Seeing in four dimensions

Mathematicians create videos that help in visualizing four-dimensional objects

By Julie Rehmeyer, 15:29 PM August 22, 2008

Three dimensions can be so limiting.

Mathematicians, freed in their imaginations from physical constraints, can conjure up descriptions of objects in many more dimensions than that. Points in a plane can be described with pairs of numbers, and points in space can be described with triples. Why not quadruples, or quintuples, or more?

There is the minor difficulty that our nervous systems are only equipped to conjure images in three dimensions. But that doesn’t stop Étienne Ghys of the École...

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