Приказ основних података о документу
Constructing the Egg Curves Using the Golden Ratio of Pentagon
dc.contributor | Nestorović, Miodrag | |
dc.creator | Petrović, Maja | |
dc.creator | Obradović, Marija | |
dc.date.accessioned | 2020-08-06T07:37:13Z | |
dc.date.available | 2020-08-06T07:37:13Z | |
dc.date.issued | 2010 | |
dc.identifier.isbn | 978-86-7924-038-5 | |
dc.identifier.uri | https://grafar.grf.bg.ac.rs/handle/123456789/2049 | |
dc.description.abstract | In the paper it is considered a construction of an egg curve obtained by continual joining of the circular arcs with three different centers. These three centers form sharp or flat triangles of the pentagon (sharp and flat triangles are the basic building shapes of Penrose tiling). They have many relationships with both the Fibonacci numbers and Phi. In such an egg curve, it is possible to inscribe two juxtaposed pentagons. We give also another construction which employs several, even infinite number of the pentagons. Those pentagons are forming a sequence related to Fibonacci sequence. The construction using the flat triangles will provide a curve which ratio between length of the perimeter and the sum of the length of its minor and major axes will give the coefficient Φ. | en |
dc.language.iso | en | sr |
dc.publisher | Belgrade: Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG) | sr |
dc.relation | info:eu-repo/grantAgreement/MESTD/MPN2006-2010/16009/RS// | sr |
dc.rights | openAccess | sr |
dc.source | PROCEEDINGS | BILTEN of 25th National and 2nd International Scientific Conference moNGeometrija 2010 | sr |
dc.subject | pentagon | sr |
dc.subject | egg curve | sr |
dc.subject | golden ratio | sr |
dc.subject | circular arc | sr |
dc.title | Constructing the Egg Curves Using the Golden Ratio of Pentagon | en |
dc.type | conferenceObject | sr |
dc.rights.license | ARR | sr |
dc.rights.holder | Faculty of Architecture in Belgrade; Serbian Society for Geometry and Graphics (SUGIG) | sr |
dc.citation.epage | 541 | |
dc.citation.spage | 532 | |
dc.description.other | http://mongeometrija.com/media/mongeometrija/2010/moNGeometrija%202010%20-%20PAGINACIJA.pdf | sr |
dc.identifier.fulltext | https://grafar.grf.bg.ac.rs/bitstream/id/7774/bitstream_7774.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_grafar_2049 | |
dc.type.version | publishedVersion | sr |