**The hypercubes**

If you are fascinated by higher dimensions, here is something to get your teeth into… These are orthographic (2D or flat) projections of analogues of the cube from dimensions zero-ten. The higher dimensional analogues can also be called hypercubes, or n-cubes where “n” is the number of dimensions. The term “n-cube” is also used for the lower dimensional projections. so a line is called a 1-cube and a square is a 2-cube and so on..

A tesseract is constructed by connecting the vertices of two cubes through a fourth dimension. The penteract is constructed by connecting the vertices of two tesseracts through a fifth dimension.

Have a look at how the cube is oriented and try to visualise how the hypercubes are constructed.. it is not as hard as it looks..

:)Alex@ Fathom the Universe

source: https://en.wikipedia.org/wiki/Hypercube