o:6102 Pramenovi krivih trećeg i četvrtog reda dobijeni preslikavanjem pramenova konika doktorska disertacija The pencils of curves of the third and fourth order obtained by mapping the pencils of conics : doctoral dissertation sr Harmonijskom simetrijom, kao potpuno bijektivnom i konformnom centralnom inverzijom, prikazana je transformacija svih tipova pramenova konika i njihovih specifičnosti u pramenove krivih trećeg i četvrtog reda i njihove preslikane specifičnosti, i obrnuto. Prepoznavanjem ekvivalentnosti inverzije sa klasičnom osnom simetrijom (nekomformna simetrija) ukazano je na neograničene mogućnosti za preslikavanje krivih i površi i dobijanje novih oblika koji će biti od koristi i u teoriji geometrije kao i u arhitektonskoj praksi Harmonic symmetry, which is a completely bijective and conformal central inversion, is used to present the transformation of all types of pencils of conics and their specific features into the pencils of curves of the 3rd and 4th order and their mapped specific features and vice versa. The recognition of the equivalence of inversion with the classical axial symmetry (non-conformal symmetry) has created numerous possibilities for mapping curves and surfaces and obtaining new forms which can be of great use both in the theory of geometry and in the practice of architecture. Arhitektura i urbanizam - Geometrija arhitektonske forme / Architecture and Urbanism - Geometry of Architectural Form Datum odbrane: 2. 11. 2012. relativisticka geometrija, inverzija kao harmonijska simetrija, pramen krivih 3. i 4. reda, pramen povrsi 3. i 4. reda relativistic geometry, inversion as harmonic symmetry,pencil of curves of the 3rd and 4th order, pencil of surfaces of the 3rd and 4th order yes 43936271 91552101 398 91552100 43936271 2013-09-30T17:51:49.053Z 45 no 46 član komisije Gordana D., 1963- Đukanović 2012 63 član komisije Ljiljana. Petruševski 2012 63 član komisije Đorđe, 1966- Đorđević 2012 63 član komisije Radovan. Štulić 2012 63 član komisije Marija, 1965- Obradović 2012 PDF/A (176 listova) 8285283 http://phaidrabg.bg.ac.rs/o:6102 no yes 3 2013-09-30T17:51:49.320Z 70 11 1067197 1067329 11 1066609 1066626 1066629 Arhitektura i urbanizam - Geometrija arhitektonske forme / Architecture and Urbanism - Geometry of Architectural Form relativisticka geometrija, inverzija kao harmonijska simetrija, pramen krivih 3. i 4. reda, pramen povrsi 3. i4. reda relativistic geometry, inversion as harmonic symmetry,pencil of curves of the 3rd and 4th order, pencil of surfaces of the 3rd and 4th order 514 Preslikavanje krivih 1738 11A01 2012