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Ogasa, Eiji (2013)
Languages: English
Types: Preprint
Subjects: Mathematics - Geometric Topology
This is an introductory article on the Boy surface. Boy found that RP2 can be immersed into R3 and published it 1901. (The image of) the immersion is called the Boy surface after Boy's discovery. We have created a way to construct the Boy surface by using a pair of scissors, a piece of paper, and a strip of scotch tape. In this article we introduce the way.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] W. Boy: U¨ber die Curvatura integra und die Topologie geschlossener Flchen, Math. Ann. 57 (1903) 151-184.
    • [2] C. Giller: Towards a classical knot theory for surfaces in R4 Illinois. J. Math. 26 (1982) 591-631.
    • [3] J. W. Milnor and J. D. Stasheff: Characteristic classes. Annals of Mathematics Studies, No. 76. Princeton University Press 1974.
    • [4] E. Ogasa: The projections of n-knots which are not the projection of any unknotted knot Journal of knot theory and its ramifications, 10 (2001) 121-132 UTMS 97-34, math.GT/0003088
    • [5] E. Ogasa: Singularities of projections of n-dimensional knots Mathematical Proceedings of Cambridge Philosophical Society 126 (1999) 511-519 UTMS96-39
    • [6] E. Ogasa: Ijigen e no tobira (In Japanese) Nippon Hyoron Sha Co., Ltd. 2009 Eiji Ogasa Computer Science, Meijigakuin University, Yokohama, Kanagawa, 244-8539, Japan http://www.geocities.jp/n dimension n dimension/list.html (Don't forget the three in this address. You can find this website by typing in the author's name 'Eiji Ogasa' in the search engine.)
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