Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-16T23:56:03.223Z Has data issue: false hasContentIssue false

Making the real projective plane

Published online by Cambridge University Press:  01 August 2016

Claire Irving*
Affiliation:
Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH

Extract

The real projective plane is a classical mathematical object which plays an important role in several areas of mathematics, including topology. This article gives methods for making three-dimensional models of the real projective plane out of wool. By describing these models, and how to make them, the article aims to help the reader to visualise the real projective plane more easily.

Type
Articles
Copyright
Copyright © The Mathematical Association 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Hilbert, D. & Cohn-Vossen, S., Geometry and the Imagination, Chelsea, New York (1952).Google Scholar
2. Apéry, François, Models of the Real Projective Plane: Computer graphics of Steiner and Boy Surfaces, Friedr. Vieweg & Sohn, Braunschweig, Wiesbaden (1987).Google Scholar
3. Reid, Miles, The Knitting of Surfaces, Eureka – The Journal of the Archimedeans (Cambridge University Mathematical Society), 34 (October 1971) pp. 2126.Google Scholar
4. Homemade Topological Shapes, http://web.meson.org/topology Google Scholar
5. Irving, Claire, Embeddings and Immersions of Real Projective Spaces, Technical Report 2003/10, University of Leicester (2003).Google Scholar
7. Davis, Jane, Crochet, Lark Books, New York (2001).Google Scholar
8. Stanley, Montse, Knitter’s handbook, David & Charles (2001).Google Scholar