Fibonacci number
Sum of predecessors
A Fibonacci number is any number in the sequence where each term equals the sum of the two preceding terms: 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, in branching structures, in financial analysis.
The spacing follows the Fibonacci numbers.
Ordered succession of elements
- recursionProcess invoking itself
- seriesOrdered set of related items
- formulaFixed method or notation
- integerNumber lacking fractions
summation · recurrence relation · generating function · identity · divisibility · periodicity · induction · proof
Curve winding around center
- nautilusChambered marine mollusk
- sunflowerTall daisy-family plant
- pineconeWoody seed-bearing structure
- shellHard outer covering
seedhead · branching · artichoke · pineapple · romanesco · honeybee · flower · nature
Process invoking itself
- iterationRepeated procedural pass
- algorithmFinite problem-solving procedure
- computationMathematical processing work
- complexityState of being complicated
linear time · optimization · base case · pseudocode · efficiency · programming · loop
Self-similar expanding curve
- logarithmic spiralCurve maintaining constant tangent angle
- nautilus shellChambered cephalopod's outer covering
- galaxyGravitationally bound stellar mass
- hurricaneViolent tropical windstorm
chambered · whorl · helix · coil · sunflower head · curl · tendril · vortex
sequence
Ordered succession of elements
integer · summation · recurrence relation · generating function · identity · divisibility · periodicity · induction · proof · theorem
spiral
Curve winding around center
- nautilusChambered marine mollusk
- sunflowerTall daisy-family plant
- pineconeWoody seed-bearing structure
shell · seedhead · branching · artichoke · pineapple · romanesco · honeybee · flower · nature · growth pattern
recursion
Process invoking itself
- iterationRepeated procedural pass
- algorithmFinite problem-solving procedure
- computationMathematical processing work
complexity · linear time · optimization · base case · pseudocode · efficiency · programming · loop
historical
Of documented times
- thirteenth centuryYears 1201 to 1300
golden spiral
Self-similar expanding curve
- logarithmic spiralCurve maintaining constant tangent angle
- nautilus shellChambered cephalopod's outer covering
- galaxyGravitationally bound stellar mass
hurricane · chambered · whorl · helix · coil · sunflower head · curl · tendril · vortex · snail
- numbersone, two, four, three, 0
- combinatoricspermutation, combinations, combination, counting, arrangements
Fibonacci numbergeometric progression
Series multiplying by constant
arithmetic sequence · factorial · triangular number · prime number · square number
Fibonacci, number, numbers, numbered, numbering, numberless, numeral, numerals, numerate