A Classification of Closed Hypocycloids and Epicycloids

Q4 Mathematics Mathematics Magazine Pub Date : 2023-01-01 DOI:10.1080/0025570X.2023.2167397
Zarema S. Seidametova, V. Temnenko
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引用次数: 0

Abstract

Summary The paper describes a classification of closed epicycloids and hypocycloids into three classes: “odd/odd,” “even/odd,” “odd/even.” A subset of “perfect” epicycloids and hypocycloids that do not have self-intersection points has been identified. A new composite geometric object is constructed: the Euler Ring of Rings, consisting of a perfect epicycloid and a perfect hypocycloid with the same indices.
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闭次摆线和表摆线的分类
摘要本文将闭合外摆线和内摆线分为三类:“奇数/奇数”、“偶数/奇数”和“奇数/偶数”。已经确定了一个没有自交点的“完美”外摆线和外摆线的子集。构造了一个新的复合几何对象:欧拉环,它由一个具有相同指数的完美外摆线和一个完美内摆线组成。
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来源期刊
Mathematics Magazine
Mathematics Magazine Mathematics-Mathematics (all)
CiteScore
0.20
自引率
0.00%
发文量
68
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