By Krassimir T Atanassov

A examine of Fibonacci sequences and the well known Fibonacci numbers. it's going to be of curiosity to investigate mathematicians wishing to enhance the information themselves, and to leisure mathematicians, who may still benefit from the a number of visible methods and the issues inherent in them. there's a carrying on with emphasis on diagrams, either geometric and combinatorial, which is helping to tie disparate themes jointly, weaving round the unifying topics of the golden suggest and diverse generalizations of the Fibonacci recurrence relation. little or no previous mathematical wisdom is believed, except the rudiments of algebra and geometry, so the textual content can be used as a resource of enrichment fabric and undertaking paintings for students. A bankruptcy on video games utilizing goldpoint tiles is incorporated on the finish, and it seeks to supply a lot fabric for exciting mathematical actions regarding geometric puzzles of a combinatoric nature

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1' i, 1 I false iI I I false I false ... false W 1' 1,2 I false | . false . . false W I false I| I I false ... false W = i y x' 1,2 y' iI r ... -- L' , 1, IL' i-l i, 1-1 Z Z' 1 and W -. " ( 3 T : 1 £ T i |L' l)((f(r ) = 1) & (m > 0) & Z' p, T p, T 1

21 (1992), Ho. 1, 59-64. [3] E. Atanassov, L. Atanassova, E. Dimitrov, ski, H. Harinov and S. Petkov, G. Gargov, I. Kazalar- Generalized nets and expert sys tems. Hethods of Operations Research, Vol. 59. , Proc. H: Athenaeum, 1969, 301-310. [4] E. Atanassov, L. Atanassova, E. Dimitrov, G. Gargov, I. Kazalar- ski, H. Harinov and S. Petkov, Generalized nets and expert tems. "Hetworks Information II, Proc of Int. Conf. sys Processing NEW RESULTS IN THE THEORY OF GENERALIZED NETS 29 Systems", Sofia, May, 1988, Vol.

III. Proc. of the 14-th Generalized Methods of Operations Research, Symposium on Operations Research. Ulm, Sept. 1989, 417-423. [6] K. Atanassov, L. Atanassova, E. Dimitrov, ski, M. Marinov and S. Petkov, tems. IV. Proc. of the G. Gargov, I. Kazalar- Generalized nets and expert XIX Spring Conf. of sys the Union of Bulg. Math. , Sunny Beach, April 1990, 155-161. [7] L. Hadjyisky and K. Atanassov, A generalized net, representing the elements of one neuron network set, AMSE Review Vol. 14, No. 4, 1990, 55-59.