Article PDF
Avoid common mistakes on your manuscript.
References
H. C. Andersen, The Emperor’s New Clothes. Pages 81 to 88 in “Tales”, Vol. 1. Translated by R. P. Keigwin. Flensted Publishers, Odense 1971. [Naturally, there are countless other editions and translations.]
J. J. Burckhardt, Die Mathematik an der Universität Zürich 1916-1950 unter den Professoren R. Fueter, A. Speiser, P. Finsler. Beiheft Nr. 16, Elemente der Mathematik, Birkhäuser, Basel 1980.
H. Butterfield, The Whig Interpretation of History. Bell and Sons, London 1931.
B. Grünbaum, Review of “Geometric Symmetry” by E. H. Lockwood and R. H. Macmillan and “Symmetry: An Analytical Treatment” by J. L. Kavanau. Mathematical Intelligencer (to appear).
B. Grunbaum and G. C. Shephard, Incidence symbols and their applications. Proc. Symposia Pure Mathematics 34(1979), 199–244.
B. Grunbaum and G. C. Shephard, Tilings and Patterns. Freeman and Co., New York (to appear).
O. Jones, The Grammar of Ornament. Quaritch, London 1868.
E. Müller, Gruppentheoretische und Strukturanalytische Untersuchung der Maurischen Ornamente aus der Alhambra in Granada. Ph.D. Thesis, University of Zürich. Baublatt, Rüschlikon 1944.
W. Ostwald, Die Harmonie der Formen. Unesma, Leipzig 1922.
W. Osiwald, Die Welt der Formen. Entwicklung und Ordnung der gesetzlich-schönen Gebilde. Parts 1 to 4, Unesma, Leipzig 1922-1925.
J. Pedersen, Geometry: The unity of theory and practice. Mathematical Intelligencer 5(1983), 32–37).
R. Penrose, Pentaplexity. Eureka 39(1978), 16–22 ( = Mathematical Intelligencer 2(1979), 32-37).
W. M. F. Petrie, Egyptian Decorative Art. Second ed., Methuen & Co., London 1920.
A. C. T. E. Prisse d’Avennes, Histoire de l’art égyptien d’après les monuments, depuis les temps les plus reculés jusqú à la domination romaine. A. Bertrand, Paris 1878/79.
R. M. Robinson, Undecidability and nonperiodicity of tilings of the plane. Inventiones Mathematicae 12(1971), 177–209.
D. Schattschneider, Tiling the plane with congruent pentagons. Mathematics Magazine 51(1978), 29–44.
D. Schattschneider, In praise of amateurs. Pages 140 to 166 and five color plates, in “The Mathematical Gardner” (D. A. Klarner, ed.), Prindle, Weber & Schmidt, Boston 1981.
A. Speiser, Die Theorie der Gruppen von endlicher Ordnung. Second ed., Springer, Berlin 1927. Third ed., Springer, Berlin 1937 (= Dover, New York 1943). Fourth ed., Birkhäuser, Basel, 1956.
H. Wang, Notes on a class of tiling problems. Fundamenta Mathematicae 82(1975), 295–305.
H. Weyl, Symmetry. J. Wash. Acad. Sci. 28(1938), 253- 271 (= Gesammelte Abhandlungen (K. Chandrasek- haran, ed.) Bd. III, pp. 592-610. Springer, Berlin 1968).
H. Weyl, Symmetry. Princeton University Press, Princeton 1952; paperback printing 1982.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grünbaum, B. The Emperor’s New clothes: Full regalia, G string, or nothing?. The Mathematical Intelligencer 6, 47–53 (1984). https://doi.org/10.1007/BF03026738
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03026738