four-dimensional space

“Foundation” is a challenging show, one that jumps backward and forward in huge swaths of time so that mothers are sometimes younger than their daughters, and it tests its viewers on concepts like four-dimensional space and the poetic meter known as anapestic tetrameter.

So what does the optimal packing of n four-dimensional balls in four-dimensional space look like?

He then arranges these with the help of digital technology into sequences that suggest immersive, three-dimensional and even four-dimensional space and movement.

Their study isn’t limited to one dimension, either: Mathematicians also consider how knots made of two-dimensional spheres behave in four-dimensional space.

The data set is likewise hand-engineered in such a way that it is simple to analyse in this four-dimensional space.