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
2013-02-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/226 |
| _version_ | 1826559016467169280 |
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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 | 2024-04-10T02:25:48Z |
| format | Article |
| id | doaj.art-2a2ca5e2d950460ea8efa1927e89af56 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2025-03-14T08:53:41Z |
| publishDate | 2013-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-2a2ca5e2d950460ea8efa1927e89af562025-03-02T12:46:54ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-02-0120113815910.18255/1818-1015-2013-1-138-159219Deformations of Planar Equilateral Polygons with a Constant IndexE. S. Zaputryaeva0Moscow State Pedagogical UniversityA 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.https://www.mais-journal.ru/jour/article/view/226planar polygonsbar linkagescarpenter’s rule problem |
| spellingShingle | E. S. Zaputryaeva Deformations of Planar Equilateral Polygons with a Constant Index Моделирование и анализ информационных систем planar polygons bar linkages carpenter’s rule problem |
| 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 | planar polygons bar linkages carpenter’s rule problem |
| url | https://www.mais-journal.ru/jour/article/view/226 |
| work_keys_str_mv | AT eszaputryaeva deformationsofplanarequilateralpolygonswithaconstantindex |