Deformations of Planar Equilateral Polygons with a Constant Index
A carpenter’s rule problem is considered for the case of a self-intersecting planar polygon with additional restriction: the index (turning number) of the polygon should be preserved during deformation. We present a solution for equilateral polygons and state a problem for general ones.
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2013-01-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | http://mais-journal.ru/jour/article/view/226 |
| _version_ | 1797965959125794816 |
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| author | E. S. Zaputryaeva |
| author_facet | E. S. Zaputryaeva |
| author_sort | E. S. Zaputryaeva |
| collection | DOAJ |
| description | A carpenter’s rule problem is considered for the case of a self-intersecting planar polygon with additional restriction: the index (turning number) of the polygon should be preserved during deformation. We present a solution for equilateral polygons and state a problem for general ones. |
| first_indexed | 2024-04-11T02:07:10Z |
| format | Article |
| id | doaj.art-3f1db3e701d146f6a9b34d25b7a23b7a |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-11T02:07:10Z |
| publishDate | 2013-01-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-3f1db3e701d146f6a9b34d25b7a23b7a2023-01-03T02:48:01ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-01-01201138159219Deformations of Planar Equilateral Polygons with a Constant IndexE. S. Zaputryaeva0Московский педагогический государственный университетA carpenter’s rule problem is considered for the case of a self-intersecting planar polygon with additional restriction: the index (turning number) of the polygon should be preserved during deformation. We present a solution for equilateral polygons and state a problem for general ones.http://mais-journal.ru/jour/article/view/226плоские многоугольникишарнирные механизмызадача плотника |
| spellingShingle | E. S. Zaputryaeva Deformations of Planar Equilateral Polygons with a Constant Index Моделирование и анализ информационных систем плоские многоугольники шарнирные механизмы задача плотника |
| title | Deformations of Planar Equilateral Polygons with a Constant Index |
| title_full | Deformations of Planar Equilateral Polygons with a Constant Index |
| title_fullStr | Deformations of Planar Equilateral Polygons with a Constant Index |
| title_full_unstemmed | Deformations of Planar Equilateral Polygons with a Constant Index |
| title_short | Deformations of Planar Equilateral Polygons with a Constant Index |
| title_sort | deformations of planar equilateral polygons with a constant index |
| topic | плоские многоугольники шарнирные механизмы задача плотника |
| url | http://mais-journal.ru/jour/article/view/226 |
| work_keys_str_mv | AT eszaputryaeva deformationsofplanarequilateralpolygonswithaconstantindex |