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Katolog > Science > Math > Recreations > Specific Numbers > Fibonacci Numbers


Fibonacci numbers, named after Italian mathematician Leonardo Fibonacci, are the numbers in the Fibonacci sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, . . . , each of which, after the second is the sum of the two previous ones.
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Links:

Fibonacci Facts
http://www.cs.rit.edu/~pga/Fibo/fact_sheet.html

Fibonacci Facts

Facts about the Fibonacci Sequence.
www.cs.rit.edu/~pga/Fibo/fact_sheet.html
Amof:Info on Fibonacci Sequences
http://theory.cs.uvic.ca/~cos/amof/e_fiboI.htm

Amof:Info on Fibonacci Sequences

Information on Fibonacci Sequences.
theory.cs.uvic.ca/~cos/amof/e_fiboI.htm
Fibonacci Numbers Spelled Out
http://ulcar.uml.edu/~iag/CS/Fibonacci.html

Fibonacci Numbers Spelled Out

Derivations usually omitted by gurus and left for the reader to agonize over.
ulcar.uml.edu/~iag/CS/Fibonacci.html
Fibonacci Numbers
http://math.holycross.edu/~davids/fibonacci/fibonacci.html

Fibonacci Numbers

A directory of material related to the Fibonacci numbers.
math.holycross.edu/~davids/fibonacci/fibonacci.html
The Life and Numbers of Fibonacci
http://pass.maths.org/issue3/fibonacci/

The Life and Numbers of Fibonacci

An article in PASS mathematics magazine.
pass.maths.org/issue3/fibonacci
Fibonacci Numbers and the Golden Section
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html

Fibonacci Numbers and the Golden Section

Fibonacci numbers and the golden section in nature, art, geometry, architecture, music, geometry and even for calculating pi! Puzzles and investigations.
www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html
Fibonacci Numbers with 666 Decimal Digits
http://pw1.netcom.com/~hjsmith/Fibonacc/Fib666T.html

Fibonacci Numbers with 666 Decimal Digits

Using program VPCalc and code file FastFib.VPC. There are 5 of them, F(3184) thro' F(3188).
pw1.netcom.com/~hjsmith/Fibonacc/Fib666T.html
Fibonacci Numbers Formulae
http://users.tellurian.net/hsejar/maths/fibonacci/

Fibonacci Numbers Formulae

Presented by Rajesh Ram.
users.tellurian.net/hsejar/maths/fibonacci
Fibonacci Numbers, Phi and the Golden Ratio
http://www.geocities.com/cyd_conner

Fibonacci Numbers, Phi and the Golden Ratio

Mathematical calculations; explanations of Phi, the Golden Ratio and Golden Rectangles; examples from art, architecture, music and nature.
www.geocities.com/cyd_conner
Fibonacci Numbers
http://pw1.netcom.com/~hjsmith/Fibonacc.html

Fibonacci Numbers

Explains Fibonacci Numbers and provides a program to calculate the numbers.
pw1.netcom.com/~hjsmith/Fibonacc.html
Fibonacci Numbers, the Golden Section and the Golden String
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/

Fibonacci Numbers, the Golden Section and the Golden String

A site about fibonacci numbers in nature, art, geometry, architecture and music.
www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci
Fibonacci and Lucas Factorizations
http://home.att.net/~blair.kelly/mathematics/fibonacci/

Fibonacci and Lucas Factorizations

Tables of known factorizations of the first 10,000 Fibonacci and Lucas numbers.
home.att.net/~blair.kelly/mathematics/fibonacci
Animation of Binet's formula for Reals
http://members.aol.com/kwpapke/Binet.html

Animation of Binet's formula for Reals

Interesting Applets showing Binet's formula for Fibonacci numbers extended for Reals.
members.aol.com/kwpapke/Binet.html
Fibonacci resources
http://www.dur.ac.uk/bob.johnson/fibonacci/

Fibonacci resources

Includes details of systematic matrix derivation of identities for Fibonacci and related sequences.
www.dur.ac.uk/bob.johnson/fibonacci
Fibonacci Sequence
http://www.mathacademy.com/pr/prime/articles/fibonac/

Fibonacci Sequence

Overview article in the Platonic Realms website.
www.mathacademy.com/pr/prime/articles/fibonac
Fibonacci and Lucas Numbers
http://www.lhsorg.org/

Fibonacci and Lucas Numbers

Electrical equivalence of discrete lumped cascaded T sections with the infinitesimal transmission line of distributed elements and with the Fibonacci and Lucas Numbers of 2n.
www.lhsorg.org
Fibonacci Number-Theorists
http://faculty.evansville.edu/ck6/bstud/fnt.html

Fibonacci Number-Theorists

Biographies, photographs.
faculty.evansville.edu/ck6/bstud/fnt.html
The Golden Section
http://www.ewersarchitecture.com/golden_section.htm

The Golden Section

A description of the Golden Section and its importance in architecture. Includes instruction on how to construct a Golden Section starting with a square.
www.ewersarchitecture.com/golden_section.htm
Willem's Fibonacci site
http://www.home.zonnet.nl/LeonardEuler/fiboe.htm

Willem's Fibonacci site

Provides information about fibonacci numbers, description, formulas and relation to other mathematical issues.
www.home.zonnet.nl/LeonardEuler/fiboe.htm
Mongoven, Casey
http://www.caseymongoven.com/

Mongoven, Casey

Official site of California-born artist who specializes in Fibonacci and golden proportion compositions. Includes music, art, writings on Fibonacci Numbers, favorite sequences, pictures, contact information, and links. In English and German.
www.caseymongoven.com
Fibonacci Quarterly
http://www.engineering.sdstate.edu/~fib/

Fibonacci Quarterly

The official publication of the Fibonacci Association tries to serve as a focal point for interest in Fibonacci numbers and related questions, especially with respect to new results, research proposals, challenging problems, and innovative proofs of old
www.engineering.sdstate.edu/~fib
Textism
http://www.textism.com/bucket/fib.html

Textism

Flash animation describing the series and the Golden Section
www.textism.com/bucket/fib.html
The Fibonacci Association
http://www.mscs.dal.ca/Fibonacci/

The Fibonacci Association

Focuses on Fibonacci numbers and related mathematics, emphasizing new results, research proposals, challenging problems, and new proofs of old ideas.
www.mscs.dal.ca/Fibonacci
Fibonacci Numbers
http://jwilson.coe.uga.edu/emt669/Student.Folders/Morris.Stephanie/EMT.669/Essay.3/Fibonacci.Essay.html

Fibonacci Numbers

Describes the series and lists a some iterations.
jwilson.coe.uga.edu/../../../../Essay.3/Fibonacci.Essay.html
Fibonacci Numbers
http://mathworld.wolfram.com/FibonacciNumber.html

Fibonacci Numbers

Describes the mathematic theory behind the numbers.
mathworld.wolfram.com/FibonacciNumber.html

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