Rotating 4D Hypercube

Rotating 4D Hypercube: "Rotating 4D Hypercube

Rotating 4D hypercube (GIF movie).

Imagine a person who lives in 4 spatial dimensions, watching a hypercube rotate. The 4-dimensional person has a 3-dimensional retina in each of its 2 eyes (two eyes suffice for depth perception, even in 4D). Each retina records a 3-dimensional image.

This image shows what the 4-dimensional person sees, with the extra dimension shown as a variation in colour. That is, the horizontal, vertical, and `colour' directions correspond to the 3 directions on the 3-dimensional retina of the 4-dimensional person. The vertical bar to the right of the picture shows the correspondence between colour and position in the extra dimension.

This is a `false colour' image, because the colour corresponds to something other than true colour. Of course our 4-dimensional friend undoubtedly sees in true colour as well...

* Rotating 4D hypercube (this page; 46K GIF movie).
* Rotating 4D spacetime hypercube (47K GIF movie).
* Both 4D hypercube movies together."