COMPUTER AIDED CURVE AND SURFACE GENERATION IN RELATIVISTIC GEOMETRY OF HARMONIC EQUIVALENTS

Marko Jovanovic, Marko Vucic, Milena Stavric, Radovan Stulic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Contemporary architectural designs strive towards a more integrated approach between
multiple areas of expertise including functionality, performance, fabrication process, exploitation
period and mostly the aesthetical appearance through form’s geometrical genesis and its
representation. In order to better respond to the dualities of performative necessities and aesthetical
appealing designs, complex, even freeform surfaces are mostly introduced as a result. However, the
necessary step is also the fabrication process which imposes geometrical approximations and
surface rationalizations in order to optimize the ratio between cost and efficiency.
In this paper, we explore various geometric form designs on the foundation of geometric
transformations presented in the “Relativistic Geometry of Harmonic Equivalents” by Professor
Lazar Dovnikovic, through a novel workflow and algorithmic representation of the theory. We
utilize a software package for generating the desired geometry and its transformed equivalents and
a parametric approach to vary the solution according to user defined necessities. Resulting
solutions are used as a guideline and inspiration for the future design phase.
Original languageEnglish
Title of host publicationProceedings: The 5th International Scientific Conference on Geometry and Graphics
Subtitle of host publicationmoNGeometrija 2016
Place of PublicationBelgrad
ISBN (Electronic)978-86-7466-614-2 (AM)
Publication statusPublished - 26 Jun 2016
Event5th ICGG moNGeometrija 2016 - Faculty of Architecture, Belgrade, Serbia, Serbia
Duration: 23 Jun 201626 Jun 2016

Conference

Conference5th ICGG moNGeometrija 2016
CountrySerbia
CityBelgrade, Serbia
Period23/06/1626/06/16

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