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Gusein-Zade, and A. N. Varchenko. Singularities of differentiable maps. Vol. I, volume 82 of Monographs in Mathematics. Birkha¨user, Boston, 1985. 36 THE MATHEMATICAL INTELLIGENCER [2] H. S. M. Coxeter. Regular polytopes. Methuen, London, 1948. [3] P. R. Cromwell. Polyhedra. Cambridge University Press, Cambridge, 1997. [4] B. Gru¨nbaum. An enduring error. Elemente der Mathematik, 64(3):89–101, 2009. [5] M. Hochster and J. A. Eagon. Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci.

17] T. Ko¨vari, V. So´s, and P. Tura´n: On a problem of K. Zarankiewicz, Colloq. Math. 3 (1954), 50–57. [18] David E. Kullman, The utilities problem, Math. Magazine 52 (1979), 299–302. [19] F. T. Leighton, New lower bound techniques for VSLI, In: Pro- Math. 3 (1955), 200–201. [27] D. R. Woodall, Cyclic-order graphs and Zarankiewicz’s crossingnumber conjecture, J. Graph Theory 17 (1993), 657–671. [28] K. Zarankiewicz, The solution of a certain problem on graphs of P. Turan, Bull. Acad. Polon. Sci.

Symbolic Computation, 26:279–300, 1998. [7] J. Matousˇek. Lectures on discrete geometry. Springer, 2002. [8] Plato. Phaedrus. org/ etext/1636, October 2008. Translated by B. Jowett. [9] T. Roman. Regula¨re und halbregula¨re Polyeder. Kleine Erga¨nzungsreihe zu den Hochschulbu¨chern fu¨r Mathematik; 21. Deutscher Verlag der Wissenschaften, 1968. [10] B. Sturmfels. Algorithms in Invariant Theory. Springer, second edition, 2008. Mathematical Entertainments Michael Kleber and Ravi Vakil, Editors An Amazing Mathematical Card Trick ARTHUR T.

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