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dc.contributor.authorRochera, D. 
dc.date2023-05-30en_US
dc.date.accessioned2022-05-30T17:44:07Z
dc.date.available2022-05-30T17:44:07Z
dc.date.issued2022
dc.identifier.issn1420-8903
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1478
dc.description.abstractA curve $\alpha$ is called isochordal viewed if there is a smooth motion of a constant length chord with its endpoints along $\alpha$ such that their tangents to the curve at these points form a constant angle. In this paper some properties of isochordal-viewed hedgehogs and Holditch curves are studied. It is proved that, under some conditions, the construction of some closed regular polygons whose vertices move smoothly along the curve $\alpha$ is possible. The property is illustrated with some examples. Moreover, Holditch curves of isochordal-viewed hedgehogs are considered and it is seen that they feature similar regular polygon properties although they are, in general, not parameterized by a support function. Finally, a recursive iteration of some Holditch curves for isochordal-viewed hedgehogs is shown to converge to the curve of polygon centers.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectIsoptic curvesen_US
dc.subjectIsochordal-viewed curvesen_US
dc.subjectHolditch curvesen_US
dc.subjectCurves of constant φ-widthen_US
dc.subjectHedgehogsen_US
dc.subjectRegular polygonsen_US
dc.titleRegular polygons on isochordal-viewed hedgehogsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doihttps://doi.org/10.1007/s00010-022-00886-2en_US
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00010-022-00886-2en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US
dc.journal.titleAequationes Mathematicaeen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España