Dimension 126 Contains Strangely Twisted Shapes, Mathematicians Prove

A new proof represents the culmination of a 65-year-old story about anomalous shapes in special dimensions. The post Dimension 126 Contains Strangely Twisted Shapes, Mathematicians Prove first appeared on Quanta Magazine

May 5, 2025 - 15:09
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Dimension 126 Contains Strangely Twisted Shapes, Mathematicians Prove

It can be tempting to assume that your intuitions about three-dimensional space carry over to higher-dimensional realms. After all, adding another dimension simply creates a new direction to move around in. It doesn’t change the defining features of space: its endlessness and its uniformity. But different dimensions have decidedly different personalities. In dimensions 8 and 24, it’s possible to…

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