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Title: Generalized golden numbers from extended fibonacci growth sequences
Author: Felix, M.V.
Castano, V.M.
Issue Date: 2012
Abstract: The original concept of Fibonacci's series is extended to allow more realistic physical conditions (i.e. limited lifespans and different male/female ratios) for the growth of a given population (bacteria, animals, grain in metals, etc.). From these extended fibonacci's sequences is possible to define and construct new golden numbers which may be found in a wider range of natural phenomena because of the infinite possibilities of the evolution (increase and decrease population index) parameters. The generalized mathematical rules which govern the behavior are obtained, as well as a master curve for extended "golden means" ?n, are deduced.
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