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+ - Mathematicians Solve The Topological Mystery Behind The "Brazuca" Soccer Ball

Submitted by KentuckyFC
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 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."

Comment: Re:Maintain DMCA safe harbor? (Score 2) 92

by easyTree (#47390243) Attached to: Rightscorp Pushing ISPs To Disconnect Repeat Infringers

Surely they should be held at minimum partly responsible - I mean, how the hell did their stuff get all over the internet anyway?

"My dog is not in our house, it's on your lawn - therefore you deserve jail time."


Also, they seem pretty ironically named; "rightscorp" ? how about people's right to internet? to access all human knowledge (well, at least that part of all human knowledge which hasn't been locked inside the walls of academia, despite being funded by society at large) ? surely that trumps whatever petty bullshit you are referring to - some mere business interest which everyone is trained to pretend is somehow damaged when rightsholders allow their stuff to leak all over the internet due to failing to use appropriate measures to prevent it.

Disclaimer: I didn't read the whole summary :S

13. ... r-q1