Arrangements of lines and pseudolines without adjacent triangles

J. Bokowski and B. Sturmfels, An infinite family of minor-minimal non-realizable simplicial 3-chirotopes, submitted. J. Bokowski, B. Sturmfels, and J. Richter, Nonrealizability proofs in computational geometry, Discrete Comput. Geom., to appear. Bokowski, 1986, On the coordinatization of oriented matroids, Discrete Comput. Geom., 1, 293, 10.1007/BF02187702 Folkman, 1978, Oriented matroids, J. Combin. Theory Ser. B, 25, 199, 10.1016/0095-8956(78)90039-4 Goodman, 1980, Proof of Grünbaum's conjecture on the stretchability of certain arrangements of pseudolines, J. Combin. Theory Ser. A, 29, 385, 10.1016/0097-3165(80)90038-2 Grünbaum, 1969, The importance of being straight, 243 Grünbaum, 1971, Arrangements of Hyperplanes, 41 Grünbaum, 1972, Arrangements and Spreads, Vol. 10 Harborth, 1981, Two-colorings of simple arrangements, 371 Ringel, 1955, Teilungen der Ebene durch Geraden und topologische Geraden, Math. Z., 64, 79, 10.1007/BF01166556 Roudneff, 1986, On the number of triangles in simple arrangements of pseudolines in the real projective plane, Discrete Math., 60, 243, 10.1016/0012-365X(86)90016-6 Roudneff, 1988, Arrangements of lines with a minimum number of triangles are simple, Discrete Comput. Geom., 3, 97, 10.1007/BF02187900 J.-P. Roudneff, The maximum number of triangles in arrangements of (pseudo)-lines, submitted. J.-P. Roudneff, Quadrilaterals and pentagons in arrangements of lines, Geom. Dedicata, in press. J.-P. Roudneff and B. Sturmfels, Simplicial cells in arrangements and mutations of oriented matroids, Geom. Dedicata, in press. Strommer, 1977, Triangles in arrangements of lines, J. Combin. Theory Ser. A, 23, 314, 10.1016/0097-3165(77)90022-X