{"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":46188,"journal":{"name":"Kyungpook Mathematical Journal","volume":"6 1","pages":"939-949"},"PeriodicalIF":0.2000,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyungpook Mathematical Journal","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":"Q3","JCRName":"MATHEMATICS","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.
期刊介绍：
Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.
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