Geometric Art

Geometry in the Real World: Thomas Jefferson Memorial & Delaunay Triangulation

Thomas Jefferson Memorial Delaunay Triangulation

 

 

Polygonal Geometric Array Illustration: Thomas Jefferson Memorial
The Thomas Jefferson Memorial is a presidential memorial in Washington, D.C., dedicated to Thomas Jefferson, the third President of the United States, (1801–1809). The neoclassical Memorial building on the Tidal Basin off the Washington Channel of the Potomac River was designed by the architect John Russell Pope. Construction of the building began in 1939 and was completed in 1943. In 2007, it was ranked fourth on the "List of America's Favorite Architecture" by the American Institute of Architects. Source: Wikipedia: Thomas Jefferson Memorial.

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