Geometric Art

Rome: Ponte Sant'Angelo and Basilica San Pietro & Delaunay Triangulation

Ponte Sant'Angelo over the Tiber, and Basilica San Pietro

Polygonal Geometric Array Illustration: Ponte Sant'Angelo over the Tiber, and Basilica San Pietro

Ponte Sant'Angelo is a Roman bridge in Rome completed in 134 to span the Tiber, from the city center to his newly constructed mausoleum, now the towering Castel Sant'Angelo. The bridge spans the Tiber with five arches.

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 3, 2015