The Trefoil
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- 作者：Joel C. Langer (1)
David A. Singer (1) - 关键词：14H45 ; 14H50 ; 14H52 ; 33E05 ; Algebraic curve ; elliptic function ; Platonic surface
- 刊名：Milan Journal of Mathematics
- 出版年：2014
- 出版时间：June 2014
- 年：2014
- 卷：82
- 期：1
- 页码：161-182
- 全文大小：
- 参考文献：1. Ahlfors Lars: Complex Analysis. McGraw-Hill, Second Edition (1966)
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12. Joel Langer, On meromorphic parametrizations of real algebraic curves, / J. Geom., 100, No. 1 (2011), 105-28.
13. Joel Langer and David Singer, Foci and foliations of real algebraic curves, / Milan J. Math., 75 (2007), 225-71.
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18. Joel Langer and David Singer, Singularly beautiful curves and their elliptic curve families, in preparation.
19. Linda Ness, Curvature on algebraic plane curves. I, Compositio Mathematica 35 (1977), pp. 57-3.
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22. Cornelis Zwikker, / The Advanced Geometry of Plane Curves and Their Applications, Dover, New York, 2005. - 作者单位：Joel C. Langer (1)
David A. Singer (1)
1. Dept. of Mathematics, Case Western Reserve University, Cleveland, OH, 44106-7058, USA - ISSN：1424-9294
文摘
Dixon’s elliptic functions parameterize the real sextic trefoil curve by arc length and the complex curve as an embedded Platonic surface with 18 (or 108) faces.