Part 8/10:
In a similar vein, to visualize a 4D hypercube, we must extrude a three-dimensional cube along the fourth axis. This new shape—known as a tesseract or hypercube—occupies a four-dimensional volume composed of infinite 3D slices, paralleling the way a cube consists of myriad 2D squares.
By creating mental models such as the "deck of cards" approach—where multiple projections of 3D objects stack along the fourth axis—we pave the way for a more robust visualization of how four-dimensional geometry operates.