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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Main Author: E. S. Zaputryaeva
Format: Article
Language:English
Published: Yaroslavl State University 2013-02-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.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.
format Article
id doaj-art-2a2ca5e2d950460ea8efa1927e89af56
institution Kabale University
issn 1818-1015
2313-5417
language English
publishDate 2013-02-01
publisher Yaroslavl State University
record_format Article
series Моделирование и анализ информационных систем
spelling doaj-art-2a2ca5e2d950460ea8efa1927e89af562025-08-20T03:44:19ZengYaroslavl 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