Alas, the relationship between the 3rd dimension and the 4th dimension can be witnessed in its full glory!

Knowing how squares rise up through the z-axis to form a cube in 2D to 3D is applied directly in 'rising up' the cube into the w-axis: creating a hypercube.




The highlighted cube located at the 'bottom' of the cube is duplicated above itself, on the w axis. It is pushed into the 4th dimension, then the eight vertices are connected. Creating a hypercube.


Similar to how a cube can be rotated along its newly gained axis, a hypercube can be rotated rightfully so. Click here to discover 4D rotation!