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Classification by Type of the Arches in Gaudí’s Palau Güell

  • Identification data

    Identifier: imarina:5689818
    Authors:
    Gonzalez, GenaroSamper, AlbertHerrera, Blas
    Abstract:
    © 2017, Kim Williams Books, Turin. Architects and historians commonly claim that when designing the Palau Güell, Gaudí experimented with some architectural elements which would influence his later works, with the arches being prevalent in the building. But, to date, no mathematically thorough study has been conducted in order to determine the type of each of such arches. Furthermore, literature contains subjective and intuitive claims which create ambiguity and contradictions. Owing to the methods used by Gaudí, the arches in Palau Güell are best fit by conical curves (ellipse, parabola, hyperbola) or hyperbolic-cosine curves (catenary, Rankine). Using photogrammetrical and mathematical techniques, in this paper we will classify the arches of this building according to their types, we will eliminate the inconsistencies which currently exist in literature, and we will obtain the corresponding analytical equations, which may be helpful in future studies.
  • Others:

    Author, as appears in the article.: Gonzalez, Genaro; Samper, Albert; Herrera, Blas
    Department: Escola Tècnica Superior d'Arquitectura Enginyeria Mecànica Enginyeria Informàtica i Matemàtiques
    URV's Author/s: González Baixauli, Genaro / Herrera Gómez, Blas / Samper Sosa, Albert
    Keywords: Rankine Palau güell Geometric analysis Conics Catenary Arch Antoni gaudí
    Abstract: © 2017, Kim Williams Books, Turin. Architects and historians commonly claim that when designing the Palau Güell, Gaudí experimented with some architectural elements which would influence his later works, with the arches being prevalent in the building. But, to date, no mathematically thorough study has been conducted in order to determine the type of each of such arches. Furthermore, literature contains subjective and intuitive claims which create ambiguity and contradictions. Owing to the methods used by Gaudí, the arches in Palau Güell are best fit by conical curves (ellipse, parabola, hyperbola) or hyperbolic-cosine curves (catenary, Rankine). Using photogrammetrical and mathematical techniques, in this paper we will classify the arches of this building according to their types, we will eliminate the inconsistencies which currently exist in literature, and we will obtain the corresponding analytical equations, which may be helpful in future studies.
    Thematic Areas: Visual arts and performing arts Mathematics (miscellaneous) Mathematics (all) Interdisciplinar History & philosophy of science General mathematics Ciencias sociales Ciencias humanas Arts Arquitetura, urbanismo e design Arquitetura e urbanismo Architecture
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: albert.samper@urv.cat blas.herrera@urv.cat genaro.gonzalez@urv.cat
    ISSN: 15905896
    Author identifier: 0000-0002-4795-2127 0000-0003-2924-9195 0000-0002-1301-7210
    Record's date: 2025-02-19
    Paper version: info:eu-repo/semantics/publishedVersion
    Paper original source: Nexus Network Journal. 20 (1): 173-186
    APA: Gonzalez, Genaro; Samper, Albert; Herrera, Blas (2018). Classification by Type of the Arches in Gaudí’s Palau Güell. Nexus Network Journal, 20(1), 173-186. DOI: 10.1007/s00004-017-0355-7
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2018
    Publication Type: Journal Publications
  • Keywords:

    Architecture,History & Philosophy of Science,Mathematics (Miscellaneous),Visual Arts and Performing Arts
    Rankine
    Palau güell
    Geometric analysis
    Conics
    Catenary
    Arch
    Antoni gaudí
    Visual arts and performing arts
    Mathematics (miscellaneous)
    Mathematics (all)
    Interdisciplinar
    History & philosophy of science
    General mathematics
    Ciencias sociales
    Ciencias humanas
    Arts
    Arquitetura, urbanismo e design
    Arquitetura e urbanismo
    Architecture
    15905896
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