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Mathematics Unravels Optimum Way To Lace Shoes

Seft writes "The knotty problem of choosing the optimum way of lacing up shoes has been solved by a new mathematical proof. There are many millions of different possibilities but, reassuringly, the proof shows that centuries of human trial and error has already selected out the strongest lacing patterns. However, the pattern using the least amount of lace possible, the decorative "bowtie" lacing, is usually only seen in shoe shop displays"

22 of 49 comments (clear)

  1. Strength is Not Enough by 4of12 · · Score: 5, Interesting

    I dunno about you, but I like comfort in my lacing system.

    If you have the highly zig-zaged pattern you can, with little force, end up applying an tourniquet to your foot.

    Less sharp angles will keep your foot more comfortable, not to mention giving you more lace with which to hang yourself - I mean, tie knots. Too many shoes come with short laces that can barely support a full bow.

    --
    "Provided by the management for your protection."
    1. Re:Strength is Not Enough by mph · · Score: 2
      Too many shoes come with short laces that can barely support a full bow.
      Hm, do you have large feet? My shoes seem to come with laces that are too long. I need to make sure the knot is very even, or I'll tend to step on whatever part is longer. I take a men's 8.5 or 9, and have suspected that they use the same length laces regardless of size.
    2. Re:Strength is Not Enough by 4of12 · · Score: 2

      My shoes seem to come with laces that are too long.

      Try tucking the long loops under the loose cross lacing near the front of your shoes.

      [I can't believe I've regressed to starting a Shoe Tying FAQ...]

      --
      "Provided by the management for your protection."
  2. Re:That's odd. by CableModemSniper · · Score: 2, Informative

    Not tie...LACE. If you look at the article you can see a diagram of what they mean.

    --
    Why not fork?
  3. Re:Do what? by Lord+Bitman · · Score: 3, Insightful

    Read the article? Are you Mad!?
    I personally hate that shoes, boots, whatever, when bought, must consistently be re-laced before they can be effectively worn. I know that their lacing is usually loose in stores so that people can try them on faster, but I want an accurate feel for the shoe when I get in there!

    --
    -- 'The' Lord and Master Bitman On High, Master Of All
  4. Screw shortest.. by sporty · · Score: 4, Funny

    Screw shortest.. i want a way to use my laces that are too long for the shoes i have without buying new ones. Cutting them will only give me frayed eneds.

    -s

    --

    -
    ping -f 255.255.255.255 # if only

    1. Re:Screw shortest.. by pcmills · · Score: 3, Funny

      Pre flame rule....

      1. Take off shoes!

      --
      Ask Slashdot - google for stupid people.
    2. Re:Screw shortest.. by n-baxley · · Score: 2

      Oh, I'm afraid not! *ba dump bump* ...
      Get it afraid not ~= a frayed knot. ...
      it's funny, come on.

  5. What about single side lacing? by Soul-Burn666 · · Score: 5, Informative

    Where I live, in the army, you lace by first knotting one side of the lace to the first eyehole and then make an above connection to the eyehole on the other side (from outside), then you go up one eyehole, and then go again to the other side... eventually leaving you with only one side of the lace to tie somewhere... After it's done, you see only horizantal laces, all the vertical ones are below. That way it is easier to cut the laces if you get injured.

    Also, needing only to use one lace makes lacing up and down faster, tho you need to get used to the fact that for each level of eyehole you need to lace in the opposite direction.

    Something like this:

    *-o
    o-o
    o-o
    o-o
    o-o
    /

    Where * is the knotted side and / is the leftover, coming from under the eyehole.

    --
    ^_^
    1. Re:What about single side lacing? by Anonymous Coward · · Score: 3, Funny

      In Soviet army, boots lace YOU!!

    2. Re:What about single side lacing? by Dannon · · Score: 2
      Quotes from the article:
      The most widely used "criss-cross" and "straight" lacing patterns were identified as the strongest. But criss-cross came out on top for a short, wide set of eyeholes - that is, when the vertical distance between eyeholes is low, and horizontal distance is high. Straight lacing came out tops for a long, skinny set of eyeholes....

      Furthermore, most people, including Polster, opt for criss-cross lacing not because it is stronger, but because it is easy and you do not end up with uneven ends - a big risk with straight lacing. Straight lacing is sometimes used in the army because, if the foot is injured, you can cut the lace with one swipe.
      --
      Good judgment comes from experience.
      Experience comes from bad judgment.
    3. Re:What about single side lacing? by floydigus · · Score: 2, Informative

      This is typical army shithead technique.

      I used to be in the army cadets here in the UK and they used to make you do your boots like this - especially when you showed them there was a better way.

      The problem is that you ONLY have one end of the lace to tie off. This is clearly a PROBLEM because it is HARD .
      Now. How about a way of lacing shoes where you only have one crossing of the lace between each pair of holes, but you can still tie in a bow, like 99% of human shoe users do?

      Pay attention. Here comes the science bit...

      5a 5b
      4a 4b
      3a 3b
      2a 2b
      1a 1b

      Start with the lace threaded halfway through 1a and 1b from the outside in. Now do this...
      1a, 2a, 3b, 4b, 4a...
      1b, 3b, 3a, 5a, 5b...
      Sometimes at the top you need to frig it just a little.

      --

      All things in moderation; including moderation

    4. Re:What about single side lacing? by Soul-Burn666 · · Score: 2

      You circle with the leftover around your leg (NOT THE SHOE!) and then you put it under the rubber bands that close the lower part of the pants.

      Also, you can turn the sock on it to make it really strong.

      --
      ^_^
    5. Re:What about single side lacing? by CreateWindowEx · · Score: 2, Funny
      >Now. How about a way of lacing shoes where you only have one crossing of the lace between each pair of holes, but you can still tie in a bow, like 99% of human shoe users do?
      So who are these non-human shoe users, and what do they do with their laces? Or do they have to use a different lacing algorithm because they have three columns of holes instead of two like us humans?
  6. Hiking up & down mountains by bbonnn · · Score: 3, Informative

    Of course, this study doesn't take into account terrain. Really hard-core backpackers lace their shoes differently depending on whether they're ascending or descending a mountain.

  7. This proof is completely BIASED... by tswinzig · · Score: 3, Funny

    ...towards people with feet!

    --

    "And like that ... he's gone."
  8. Math != reality by linuxwrangler · · Score: 2

    This is further proof that mathematicians live in that interesting other-world where shoes are laced in a perfect plane, eyelets are precisely aligned and friction does not exist. The rest of us live in reality.

    --

    ~~~~~~~
    "You are not remembered for doing what is expected of you." - Atul Chitnis
    1. Re:Math != reality by atomicdragon · · Score: 3, Funny

      I found that some of this stuff applies real well to reality. After a term of hard work in a topology class, the most important and practical thing I have learned is that it is impossible to tie shoe laces in four dimensions. Thanks to the work of generations of mathematicians, we know not to use shoe laces if another dimension were ever discovered. If it were not for mathematicians, how else would you be prepared for hiking in the fourth dimension?

    2. Re:Math != reality by Lars+T. · · Score: 2

      I see you are mad that sombody took your job.

      --

      Lars T.

      To the guy who modded me down from perfect to terrible Karma - Apple haters still suck

  9. A new mathematical proof... by duras · · Score: 5, Funny

    Not for the faint of heart... it uses string theory.

  10. What about TYING shoes? by rubinson · · Score: 2

    I'm disappointed. I was really hoping that this was a proof of how best to tie one's shoes. My shoelaces are always coming untied. I'm beginning to think that I never learned the proper way to tie shoes.

    I blame my mother.

  11. Re:Forget about what God _drives_... by Kibo · · Score: 2

    You didn't see that episode of Married With Children?

    --
    --Jimmy has fancy plans; and pants to match.