro Sizes Feature

iPhone 16 Series Is Just Two Months Away: Everything We Know

Monday July 15, 2024 4:44 am PDT by
Apple typically releases its new iPhone series around mid-September, which means we are about two months out from the launch of the iPhone 16. Like the iPhone 15 series, this year's lineup is expected to stick with four models – iPhone 16, iPhone 16 Plus, iPhone 16 Pro, and iPhone 16 Pro Max – although there are plenty of design differences and new features to take into account. To bring ...
iphone 14 lineup

Cellebrite Unable to Unlock iPhones on iOS 17.4 or Later, Leak Reveals

Thursday July 18, 2024 4:18 am PDT by
Israel-based mobile forensics company Cellebrite is unable to unlock iPhones running iOS 17.4 or later, according to leaked documents verified by 404 Media. The documents provide a rare glimpse into the capabilities of the company's mobile forensics tools and highlight the ongoing security improvements in Apple's latest devices. The leaked "Cellebrite iOS Support Matrix" obtained by 404 Media...
tinypod apple watch

TinyPod Turns Your Apple Watch Into an iPod

Wednesday July 17, 2024 3:18 pm PDT by
If you have an old Apple Watch and you're not sure what to do with it, a new product called TinyPod might be the answer. Priced at $79, the TinyPod is a silicone case with a built-in scroll wheel that houses the Apple Watch chassis. When an Apple Watch is placed inside the TinyPod, the click wheel on the case is able to be used to scroll through the Apple Watch interface. The feature works...
bsod

Crowdstrike Says Global IT Outage Impacting Windows PCs, But Mac and Linux Hosts Not Affected

Friday July 19, 2024 3:12 am PDT by
A widespread system failure is currently affecting numerous Windows devices globally, causing critical boot failures across various industries, including banks, rail networks, airlines, retailers, broadcasters, healthcare, and many more sectors. The issue, manifesting as a Blue Screen of Death (BSOD), is preventing computers from starting up properly and forcing them into continuous recovery...
New MacBook Pros Launching Tomorrow With These 4 New Features 2

M5 MacBook Models to Use New Compact Camera Module in 2025

Wednesday July 17, 2024 2:58 am PDT by
Apple in 2025 will take on a new compact camera module (CCM) supplier for future MacBook models powered by its next-generation M5 chip, according to Apple analyst Ming-Chi Kuo. Writing in his latest investor note on unny-opticals-2025-business-momentum-to-benefit-509819818c2a">Medium, Kuo said Apple will turn to Sunny Optical for the CCM in its M5 MacBooks. The Chinese optical lens company...