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 |
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Online Access: | http://mais-journal.ru/jour/article/view/226 |
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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 |