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Geometry of the Icosikaidigon in Orvieto Cathedral

  • Identification data

    Identifier:  imarina:6388533
    Handle: https://hdl.handle.net/20.500.11797/imarina6388533
    Authors:  Lluis i Ginovart, Josep; Samper, Albert; Herrera, Blas; Costa, Agusti; Coll, Sergio
    Abstract:
    © 2016, Kim Williams Books, Turin. The rose window on the main façade of Orvieto cathedral is unique because its design is based on a 22-sided polygon. It is well known that the icosikaidigon cannot be constructed using only a compass and a straightedge. Therefore, using a geometric/statistical approach, we intend to unveil which approximate construction method was used by the sculptor to draw this unique rose window.

  • Others:

    Link to the original source: https://link.springer.com/article/10.1007/s00004-016-0289-5
    APA: Lluis i Ginovart, Josep; Samper, Albert; Herrera, Blas; Costa, Agusti; Coll, Sergio (2016). Geometry of the Icosikaidigon in Orvieto Cathedral. Nexus Network Journal, 18(2), 419-438. DOI: 10.1007/s00004-016-0289-5
    Paper original source: Nexus Network Journal. 18 (2): 419-438
    Article's DOI: 10.1007/s00004-016-0289-5
    Journal publication year: 2016
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/publishedVersion
    Record's date: 2025-02-19
    URV's Author/s: Coll Pla, Sergio / Costa Jover, Agusti / Herrera Gómez, Blas / LLUÍS GINOVART, JOSEP / Samper Sosa, Albert
    Department: Enginyeria Informàtica i Matemàtiques, Escola Tècnica Superior d'Arquitectura
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    ISSN: 15905896
    Author, as appears in the article.: Lluis i Ginovart, Josep; Samper, Albert; Herrera, Blas; Costa, Agusti; Coll, Sergio
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Architecture, Arquitetura e urbanismo, Arquitetura, urbanismo e design, Arts, Ciencias humanas, Ciencias sociales, General mathematics, History & philosophy of science, Interdisciplinar, Mathematics (all), Mathematics (miscellaneous), Visual arts and performing arts
    Author's mail: blas.herrera@urv.cat, agusti.costa@urv.cat, sergio.coll@urv.cat, albert.samper@urv.cat

  • Keywords:

    Classic geometry
    Icosikaidigon
    Orvieto cathedral
    Rose window
    Architecture
    History & Philosophy of Science
    Mathematics (Miscellaneous)
    Visual Arts and Performing Arts
    Arquitetura e urbanismo
    Arquitetura
    urbanismo e design
    Arts
    Ciencias humanas
    Ciencias sociales
    General mathematics
    Interdisciplinar
    Mathematics (all)

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