Approaching developable surfaces through shadow and penumbra

This paper enquires into the relationship between the rigorous graphic construction of penumbra and shadow and the idea of a developable surface circumscribed to two cores (whether these are curves or surfaces). The frst rigorously constructed graphic representations of shadow and penumbra appearing...

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Detalles Bibliográficos
Autores: Martín Pastor, Andrés, González Quintial, Francisco
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/144797
Acceso en línea:https://hdl.handle.net/11441/144797
https://doi.org/10.1007/s00004-023-00647-x
Access Level:acceso abierto
Palabra clave:Descriptive geometry
Shadow
Penumbra
Developable surfaces
Circumscribed surfaces
Digital manufacturing
Experimental pavilions
Augmented graphic thinking
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spelling Approaching developable surfaces through shadow and penumbraMartín Pastor, AndrésGonzález Quintial, FranciscoDescriptive geometryShadowPenumbraDevelopable surfacesCircumscribed surfacesDigital manufacturingExperimental pavilionsAugmented graphic thinkingThis paper enquires into the relationship between the rigorous graphic construction of penumbra and shadow and the idea of a developable surface circumscribed to two cores (whether these are curves or surfaces). The frst rigorously constructed graphic representations of shadow and penumbra appearing in diferent historical treatises are contextualised and contrasted with the frst works addressing the mathematical description of such surfaces. We describe how artisans and artists have employed physical and mechanical models to construct circumscribed developable surfaces, examining both their formal exploration and constructive formalisation. Next we extrapolate the mechanisms for generating circumscribed surfaces to digital and parametric models. The two procedures presented here evince the existing geometric limits of this way of generating a surface, thus infuencing its constructive applications. Lastly, several examples of ephemeral architecture based on such procedures are ofered, in which the digital design and manufacturing of experimental pavilions with circumscribed developable surfaces are addressed.SpringerIngeniería GráficaHUM976: Expregráfica. Lugar, Arquitectura y Dibujo2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/144797https://doi.org/10.1007/s00004-023-00647-xreponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésNexus Network Journal, 2023.https://link.springer.com/article/10.1007/s00004-023-00647-xinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1447972026-06-17T12:51:07Z
dc.title.none.fl_str_mv Approaching developable surfaces through shadow and penumbra
title Approaching developable surfaces through shadow and penumbra
spellingShingle Approaching developable surfaces through shadow and penumbra
Martín Pastor, Andrés
Descriptive geometry
Shadow
Penumbra
Developable surfaces
Circumscribed surfaces
Digital manufacturing
Experimental pavilions
Augmented graphic thinking
title_short Approaching developable surfaces through shadow and penumbra
title_full Approaching developable surfaces through shadow and penumbra
title_fullStr Approaching developable surfaces through shadow and penumbra
title_full_unstemmed Approaching developable surfaces through shadow and penumbra
title_sort Approaching developable surfaces through shadow and penumbra
dc.creator.none.fl_str_mv Martín Pastor, Andrés
González Quintial, Francisco
author Martín Pastor, Andrés
author_facet Martín Pastor, Andrés
González Quintial, Francisco
author_role author
author2 González Quintial, Francisco
author2_role author
dc.contributor.none.fl_str_mv Ingeniería Gráfica
HUM976: Expregráfica. Lugar, Arquitectura y Dibujo
dc.subject.none.fl_str_mv Descriptive geometry
Shadow
Penumbra
Developable surfaces
Circumscribed surfaces
Digital manufacturing
Experimental pavilions
Augmented graphic thinking
topic Descriptive geometry
Shadow
Penumbra
Developable surfaces
Circumscribed surfaces
Digital manufacturing
Experimental pavilions
Augmented graphic thinking
description This paper enquires into the relationship between the rigorous graphic construction of penumbra and shadow and the idea of a developable surface circumscribed to two cores (whether these are curves or surfaces). The frst rigorously constructed graphic representations of shadow and penumbra appearing in diferent historical treatises are contextualised and contrasted with the frst works addressing the mathematical description of such surfaces. We describe how artisans and artists have employed physical and mechanical models to construct circumscribed developable surfaces, examining both their formal exploration and constructive formalisation. Next we extrapolate the mechanisms for generating circumscribed surfaces to digital and parametric models. The two procedures presented here evince the existing geometric limits of this way of generating a surface, thus infuencing its constructive applications. Lastly, several examples of ephemeral architecture based on such procedures are ofered, in which the digital design and manufacturing of experimental pavilions with circumscribed developable surfaces are addressed.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/144797
https://doi.org/10.1007/s00004-023-00647-x
url https://hdl.handle.net/11441/144797
https://doi.org/10.1007/s00004-023-00647-x
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Nexus Network Journal, 2023.
https://link.springer.com/article/10.1007/s00004-023-00647-x
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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