Article
New properties about the intersection of rotational quadratic surfaces and their applications in Architecture
Author/s | Martín Pastor, Andrés
Narváez Rodríguez, Roberto |
Department | Universidad de Sevilla. Departamento de Ingeniería Gráfica |
Publication Date | 2019 |
Deposit Date | 2022-02-09 |
Published in |
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Abstract | A graphic conjecture is presented based on a singular property stated by Archimedes [287-212 B.C.] in his work On Conoids and Spheroids. This ancient text constitutes the starting argument for graphic research that has ... A graphic conjecture is presented based on a singular property stated by Archimedes [287-212 B.C.] in his work On Conoids and Spheroids. This ancient text constitutes the starting argument for graphic research that has revealed an unknown property regarding the intersection of rotational quadratic surfaces which they share one of their foci. This article shows the heuristic geometric reasoning carried out stemming from Archimedes’ text transcriptions and a conjecture that can be deduced when the initial property is generalised for the rest of the quadratic surfaces. Moreover, an explanation is offered for the possibilities of this property to be used for the discretisation of architectural surfaces through the use of parametric design and digital fabrication. |
Citation | Martín Pastor, A. y Narváez Rodríguez, R. (2019). New properties about the intersection of rotational quadratic surfaces and their applications in Architecture. Nexus Network Journal, 21 (1), 175-196. |
Files | Size | Format | View | Description |
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AAM Nexus2018 NewPropierties.pdf | 1.622Mb | [PDF] | View/ | Author's Accepted Manuscript AAM |
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