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The Tesseract is a four-dimensional object in which each of the “faces” is actually a cube (much the same way that in a three- dimensional cube each face is a square, and in a two-dimensional square each face is a line). There are a plethora of mathematical features of the hypercube: for example, a line has 2 vertices, a square has 4, a cube has 8, and the hypercube has 16, illustrating the fact that an n-dimensional “square” has . vertices.
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