IJPAM: Volume 42, No. 4 (2008)

VISUALIZATION OF INFINITESIMAL
BENDING OF SOME CLASS OF TOROID

Svetozar R. Rancic$^1$, Ljubica S. Velimirovic$^2$
$^{1,2}$Faculty of Science and Mathematics
University of Niš
Višegradska 33, Niš, 18000, SERBIA
$^1$e-mail: rancic@pmf.ni.ac.yu
$^2$e-mail: vljubica@pmf.ni.ac.yu


Abstract.The basic aim of the deformation theory is to point out to a class of rigid or non-rigid surfaces. In this paper are considered torus like surfaces obtained by revolution of quadrangular meridian. Infinitesimal bending of generated surfaces is explored using Cohn-Vossen's method. We present visualization of such surfaces and their infinitesimal deformation obtained by our programm. It is written in C++ and for modelling three dimensional surfaces and curves is used OpenGL graphic library.

Received: August 17, 2007

AMS Subject Classification: 53A05, 53C45, 68U05

Key Words and Phrases: infinitesimal bending, infinitesimal deformation, rigidity, toroid, C++, OpenGL

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4