Abstract
The problem of enumerating the possible reflection paths has already been investigated by J.A. Brooks, I. Bruce, J.T. Butler, B. Junge k V.E. Hoggatt, Jr., L. Moser & M. Wyman in [1–3, 5–7] and others.
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References
Brooks, J.A. “A General Recurrence Relation for Reflections in Multiple Glass Plates.” The Fibonacci Quarterly, Vol. 27.3 (1989): pp. 267–271.
Bruce, I. “Sequence Generated by Multiple-Reflections.” The Fibonacci Quarterly, Vol. 24.3 (1986): pp. 268–272.
Butler, J.T. “On the Number of Propagation paths in Multilayer Media.” The Fibonacci Quarterly, Vol. 28.4 (1990): pp. 334–339.
Feller, W. An Introduction to Probability Theory and Its Applications. Vol. 1. 2nd Ed. John Wiley & Sons, Inc., New York, 1957.
Junge, B. and Hoggatt, V.E., Jr. “Polynomials Arising from Reflections Across Multiple-Plates.” The Fibonacci Quarterly, Vol. 11.3 (1973): pp. 285–291.
Moser, L. and Wyman, M. “Problem B-6.” The Fibonacci Quarterly, Vol. 1.1 (1963): p. 74.
Moser, L. and Wyman, M. “Multiple Reflections.” The Fibonacci Quarterly, Vol. 11.3 (1973): pp. 302–306.
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© 1993 Springer Science+Business Media Dordrecht
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Imada, N. (1993). A Sequence Arising from Reflections in Multiple Glass Plates. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2058-6_35
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DOI: https://doi.org/10.1007/978-94-011-2058-6_35
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