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

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…