Fibonacci Sequence

  • (noun): A sequence of numbers in which each number equals the sum of the two preceding numbers.

Some articles on fibonacci sequence, sequence, fibonacci:

Jay Hambidge - Dynamic Symmetry
... From the study of phyllotaxis and the related Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...), Hambidge says that "a much closer representation would be obtained by a ... which is the ratio needed to explain the plant design system." This substitute sequence is a generalization of the Fibonacci sequence that chooses 118 and 191 as the beginning numbers to generate the rest ... In fact, the standard Fibonacci sequence provides the best possible rational approximations to the golden ratio for numbers of a given size ...
Metastasis (Xenakis)
... The particular sequence of shots was unimportant the individual guns could have fired in a completely different pattern from the way they actually did, but the sound ... of a twelve-tone row is used, with durations based on the Fibonacci sequence ... This integer sequence is nothing new to music it was used often by Bartók, among others.) One interesting property of the Fibonacci sequence is that the further into the infinite sequence ...
Golden-ratio - Mathematics - Relationship To Fibonacci Sequence
... The mathematics of the golden ratio and of the Fibonacci sequence are intimately interconnected ... The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987.. ... formula, even though it was already known by Abraham de Moivre) for the Fibonacci sequence involves the golden ratio The golden ratio is the limit of the ratios of successive terms of the Fibonacci ...

Famous quotes containing the word sequence:

    We have defined a story as a narrative of events arranged in their time-sequence. A plot is also a narrative of events, the emphasis falling on causality. “The king died and then the queen died” is a story. “The king died, and then the queen died of grief” is a plot. The time sequence is preserved, but the sense of causality overshadows it.
    —E.M. (Edward Morgan)