Calculate the Nth Fibonacci number, generate sequences, check Fibonacci membership, and explore the Golden Ratio.
Formula: F(n) = F(n-1) + F(n-2), F(0) = 0, F(1) = 1
Sunflower seeds are arranged in spirals following Fibonacci numbers.
The nautilus shell spiral closely resembles the Fibonacci (golden) spiral.
Tree branching patterns often follow the Fibonacci sequence.
Lily (3), buttercup (5), cosmos (8), marigold (13) — many flowers have Fibonacci petal counts.
0, 1, 1, 2, 3, 5, 8, 13, 21... Each number is the sum of the two preceding ones. F(n) = F(n-1) + F(n-2).
The ratio of consecutive Fibonacci numbers converges to φ ≈ 1.618034. It appears in art, architecture, and nature.
Up to N=78 is accurately calculated within JavaScript safe integer range.
The Fibonacci Calculator provides Nth number calculation, sequence generation, Fibonacci number checking, and Golden Ratio convergence. Includes spiral visualization and examples of Fibonacci in nature.