What shape is the universe? This question is far more intriguing and truly unresolved than any debate over the shape of our planet, despite the claims of flat-Earthers.

We occupy only a tiny space within a gigantic cosmos. Our vantage point is limited. Nevertheless, cosmologists are now fairly certain that our universe is flat. 

But that doesn’t explain the exact shape of space. It could extend infinitely along the three spatial dimensions or resemble a three-dimensional generalization of a donut’s surface—or take on even wilder forms. The mathematics of flat space is astonishingly versatile, and new research is upending the traditional thinking about the layout of our cosmos.

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