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Chamfer (geometry)
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<p>In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, a chamfer or edge-truncation is a topological operator that modifies one <a href="/facts/Polyhedron/UC0p9FTF">polyhedron</a> into another. It separates the <a href="/facts/Face_(geometry)/T2E6BTU4">faces</a> by reducing them, and adds a new face between each two adjacent faces (moving the vertices inward). Oppositely, similar to <a href="/facts/Expansion_(geometry)/eMpoRlnm">expansion</a>, it moves the faces apart outward, and adds a new face between each two adjacent faces; but contrary to expansion, it maintains the original <a href="/facts/Vertex_(geometry)/ID3cea9z">vertices</a>. </p><p>For a polyhedron, this operation adds a new <a href="/facts/Hexagon/DPzuCzWE">hexagonal</a> face in place of each original <a href="/facts/Edge_(geometry)/3lFN6sEz">edge</a>. </p><p>In <a href="/facts/Conway_polyhedron_notation/MVmYMqID">Conway polyhedron notation</a>, <i>chamfering</i> is represented by the letter "c". A polyhedron with e edges will have a chamfered form containing 2<i>e</i> new vertices, 3<i>e</i> new edges, and e new hexagonal faces. </p>