The numbers of units per moment are taken from five steps of a scale proportioned according to the Fibonacci series : 2, 3, 5, 8, and 13, with each value multiplied by 6 : 12, 18, 30, 48, and 78.
22.
This sequence is a Fibonacci sequence starting with positive numbers : 0, 2, 2, 4, 6, 10, 16, etc . ( So if you only count those where the team started out by winning, you get the standard Fibonacci series, offset)
23.
The numbers counted off the Fibonacci progression, the mathematical formula for growth patterns found in many forms of life, including leaves, snail shells, pine cones and reptile skins . ( Both before and after he discovered the Fibonacci series, a frequent motif included lizards large and small, stuffed and painted .)
24.
One of the few areas of the exhibition where numbers are in evidence is a section devoted to a beautiful and mysterious string of numbers called the Fibonacci series, a sequence of numbers that pervades the structures of flowers, plants and such animals as the chambered nautilus, and inspires artists and architects.
25.
Le Corbusier placed systems of harmony and proportion at the centre of his design philosophy, and his faith in the mathematical order of the universe was closely bound to the golden section and the Fibonacci series, which he described as " rhythms apparent to the eye and clear in their relations with one another.
26.
The Fred Frith composition " Bittern Storm over �lm " was a " perversion " of one of his favourite Hungarian composer B�la Bart�k's use of the Fibonacci series . " Solemn Music " was from Henry Cow's music for John Chadwick's play, " The Tempest ", and is the only piece from that suite to be released.
27.
Much of what's displayed makes demands on the viewer's intellectual imagination : Carl Andre's sculpture of 36 brushed aluminum floor tiles arranged to create a 54-foot runway in an otherwise bare gallery, for instance, or Mario Merz's constructions based on the mathematical symmetry of the Fibonacci series, or Natalie Jeremijenko's installation of six live maple trees suspended upside-down over an outdoor courtyard.
28.
The density of rhythmic activity in these formulas is progressively increased by dividing the notes in each of the five sections by the first five members of the Fibonacci series : 1, 2, 3, 5, and 8; that is, in the first section the notes appear in their original form, in section two each is divided in half, in section three into triplets, and so on (; ).
