Cyclic arrangements and Roudneff's conjecture in the space
J.-P. Roudneff has conjectured that every arrangement of n greater than or equal to 2d + 1 greater than or equal to 5 (pseudo)hyperplanes in the real projective space P-d has at most Sigma(i=0)(d-2) ((n-1)(i)) cells bounded by each hyperplane. Here. we show the validity of this conjecture for d = 3. (C) 1999 Elsevier Science B.V. AII rights reserved.
cells computational geometry hyperplane arrangements