Representation of 3D object in 1D?

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I've seen pictures of a tesseract on Google, in what could be considered the representation of a 4D object in 2D. This being possible, is it possible to represent a 3D object (say a cube) in 1D? What would that look like? I can see how a square be represented by a line in 1D. But is that of a 3D object possible in 1D?