In geometry and the closely related field of topology, adding a spatial dimension can often have wondrous effects: Previously distinct objects become indistinguishable. But a new proof finds there are some objects whose differences are […]
In geometry and the closely related field of topology, adding a spatial dimension can often have wondrous effects: Previously distinct objects become indistinguishable. But a new proof finds there are some objects whose differences are […]
Scientists don’t really agree on a definition for life. We may recognize life instinctively most of the time, but any time we try to nail it down with set criteria, some stubborn counterexample spoils the […]
In a physics lab in Amsterdam, there’s a wheel that can spontaneously roll uphill by wiggling. This “odd wheel” looks simple: just six small motors linked together by plastic arms and rubber bands to form […]
When our phones and computers run out of power, their glowing screens go dark and they die a sort of digital death. But switch them to low-power mode to conserve energy, and they cut expendable […]
Nestled among the impressive domes and spires of Yale University is the simple office of Daniel Spielman. His shelves are lined with tall black notebooks, containing decades of handwritten notes, and against a wall sits […]
Start at the center, with the sun. Our middle-aged star may be more placid than most, but it is otherwise unremarkable. Its planets, however, are another story. First, Mercury: More charred innards than fully fledged […]
A team of computer scientists has come up with a dramatically faster algorithm for one of the oldest problems in computer science: maximum flow. The problem asks how much material can flow through a network […]
From the window of a passenger plane flying over the Amazon, the view is breathtaking. “It’s just miles across of river and river islands,” said Lukas Musher, a postdoctoral researcher at Drexel University’s Academy of […]
As the atoms of arithmetic, prime numbers have always occupied a special place on the number line. Now, Jared Duker Lichtman, a 26-year-old graduate student at the University of Oxford, has resolved a well-known conjecture, […]
Our human brains can seem like a crowning achievement of evolution, but the roots of that achievement run deep: The modern brain arose from hundreds of millions of years of incremental advances in complexity. Evolutionary […]
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