GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE
Keywords:curved surfaces, symmetry, mathematical model, cylindrical surface, sphere, conical surface
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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Stancescu, C-tin. (2014), Parametric and adaptive
modeling with Inventor (Modelare parametrica ?i
adaptiva cu Inventor), Editura Fast, ISBN 978-973-
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