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    Triangulation

    Illustration

    Illustration

    Alternate name
    Definition

    Triangulation is the division of a surface or plane polygon into a set of triangles, usually with the restriction that each triangle side is entirely shared by two adjacent triangles. It was proved in 1925 that every surface has a triangulation, but it might require an infinite number of triangles and the proof is difficult. A surface with a finite number of triangles in its triangulation is called compact.

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