Geometric Art

Statue of Liberty & Delaunay Triangulation. iPad App: Trimaginator

Statue of Liberty, Face and Delaunay Triangulation Art


Polygonal Art Illustration: Statue of Liberty

The Statue of Liberty was presented to the United States by the people of France in 1886. Standing on Liberty Island in New York Harbor, it welcomes visitors, immigrants, and returning Americans. The copper-clad statue, dedicated on October 28, 1886, commemorates the centennial of the signing of the United States Declaration of Independence and is a gesture of friendship from France to the United States.

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).
See also:
Statue of Liberty & Lights. Geometric Art. iPad Apps.
 


 

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