Poliedros de Arquimedes, Catalan, Kepler-Poinsot, Platão e o Sólido de Escher: contribuições para o ensino e aprendizagem de poliedros
We present in this work the art of Maurits Cornelis Escher in wich we can visualize polyhedra. We show the historical aspects and studies carried out by Archimedes, Catalan, Kepler, Poinsot and Plato as well as the relation between polyhedra and nature, works of art and architectural construction...
| Autor principal: | Silva, Ederson Marcelino da |
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| Formato: | Dissertação |
| Idioma: | Português |
| Publicado em: |
Universidade Tecnológica Federal do Paraná
2019
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| Assuntos: | |
| Acesso em linha: |
http://repositorio.utfpr.edu.br/jspui/handle/1/3847 |
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| Resumo: |
We present in this work the art of Maurits Cornelis Escher in wich we can visualize polyhedra.
We show the historical aspects and studies carried out by Archimedes, Catalan, Kepler, Poinsot
and Plato as well as the relation between polyhedra and nature, works of art and architectural
constructions. In addition, we deduce a formula for calculating the volume of Escher’s Solid, a
stellated rhombic dodecahedron, and we confirm it using GeoGebra and manipulative didactic
material. For interactive activities, we suggest applets and digital resources employing the
contextualization concomitantly with the theory, contributing to the teaching and learning
polyhedra. |
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