4D Hypercube Animation

On Cheezburger, of all places, I saw this cool animated visualization of higher dimensionality.

It shows the progression from a 1D line> to a 2D square> to a 3D cube> to a 4D hypercube.

Of course, since we cannot directly experience a 4-dimensional object, we are only seeing a 3D "shadow" of the theoretical form.

This same time last year, I posted about a 3D rendering I had made of Salvador Dali's "Crucifixion (Corpus Hypercubus)".

The Monkey Buddha Archives: 

3D "Dali's Crucifixion" 
by Paul Micarelli

I had also posted a rendering I created, of a similar progression of dimensional forms- to show how each dimension that we perceive is a "shadow" of a higher one.

(click to enlarge)

• The 0-dimensional point is a shadow of a line...

• The 1-dimensional line is a shadow of a square...

• The 2-dimensional square is a shadow of a cube...

• The 3-dimensional sides of a cube are the shadow of an (unfolded) hypercube.