Why you can’t tie knots in four dimensions

Sun, 1 Mar 2026 10:32:12 +1100

Andrew Pam <xanni [at] glasswings.com.au>

Andrew Pam
<https://theconversation.com/why-you-cant-tie-knots-in-four-dimensions-272445>

"We all know we live in three-dimensional space. But what does it mean when
people talk about four dimensions?

Is it just a bigger kind of space? Is it “space-time”, the popular idea which
emerged from Einstein’s theory of relativity?

If you have wondered what four dimensions really look like, you may have come
across drawings of a “four-dimensional cube”. But our brains are wired to
interpret drawings on flat paper as two- or at most three-dimensional, not
four-dimensional.

The almost insurmountable difficulty of visualising the fourth dimension has
inspired mathematicians, physicists, writers and even some artists for
centuries. But even if we can’t quite imagine it, we can understand it."

Share and enjoy,
               *** Xanni ***
--
mailto:xanni@xanadu.net               Andrew Pam
http://xanadu.com.au/                 Chief Scientist, Xanadu
https://glasswings.com.au/            Partner, Glass Wings
https://sericyb.com.au/               Manager, Serious Cybernetics

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