Geodesic
Notes on Infinitesimal Bending of a Toroid Formed by Revolution of a Polygonal Meridian
Journal for geometry and graphics, Tome 13 (2009) no. 2, pp. 177-186.

Voir la notice de l'article provenant de la source Heldermann Verlag

Deformation theory focuses on the examination of rigidity conditions of surfaces. In this paper we present our tools for the examination of torus-like surfaces with a polygonal meridian in the Euclidean 3-space E3. Based on Cohn-Vossen's method we check infinitesimal bendings of the generated surfaces. Starting from given nodes of a meridian we perform the analysis and display the obtained toroids and their deformed shapes. We use C++ and OpenGL to carry out all underlaying calculations and the 3D model visualization.
Classification : 53A05, 53C45, 68U05
Mots-clés : Infinitesimal bending, infinitesimal deformation, rigidity, toroid, polygon, OpenGL 
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     author = {L. S. Velimirovic and S. R. Rancic },
     title = {Notes on {Infinitesimal} {Bending} of a {Toroid} {Formed} by {Revolution} of a {Polygonal} {Meridian}},
     journal = {Journal for geometry and graphics},
     pages = {177--186},
     publisher = {mathdoc},
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L. S. Velimirovic; S. R. Rancic . Notes on Infinitesimal Bending of a Toroid Formed by Revolution of a Polygonal Meridian. Journal for geometry and graphics, Tome 13 (2009) no. 2, pp. 177-186. http://geodesic.mathdoc.fr/item/JGG_2009_13_2_JGG_2009_13_2_a3/