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References
S. de la Campa, Question 1451,Intermédiaire Math. 6 (1899), 29–30.
E. B. Dynkin andV. A. Uspenskiî,Matematičeskie besedy (Mathematical conversations), GITTL, Moscow, 1952.MR 14-455
E. B. Dynkin andV. A. Uspenskiî (Uspenski),Mathematische, Unterhaltungen, I: Mehrfarbenprobleme, Deutscher Verlag d. Wiss., Berlin, 1955.MR 17-772
E. B. Dynkin andV. A. Uspenskiî,Multicolor problems, Boston, 1963.
B. Grünbaum,Arrangements and spreads, Amer. Math., Soc., Providence, 1972.MR 46 # 6148
E. Lucas,Recréations mathématiques, IV, Paris, 1894.
I. Palásti, The ratio of black and white polygons of a map generated by general straight lines,Period. Math. Hungar. 7 (1976), 91–94.MR 55 # 11154
G. B. Purdy andJ. E. Wetzel, Two-coloring inequalities for Euclidean arrangements in general position,Discrete Math. (To appear)
G. J. Simmons, A quadrilateral-free arrangement of sixteen lines,Proc. Amer. Math. Soc. 34 (1972), 317–318.MR 45 # 4259
G. J. Simmons andJ. E. Wetzel, A two-coloring inequality for Euclidean two-arrangements,Proc. Amer. Math Soc. 77 (1979), 124–127.
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Research supported by National Science Foundation Grant MPS74-07547 A0I.
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Grünbaum, B. Two-coloring the faces of arrangements. Period Math Hung 11, 181–185 (1980). https://doi.org/10.1007/BF02026614
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DOI: https://doi.org/10.1007/BF02026614