Fibonacci numbers
Golden ratio relatives
Fibonacci numbers are a sequence where each number is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.
The sequence appears throughout mathematics and nature—in spiral patterns of shells and sunflowers, branching of trees, arrangement of leaves.
Named after the Italian mathematician who introduced the sequence to Western mathematics in 1202.
The Fibonacci numbers show up everywhere once you start looking for them.
- spiralCurve winding around center
- golden spiralSelf-similar expanding curve
- rabbitsBurrowing lagomorphs with long ears
- sequenceOrdered succession of elements
- LucasMale name meaning light
mathematics · recursion · seed · shell · golden ratio · sunflower · flower petals · seed head · Pascal's triangle · recurrence · pinecone · number theory · leaf · series · pattern · phi · addition · summation
- numbersone, two, four, three, 0
- fibonaccigolden ratio, phi, golden spiral, golden rectangle, golden section
- number sequencesarithmetic sequence, integers, perfect squares, Pascal's triangle, factorials
- number setsintegers, rationals, primes, perfect squares, fractions
- proportiongolden ratio, golden mean, golden section, phi, golden rectangle
- combinatoricspermutation, combinations, combination, counting, arrangements
Fibonacci numbersarithmetic sequence
Series with constant difference
geometric progression · random numbers · prime numbers · square numbers
Fibonacci numbersrandom numbers
Unordered, patternless integers
Fibonacci numberschaos
Complete disorder and confusion
disorder · entropy · randomness · turbulence