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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/221881
Poliedres flexibles
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Són rígides les superfícies polièdriques tancades? La conjectura de que totes ho són ens ha acompanyat des de fa molt de temps. Inclús Euclides la va suposar certa implícitament en definir les figures sòlides. Curiosament, la resolució d’aquesta conjectura no es va produir fins al 1977, quan Robert Connelly va donar una resposta definitiva. No obstant, això no va ser el resultat d’una revelació instantània, sinó una evolució al llarg dels segles. En aquest treball, estudiarem els principals descobriments que van contribuir a la solució d’aquesta conjectura.
Are all closed polyhedral surfaces rigid? The conjecture asserting their rigidity has been with us a long time. Even Euclid implicitly accepted it true as he defined solid figures. Interestingly, the resolution of this conjecture did not occur until 1977, when Robert Connelly provided a definitive answer. This, however, was not the result of a sudden revelation but rather a gradual evolution over the centuries. We will study the main discoveries that contributed to the solution of this conjecture.
Are all closed polyhedral surfaces rigid? The conjecture asserting their rigidity has been with us a long time. Even Euclid implicitly accepted it true as he defined solid figures. Interestingly, the resolution of this conjecture did not occur until 1977, when Robert Connelly provided a definitive answer. This, however, was not the result of a sudden revelation but rather a gradual evolution over the centuries. We will study the main discoveries that contributed to the solution of this conjecture.
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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2025, Director: Ricardo García López
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MAŠIĆ ORIVE, Danilo. Poliedres flexibles. [consulted: 7 of October of 2026]. Available at: https://hdl.handle.net/2445/221881