经过短短几个月的努力，球体堆积领域的一个新人解决了该领域最大的未解问题之一。 在数学中，对最优模式的探索永无止境。球体堆积问题（sphere-packing problem）——即如何尽可能高效地将球塞进一个（高维）盒子——也不例外。几个世纪以来，它一直吸引着 ...

HANCOCK, N.H. — Anyone faced with the task of building a freestanding pile of spheres quickly discovers an obvious solution: Start by laying out the densest possible two-dimensional packing and then ...

Explaining the complex structure of tropical forests is one of the great challenges in ecology. An issue of special interest is the distribution of different sizes of trees, something which is of ...

This news release is available in German. Explaining the complex structure of tropical forests is one of the great challenges in ecology. An issue of special interest is the distribution of different ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American Earlier this year, Maryna Viazovska showed ...

We propose a new class of space-filling designs called rotated sphere packing designs for computer experiments. The approach starts from the asymptotically optimal positioning of identical balls that ...

How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries. Sphere packing might seem ...

Hancock, N.H. – Anyone faced with the task of building a freestanding pile of spheres quickly discovers an obvious solution: Start by laying out the densest possible two-dimensional packing and then ...