New Shapes Solve Infinite Pool-Table Problem
Kevin Hartnett, Quanta
Strike a billiard ball on a frictionless table with no pockets so that it never stops bouncing off the table walls. If you returned years later, what would you find? Would the ball have settled into some repeating orbit, like a planet circling the sun, or would it be continually tracing new paths in a ceaseless exploration of its felt-covered plane?These kinds of questions occurred to mathematical minds centuries ago, in relation to the long-term trajectories of real objects in outer space... Читать дальше...