GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE

Authors

  • Mioara Duca University POLITEHNICA of Bucharest
  • Narcisa Valter University POLITEHNICA of Bucharest
  • Iulian Duca University POLITEHNICA of Bucharest

Keywords:

curved surfaces, symmetry, mathematical model, cylindrical surface, sphere, conical surface

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.

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References

Murgulescu, E., Flexi, S., Kreindler, O., Tirnoveanu,

M., (1962). Analytical and differential geometry

(Geometrie analitica si diferentiala), Editura

Didactica si Pedagogica, Bucuresti

Stancescu, C-tin. (2014), Parametric and adaptive

modeling with Inventor (Modelare parametrica ?i

adaptiva cu Inventor), Editura Fast, ISBN 978-973-

-8-7 Bucuresti.

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Published

2021-04-30

Issue

Vol. 12 No. 1 (2017): Issue 1

Section

Theoretical Geometry and Graphics

License

Copyright (c) 2021 Journal of Industrial Design and Engineering Graphics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.