GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE

GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE

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 throu...

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Bibliographic Details
Published in:Journal of Industrial Design and Engineering Graphics Vol. 12; no. 1
Main Authors: Mioara Duca, Narcisa Valter, Iulian Duca
Format: Journal Article
Language:English
Published: SORGING 01-04-2021
Subjects:
conical surface
curved surfaces
cylindrical surface
mathematical model
sphere
symmetry
Online Access:Get full text
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Summary: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.
ISSN:1843-3766
2344-4681