That’s only one way (and the easiest) to represent a hypercube.
Another way is to envision two 3d cubes, “open” the corner of one and place it “inside” the other, and connect all the corresponding corners. The resulting 8 cubes, as is in the prior illustration, have 2 that look “normal” and 6 that are skewed due to the down-dimensioning representation in 3d.
Read “And he built a crooked house” by Heinlein for more detail.
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