Abstract
In [4] we introduced some ideas, methods and results in a topic which we chose to call Fibonacci vector geometry. The basic idea was to study triples of consecutive terms taken from Fibonacci sequences, regarding the triples as position vectors in Euclidean space, and seeking geometric properties of their locii and related figures.
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References
Atanassov, K. &, Shannon, A.G. and Turner, J.C. Visual Perspectives on Number Sequences. In preparation, 1998.
Hoggatt, V.E. Jr. Fibonacci and Lucas Numbers. The Fibonacci Association, 1979: pp. 56–67.
Rucker, R. Infinity and the Mind. Penguin Books, 1997: pp. 36–38.
Turner, J.C. and Shannon, A.G. “Introduction to a Fibonacci Geometry.” Applications of Fibonacci Numbers. Volume 7. Edited by G.E. Bergum, A.N. Philippou and A.F. Horadam, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998: pp. 435–448.
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© 1999 Springer Science+Business Media Dordrecht
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Turner, J.C. (1999). On Vector Sequence Recurrence Equations in Fibonacci Vector Geometry. In: Howard, F.T. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4271-7_32
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DOI: https://doi.org/10.1007/978-94-011-4271-7_32
Publisher Name: Springer, Dordrecht
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