Regular polygons on isochordal-viewed hedgehogs

نویسندگان

چکیده

A curve $$\alpha $$ is said to be isochordal viewed if there a smooth motion of constant length chord with its endpoints along such that their tangents the at these points form angle. In this paper some properties isochordal-viewed hedgehogs and Holditch curves are studied. It proved that, under conditions, construction closed regular polygons whose vertices move smoothly possible. The property illustrated examples. Moreover, considered it seen they feature similar polygon although are, in general, not parameterized by support function. Finally, recursive iteration for shown converge centers.

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ژورنال

عنوان ژورنال: Aequationes Mathematicae

سال: 2022

ISSN: ['0001-9054', '1420-8903']

DOI: https://doi.org/10.1007/s00010-022-00886-2