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More briefly, the figure may be defined as a polyhedron with two parallel faces containing all the vertices.
The points thus obtained are evidently the vertices of a polyhedron with plane faces.
Probably the best way to make a sphere is to make a polyhedron with a large number of sides.
Each stage of refinement defines a new, denser, polyhedron whose vertices are related to local sets of vertices of the original.
In the first place, each of these figures may be conceived as an orthogonal projection of a closed plane-faced polyhedron.