Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/151123
Title: Aplicacions didàctiques del diagrama de Voronoi i del problema invers
Author: Ràfols de Pascual, Laia
Director/Tutor: Muria Maldonado, Sergi
Font Gonzàlez, Jordi
Keywords: Didàctica de la matemàtica
Treballs de fi de grau
Geometria
Interpolació (Matemàtica)
Infografia
Batxillerat
Educació primària
Mathematics teaching methods
Bachelor's thesis
Geometry
Interpolation
Computer graphics
Baccalaureate (Secondary school educational programme)
Primary education
Issue Date: 20-Jun-2019
Abstract: [en] This paper about Voronoi diagrams begins with a brief historical context and actual applications. After introducing previous and necessary concepts, the properties of Voronoi diagrams are described, including different algorithms for its construction. In the main part of the paper, it is developed the distinction of a partition of the two-dimensional space as a Voronoi diagram, from the necessary and base conditions. Afterwards, different methods are proposed for the resolution of reverse problem of Voronoi, both for Voronoi diagrams and for partitions of two-dimensional space which do not satisfy the conditions set previously. In the final part, didactic applications are proposed for elementary and high school students.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Sergi Muria Maldonado i Jordi Font Gonzàlez
URI: http://hdl.handle.net/2445/151123
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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