Tag archives: mathematics
By Ian Randall
If you’re as impatient as I am, the worst part about flying off for your summer vacation is the interminable hold-up that sometimes occurs right before take-off – waiting for the plane to taxi onto the runway and desperately hoping the in-flight entertainment will kick off soon. But these annoying delays may soon be cut down thanks to Georgios Vatistas and colleagues at Concordia University in Montreal. The team has developed a new mathematical airflow model to help refine the safe separation distances needed between planes during take-off and landing.
As an aeroplane moves along, the lift-generating difference in pressure between the top and bottom surfaces of its wings causes air to flow out from beneath each wing and up around the wing tip. This creates a circular vortex pattern behind each tip (pictured above), with a downwash in-between – forming a turbulent wake that can be hazardous to any craft that passes through it. If large enough, this turbulence can roll the next aircraft, faster than they can resist – leading to a crash.
By Hamish Johnston
With the final two matches of the FIFA World Cup to look forward to this weekend, I thought I would sneak one more football-related story into the Red Folder. Over on the arXiv blog, there is a nice commentary about the topological nature of World Cup balls through the ages. Why? Well, two chemists in Taiwan have worked out a way to create a carbon-based molecule with the same shape as the football currently being used in the tournament in Brazil. Called the Brazuca, the ball is made from six panels that each have a four-leafed clover shape. Together, they form a structure with octahedral symmetry.
By Matin Durrani
With all the talk yesterday of evidence for inflation and signs of primoridal gravitational waves imprinted on the cosmic microwave background, many non-physicists (and probably quite a few physicists too) might have been left scratching their heads at the implications of the findings obtained by the BICEP2 experiment at the South Pole.
Unfortunately, there’s no getting away from the fact that many concepts in physics are hard and that cutting-edge experiments are incredible feats of technical endeavour. We can, though, all take solace from the fact that physicists at the frontiers of research have often spent decades living and breathing their subjects, which means they know the basics of their own field far better than anyone else.
By Tushna Commissariat
If you like piña coladas and quantum mechanics, then we hope you are currently on the two-week “Bright Horizons 19” Southeast Asia cruise, as on board is physicist and writer Sean Carroll. He will be giving multiple lectures over the next 15 days on everything from the Higgs boson to dark matter and other fundamentals of quantum mechanics. Also floating along with Carroll are other lecturers who will cover topics from natural history to genetics to military strategy. If, like us, you are stuck at home, you can take a look at Carroll’s slides on his blog, maybe have a cocktail while you are at it.
By James Dacey
If you have ever talked with your arty friends about the sense of “beauty” you feel from maths, you may well have been greeted with a sympathetic smile. Perhaps even with jeers of derision. Well, next time you find yourself in that position you will have some scientific evidence to back up what you are saying. A group of researchers in the UK has demonstrated that getting your noggin around an equation can trigger the same part of the brain as staring at the Mona Lisa or listening to The White Album.
In an experiment described in Frontiers in Human Neuroscience, 15 mathematicians were presented with a series of 60 equations and asked to rate them for their beauty on a scale of –5 (ugly), through to +5 (beautiful). The same subjects were then hooked up to a functional magnetic resonance imaging (fMRI) machine and asked to view the same list of equations. It turned out that when mathematicians viewed the equations they had previously rated as beautiful, it triggered activity in a part of the emotional brain associated with the experience of visual and musical beauty.*