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Rampant arch and its optimum geometrical generation
Publicated to:Symmetry-Basel. 11 (5): - 2019-05-01 11(5), DOI: 10.3390/sym11050627
Authors: Velilla C; Alcayde A; San-Antonio-Gómez C; Montoya F; Zavala I; Manzano-Agugliaro F
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Abstract
© 2019 by the authors. Gothic art was developed in western Europe from the second half of the 12th century to the end of the 15th century. The most characteristic Gothic building is the cathedral. Gothic architecture uses well-carved stone ashlars, and its essential elements include the arch. The thrust is transferred by means of external arches (flying buttresses) to external buttresses that end in pinnacles, which accentuates the verticality. The evolution of the flying buttresses should not only be considered as an aesthetic consideration, but also from a constructive point of view as an element of transmission of forces or loads. Thus, one evolves from a beam-type buttress to a simple arch, and finally to a rampant arch. In this work, we study the geometry of the rampant arch to determine which is the optimum from the constructive point of view. The optimum rampant arch obtained is the one with the common tangent to the two arches parallel to the slope line. A computer program was created to determine this optimal rampant arch by means of a numerical or graphical input. It was applied to several well-known and representative cases of Gothic art in France (church of Saint Urbain de Troyes) and Spain (Cathedral of Palma de Mallorca), establishing if they were designs of optimal rampant arches or not.
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Quality index
Bibliometric impact. Analysis of the contribution and dissemination channel
The work has been published in the journal Symmetry-Basel due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2019, it was in position 29/71, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Multidisciplinary Sciences. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Computer Science (Miscellaneous).
From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 17.76, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Nov 2025)
Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-11-11, the following number of citations:
- WoS: 4
- Scopus: 7
Impact and social visibility
Leadership analysis of institutional authors
There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (VELILLA LUCINI, CRISTINA) .