Projection of Polytopes into Three Dimensions

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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.

Contributed by: Yuncong Ma (December 2009)
Open content licensed under CC BY-NC-SA


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Details

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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