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Triangulated polygons and frieze patterns

Published online by Cambridge University Press:  03 November 2016

J. H. Conway
Affiliation:
Sidney Sussex College, Cambridge
H. S. M. Coxeter
Affiliation:
University of Toronto, Toronto M5S 1A1, Canada

Abstract

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Type
Other
Copyright
Copyright © Mathematical Association 1973 

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References

1. Böhm, J., Zu Coxeters Integrationsmethode in Räumen, gekrümmten, Math. Nachr. 27, 179214 (1964).Google Scholar
2. Brown, W. G., Historical note on a recurrent combinatorial problem, Am. math. Mon. 72, 973977 (1965).Google Scholar
3. Coxeter, H. S. M., On Schläfli’s generalization of Napier’s Pentagramma Mirificum, Bull. Calcutta math. Soc. 28, 123144 (1936).Google Scholar
4. Coxeter, H. S. M., Cyclic sequences and frieze patterns, Vinculum 8, 47 (Melbourne, 1971).Google Scholar
5. Coxeter, H. S. M., Frieze patterns, Acta with. 18, 297310 (1971).Google Scholar
6. Euler, Leonhard, Commentationes geometricae 1, XVIXVIII (Lausanne, 1953): review of Segner, A. de, Enumeratio modorum, quibus figurae planae recitilineae per diagonales dividuntur in triangula.Google Scholar
7. Forder, H. G., Some problems in combinatorics, Mathl Gaz. XLV, 199201 (No. 353, October 1961).Google Scholar
8. Harary, F., Graph Theory. Addison-Wesley (1969).Google Scholar
9. Harary, F. G. Prins and Tutte, W. T., The number of plane trees, K. Ned. Akad. Wetensch. Proc. A67, 319329 (1964).Google Scholar
10. Lyness, R. C., Notes 1581; 1847; 2952, Mathl Gaz. XXVI, 62 (No. 268, February 1942); XXIX, 231 (No. 287, December 1945); XLV, 207209 (No. 353, October 1961).Google Scholar
11. Moon, J. W. and Moser, Leo, Triangular dissections of n-gons, Can. math. Bull. 6, 175178 (1963).Google Scholar
12. Polya, G., Mathematics and Plausible Reasoning, Vol. 1; Induction and Analogy in Mathematics. Princeton University Press (1954).Google Scholar
13. Prešić, S. and Mikrinović, D. S., Sur une équation fonctionelle cyclique d’ordre supérieure, Publikacijc elektroteh. Fak. Univ. Beogr., Ser. Math.-Phys. 70 (1962).Google Scholar
14. van der Waerden, B. L., Science Awakening. Oxford University Press (New York, 1961).Google Scholar