Vol.2, No 4, 2002
pp. 261-266
UDC 514.772.35 (045), 692.1/.6
MODELING CONOID SURFACES
Ljubica S. Velimirović1,
Mića S. Stanković1, Grozdana Radivojević2
1Faculty of Science
and Mathematics
2Faculty of Civil
Engineering and Architecture
Niš, Serbia
Abstract. In this paper we consider conoid
surfaces as frequently used surfaces in building techniques, mainly as
daring roof structures. Different types of conoids are presented using
the programme package Mathematica. We describe the generation of conoids
and by means of parametric representation we get their graphics. The geometric
approach offers a wide range of possibilities in the research of complicated
spatial surface systems.
Key words: Catalana surface, conoid,
hyperbolic paraboloid, helicoid, Plucker's conoid, Mathematica.
MODELIRANJE KONOIDNIH POVRŠI
U radu se razmatraju konoidne površi koje su često
u upotrebi u gradjevinskoj tehnici, uglavnom kao smele krovne konstrukcije.
Različiti tipovi konoida se razmatraju uz upotrebu programskog paketa Mathematica
.
Opisuje se nastajanje konoida I pomocu parametarskog
predstavljanja dobijaju se njihovi grafici. Geometrijski pristup nudi široke
mogućnosti za istraživanje komplikovanih prostornih površinskih sistema.
Ključne reči: Površ Katalana, konoid,
hiperbolicki paraboloid, helikoid, Plikerov konoid, Mathematica.
