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The Math of Text Readability

Posted by Zonk on Thu Apr 19, 2007 06:11 PM
from the looks-good-to-me dept.
An anonymous reader writes "Wired magazine has an article that explains The Law of Optical Volumes, a formula for spacing the letters on a printed page that results in maximum readability. Wired's new logo (did anyone notice?) obeys the law. Unfortunately, Web fonts don't allow custom kerning pairs, so you can't work the same magic online as in print. Could this be why some people still prefer newspapers and magazines to the Web?"
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  • Volumes not areas? (Score:5, Insightful)

    by jakosc (649857) * on Thursday April 19 2007, @06:14PM (#18806021)
    It's basically kerning pairs, but instead of just a few pairs, it's generalized to maintain the area between all combinations of letters:

    The Law of Optical Volumes states that the area between any two letters in a word must be of equal measure throughout the word, and remain consistent throughout the body of text.
    So why 'Volumes', not 'Areas'?

    If Scott were more of a geometry wonk, he'd have dubbed it the Law of Optical Areas rather than volumes, but that doesn't sound as imposing.
    Why stop there? A Law of Optical Hyperspace would be even better...
    • by paeanblack (191171) on Thursday April 19 2007, @06:19PM (#18806093)
      So why 'Volumes', not 'Areas'?

      It looked better in print.
        • by OECD (639690) on Thursday April 19 2007, @08:54PM (#18807449) Journal

          I'm just running an incredibly modern-futuristic computer here, but my computer arranges letter closer together and further apart depending on their shapes... is that different from 'kerning'?

          Related, but more different than not.

          There are monospaced fonts, where each letter takes up the same amount of space regardless of shape, so xxx and iii are the same width. Then there are proportional fonts, where the letters are as wide as the rectangle it takes to contain them, so xxx is much wider than iii. This is what you're thinking of.

          Kerning takes it a step further. A proportional font that doesn't have some kind of hinting (and a program that can read/implement that) will still put too much space between the letters VA, while one that does will allow the V and A to 'invade' each other's rectangle. It can get quite complex with all the different glyphs (letterforms) that have to work with each other.

          I'm mystified as to who would say computers can't do this, since I use them to do exactly that every day. It really has more to do with the fonts and applications (and possibly the OS) you are using.

            • by LBArrettAnderson (655246) on Thursday April 19 2007, @11:33PM (#18808583)
              AAAAAAAAAA
              VVVVVVVVVV
              VAVAVAVAVA

              no it doesn't. It looks like it might when you just look at the two letters together... but it's just an illusion. (see above example).
              • Re: (Score:3, Interesting)

                No, you're wrong. On the screen font you happen to be using, under the OS you happen to be using, on the browser you happen to be using, using the rendering engine you happen to be using, it might or might not support kerning. So, you might or might not see the effect.

                To a great extent, the resolutions available for computer screens sufficient to even think about kerning have only recently become available to the mainstream. Kerning is a subtle, but important, effet that most screen fonts are designed to
                • by Pieroxy (222434) on Friday April 20 2007, @02:59AM (#18809355) Homepage
                  The parent's point is that a line of 10 Vs is as wide as a line of 10 As. So if a line of 5 "VA" is as wide, it basically means they don't invade each other. Do you mean to say those three lines are not the same width on your system ?

                  Then it just means one thing: You might look at two different fonts... Because your systems (OS, Browser) might just be different...
                • Re: (Score:3, Interesting)

                  Windows can do it in some applications. Actually, the one thing you can't fault Microsoft on is their work on fonts, typesetting, and encoding. Security? They're idiots. Usability? They're at best semicompetent. But in the NT/2K/XP/Vista line, they've done as much with OpenType, Uncode compability, and readability as any other OS vendor/group.
          • You seem to be using non breaking spaces for a purpose different from its intended one. Non-breaking spaces are designed to be used—well...—when you want to disallow a line break at a space, in situations like "A. U. Thor" or to keep words together where it'd be awkward to have them separated—a good typographer will not let a short word like 'a' be left alone at the end of a line but join it with a non-breaking space to the word following it, for example.

            You probably wan

    • Correct me if I'm forgetting my geometry, but volume is usually a 3-dimensional measure while area is for 2 dimensions.
    • Re: (Score:3, Insightful)

      "Volume" also has more general meanings such as "amount, bulk, mass" (according to Websters). I imagine this meaning is much older than the one used in math to refer specifically to 3 dimensional geometry.

      "Area" also has general meanings that go beyond 2d geometery (example: "area of expertise"). If looking at all meanings of the words, I think "volume" is really the better word.
    • by servognome (738846) on Thursday April 19 2007, @08:14PM (#18807087)

      So why 'Volumes', not 'Areas'?
      Because 'Volumes' let you go up to 11.
    • Re: (Score:3, Informative)

      This probably isn't the reason, but in math, the general term used for the capacity of an object, regardless of its dimension, is "volume". And so "length" refers to the volume of a 1-dimensional object, and "area" refers to the volume of a 2-D object.
    • I'd use mod points, but I'm a designer (Web and print) and this has to be set straight. Besides, who on /. actually reads TFA to comprehend these posts?

      Waa-aay back on the early printing presses, characters were steel/pewter “shots” and held together with molten lead. The shots were lead-alloy and would break-away from melting the pure lead once the print-run was complete.

      The letters each occupied a rectangular space, since the shots were forged from rectangular molds. When the shots were fitt

  • Well there IS pdf's, if you wanna be that picky......
    ~
    • True, PDF documents have kerning in them, but the hinting used to display glyphs in PDF documents on a 70 to 120 DPI screen without blurring the crap out of the glyphs distorts the spacing balance.

  • by realmolo (574068) on Thursday April 19 2007, @06:19PM (#18806097)
    Having all the typefaces look *exactly* right is one of those things that only printers really care about. Don't get me wrong, it's worth the trouble, for the *printed page*.

    But on the web? I don't think anyone would really notice or care that much. Plus, it'd be hard to achieve, since you can't rely on all machines rendering fonts at the same resolution, and you can't rely on fonts actually being present on all machines, and you can't rely on all the *versions* of a typeface actually being the same across different platforms. None of this is news. The web was designed to sort-of deal with these problems. Or at least, ignore them.
    Someday, when we're all running ultra-high-res displays, and someone releases a shitload of completey free (as in beer and freedom), high-quality fonts (I think this is the biggest issue, personally), then we'll all see the same nice fonts on our computers.
    • Re: (Score:3, Insightful)

      I think the point of the article wasn't about how important the quality of typefaces and fonts are, but some reasoning behind why some people get more fatigued than others reading text from a computer screen.
    • Having all the typefaces look *exactly* right is one of those things that only printers really care about. Don't get me wrong, it's worth the trouble, for the *printed page*.


      Look at the Slashdot banner at the top of the page. What do you see? Kerning. And if it wasn't kerned, it would look like crap. All designers care about kerning, not just those in the print world.
      • by GunFodder (208805) on Thursday April 19 2007, @07:55PM (#18806965)
        What kind of geek are you? I would think the biggest advantage of running 3200x2400 is the ability to fit at least 16 reasonably sized fixed-font xterms onscreen AT THE SAME TIME!
  • ...because the web is just too big to fit in my bathroom.

  • Is the lack of good font control. Lack of kerning is one thing. Another is you can't have font sizes for each individual fallback font - fonts can vary in size so much that you have to write for the most common font or risk throwing the design for everyone else.
    • So work in TeX or PDF or PS, or any of the other formats that are designed to be used with a single specific font and a specific page size, that can be tweaked endlessly.
    • by afidel (530433) on Thursday April 19 2007, @06:46PM (#18806351)
      I think you miss the point of this HTML thing. It's a markup language, not a display language. For that we have PDF and Display Postscript. I don't want that much font controll in the language because your exacting layout isn't going to work on my 320*240 (or smaller) portable display anyways.
      • Re: (Score:3, Insightful)

        I think you miss the point of this CSS thing. It's a style defining syntax, not a markup language. It exists to put a Style - you know, the "middle S" - on top of a generic markup language. Your tiny device should a) treat styles in a way appropriate for its capabilities, or b) suck it.

        Now, if people would just use HTML as intended, and use CSS as intended, my tiny little devices can ignore the web browser CSS and render the HTML in a way appropriate for their screens. Some people will know aobut tiny l
      • Re: (Score:3, Insightful)

        The point of the article is that current fonts don't have enough kerning, not thar there is none at all.
  • by Headcase88 (828620) on Thursday April 19 2007, @06:23PM (#18806143) Journal

    To see and appreciate the Law in action beyond our logo, you'll need to pick up a copy of the magazine.
    Well I guess that would be more profitable than just offering a .gif sample.
  • I always thought that kerning of installed (and injected) fonts is pretty much OS responsibility. So if you have kerning enabled (see, for example, Typography.Kerning in .NET, as we're talking mostly about Windows) adjustments of the font will be done automatically. So I guess if you force browser to download font via CSS2 that has kerning information it should "just work".

    Alas, I always thought that forcing downloading of custom font is a bad idea (jut like forcing user to use some fixed font size) as not
  • Print vs Digital (Score:5, Insightful)

    by Reason58 (775044) on Thursday April 19 2007, @06:24PM (#18806173)

    Could this be why some people still prefer newspapers and magazines to the Web?
    Intrusive ads, popup windows, flash animations and audio come to mind as reasons. Also the simple fact that many people like the freedom of being able to actually hold and move around the thing they are looking at. Kerning adjustments seem pretty low on the list of reasons IMHO.
  • The concept of WIRED magazine and its associated web site being interested in readability seems ludicrous.

    Consider their track record of using tiny type, garish color schemes, and layouts that I find difficult to characterize, making it nearly impossible for anyone with any of a number of (even slight) impairments to their eyesight (including especially presbyopia - the lack of accommodation that accompanies middle age) to read their publications comfortably - or even at all.

    I've often thought that this was done deliberately, to repell all but young readers, as part of targeting their circulation on the perceived avant-garde youth of gen-Y and beyond.

    Now they're modifying their logo for readability. ORLY? Is their target demographic aging enough that this is now a problem? Are readers deserting them due to headaches just as they graduate into serious spending money? Or are they just playing around with another art/layout fad?

    If they were really serious about readability I'd expect them to be modifying other aspects of their magazine and site layout. But TFA shows that is not happening. So I'll go with "fad".
  • hehe

    The new one is just the opposite of the old one, very interesting. I don't really see how this umm law applies more to one than the other tho.

    I do see what they are saying tho. A good sample is the button below for Plain Old Text. In that font it looks like the sans-serif T wants to get away altho in this font the seriffed T looks fine cause of a extra dot.
  • by Temeraire (913731) on Thursday April 19 2007, @06:33PM (#18806239)
    I have actually written software to kern text (for the sign-making industry) and can testify that kerning is not an exact science. Yes, one needs to even up the areas of white space between letter, but then one needs to bias the calculations in favour of the tops of the letters. And then make some allowance for any white space inside the letters, and .... and .... and ..... Spacing that is correct for 12-point type on paper would be quite wrong for a huge 3D sign on the side of a building, and so on.
          For perfection, there is no substitute for the human eye. The algorithms used by our brains to unscramble text are very complex.
        • If you're referring to METAFONT-style fonts, then there is some supplementary information you can encode in the font file to indicate kerning between specific pairs, and also some moderately flexible ligature support. It's nowhere near as powerful as what you can do with Opentype, but suffices for reasonable quality when setting Roman alphabet languages. It can also be adapted, if you try hard enough, to support more complicated scripts like Devanagari. The nastiest limitations for that sort of work usually

            • Re: (Score:3, Informative)

              If you want OpenType goodness in LaTeX, use XeTeX. Apparently it's in Debian/Sid[*] now that Etch has been released, via TeXLive 2007; I've been using it manually compiled against TeXLive 2005 for some time now. It has far and away the best OpenType font support I've seen on anything running on GNU/Linux; it's somewhat at the level of Mac OS X's stuff (except it uses backslashes instead of mice and OpenType instead of AAT or ATSUI or whatever Apple calls their font format).

              [*]: (Of course, you can run it on
      • ever try to put up a 100 foot long, 12 foot high cinder block wall using just your eye?
        I'm trying to imagine that. You would need strong eyes, I think.

        But I take your point. Might I also suggest that using an automatic spell checker is better than trying to compose on the fly.
  • Unfortunately the WIRED headline "underwire" doesn't obey those rules.

    I'm generally unhappy with kerning on websites, unless they use certain fonts (sorry, I've never cared enough to look them up, although oddly enough they were serif fonts whereas I like sans-serif on websites).

    The biggest issue for readability was:

    - not too small
    - decent line spacing
    - NOT black on white. Dark grey on white, or black on pale grey
    - Nice margins to other content

    (aside, remember when people used to call them founts back in th
  • by yusing (216625) on Thursday April 19 2007, @06:47PM (#18806355) Journal
    White space, fonts and text density are minor concerns to me (intense reader for decades). Computers are fine for relaxed reads, but for long texts, the medium's just wrong: I prefer paper books.

    Computers breaks my study habits ... intense focus and keeping my circulation moving ... and so I find PDF manuals distasteful. Books: Grab, flip open, crawl inside... quickly, wherever. Maybe it's long habit, but considering the e-book flop, I 'spect I'm part of a majority.
  • by Entropius (188861) on Thursday April 19 2007, @06:47PM (#18806357)
    The space between letters on my screen generally has a lot of anti-alias grey pixels, and even subpixel-rendering-derived colored pixels, in it. It's not empty.

    One approach would be to apply this sort of kerning logic to a font in a completely analog way (like one would in print), assuming an infinite-resolution display, and then use antialiasing and subpixel-level antialiasing to squeeze more resolution out of the screen.

    Nonetheless, text looks better when lines fall evenly on a pixel boundary -- if a line is one pixel wide, for instance, I'd rather have column 10 illuminated fully than a mix of columns 10 and 11 dictated by the kerning algorithm and provided by the antialiasing code.

    Zelaous application of the kerning rules would result in nearly all characters falling halfway between two pixels. Antialiasing makes diagonal lines look smooth, and it's wonderful for that, but I don't want all my text looking like it's displayed on an LCD at non-native resolution.

    Interestingly, The GIMP has two modes for its text tool -- one that makes some compromises on "the exact shape and spacing dictated by the font" in order to *improve* readability once you quantize distance by sticking the characters in pixels. I find this mode is far more readable for small characters than the one that doesn't.
  • Disappointing (Score:5, Interesting)

    by Anonymous Brave Guy (457657) on Thursday April 19 2007, @06:47PM (#18806361)

    I thought someone might finally have come up with some serious research showing how to objectively improve readability, but it's just a summary of kerning.

    Why is this area so bare of real scientific results? There have been a few studies into on-screen readability, typically measuring things like reading speed, accuracy of recollection afterwards, and subjective approval of the document by the reader. However, there are so many variables that people don't seem to control that it's hard to see any general patterns. For example, changing the font from 10pt to 12pt on screen may well not just scale the size by 120%, but also make the dominant strokes two pixels wide rather than one. There is little consistency among conclusions about optimal font size for reading across fonts or whether serif or sans-serif fonts are more readable, perhaps because there are so many variables.

    Oh well, I guess we'll just have to wait a bit longer for comprehensive research.

  • by M-RES (653754) on Thursday April 19 2007, @06:58PM (#18806467)
    Have you noticed that Wired's 'NEW' logo uses an almost monospaced font (ie: the kind used on old manual typewriters aka 'Courier' - where every character was the same width, hence the lowercase i with very large serifs to take up the space effectively)? Only the W is of a different width, but they've balanced it by using a slab-serif I and then balanced the useage of that amongst the sans-serif face by also including a slab-serif E so that it doesn't stand out in your subconcious. Such is the way of kerning... it's not mathematical at all, it's all in the 'feeling'. It's a purely aesthetic exercise and as has been quite rightly pointed out in the comments, a font that is perfectly kerned at 12pt becomes odd-looking when scaled up to a display size (even scaling to something like 120pt would show it) - hence some type families including a 'display' version specifically kerned for use at larger sizes. Typography... it's all in the whitespace y'know ;)
  • latex (Score:5, Interesting)

    by dheera (1003686) on Thursday April 19 2007, @06:59PM (#18806475) Homepage
    This is exactly why MS Word sucks and LaTeX is awesome, at least in terms of readability. Try reading a LaTeX'ed documunt on the screen, it is extremely pleasant.
    • Re:latex (Score:4, Informative)

      by Anonymous Brave Guy (457657) on Thursday April 19 2007, @07:31PM (#18806751)

      The irony, of course, is that the latest versions of Windows support Opentype pretty comprehensively, the latest fonts from MS support some Opentype features, pretty much all of the serious, commercial, professional-grade fonts you can buy these days come as Opentype (at least from sources like Adobe), Opentype features are far more powerful than anything in the TeX/METAFONT world, yet Microsoft were too busy revamping their UI again to add support for these features in Word 2007. So much for BillG's claims about readability on the screen being important.

  • by rh2600 (530311) on Thursday April 19 2007, @07:07PM (#18806537) Homepage
    Web fonts don't have custom kerning pairs

    Whilst true, this is a bit misguided.

    First things first - web fonts, and print fonts are the same. Fonts are fonts. Some are better than others and include more default kerning pairs than others. But rest assured, Georgia, Arial etc have got kerning pairs (for print and screen) and hinting information (for screen).

    Type rendering engines *do* support kerning pairs, that the typographer who designed the font decided to create and embed in the font file. There are a bunch of patterns that are used to expose badly spaced pairs that typographers use when checking these spaces and fixing them.

    Custom kerning for print is actually font independent and is done in the print design app of choice. Print design uses these same font files and their kerning pairs, and print designers won't custom kern large blocks of text, unless of course they want to spend 3 days per page of content. Print designers do often kern large headings and logotypes where any subtle problems are (literally) magnified and are obvious to the reader. Online designers do this in a number of ways, but typically resort to using an image (because the logotype font isn't likely to be on the end users computer anyway). CSS does give you the ability to create custom kerning pairs if you would want it, through a mixture of text-indents, spans and margins but its not very clean.

    So the author if this piece is correct, but a little misguided and not being particularly fair on "the web". ;)
  • FWIW (Score:3, Informative)

    by Dausha (546002) on Thursday April 19 2007, @07:15PM (#18806609) Homepage
    http://webtypography.net/ [webtypography.net] This link goes to a way of implementing Elements of Typology online; which is supposed to improve readability. Its interesting in that it sort of goes against the common idea with screen size and web text. The common idea, as I understand it, is that we should not worry about the 800X600 and use as much screen real estate as possible. Then, text columns can stretch as wide as my 19" monitor will let them. The problem is, that works against readability. The "optimal" is about 4.5". I use 37em for text body width, and that seems to work.
  • ...is that nobody seems to care about margins.

    In so many websites (and yeah, Slashdot, I'm lookin' at you) every square inch of screen space seems to be cram-jam full of content, pictures, navigation menus, adds, sidebars, logos...

    Stop. Please... just stop.

    • ...is that nobody seems to care about margins.

      I agree. Whitespace is very important. I prefer to have decent margins and padding when I create web pages and I tend to use san-serif fonts for readablity. Also fixed-width is very important too. It's harder to read wide columns. Another good place to start is A List Apart [alistapart.com], but there are other good resources as well.

  • Too simplistic (Score:4, Informative)

    by WillAdams (45638) on Thursday April 19 2007, @09:16PM (#18807611) Homepage
    As David Kindersley's experiments have shown, it's more about the interplay of light and dark as perceived by the human eye than mere physical measurements.

    See his _Optical Letter Spacing For new printing systems_ for a more detailed system and account --- but as Dr. Charles Bigelow has stated, no system fully accounts for all subtleties of all designs and the perceptions of the human eye. Co-designer of the Lucida superfamily, and having worked out the spacing system used for the Optima capitals sandblasted into Maya Lin's Vietnam Veterans' Memorial and newly placed as a profesor at RIT he's well-worth pying attention to.

    William
    • by UbuntuDupe (970646) * on Thursday April 19 2007, @06:33PM (#18806249) Journal
      Personally I've noted that Magazines and Papers put a good bit of thought into layout, but I've never found them easier to read.

      Yeah, I agree, though I think that has more to do with their dumbed-down slang phrasings than the typography.

      8-year-old: "6 divided by 3 is 2."

      Time magazine: "Okay, take the number six. You're all familiar with it, yes? It's a half-dozen. Now, imagine it divvied up into little chunklets -- three, specifically -- and each chunklet has the same number that math professor Gregory Beckens at Overinflated Ego University calls a 'quotient'. The so-called 'quotient' in this case? Dos."
    • Re: (Score:3, Interesting)

      The main difference between normal text and programs is that in texts the smallest semantic unit is the morphem (which is mostly a syllable), while in programs the smallest semantic unit is the single character (or symbol). It thus makes sense for programs to use monospaced fonts, because then every semantic unit has the same size.

      But we read text by reading morphems, and the reader even can easily be confused by hyphenation through morphems (re-adi-ng is difficult to read compared to read-ing), and morphem