Mathematicians Solve the Topological Mystery Behind the "Brazuca" Soccer Ball
KentuckyFC (1144503) writes "In the 1970 World Cup in Mexico, teams used a new kind of ball called the Telstar made from 12 black pentagonal panels and 20 white hexagonal panels. This ball has icosahedral symmetry and its own molecular analogue in the form of C60, the famous soccer ball-shaped fullerene. In 2006, a new ball called the TeamGeist was introduced at the World Cup in Germany. This was made of 14 curved panels that together gave it tetrahedral symmetry. This also had a molecular analogue with tetrahedral symmetry among the fullerenes. Now teams at the current World Cup in Brazil are playing with yet another design: the Brazuca, a ball constructed from six panels each with a four-leaf clover shape that knit together like a jigsaw to form a sphere. This has octahedral symmetry. But here's question that has been puzzling chemists, topologists and..errr...soccer fans: is there a molecular analogue of the Brazuca? Or put another way, can fullerenes have octahedral symmetry? Now a pair of mathematicians have finally solved this problem. They've shown that fullerenes can indeed have octahedral symmetry just like the Brazuca, although in addition to hexagonal and pentagonal carbon rings, the ball-shaped molecules must also have rings of 4 and 8 carbon atoms. The next stage is to actually synthesis one of these fullerenes, perhaps something to keep chemists occupied until the 2018 World Cup in Russia."
Which ball is the best for the players?
Personally I prefer the Telstar.
If builders built buildings the way programmers wrote programs, then the first woodpecker would destroy civilization.
http://en.wikipedia.org/wiki/F...
It looks like every world cup but perhaps a couple has had a different stitch pattern on the ball. Is there really that much need for innovation? I think it might be cool to have a "better ball" but doesn't the sport at some point lose something from the equipment changing so frequently? Comparing stats when the balls have different characteristics like how smoothly they'll roll, air resistance etc must be the explanation for soccer riots.
MDRMDRMDRMDRMDR pour les francais
I always knew Math was a load of balls... ;-)
https://twitter.com/MeredithFrost/status/477222276866142210/photo/1
Best mockery of the 2014 World Cup logo - EVER!
Also quite accurate for the Brazil-Germany, errr, match.
They join NFL! Stupids.
Anti-tank lingerie from Victoria Secret.
Anyone else notice that all the designs were done by Adidas?
And here I thought they only made Russian gangster suits...
More medium.com crap spam.
.. might have competition
There will be a brazuca in the finals at the world cup. Go Germany!
The game is called FOOTBALL, not "soccer". Now that you -in the USA (you were good enough in the Mundial, as my national team Greece was, congratulations)- start to learn about it and realize that it's played mostly with the ball in the foot... stop calling your rugby "football" (change it to something like, e.g., American rugby) and start calling football by it's name: FOOTBALL
(and it's time to adopt the metric system...)
....are smoother.
Damn, I was hoping this was about a bra bazooka.
I can't see those 8 member flat rings being at all chemically feasible. I really don't think this is possible to make as a carbon molecule.
Aromatic rings need to have 6 or 10 electrons in the delocalised orbitals, so an 8 member ring is going to need to have some other elements/groups to be at all stable...
"Brazuca" is a kind of a joking word to convey an informal tone. It means Brazilian, but carries a mix of feelings, from friendly to folk to simpleton to lame.
The article quite correctly calls the ball a football and never mentions the word 'soccer'.
I love math and all, and I love the science behind games. How they construct the sports gear can be very important...but this is a soccer ball...kick it...it bounces a mm higher because of chemical coating xyz....ugh...Be glad when this shindig is over.
Who cares if there's a molecule with the same geometry as the ball stitches?
this is the kind of shit news I expect to hear from some butthole news channel.
and it still won't help Brazil HUEHUEHUEHUEHUEHUE JAJAJAJAJAJAAJAJAAJAJAAJ LOLOLOLOLOLOLOLOL
(for you old farts out there, those are all "lol" in different ... languages ...)
You forgot the all important kkkkkkkkkkkkkkk that Brazilians use
In colIege, I knew a girl who had TWO of these! Woo, mama! She helped me with my Calculus, alright....
-
In an article about a breakthrough in molecular topology, I'm currently seeing, while browsing at 2,
-7 comments about the relative merits of the soccer balls that inspired this discovery,
-6 comments condemning sports fans in general and soccer ball buyers in particular,
-4 comments whining about the fact that the U.S. doesn't have the same regional dialect as the commenter,
-1 terrible almost-pun,
-1 comment that is completely incoherent and incomprehensible,
-1 complaint about religion,
and a grand total of 1 comment about molecular topology. Is is too much to ask that we could have some comments from posters who are interested in, you know, math and science? Here I was getting ready to dredge up all that symmetry and topology that got drilled in to me in grad school. Oh well.
I can appreciate that being a US-based board, /. isn't filled with soccer fans, but still, why all the poo-pooing on innovation? Does the newest iPod really do anything predominantly different than its predecessors? How about that Galaxy V versus the III? Saying the Brazuca and Telestar are the same is like equating the 15-inch CRT that came with your Hewlett-Packard to the current 32" flatscreen you're sitting in front of. They both let you see what your surfing, right?
As a fan and recreational player who spends about six hours on the pitch every week here in Soccer City, USA, I'm impressed with the Brazuca. The ball flies truer (or at least more consistently), reacts livelier off the foot, and, as a previous poster noted, feels much different when you get hit by it. I know this is anecdotal, but I'd argue these things matter to those that play/are interested/care. Just because you're not interested or it doesn't impact you, doesn't mean the innovation and change is bad. I don't see the value of an iPad/tablet, but I can appreciate that it's an approach that others appreciate and an approach that continues to be refined.
kekekekekekekekeke ^_^
Most appropriate Flamebait mod ever?
Required reading for internet skeptics
"In the 1970 World Cup in Mexico, teams used a new kind of ball called the Telstar made from 12 black pentagonal panels and 20 white hexagonal panels". Wasn't it 12 pentagons and 18 hexagons?-Ignacio Agulló
if it's good enough for 60 atom complexes of carbon, it's good enough for me.
OK ... so mathematicians proved you could have molecules with a symmetry similar to a new fangled soccer ball.
Is this good? Is it not good? Is it useful in any way? Or it this purely an intellectual exercise?
I'm afraid I don't grok chemistry with fullness, so I don't know if different symmetries give us different materials, or prettier chemicals.
I know shape usually defines the other kinds of bonds it can make, but I have no idea if this specific thing is of any benefit to anybody.
Can anybody give a lay summary for what the practical applications of this tidbit of knowledge actually are? Because I've got nothing solid here.
Lost at C:>. Found at C.
Ah, yes. The no True Religion Fallacy.
None except yours, and a perhaps few select others, I suppose. (The 'humble' christian ones? HaHaHa ...)
These sort of fallacies pop up in every rational discussion of the drawbacks and dangers of belief without reproducible evidence (ie non-anecdotal, like "I've SEEN Jeebus!') or critical thinking. So do erroneous statements about what kind and characteristics of religion exist and which do not. I doubt very much you have the experience or education to declare what is and isn't a religion. Theologians and philosophers have been exploring and debating such questions for millennia.
There are far more religions on earth and in heaven than are dreampt of in your philosophy, sexconker.
Ever been to a Southern Baptist Church? Or a revival tent in Louisiana? Or Maori rituals? I could go on.
The 2014 ball is plastic. Someone I know just got one. Playing on grass in the back yard, it got a puncture in it -- not enough to deflate it, but the plastic gets dented, or whatever, very easily. Suckage...
HUEHUEHUEHUEHUEHUE
If HUE represents laughter, then in which language does "LOL" sound like "LIGHTNESSLIGHTNESS" or "SATURATIONSATURATION"?
DRMDRMDRMDRM
That's something nobody's going to copy. </sarcasm>
Small.com is privately registered and parked. Large.com is registered to "Consultants at Large" but returning NXDOMAIN. This leaves Medium.com.
There's already an American League Championship Series, and it's the championship of one of the two conferences in Major League Baseball. Its winner plays the winner of the National League Championship Series in the World Series. Any ideas for new names for the World Series that aren't biased toward the American League or National League?
crap, you're right
I wonder if any of these shapes are found in the pit of modern nuclear weapons.
IIRC reading about the Fat Man devices the explosives/lenses were the shape of a conventional soccer ball, which as it turns out is sub-optimal.
I am very small, utmostly microscopic.
Hmmm, you see the slashtards, too? I thought it was just me.
http://www.proplayersupply.com/wilson_tdy_composite_leather_football_wtf1714b_p/wtf1714b.htm
First, the blurb should say synthesize, not synthesis in the last sentence. Second, the new balls have already been tested in a wind tunnel. The result is that at higher speeds, air does not stick to the ball (its non-turbulent), and therefore flies straight. However, as the ball slows down, air begins to 'stick to' the ball (laminar flow is no longer present), and so the ball begins to move erratically, allowing players to give the ball a particular 'spin' and when it slows down allows them to 'bend it like Beckham'(tm), with the spinning orientation having more stick on one side, and less stick on the other (like a baseball player throwing a knuckleball). This has been attributed to this world cup having more goals than the last three combined. Oh and one last point: Trust the mathematicians to work this out. You know the constipated mathematician worked it out with a pencil?
think Brazil could've capitalized on this research?
Goldman Sachs Predicts Brazil As World Cup Winner http://blogs.wsj.com/moneybeat...
Casteism
Has this got to do with the article? Or the OP?
Indeed, what the actual fuck are you smoking? And where can I get it?
Yesterday was also the 52nd anniversary of the launch of the Telstar-1, the world's first active telecom satellite, the world's first privately-ventured space-faring mission and first commercial payload into space. http://www.nasa.gov/topics/tec... PS: Does anybody else find it weird that Telstar and Death Star not only are phonetically similar, but look eerily so as well?