Skip to main content

Donald in Wonderland: The Many-Faceted Life of H. S. M. Coxeter

  • Chapter
Mathematics and Culture V

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H.S.M. Coxeter, Groups whose fundamental regions are simplexes, J. London Math. Soc. 6 (1931), 132–136.

    Article  MATH  Google Scholar 

  2. H.S.M. Coxeter, Discrete groups generated by reflections, Ann. of Math. 35 (1934), 588–621.

    Article  MathSciNet  Google Scholar 

  3. H.S.M. Coxeter, The complete enumeration of finite groups of the form \( R_i^2 = \left( {R_i R_j } \right)^{k_{ij} } = 1 \) , J. London Math. Soc. 10 (1935), 21–25.

    Article  MATH  Google Scholar 

  4. H.S.M. Coxeter, Regular skew polyhedra in three and four dimensions and their topological analogues, Proc. London Math. Soc. 43 (1937), 33–62.

    Article  MATH  Google Scholar 

  5. H.S.M. Coxeter, Regular honeycombs in hyperbolic space; pp. 155–169 in Proc. Internat. Congress Math. Amsterdam (1954), North-Holland, Amsterdam, 1956.

    Google Scholar 

  6. H.S.M. Coxeter and G. J. Whitrow, World structure and non-Euclidean honeycombs, Proc. Roy. Soc. London Ser. A 201 (1950), 417–437.

    MATH  MathSciNet  Google Scholar 

  7. E.W. Ellers, B. Grünbaum, P. McMullen, and A. I. Weiss, H.S.M. Coxeter (1907–2003), Notices of the AMS 50 (2003), 1234–1240.

    Google Scholar 

  8. M.S. Longuet-Higgins, J.C.P. Miller, and H.S.M. Coxeter, Uniform Polyhedra, Philos. Trans. Roy. Soc. London Ser. A 246 (1954), 401–450.

    MathSciNet  MATH  Google Scholar 

  9. J. A. Todd and H. S.M. Coxeter, A practical method for enumerating cosets of a finite abstract group, Proc. Edinburgh Math. Soc. 5(2) (1936), 26–34.

    MATH  Google Scholar 

  10. J. A. Todd, The groups of symmetries of regular polytopes, Proc. Camb. Phil. Soc. 27 (1931), 212–231.

    Article  MATH  Google Scholar 

Books Mentioned

  • (with P. Du Val, H.T. Flather, and J.F. Petrie) The Fifty-nine Icosahedra, University of Toronto Studies, Toronto, 1938.

    Google Scholar 

  • W.W. Rouse Ball’s Mathematical Recreations and Essays (11th edition), Macmillan, London, 1939.

    Google Scholar 

  • Regular Polytopes, Methuen, London, 1948. The Real Projective Plane, McGraw-Hill, New York, 1949.

    Google Scholar 

  • (with W.O. J. Moser) Generators and Relations for Discrete Groups, Springer-Verlag, Berlin, 1957.

    MATH  Google Scholar 

  • Introduction to Geometry, Wiley, New York, 1961.

    Google Scholar 

  • Projective Geometry, Blaisdell, New York, 1964.

    Google Scholar 

  • Regular Complex Polytopes, Cambridge University Press, London, New York, 1974. (2nd edition reprinted with corrections and a new 14th chapter).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Roberts, S., Weiss, A.I. (2007). Donald in Wonderland: The Many-Faceted Life of H. S. M. Coxeter. In: Emmer, M. (eds) Mathematics and Culture V. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34278-6_2

Download citation

Publish with us

Policies and ethics