Polytopes in N Dimensions

Video featuring Carlo Sequin from the MSRI about polytopes in higher dimensions.
Edit, 2D, 3D and 4D animation using Premier, After Effects, Blender and Stella 4D.

A video by Brady Haran for Numberphile.

hypercube explode

I had a lot of fun with this, trying to visualise 4 dimensional objects in a way that could be easily understood – above you can see an explosion of a hypercube into it’s constituent cubes and below is the same process with a 24 cell (a four-dimensional construction from octahedra.

24 cell