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Polygon (2-polytope) Vertex Edge the facet or (n−1)-face of the polygon Polyhedron (3-polytope) Vertex the peak or (n−3)-face of the polyhedron Edge the ridge or (n−2)-face of the polyhedron Face the facet or (n−1)-face of the polyhedron Polychoron (4-polytope) Vertex Edge the peak or (n−3)-face of the polychoron Face the ridge or (n−2)-face of the polychoron Cell the facet or (n−1)-face of the polychoron Polyteron (5-polytope) Vertex the (n−5)-face of the polyteron Edge the (n−4)-face of the polyteron Face the peak or (n−3)-face of the polyteron Cell the ridge or (n−2)-face of the polyteron Hypercell the facet or (n−1)-face of the polyteron Other Point Line segment Vertex figure Peak – (n−3)-face Ridge – (n−2)-face Facet – (n−1)-face |
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