Open AccessDeformations of Planar Equilateral Polygons with a Constant Index
Author(s) -
Ekaterina Sergeevna Zaputryaeva
Publication year - 2015
Publication title -
modelirovanie i analiz informacionnyh sistem
Language(s) - English
Resource type - Journals
eISSN - 2313-5417
pISSN - 1818-1015
DOI - 10.18255/1818-1015-2013-1-138-159
Subject(s) - equilateral triangle , polygon (computer graphics) , planar , point in polygon , constant (computer programming) , mathematics , equiangular polygon , geometry , index (typography) , polygon covering , deformation (meteorology) , combinatorics , regular polygon , geology , computer science , computer graphics (images) , telecommunications , frame (networking) , world wide web , programming language , oceanography
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.