Skoči na glavni sadržaj

Tehnički vjesnik, Vol. 30 No. 5, 2023.

Prethodno priopćenje

https://doi.org/10.17559/TV-20220622234115

Cassinian Directorial Surfaces Modelling as Geometric Pattern in Designing Architectural Structures

Maja Petrović orcid id orcid.org/0000-0001-5723-6979 ; University of Belgrade - The Faculty of Transport and Traffic Engineering, Vojvode Stepe 305, 11000 Belgrade, Serbia
Radovan Štulić ; University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia
Marko Jovanović orcid id orcid.org/0000-0003-4002-4317 ; University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia
Marko Vučić ; University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia
Branko Malešević orcid id orcid.org/0000-0002-4963-4149 ; University of Belgrade, School of Electrical Engineering, Bulevar kralja Aleksandra 73, 11000 Belgrade, Serbia

Puni tekst: engleski pdf 2.456 Kb

str. 1611-1619

preuzimanja: 110

citiraj

Sažetak

In this paper we propose a method for the genesis of novel geometric surfaces which we named Cassinian directorial surfaces (CDS). They represent spatial geometric locus of points whose product of distances from k fixed directrix lines is constant and given by the parameter S. The modelling of such Cassinian directorial surfaces is based upon two criteria that are the geometric mean as a proportional harmony and the golden ration i.e. the divine proportion. The three particular spatial dispositions of directors-directrices thus enable the design of three types of Cassinian five-directorial surfaces: CDS1 incorporating directrices which coincide with the sides of a regular pentagon; CDS2 incorporating directrices coinciding with the edges of an upright regular pentagonal prism; and CDS3 incorporating directrices which coincide with the skew diagonals of the sides of an upright regular pentagonal prism. In addition, for each type of the surface we propose possible applications of such surfaces as a geometric pattern in designing architectural structures.

Ključne riječi

architectural structures; Cassinian directorial surfaces; geometric mean; golden ratio; modelling

Hrčak ID:

307748

URI

https://hrcak.srce.hr/307748

Datum izdavanja:

31.8.2023.

Posjeta: 310 *