Books written by Harold Scott Macdonald Coxeter

  • Generators and Relations for Discrete Groups
    Generators and Relations for Discrete Groups

    7.3 Automorphisms of the free group 89 we may write, in the notation of NIELSEN (1924b, p. 171), P = [S2, S1, S3, . . . , Sn]. Similarly Q = [S2, S3,..., Sn, Sil, O = [SI', S2,..., S.J., U = [SIS2, S2,..., S.]. These transformations P ...

  • Mathematical Recreations and Essays
    Mathematical Recreations and Essays

    Initially a small block of wood, P, coloured to represent a wagon, is placed at B; a similar block, Q, is placed at C; and a longer block of wood, R, representing an engine, is placed at E. The problem is to use the engine R to ...

  • Twisted Honeycombs
    Twisted Honeycombs

    Twisted Honeycombs

  • M.C. Escher, Art and Science: Proceedings of the International Congress on M.C. Escher, Rome, Italy, 26-28 March 1985
    M.C. Escher, Art and Science: Proceedings of the International Congress on M.C. Escher, Rome, Italy, 26-28 March 1985

    The work of Dutch artist Maurits Cornelis Escher (1898-1972) continues to attract wide interest. Mathematicians, physicists, crystallographers, chemists, biologists, psychologists, psychiatrists, art historians, and specialists in computer graphics and visual...

  • The Beauty of Geometry: Twelve Essays
    The Beauty of Geometry: Twelve Essays

    Absorbing essays demonstrate the charms of mathematics. Stimulating and thought-provoking treatment of geometry's crucial role in a wide range of mathematical applications, for students and mathematicians.

  • Mathematical Recreations & Essays
    Mathematical Recreations & Essays

    Mathematical Recreations & Essays

  • Introduction to Geometry
    Introduction to Geometry

    This classic work is now available in an unabridged paperback edition. The Second Edition retains all the characterisitcs that made the first edition so popular: brilliant exposition, the flexibility permitted...

  • The Coxeter Legacy: Reflections and Projections
    The Coxeter Legacy: Reflections and Projections

    This collection of articles by outstanding researchers and expositors captures Donald Coxeter's lasting contributions to mathematics and to the artistic and scientific communities.

  • Regular Polytopes
    Regular Polytopes

    ... span the space . ) We therefore consider the group as acting on a sphere with centre O , and replace its angular ... reflections has a simplex for its fundamental region . Since spherical space is finite , whereas Euclidean space is ...