GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE

SECTION 2: APPLIED GEOMETRY AND GRAPHICS

  • DUCA Mioara PhD, University POLITEHNICA of Bucharest, Dept. of Descriptive Geometry and Engineering Graphics
  • VALTER Narcisa Ph.D, University POLITEHNICA of Bucharest, Dept. of Descriptive Geometry and Engineering Graphics
  • DUCA Iulian Ph.D, University POLITEHNICA of Bucharest, Dept. of Mathematical Methods and Models

Abstract

In this paper, we present an analysis of the symmetry of the point and of the line in relation to the most known curved surfaces: cylindrical, conical and spherical. This analysis offers mathematical formulas showing the result of the transformations through symmetry and displays these changes through images obtained by spatial symmetrization, realized with Inventor software. These results can be used in graphical applications assisted by computers, which use the symmetry in relation to curved surfaces.

Published
2017-05-26
How to Cite
MIOARA, DUCA; NARCISA, VALTER; IULIAN, DUCA. GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE. JIDEG, [S.l.], n. 12, p. 51-54, may 2017. ISSN 2344-4681. Available at: <http://www.sorging.ro/jideg/index.php/jid/article/view/321>. Date accessed: 15 dec. 2017.
Section
Articles