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  • Cited by 89
Publisher:
Cambridge University Press
Online publication date:
August 2015
Print publication year:
1971
Online ISBN:
9780511569746

Book description

Models of the regular and semi-regular polyhedral solids have fascinated people for centuries. The Greeks knew the simplest of them. Since then the range of figures has grown; 75 are known today and are called, more generally, 'uniform' polyhedra. The author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms. Fully illustrated with drawings and photographs, this is the first practical guide to making these intricate and beautiful solids.

Reviews

‘The general effect of this book is to create a desire in the reader to become involved with these gracefully symmetrical figures; it is very pleasant reading indeed.’

Source: Science

‘The photographs and descriptions, together with a foreword by H. S. M. Coxeter, a bibliography, and a list of the models, have been fashioned into a beautiful book.’

Source: Choice

‘This book should provide hours of enjoyment to all those who appreciate the regular, uniform and stellated polyhedra.’

Source: Institute of Physics

‘ … a splendid sequel to Cundy and Rollett’s Mathematical models: more lavishly produced, with a photograph of each of the 119 models described …’

Source: Mathematical Gazette

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Contents


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References
Brückner, M. Vielecke und Vielflache. Tuebner, 1900.
Coxeter, H. S. M. Introduction to geometry. John Wiley and Sons, 1961.
Coxeter, H. S. M. Regular polytopes, 2nd ed. Macmillan, 1963.
Coxeter, H. S. M., ‘Polyhedra’, chapter 5 in Ball, W. W. R.Mathematical recreations and essays. Macmillan, 1965.
Coxeter, H. S. M., Du Val, P., Flather, H. T. and Petrie, J. F. The fifty-nine icosahedra. University of Toronto, 1951.
Coxeter, H. S. M., Longuet-Higgins, M. S. and Miller, J. C. P. ‘Uniform polyhedra’. Phil. Trans. 1954, 246A, 401–50.
Cundy, H. M., and Rollett, A. P., Mathematical models, 2nd ed. Oxford, 1961.
Ede, J. D. Mathematical Gazette (1958), XLII.
Heath, T. L. Euclid's elements, vol. 3. Dover, 1956.
Hilbert, D. and Cohn-Vossen, S. Geometry and the imagination. Chelsea, 1956.
Lines, L. Solid geometry. Dover, 1965.
Lysternick, L. A. Convex figures and polyhedra. Dover, 1963.
Polya, G. Mathematics and plausible reasoning. Vol. I. Induction and analogy in mathematics. Vol. II. Patterns of plausible inference. Oxford, 1955.
Steinhaus, H. Mathematical snapshots. Oxford, 1960.
Wenninger, M. J. Mathematical Gazette (1968), LII.
Wenninger, M. J. Polyhedron models for the classroom, N.C.T. M. Publication, 1966.

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