 The Use of Cubic Equations in Islamic Art and ArchitectureAlpay Özdural
Chapter Chapter 32 in Architecture and Mathematics from Antiquity to the Future, 2015, pp 467-481 from Springer Abstract: Abstract An anonymous Persian work on ornamental geometry, On interlocks of similar or complementary figures, appears to have been compiled by a scribe at a series of meetings between mathematicians and artisans. This unusual document, which contains 68 geometric constructions mostly with verbal explanations, can be dated by internal evidence to ca. 1300. Some of those constructions display the highest advancements attained by Muslim mathematicians, and thus represent the intimate link between theory and praxis that created the intriguing and awe-inspiring ornamental patterns. Three constructions are the solutions to problems that require cubic equations. At the time, mathematicians solved cubic equations by means of conic sections, but such solutions were only for demonstration purposes with no practical application. These three constructions in Interlocks of Figures are the cases of “moving geometry,” that is, mechanical procedures that are equivalent to the solutions for cubic equations. Keywords: Conic Section; Short Side; Islamic World; Mechanical Equivalent; Ornamental Pattern (search for similar items in EconPapers) There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00137-1_32 Ordering information: This item can be ordered from DOI: 10.1007/978-3-319-00137-1_32 Access Statistics for this chapter More chapters in Springer Books from Springer |
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