Geometric Art

Eiffel Tower & Delaunay Triangulation. iPad App: Trimaginator

Eiffel Tower, Face and Delaunay Triangulation Art


Polygonal Art Illustration: Eiffel Tower

The Eiffel Tower / Tour Eiffel, is an iron tower built on the Champ de Mars beside the Seine River in Paris. The tower has become a global icon of France and is one of the most recognizable structures in the world.

Trimaginator for iPad by Paul Ollivier
Trimaginator is inspired by the triangulation invented by the mathematician Boris Delaunay in 1934. While the process behind is complicated, the image is reduced to its essentials and turned into a triangle mesh.

10 Rendering modes and Automatic Point Generation Algorithms: Classic Edge detection, Isoline levels full mapping, Isoline levels scan through 8 levels.



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).
 


 

Home | Geometry | Geometric Art | Computational Geometry | Trimaginator for iPad | Delaunay Triangulation | Eiffel Tower | Geometry for Kids | Software | Email | Post a comment | by Antonio Gutierrez
Last updated July 2, 2014