A Quasi-quasicrystal
Aug. 5th, 2008 07:33 amScience News / A Quasi-quasicrystal
Jules Mikhael and his colleagues didn’t set out to make a material with a structure that had never been seen before, much less one that combines order and irregularity in a whole new way, one that Archimedes hinted at 2,000 years ago, one bound together by the Fibonacci sequence. They just wanted to understand a quasicrystal.
Even that wasn’t such a modest goal, because quasicrystals are pretty odd critters. Slice one in half, and there is a sort of mosaic with repeating shapes like tiles, much like a crystal. But here’s the bizarre part: Spin the resulting mosaic a fifth of a turn and often its tiles will line up exactly as they were before you spun it.
But that kind of five-fold symmetry is “forbidden,” because mathematicians have shown that no repeating flat pattern has it. That’s why you’ve never seen a bathroom tiled with pentagons—it’d be impossible to cover the whole surface with no gaps
This is mindbogglingly amazing. You must check out the pictures and read it. And if it doesn’t make sense, keep reading it until it does!