What Have These Got in Common?

1.618034

The Fibonacci Sequence & The Golden Ratio Pine Cones and Snails

The Fibonacci Sequence 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 3, 5, 1, 1, 2, 3, 5, 8, 1, 1, 2, 3, 5, 8, 13, 1, 1, 2, 3, 5, 8, 13, 21, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

1, 1, 2, 3, 5, 8, 13, 21, 34, 55 … 1/1 = 1.000 2/1 = 2.000 3/2 = 1.500 5/3 = 1.667 8/5 = 1.600 13/8 = 1.625 21/13 = 1.615 34/21 = 1.619 55/34 = 1.618 … = …

A Snail Shell

Box Side 1 1 little square

Box Side 1 2 1 more little square

Box Side 1 2 3 2 x 2 square

Box Side 1 2 3 4 3 x 3 square

Box Side 1 2 3 4 5 5 x 5 square

Box Side 1 2 3 4 5 6 8

Box Side 1 2 3 4 5 6 8 7 13

Box Side 1 2 3 4 5 6 8 7 13 21

Box Side 1 2 3 4 5 6 8 7 13 21

A Pine Cone Where is the Fibonacci Number Here?

15 Spirals Anti-clockwise 8 Spirals Clockwise

The Fibonacci Sequence in Nature