Geometry in the Real World

Geometry in the Real World: Phillips Academy, Andover. iPad Apps: Trimaginator and Tangled FX

Phillips Academy, Andover. iPad Apps: Trimaginator and Tangled FX Delaunay Triangulation Art
Samuel Phillips Hall, front facade, edited with iPad apps: Trimaginator and Tangled FX

Polygonal Art Illustration: Phillips Academy, Andover
Phillips Academy Andover is a highly selective, prestigious, co-educational independent boarding preparatory school for boarding and day students in grades 9–12, along with a post-graduate (PG) year. The school is located in Andover, Massachusetts, United States.

Phillips Academy Andover is one of the oldest incorporated high schools in the United States, established in 1778 by Samuel Phillips. Source: Wikipedia: Phillips Academy.

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.

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

Download on the App Store: Trimaginator ▲ - Paul Ollivier

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).

Tangled FX - Orange Qube for iPad and iPhone
The Tangled FX app transforms your photos right before your eyes with a tangled arrangements of strokes, strings, and swirls. There are 16 unique filters to apply, and the best part is that you can tweak them with eight fine tuning sliders.

Download on the App Store: Tangled FX - Orange Qube
 


 

Home | Geometry | Geometric Art | Real World | Computational Geometry | Trimaginator for iPad | Delaunay Triangulation | Software | Email | Post a comment | by Antonio Gutierrez
Last updated Jan 17, 2015