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Projection of Polytopes into Three Dimensions

Polytopes generalize polygons of two dimensions and polyhedra of three dimensions to higher dimensions. It is impossible for us to see polytopes in dimensions greater than three, so let us project them into three dimensions. The names of the polytopes are taken from the 3D case; for higher dimensions they are generalizations of those familiar figures.

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To make these complicated projections of higher-dimensional polytopes clear, the length of every projected edge is assumed to be 1.
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