# Apple's displays are moving towards the Golden Rectangle

Posted:
edited January 2014
I was doing a report on the Golden Rectangle/Golden Ratio in math class and I decided to check Apple's widescreen displays to see how close they were to the Golden Rectangle. For those of you who don't know, the Golden Ratio is a ratio found often in nature. It maps out the Fibonacci sequence (1,1,2,3,5,8,13, etc. with each number being the sum of the previous two terms). Some even say it's the most "pleasing" shape of rectangle to human eyes, but that's a matter of opinion.

Anyway, the ratio is 1.62:1, or in whole numbers, it's any two consecutive terms in the Fibonacci sequence divided (the larger the numbers, the more accurate).

Apple's displays have these ratios:

1152x768 (old TiBook)- 1.5:1

1280x854 (new TiBook)- 1.5:1

1600x1024 (22" Cinema)- 1.56:1

1920x1200 (23" HD Cinema)- 1.6:1

It looks like they're moving towards the golden rectangle on their displays. For the sake of saving money, they'll stick to commonly used pixel numbers (they're not going to make a 1944x1200 display), but I think it may be a trend. We can even predict future display resolutions like this.

Posts: 392member
Neat observation. Considering that the next flat panel display is rumored to be a 19 incher, how do we see if a wide-screen version will fit the same ratios? I'm applying what I remember of Geometry (the Pathagorian Theory) to come up with this:

x2*y2=19 (the "2" means "squared")

where x and y are the legs (sides) of the display and 19 is the hypothenus (diagonal). Who knows how to solve this?
Posts: 7,112member
[quote]Originally posted by clonenode:

<strong>Neat observation. Considering that the next flat panel display is rumored to be a 19 incher, how do we see if a wide-screen version will fit the same ratios? I'm applying what I remember of Geometry (the Pathagorian Theory) to come up with this:

x2*y2=19 (the "2" means "squared")

where x and y are the legs (sides) of the display and 19 is the hypothenus (diagonal). Who knows how to solve this?</strong><hr></blockquote>

It's Pythagorean, and it's x^2 + y^2 = 19^2, BTW.

16.2 x 10 inches is almost exactly 19 inches diagonal, as it turns out.
Posts: 392member
Amorph, I stand corrected. I've never had to type a squared variable before without having a superscript (or superior) command at my disposal.

Also, thanks for knowing how to spell "Pythagorean". At least you had constructive info to give... unlike some of the know-it-all trolls on these boards.

[ 05-30-2002: Message edited by: clonenode ]</p>
Posts: 123member
Great observation. I've always felt that the widescreen is much more pleasing on the eyes. Now we (sort of) know why.

At any rate, what I find interesting is that even though Apple is making these strides in interface design, the internet is best viewed from a more vertical alignment - as web pages are scrolled through vertically. But yet, the widescreen has it's apparent psychological advantages.

It's always interesting to find web sites that have horizontal scrolling - like new movie web sites. Almost a new paradigm in navigation.
Posts: 5,602member
Whoa, cool! For both!

Where are the horizontal sites, Mr. Fantastic?

And HELL yes, I have nothing but lust for the 22 inch screen. I used one for hours yesterday, and got up feeling as if hadn't been sitting in front of a computer. WOW. If those were cheaper, EVERYONE would have one. Once again, Apple leads, eventually PeeCees will catch up. I always thought widescreen pleased me, I think this is one plausible explanation. However, it's also probably because we see in "wide-screen"

Will Apple come out with an even bigger Cinema Display? That would be so nice to go and use at a store, and burn CDs with (whoops, I mean "try out"... I've tried that Dual 1 Ghz / 22inch out a lot, I think they're starting to see a pattern! Good thing I'm going to work there!)
Posts: 3,833member
Although a horizontally oriented screen isn't the best for web browsing, it does allow you to have two web sites side by side. Or it lets you still see other open applications while you're browsing.

It would be cool if there was a Radius-style rotation option. You could turn it on its side and a mercury switch (or perhaps a digital thing that's safer) would switch it from widescreen to portrait view.
Posts: 21member
Aquatik - here's a horizontal for ya -

a New Zealand band site, great dub music....i think horizontals are th best but don't encourage others to build them as their rarity makes me look "creative", giving an individual "standout" touch to sites without effort. People have commented on how good they look & how natural they seem - perhaps more like a book than that forever scrolling down thing....

(& i don't got no widescreen/flatscreen, stuck on a G2 w/15" old monitor, aaarg!)

let me know how you find it, ok?