The Golden Ratio and the Fibonacci Numbers defined
The History of the Golden Ratio
The History of Fibonacci
Mathematical Properties of the Golden Ratio
Constructing a Golden Rectangle
The Secret of the Golden Ratio
The Golden Ratio and Beauty...
In Humans
In Nature
In Art
In Architecture
The Golden Ratio and Beauty in Nature
Plant Growth
What kind of relationship do Fibonacci Numbers and plants have? The process of the growing plant follows the Fibonacci numbers, from the first shoot, to the two shoots, three shoots, and five shoots, and eight shoots, and on and on.
The branching rates in plants occur in the Fibonacci pattern, where the first level has one "branching" (the trunk), the second has two branches, than 3, 5, 8, 13 and so on. Also, the spacing of leaves around each branch or stalk spirals with respect to the Golden Ratio.
Flowers
On the back of the passiflora incarnate, the 3 sepals (the part of the flower that is not the petal) that protected the bud are outermost, followed by the 5 outer green petals and an inner layer of 5 more paler green petals. In the front, 5 greenish, T-shaped stamens are gathered in the center, followed by the 3 deep brown carpels and styvle branches.
Petal Counts
The petals of the different flowers also contain the Fibonacci Numbers. The examples are that the buttercup has 5 petals, delphiniums has 8 petals, ragwort has 13 petals, aster as 21 petals, plantain has 34 petals, and asteraceae family has 55 petals, and some of them have 89 petals.
3: Lily, Iris
5: Buttercup, wild rose, lark spur, columbine
8: Delphiniums
13: Ragwort, corn marigold, cineraria
21: Aster, black-eyed susan, chicory
34: Plantain, pyrethrum
55: Michaelmas dasies, some asteracae
89: Asteracae
