Fibonacci series

Two of particular significance are the Golden Mean and the Fibonacci series.

Successive numbers in the Fibonacci series are calculated by adding together the previous two numbers.

Aesthetic concepts like Golden ratio, Fibonacci series etc. are used in the design.

He made contributions to Narcissistic numbers and Fibonacci series.

Those ghostly tunings you hear when he plays electric guitar are based on a numerical system known as the Fibonacci series.

Sometimes the Nautilus spiral alone is used; it embodies the Fibonacci series and the golden ratio.

The durations of these moments are made according to the Fibonacci series (Frisius 2008, 171).

This reveals much of the interstructure of the pentagon which conforms to a Fibonacci series.

Designer/Architect Harry Wolf based its measurements on the Fibonacci series.

Pentaprismic symmetry is intimately related to the Fibonacci series and the golden section of classical geometry.

In a program note Ms. Motley wrote that she let the Fibonacci series help determine the length of each section of the work.

But as in the Fibonacci series two numbers within the series must be added together to calculate each new number in the extension of the series.

This morning's science/maths video takes a look at something that has always fascinated me and inspires some of my nature photography: capturing the Fibonacci series in plants.

Others were basic computer science problems such as computing a Fibonacci Series recursively using the Tcl programming language.

(Both before and after he discovered the Fibonacci series, a frequent motif included lizards large and small, stuffed and painted.)

"The Fibonacci Series in Twentieth-Century Music".

Charles Bonnet (1720-1793) points out that in the spiral phyllotaxis of plants going clockwise and counter-clockwise were frequently two successive Fibonacci series.

There was the requisite privet-hedge Maze, which she very quickly reasoned out to be a Fibonacci series and had solved the same afternoon she entered it.

The numbers count out the Fibonacci series, a mathematical progression found in the growth patterns of shells, leaves, the scales of fish and the skins of reptiles.

Donald Judd used the Fibonacci series of natural numbers as a compositional device and Robert Irwin's installations examined the nature of visual perception.

There are also no dead curators sprawled naked on the floor with pentagrams drawn on their chests in blood and scrambled Fibonacci series scrawled at their sides.

The Fibonacci series (named for its 13th-century discoverer, Leonardo Fibonacci) also underlies the golden section, a proportion (1 to 1.618) much admired by architects.

The Fibonacci series is produced by adding together the last two numbers in a sequence to get the next number - 1, 1, 2, 3, 5, 8, 13, 21, 34 and so on.

R. C. Archibald: 'Notes on the Logarithmic Spiral, Golden Section and the Fibonacci Series'

Because the Hill would burn, would be looted and burned as predictably as the sixth term in a Fibonacci series of ten was an eleventh of the whole.