Developable surfaces: their history and application

Article


Lawrence, S. 2011. Developable surfaces: their history and application. Nexus Network Journal. 13 (3), pp. 701-714. https://doi.org/10.1007/s00004-011-0087-z
TypeArticle
TitleDevelopable surfaces: their history and application
AuthorsLawrence, S.
Abstract

Developable surfaces form a very small subset of all possible surfaces and were for centuries studied only in passing, but the discovery of differential calculus in the seventeenth century meant that their properties could be studied in greater depth. Here we show that the generating principles of developable surfaces were also at the core of their study by Monge. In a historical context, from the beginning of the study of developable surfaces, to the contributions Monge made to the field, it can be seen that the nature of developable surfaces is closely related to the spatial intuition and treatment of space as defined by Monge through his descriptive geometry, which played a major role in developing an international language of geometrical communication for architecture and engineering. The use of developable surfaces in the architecture of Frank Gehry is mentioned, in particular in relation to his fascination with ‘movement’ and its role in architectural design.

Keywordsdevelopable surfaces; Gaspard Monge; descriptive geometry; ruled surfaces; Frank Gehry; Leonhard Euler
LanguageEnglish
PublisherSpringer
Birkhäuser Verlag
JournalNexus Network Journal
ISSN1590-5896
Electronic1522-4600
Publication dates
Print31 Oct 2011
Online22 Nov 2011
Publication process dates
Deposited01 Apr 2020
Accepted01 Oct 2010
Output statusPublished
Digital Object Identifier (DOI)https://doi.org/10.1007/s00004-011-0087-z
Web of Science identifierWOS:000297813300008
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