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Physics

Why symmetry is so fundamental to our understanding of the universe

The symmetries of matter are deeper and stranger than they first appear, and they have driven many of the biggest breakthroughs in particle physics. But have we exhausted their usefulness?

By Michael Brooks

10 May 2023

Snowflake on a dark blue background; Shutterstock ID 1006197640; purchase_order: -; job: -; client: -; other: -

Shutterstock/Mariia Tagirova

YOU might remember learning about symmetry at school. Maybe a teacher showed you a snowflake’s six-fold symmetry and you marvelled at how it looked the same no matter how you rotated it. Well, it turns out that the wonders of symmetry go a whole lot deeper – as any mathematician who has studied it will tell you.

“Instead of being something visual, which is what I responded to as a child, it became something much more abstract and linguistic in nature,” says Marcus du Sautoy, a mathematician at the University of Oxford. “The understanding of symmetry I have now is…

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