{"title":"A New Type of Helix Constructed by Plane Curves","authors":"Jinwon Choi","doi":"10.5666/KMJ.2016.56.3.939","DOIUrl":null,"url":null,"abstract":". In this paper, we give an algorithm to construct a space curve in Euclidean 3-space E 3 from a plane curve which is called PDP-helix of order d . The notion of the PDP-helices is a generalization of a general helix and a slant helix in E 3 . It is naturally shown that the PDP-helix of order 1 and order 2 are the same as the general helix and the slant helix, respectively. We give a characterization of the PDP-helix of order d . Moreover, we study some geometric properties of that of order 3.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5666/KMJ.2016.56.3.939","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper, we give an algorithm to construct a space curve in Euclidean 3-space E 3 from a plane curve which is called PDP-helix of order d . The notion of the PDP-helices is a generalization of a general helix and a slant helix in E 3 . It is naturally shown that the PDP-helix of order 1 and order 2 are the same as the general helix and the slant helix, respectively. We give a characterization of the PDP-helix of order d . Moreover, we study some geometric properties of that of order 3.
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