Geometric Art

Washington National Cathedral & Delaunay Triangulation 2

Washington National Cathedral Delaunay Triangulation 2


Polygonal Geometric Array Illustration: Washington National Cathedral 2

Washington National Cathedral, is a cathedral of the Episcopal Church located in Washington, D.C. Of Neo-Gothic design it is the sixth-largest cathedral in the world, the second-largest in the United States, and one of the structures on the list of America's Favorite Architecture. Source: Wikipedia: America's Favorite Architecture.

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). 

 


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Last updated May 5, 2015