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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SORGING
2017-05-01
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| Series: | Journal of Industrial Design and Engineering Graphics |
| Subjects: | |
| Online Access: | http://sorging.ro/jideg/index.php/jid/article/view/321 |
| _version_ | 1827852102457622528 |
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| author | DUCA Mioara VALTER Narcisa DUCA Iulian |
| author_facet | DUCA Mioara VALTER Narcisa DUCA Iulian |
| author_sort | DUCA Mioara |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T10:45:13Z |
| format | Article |
| id | doaj.art-0d5bda1ada774cd2b99245211be4051f |
| institution | Directory Open Access Journal |
| issn | 1843-3766 2344-4681 |
| language | English |
| last_indexed | 2024-03-12T10:45:13Z |
| publishDate | 2017-05-01 |
| publisher | SORGING |
| record_format | Article |
| series | Journal of Industrial Design and Engineering Graphics |
| spelling | doaj.art-0d5bda1ada774cd2b99245211be4051f2023-09-02T07:34:52ZengSORGINGJournal of Industrial Design and Engineering Graphics1843-37662344-46812017-05-0112GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACEDUCA Mioara0VALTER Narcisa1DUCA Iulian2PhD, University POLITEHNICA of Bucharest, Dept. of Descriptive Geometry and Engineering GraphicsPh.D, University POLITEHNICA of Bucharest, Dept. of Descriptive Geometry and Engineering GraphicsPh.D, University POLITEHNICA of Bucharest, Dept. of Mathematical Methods and ModelsIn 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.http://sorging.ro/jideg/index.php/jid/article/view/321curved surfaces, symmetry, mathematical model, cylindrical surface, sphere, conical surface |
| spellingShingle | DUCA Mioara VALTER Narcisa DUCA Iulian GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE Journal of Industrial Design and Engineering Graphics curved surfaces, symmetry, mathematical model, cylindrical surface, sphere, conical surface |
| title | GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE |
| title_full | GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE |
| title_fullStr | GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE |
| title_full_unstemmed | GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE |
| title_short | GEOMETRIC STUDY ON TRANSFORMATIONS THROUGH SYMETRY IN 3D SPACE |
| title_sort | geometric study on transformations through symetry in 3d space |
| topic | curved surfaces, symmetry, mathematical model, cylindrical surface, sphere, conical surface |
| url | http://sorging.ro/jideg/index.php/jid/article/view/321 |
| work_keys_str_mv | AT ducamioara geometricstudyontransformationsthroughsymetryin3dspace AT valternarcisa geometricstudyontransformationsthroughsymetryin3dspace AT ducaiulian geometricstudyontransformationsthroughsymetryin3dspace |