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Machu Picchu, Delaunay Triangulation 

Polygonal Art Illustration: Machu Picchu

Machu Picchu is a 15th-century Inca site located in Cusco, Peru. It stands 2,430 m above sea-level, in the middle of a tropical mountain forest, in an extraordinarily beautiful setting. It was the most amazing urban creation of the Inca Empire.
 

Delaunay Triangulation
A Delaunay triangulation for a set P of points in the plane is a triangulation such that no point in P is inside the circumcircle of any triangle in the triangulation. It can be shown that for all possible triangulations of P, a Delaunay triangulation maximizes the minimum angle of all angles of the triangles in the triangulation. Thus, a Delaunay triangulation tends to avoid skinny triangles.

Delaunay triangulation is a good application of the circumcircle (circle which passes through the three vertices of a triangle).
  

Last updated July 1, 2014

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