New Twist on Ancient Math Problem Could Improve Medicine, Microelectronics
ANN ARBOR, Mich.— A hidden facet of a math problem that goes back to timeworn Sanskrit manuscripts has just been exposed by nanotechnology researchers at the University of Michigan and the University of Connecticut.
It turns out we’ve been missing a version of the famous “packing problem,” and its new guise could have implications for cancer treatment, secure wireless networks, microelectronics and demolitions, the researchers say.
Called the “filling problem,” it seeks the best way to cover the inside of an object with a particular shape, such as filling a triangle with discs of varying sizes. Unlike the traditional packing problem, the discs can overlap. It also differs from the “covering problem” because the discs can’t extend beyond the triangle’s boundaries. (more…)