Affine regularity

  • H. S. M. Coxeter
Article

References

  1. [1]
    F. Bachmann, E. Schmidt,n-gons, University of Toronto Press 1975 (translation ofn-Ecke, 1969).Google Scholar
  2. [2]
    A. Barlotti, Una proprietà deglin-agoni che si ottengono trasformando in una affinità unn-agono regolare, Boll. Un. Mat. Ital. (3)10 (1955), 96–98.MATHMathSciNetGoogle Scholar
  3. [3]
    H.S.M. Coxeter, Unvergängliche Geometrie (2. Aufl.), Birkhäuser Basel 1961 (translation of Introduction to Geometry (2nd ed.), Wiley New York 1969).Google Scholar
  4. [4]
    H.S.M. Coxeter, Affinely Regular Polygons, Abh. Math. Sem. Univ. Hamburg34 (1969), 38–58.MATHMathSciNetCrossRefGoogle Scholar
  5. [5]
    H.S.M. Coxeter, Regular Complex Polytopes (2nd ed.), Cambridge University Press 1991.Google Scholar
  6. [6]
    W. Fischer, Ein geometrischer Satz, Arch. Math. Phys.40 (1863), 460–462.Google Scholar
  7. [7]
    J.C. Fisher, D. Ruoff, J. Shilleto, Polygons and Polynomials, in: The Geometric Vein, ed. Ch. Davis, B. Grünbaum and F.A. Sherk, Springer-Verlag New York 1981, pp.321–333.Google Scholar
  8. [8]
    L. Gerber, Napoleon’s Theorem and the Parallelogram Inequality for Affine-regular Polygons, Amer. Math. Monthly87 (1980), 644–648.MATHCrossRefMathSciNetGoogle Scholar
  9. [9]
    B. Grünbaum, Convex Polytopes, Wiley New York 1968.Google Scholar
  10. [10]
    J.F. Rigby, Napoleon Revisited, J. Geom.33 (1988), 129–146.MATHCrossRefMathSciNetGoogle Scholar
  11. [11]
    V. Thébault, Solution to Problem 169, National Math. Mag.12 (1937–38), 192–194.Google Scholar

Copyright information

© Mathematische Seminar 1992

Authors and Affiliations

  • H. S. M. Coxeter
    • 1
  1. 1.Department of Mathematics, TorontoUniversity of TorontoOntarioCanada

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