iPad Apps, Geometry Education

Pythagoras and Delaunay Triangulation Art, iPad Apps: Poly

iPad Apps: Delaunay Triangulation, Poly, Pythagoras

Polygonal Art Illustration: Bust of Pythagoras of Samos in the Capitoline Museums, Rome
Pythagoras of Samos ( c. 570 - c. 495 BC) was a Greek philosopher and mathematician and is best known for the Pythagorean theorem which bears his name. Source: Wikipedia, Pythagoras.

Poly for iPad by Innoiz Inc.
This project is inspired by the Triangulation invented by the mathematician Boris Delaunay in 1934. While the process behind is complicated, the result reduce an image to its essentials, creating the illusions of triangles, prisms and pyramids.
Poly is not working for iOS 7.

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:
Word Cloud of Pythagorean Theorem
Statue of Liberty art: Pythagoras squares 

Home | iPad app | Poly | Geometry | Delaunay Triangulation | Geometric Art | Geometry for Kids | Brain Tools | Software | Email | Post a comment | by Antonio Gutierrez
Last updated July 1, 2014