From the cube to the hypercube (parallel projection)
The animation illustrates the prism with whom we get a cube from a square and a hypercube from a cube (in the very first passages of the construction we get a line segment from a point and a square from a line segment). At every step the object involved moves in a direction perpendicular to the space where it is. You can see this construction in another animation, based on the representation with Schlegel diagram.
See also Beyond the four dimensions.
animazione di Gian Marco Todesco