‘Nasty’ Geometry Breaks a Decades-Old Tiling Conjecture
Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. They ..
Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. They ..
Two physicists find that our universe has a higher entropy—and is therefore more likely—than alternative possible universes. ..
In his senior year of high school, Daniel Larsen proved a key theorem about Carmichael numbers—strange entities that mimic the primes. ..
The neural representations of a perceived image and the memory of it are almost the same. New research shows how and why they are different. ..
Maintenance of FORM, the 1980s software that’s used for the field's hardest calculations, rests almost entirely with one septuagenarian physicist. ..
For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. Now there’s a breakthrough. ..
The past and future are tightly linked in conventional quantum mechanics. A tweak could let quantum possibilities increase as space expands. ..
To sharpen its command over precise maneuvers, the brain uses comparisons between control signals—not the signals themselves. ..
A growing catalog of huge but dim “ultra-diffuse” galaxies is forcing astronomers to invent new theories of galactic evolution. ..
Field research uncovers clues about the beetles’ coordinated blinking and confirms that a novel form of “chimeric” synchrony occurs naturally. ..