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symmetry

number theory

Mathematicians Chase Moonshine’s Shadow

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

theoretical physics

At Multiverse Impasse, a New Theory of Scale

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.

Photograph of Saturn and its moons.
Mathematics

A New Tool to Help Mathematicians Pack

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.

symmetry

How to Make Impossible Wallpaper

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