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The Math of Text Readability

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?"

16 of 282 comments (clear)

  1. Volumes not areas? by jakosc · · Score: 5, Insightful
    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...
    1. Re:Volumes not areas? by paeanblack · · Score: 5, Funny

      So why 'Volumes', not 'Areas'?

      It looked better in print.

    2. Re:Volumes not areas? by servognome · · Score: 4, Funny

      So why 'Volumes', not 'Areas'?
      Because 'Volumes' let you go up to 11.
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    3. Re:Volumes not areas? by OECD · · Score: 5, Informative

      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.

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    4. Re:Volumes not areas? by LBArrettAnderson · · Score: 5, Informative

      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).

  2. Not all that important by realmolo · · Score: 4, Insightful

    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.

  3. Buy the magazine to see the kerning in action! by Headcase88 · · Score: 5, Insightful

    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.
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  4. Print vs Digital by Reason58 · · Score: 5, Insightful

    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.
  5. Since when was WIRED interested in readability? by Ungrounded+Lightning · · Score: 5, Insightful

    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".

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  6. Kerning is not an exact science by Temeraire · · Score: 5, Informative

    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.

  7. Re:I'm not so sure... by UbuntuDupe · · Score: 5, Funny

    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."

  8. Does this really apply to screen-rendered fonts? by Entropius · · Score: 4, Insightful

    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.

  9. Disappointing by Anonymous+Brave+Guy · · Score: 4, Interesting

    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.

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  10. latex by dheera · · Score: 4, Interesting

    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.

  11. Web fonts don't have custom kerning pairs - hmmmm by rh2600 · · Score: 4, Informative

    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". ;)

  12. The biggest problem with readability on the web... by yellowstone · · Score: 4, Insightful

    ...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.

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