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Perfect tie knot mathematically found 135

An anonymous reader writes "Thomas Fink and Yong Mao of Cambridge University's Cavendish Laboratory have discovered six new "aesthetically pleasing" tie knots. Now that the perfect tie knot has been mathematically proven, will geeks everywhere flock to ties?" No.
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Perfect tie knot mathematically found

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  • I never understand why people think that geeks refuse to wear ties. I wear them to work 4 out of 5 days and don't really mind it.

    I don't try and wear those cartoon or otherwise humors ties because I think that's like saying "I'll wear a tie, but I'm really much cooler than that."

    I've noticed most of the marketroids wear those kind of ties. I just find a decent suit and try to use it as camo so I can hide in my cube and code undisturbed.
  • by Pasc ( 59 )
    Not all Gateways suck. One of my old PCs is a GW2K 486 and it just runs... good hardware.

    I wouldn't buy one today though.

  • My favourite tie is still my Christmas cows.

    Cows with Santa hats and green scarves.
  • ... to the "Tie Knot" app.

    I've given up on the whole tie platform because I never had an open source knot application to run on it - had to perpetually ask to 'borrow' copies of Tie Knot from friends, co-workers, etc., and not only that but the user interface sucked so bad that I had to get their help installing Tie Knot on my (admittedly antiquated and underpowered) green polyester tie *every* day.

    My old tie crashed every day, and no matter how hard I tried to baby it's uptime at the end of the workday, pulling it over my head, loosening it a little, etc. after about a week, Tie Knot was just far too much of a resource-hog and my tie system ended up constricted and laggy as hell.

    Maybe now that I can download the source to various Tie Knot implementations I can dust off the ol' tie, compile the source, and get it up and running again.

    Thank you OSS community! You Rule!
  • The real reason we don't like to wear ties: we can
    get away with it.

    Even while everyone else is wearing a suit and
    tie, we can waltz in wearing something comfortable
    (say, a t-shirt, shorts and tevas). It makes us
    feel better then everyone else to know we can get
    away with stuff they can't.

    It's classier than standing atop your boss' desk
    and yelling, "I am the only one who understands
    the computer systems! Worship before me, slave!"

    ----

  • The product is the product. I personally don't really care about (or even pay attention to, or could tell) a $150 suit from a $500 suit. If the product is good, that's all I care about. I don't mark the product up or down based on how well the salesman dresses.

  • by Enry ( 630 )
    I like ties (and suits) too. Just not at work. Aside from the rather standard selection, I also have bugs bunny, mickey mouse, winnie the pooh, and a couple other kickass ties. I had this really really great tie with Marvin the Martian on it, but it wound up getting soaked in a rainstorm, and alas has never been the same since. (Note to self: silk ties+water+dryer = bad idea.)
  • by Enry ( 630 )
    Err...no.. I just worked for the govt. in a facility where ties were the norm. Since I had to wear a tie, I figured I may as well do something other than the regular paisley and atomic structres of sugar that everyone seems to wear. Good thing was, the only other person who shared this opinion was the head honcho of our group, who ususally wore ties with cows on them.
  • Though I understand the baldness consideration (I should be plenty bald in 10 years), I am REALLY enjoying the Long-hair and suit thing. And, yes, I have the UNIX-beard (me young RMS... grunt). Nothing quite like it for comfortable non-conformity.
  • by Average ( 648 )
    What they failed to mention was that the bowtie was ignored because it fell more than a standard deviation of fun above any of their knots. I picked up a whole passel of bowties a while back. Once I figured out how to tie them, I've never looked back.

    My favourite bowtie is one from H-P back in the day with "schematic" caps and resistors on it.

    So, yeah... last big dress-up thing... I'm all about fun retro... Khakis, white shirt, blue jacket, Art Deco bowtie, khaki socks and Birkenstocks, and a wool Hound'stooth fedora, and my mid-back Jesus-style hair and a UNIX lover's beard.

    What a geek look.
  • Posted by Nino the Mind Boggler:

    ...the problem is with your _shirt_. You need to make sure you get one with a sufficiently sized collar.
  • Posted by mark_faz:

    Oooooh-wee. Take a dull subject and make it more dull. What next ? Which way round we're wearing our pants ?
  • Yes, I do like wearing suits, preferably three piece, with a tie. Am I now an untergeek? (I do own 18 computers... but fail at installing openbsd on my decstation).
  • Attempting to get the whole document.

    Should be avaliable at:
    http://members.tripod.com/~crystalake/tie/paper. html

    Which, if you prefer a clickable link, is here [tripod.com].

    Hope I can get it all down...
  • Makes it darn hard to read.

    Sorry about that guys.

    Pictures would NOT download for me.

    (and man, 30 mins to download 3 pages of how many?? I must be insane...)

    Of course, you could check out my project too... that's pretty insane as well.
  • And I mean quality-wise. Hopefully they've fixed this, but I doubt it (which is one reason their support site sucks for getting drivers).

    Gateway performs the wonderful function of changing parts out from under you in the middle of a production run. One day, you'll get a Cirrus Logic video card, the next it'll be an ATI, and yet another day, you'll get a Matrox. Motherboards change, too, as do drives and sometimes soundcards.

  • This man is essentially correct. Nothing impresses a woman more than a tie, a nice clean house, a basement full of Unix boxes all churning away on strange jobs, a nice car in the garage, an airplane in the hangar, and a nice salary to support it all.

    And of course, nothing impresses me more than a nicely dressed (or undressed) woman who can appreciate the above and who makes a nice salary to support even more of the above!

    I must be the worlds happiest man.
  • Designing tie knots by random walks
    This is an extract of the full article, which is online at Nature's web site [nature.com]. Unfortunately you'll need a subscription to see it there, so why not try your local newsagent? The equations, tables, and a substantial (the most interesting) chunk have been removed from this version.

    The simplest of conventional tie knots, the four-in-hand, has its origins in late-nineteenth-century England. The Duke of Windsor, as King Edward VIII became after abdicating in 1936, is credited with introducing what is now known as the Windsor knot, from which its smaller derivative, the half-Windsor, evolved. In 1989, the Pratt knot, the first new knot to appear in fifty years, was revealed on the front page of The New York Times.

    Rather than wait another half-century for the next sartorial advance, we have taken a more formal approach. We have developed a mathematical model of tie knots, and provide a map between tie knots and persistent random walks on a triangular lattice. We classify knots according to their size and shape, and quantify the number of knots in each class. The optimal knot in a class is selected by the proposed aesthetic conditions of symmetry and balance. Of the 85 knots that can be tied with a conventional tie, we recover the four knots that are in widespread use and introduce six new aesthetically pleasing knots.

    A tie knot is started by bringing the wide (active) end to the left and either over or under the narrow (passive) end, dividing the space into right (R), centre (C) and left (L) regions (Fig. 1a). The knot is continued by subsequent half-turns, or moves, of the active end from one region to another (Fig. 1b) such that its direction alternates between out of the shirt ( ) and into the shirt (). To complete a knot, the active end must be wrapped from the right (or left) over the front to the left (or right), underneath to the centre and finally through (denoted T but not considered a move) the front loop just made.

    [...the main body of the article was here: go and buy this week's Nature [nature.com] if you want to read it...]

    The symmetry of a knot, which is our first aesthetic constraint, is determined by the number of moves to the right minus the number of moves to the left,

    where xi=1 if the ith step is , -1 if the ith step is and 0 otherwise. Because asymmetric knots disrupt human bilateral symmetry, we consider the most symmetric knots from each class, that is, the ones that minimize s.

    Whereas the centre number and the symmetry s specify the move composition of a knot, balance relates to the distribution of these moves; it corresponds to the extent to which the moves are mixed. A balanced knot is tightly bound and keeps its shape. We use this as our second aesthetic constraint. The balance b may be expressed as

    [...equation elided...]

    and the winding direction i(i, i+1)=1, where i represents the ith step of the walk, if the transition from i to i+1 is clockwise, say, and -1 otherwise. Of those knots that are optimally symmetric, we desire that knot which minimizes b.

    The ten canonical knot classes {h, } and the corresponding most aesthetic knots are listed in Table 1. The four named knots are the only ones, to our knowledge, to have received widespread attention, either published or through tradition. Here we introduce some unnamed knots.

    The first four columns of Table 1 describe the knot class {h, }, whereas the remainder relate to the corresponding most aesthetic knot. The centre fraction /h provides a guide to the shape of a knot, with higher fractions corresponding to broader knots; along with the size h, it should be used in selecting a knot.

    Some readers may notice the use of knots whose sequences are equivalent to those shown in Table 1 apart from transpositions of , groups, such as the use of LRCRLCT in place of the half-Windsor (T. P. Harte and L. S. G. E. Howard, personal communication); some will argue that this is the half-Windsor. Such ambiguity follows from the variable width of conventional ties (the earliest ties were uniformly wide). This makes some transpositions arguably favourable, namely the last , group in the knots {5, 2}, {6, 2}, {7, 2}, {8, 3} and {9, 3} in Table 1. We do not attempt to distinguish between these knots and their counterparts; this much we leave to the sartorial discretion of the reader.

    Thomas M. Fink, Yong Mao
    Cavendish Laboratory, Cambridge CB3 0HE, UK
    e-mail: tmf20@cus.cam.ac.uk [mailto]


    --
    W.A.S.T.E.
  • So it doesn't mean very much without the graphics and that vital table, does it? Oh well, never mind. There's an interesting article in there on `two-photon microfabrication' which has been allegedly `used to demonstrate a scheme for three-dimensional [optical] data storage which permits fluorescent and refractive read-out, and the fabrication of three-dimensional micro-optical and micromechanical structures, including photonic-bandgap-type structures' (my emphasis), so it's worth buying anyway.

    PS I tried all of their suggested knots last night, and the only one I could make look half-way decent was the good old four-in-hand. *shrug*


    --
    W.A.S.T.E.
  • whats wrong with a dozen linux boxes in the bedroom? That way i have less to pay in heating bills.

    schematic
  • yep, still so. Any mirrors?
  • yeah, I've gotta tie @ home I sometimes wear out, it's called the, "noose" :)
  • Most geeks don't wear ties because the resulting restriction decreases spacial perception by ~5% as the day progresses.

    Right, and most computer geeks staring at a ~17" diagonal flat screen are in need of spatial and elliptical perception. :-)

  • Ever heard the Ludichrist song, "Well-Dressed Man Disguise"?

    Security generally only applies to shy, poorly-dressed people. Trim the hair, nails and face fur, carry a briefcase, look intent and you can wander almost anywhere.

    Suits double your consulting rates.

    In the States, suits are ideal for concealed carry.

    And folks will take your weird-ass Chomsky marketing/social control theories, amateur Sociology and Marxist economic analysis to mean you have an ivy-league MBA.

    A well-chosen and properly-tied tie doesn't choke, keeps you out of grunt work and dusty equipment (unless you want to look like a hero) and distracts people from the fact that you've been wearing the same clothes for the past four days.

  • Despite popular opinion suits are acceptable geek attire. (As evidence: one of the lone gunmen always wears a suit.)

  • Yes a lot of people consider the lone gunman theory to be fiction but do you have any actual evidence?
  • "will geeks everywhere flock to ties?"
    Why not? Won't it be even more exciting --oh, you mean as formal neckwear, never mind.


  • Don't worry for some code that was just lifted from the (working!) netbsd project I too am amazed at how insane the install for OpenBSD is on PMAX hardware. I never got it past remote booting the kernel.


  • oh yeah. i think so. mirror anyone???

  • as : "Will geeks everywhere flock() to ties?" the first time around?
    ----------------------
  • Wouldn't the Big Foot icon be more appropriate?
  • Maybe it's an oblique reference to Alan Cox's essay.
  • Just a quick note .. the lone gunmen are FICTION.

    brett
  • by Bigman ( 12384 )
    Yea, I used to buy GW2K PC's for a company that I worked for (.. well, employed me. I don't remember doing too much work..) and I found the build quality was excellent, the cost wasn't too bad, but they kept changing the spec (in fact, in one case we had 5 'identical' PCs ordered and they arrived as 3 different hardware configurations!!).
    Also, if anything went wrong the helpdesk was useless and you had to pay to ship back any faulty hardware to Eire with only a vague promise of a refund. Get someone to come onsite ? No chance.
    Still, perhaps they have changed since then....

  • I remember once when I worked at a software house and used to get stick from my manager for never wearing ties. So I bought this disgustingly wide kipper tie in flourescent green/orange/yellow and red, wore it to work for a few days, and funnily enough he never hassled me about it again...

  • 1) Screwdriver
    2) Plectrum (or Screwdriver, if you're brave!).
  • I fully agree. Maybe Rob is trying to improve the geek image by posting this story. I'm a SysAdmin so I'm probably considered mid to low on the nerd scale by the hacker crowd that frequents this site. Even so, I have plenty of coding friends who really need some help.

    Trim those nails (that includes cleaning under them), get a haircut, shave, shine those shoes (no, not your birks, the ones you keep with your pair of socks) and throw on a suit. You'll be surprised at the respect it commands when you walk onto a job. Plus, as was said, you attract a new breed of women. Some may be money grubbin, but you can at least sleep with them until you find the ones that just like men who look powerful and sucessful.

    M
  • Agreed.

    It should also be noted that you are not considered dressed up if you are wearing a polo type shirt you got for free from a seminar or conference. Look down. If you see a logo on your shirt from someone other than it's maker and the shirt has buttons, you aren't putting in enough effort.

    M
  • I can't hit the site, /.ed already?
  • Vomit? Amiga geeks love Gateway... probably has something to do with the fact that Amiga is a subsidiary of the GW2K parent.

    Now if only they'd release something truly geekworthy instead of just talking about it...

  • I never knew that...
    I just find some way that holds it in place and looks right on the front...
    I've probably never tied a tie the same way twice (exaggeration).
    Also, when I'm putting a tie on, mathematical perfection is usually *not* what's going through my head. Usually it's more like "uuuggkkk AIR! ugkkk! Why am I putting this damn thing on? ugggkk gasp gasp swear ... Damn... that doesn't look right ... try to undo slipknot ... gaaaaaak gasp ... whoops, wrong side to pull on ...
  • .. and they all stink.
  • A friend of mine made a web site called the necktie repository. Its useful for anyone who had trouble or doesn't know how to tie a necktie, like me.

    http://fly.hiwaay.net/~jimes/necktie [hiwaay.net]
  • wow... this is trasferring slower then aan ATM...
  • Honestly who really cares about this?

    I like to wear suits to work and prefer Grateful dead ties...
    But who cares!!!!


    Behold the power of cheese...
  • IT'S NOT UNDERWATER BASKET-WEAVING, IT'S UNDERWATER FIRE PREVENTION!!!

    sorry - pet peeve of mine.
  • I don't like to wear ties OR suits because they cost money that would better be spent on hardware. Going from a jeans/t-shirt environment to a suit environment can easily cost $2000.
  • I'm sure the women prefer you at your best :)
  • Has anyone else had trouble getting through to www.tcm.phy.cam.ac.uk? Either they've been /.ed already, or there's something wrong with my connection.
  • Two thousand bucks? Where is that money all going?

    The last time I went and bought a suit, I got myself a very nice Nino Cerruti -- a beautiful Italian number that, depending on what other accoutrements I put with it, can make me look like anything from a Mafia capo to a hip record company exec to a SoMa Internet consultant. It cost something like $350 or $400.

    The suit before that was a much cheaper black one that I picked up in a hurry for a wedding or something, and ran about $100, IIRC. Maybe $150.

    So let's say you get one nice suit at $400, two of lesser quality at a total of $300, and then with another $300, you can get as many button-down shirts and neckties as you need. Total: $1000.

    And that's taking the high-side estimates on those prices. What do you need for a suit and tie environment that costs a total of $2000?

    Though I'll admit that even only $1000 taken out of the computer equipment budget is pretty noticeable. $1000 can buy a decent amount of toys and stuff.

  • I don't think you can get all the button-down shirts, _shoes_ (don't forget shoes, many people frown on suits worn with sneakers), ties, maybe socks that you need for only $300.

    I'm pretty sure you can, although I hadn't really been thinking of shoes. Like another poster mentions below, you can pick up decent-looking shoes pretty cheap.

    I'll confess, I've only ever shopped for ties as gifts for others, but it always seems that the ones that aren't actually hideously ugly cost at least $50.

    Many of my favorite ties have been bought from street vendors for under $10 -- generally more like $3 or 4! (Washington DC, where I used to live, does have a lot of tie-selling street vendors. I haven't seen that phenomenon here in San Francisco...) Even in stores, though, they can usually be found for between $10 and 20. And I'm talking about at-least-decent ones, not those angry-fruit-salad hideosities that some places stock.

    As for the remaining socks and button-down shirts, neither of these needs to be very expensive. They also need not be conservative -- I used to wear my suit with brightly colored silk button-down shirts ($20 apiece at any of a gazillion shops in Georgetown) back in DC, and nobody batted an eye. For a similar price, you can get a standard, run-of-the-mill button-down shirt at K-Mart and again, nobody will care.

    So, my analysis there is: $100 on shirts gets you one for each day of the week. Figure another $50 for decent shoes, and then you've got yet another $150 for ties and socks. I'm not certain on sock prices lately, but I suspect $50 on socks will get you more of them than you're likely to need, and $100 on ties should buy at least 5 to 10.

    Then let's not forget dry cleaning costs (and the associated medical bills for the damage that dry cleaning fluid does to you). Also, let's not forget that these costs are not one-time things.

    I was responding to a consideration of "converting to a suit-and-tie environment", so I can and do count only the one-time costs. Also, since this is just the conversion, the suit need not be dry-cleaned, since it's already clean.

    Sorry to be nit-picky. :)

  • Then you're going to establishments that know what they're doing. And good for them! I can't stand places that discriminate based on dress -- I generally wear a motorcycle jacket, black t-shirt, etc. (Then again, few places will discriminate against that in San Francisco; they'd lose half the City as customers!)

    You might want to congratulate said establishments some time, just to let them know they're doing something right.

  • I think the Lone Gunmen point is a decent argument in this rather pointless debate. X-Files is fiction, sure. But it's by Geeks for Geeks fiction.



    w

    \//
  • i picked up a super-dope nino cerrutti suit for about $250. but although i happen to work at a place where everybody dons suits, i never wear one. it isn't coded in the employee manual, so i skip it. nobody notices. since i am in a technical position i consider it inappropriate attire.

    if one day i'm selling something again i will slap on my friend nino, preferably with my stylin', watercolory georges machado neck atttire.
  • I'll confess, I've only ever shopped for ties as gifts for others, but it always seems that the ones that aren't actually hideously ugly cost at least $50

    And your point is...?

    What do you care what your tie looks like? I mean, it's not like you wear a tie to impress babes^H^H^H^H^H^H^H^H^H^H^H^H^H^Himprove your social life or anything.

    I'm wearing a tie right now, and I hope it's loud enough for all you out there who get /. from a slow feed...

    King Babar

  • But even so, it is a tough choice. Do I buy a $1000 worth of suit that will look awesome and last me 5+ years, or do I sink that in a P2/VooDoo2 upgrade that will last me 5 days until it is obsolete.

    Tough choice.
  • I'd like to know myself why they're so damn short - when I do have to wear ties (which thankfully is rarely enough on those occasions when I have to make a customer visit) I'm always running around with a tie that ends over my bellybutton. I guess that means I just have to start wearing my pants right up in my armpits to make it look good. But, what do you expect at 6'4"... ;]

    Better yet, let's just forget this whole tie business and make jeans, T-shirts and sneakers the new corporate uniform!

  • No one actually pays these guys to study tie knots
    do they.

BLISS is ignorance.

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