(1) The arrangement of sunflower seeds is a typical mathematical model. If you carefully observe the sunflower disk, you will find two groups of spirals, one rotating clockwise and the other rotating counterclockwise, which are embedded in each other. Although the number of seeds and spirals in clockwise and counterclockwise directions of different sunflower varieties are different, they will not exceed three groups of numbers, 34 and 55, 55 and 89 or 89 and 144, and each group of numbers is two adjacent numbers in Fibonacci series. Botanists have found that in nature, these two spiral structures will only appear in some "magical" combinations at the same time.

For example, clockwise 2 1, counterclockwise 34, or clockwise 34, counterclockwise 55. Interestingly, these numbers belong to a specific series: Fibonacci series, namely 1, 2, 3, 5, 8, 13, 2 1, 34 and so on. Each number is the sum of the first two numbers. Not only the arrangement of sunflower seeds, but also daisies, new branches of pear trees, pine cones, wild roses and thistle leaves all follow this natural law.

(2) If you carefully observe the daisies, you will find that there is a similar mathematical model in the spiral arrangement of Daisy A called the autumn disk, but the number is slightly smaller, with 265,438+0 turning right and 34 turning left. In the spiral inflorescence with daisy corolla arrangement, the florets are arranged at an included angle of 137 degrees and 30 minutes. This subtle angle can ensure that every petal on the daisy stem can receive the maximum sunlight.

(3) The cactus has the characteristics of this series in structure. The researchers analyzed the cactus shape, leaf thickness and a series of factors that control the cactus condition, and found that the Fibonacci sequence structural characteristics of cactus can minimize energy consumption and adapt to its growing environment in arid desert.

(4) The rhombic scales on the pineapple fruit are arranged in rows, with an inclination of 8 rows to the left and 13 rows to the right.

(5) The cone of Norwegian spruce has three rows of scales in one direction and five rows of scales in the other direction.

(6) Larix gmelinii is a conifer, and the scales on its pine cones are arranged in five rows and eight rows respectively in two directions.

(7) Pine cone scales of American pine are arranged in three rows, five rows and two directions.

(9) Branching of trees: If you grow 1 tree every year, there will be 2 branches in the second year, generally 3 branches in the third year, 5 branches in the fourth year, 8 branches in the fifth year, …, and the number of branches per year is Fibonacci number.