Euclid did not live in Manhattan: Urban Geometry

Abstract

The Voronoi diagrams and the taxi distance are presented as models to solve a situation in which three assistance centers have to be located. The project was carried out by engineering students at the EPSEVG-UPC. At a cognitive and formal level, work is being done on Minkowski's L1 metric space as a differentialelement with respect to the Euclidean metric in order to visualize other metrics and use Geogebra as a tool to solve problems from reality, thus showing in this way the epistemological aspect of mathematics.

Keywords

• Voronoi
• Modelización
• Aprendizaje
• Métrica
• Distancia euclídea
• Taxi distancia