In 1611 German mathematician Johannes Kepler made a conjecture about the densest way to stack oranges or other spheres with a minimum of space between them. It seemed nothing could beat the standard ...

High-dimensional spheres can have a much wider variety of structures than mathematicians thought possible. If you’ve ever been stuck in traffic on a rainy afternoon, you’ve probably watched raindrops ...

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 ...

Ok, say I have many pentagons. <BR><BR>I want to build an orb or sphere or whatever a 3 dimensional ball out of pentagons.<BR><BR>Is there a predetermined limit to the # of pentagon shaped pieces I ...