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The irreversibility of time may be a clue as to what makes up the universe’s dark matter.

Three years ago, a solitary mathematician released an impenetrable proof of the famous *abc* conjecture. At a recent conference dedicated to the work, optimism mixed with bafflement.

The solution to this month’s puzzle explains the artful mathematics behind symmetrical patterns.

Can you generate aesthetically pleasing, symmetrical curves with two numbers and a simple mathematical function?

A collaboration between mechanical engineers and mathematicians has revealed universal rules for how wrinkles form.

Researchers are on the trail of a mysterious connection between number theory, algebra and string theory.

Physicists have begun to explore the idea that mass and length may not be fundamental properties of nature. The hypothesis could help to avoid the conclusion that our world is just a weird bubble in an endlessly foaming multiverse.

Improvements in how densely spheres and other shapes can be packed together could lead to advances in materials science, deep space communication and theoretical physics.

A new collection of arresting wallpaper designs seems to defy the crystallographic restriction.

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