Diagrama de Voronoi nas Métricas Euclidiana e do Táxi: Uma Exploração em GeoGebra.

Paula Scaburi dos Santos; Andres David Baez-Sanchez

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Diagrama de Voronoi nas Métricas Euclidiana e do Táxi: Uma Exploração em GeoGebra.

Paula Scaburi dos Santos, Andres David Baez-Sanchez

Resumo

Este trabalho apresenta uma exploração do conceito de diagrama de Voronoi na métrica Euclidiana e na métrica do táxi com ajuda do ambiente de geometria dinâmica GeoGebra. São descritas visualizações dinâmicas para alguns resultados teóricos relacionados ao diagrama de Voronoi na métrica Euclidiana, assim como ilustrações dos conceitos de táxi-circunferência e táxi-mediatriz. Finalmente é implementado um procedimento para a representação das regiões de influência do diagrama de Voronoi na métrica do táxi.

Palavras-chave

diagrama de Voronoi; métrica Euclidiana; métrica do táxi; GeoGebra.

Texto completo:

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Revista Ciências Exatas e Naturais - RECEN. Universidade Estadual do Centro-Oeste - UNICENTRO/PR, BRASIL.

Licenciada sob uma Licença Creative Common

ISSN 2175-5620 ON LINE; 1518-0352 IMPRESSO

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Diagrama de Voronoi nas Métricas Euclidiana e do Táxi: Uma Exploração em GeoGebra.

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