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Why do sunflowers have a discounted face?

Published: 2024-12-22 Author: mysheen

Last Updated: 2024/12/22, Have you found that the aspect ratios of ID cards, bank cards, subway tickets, train tickets, student cards, meal cards and all kinds of membership cards are all the same? You might as well pick up the card at hand and measure it, and you will find that the aspect ratio of these cards is close to 1.

Have you found that the aspect ratios of ID cards, bank cards, subway tickets, train tickets, student cards, meal cards and all kinds of membership cards are all the same? You might as well pick up the card at hand and measure it, and you will find that the aspect ratio of these cards is close to 0.618.

Yes, this number is the legendary "golden section" φ, which is about 1.618. You may also have heard of the Fibonacci series, where each number is the sum of the first two numbers, and the ratio of the two adjacent numbers approaches φ.

However, in reality, people feel that the proportion of beauty may not be exactly in line with the value of φ. An experiment shows that people will feel good-looking as long as it is a rectangle within the range of 1.4mur1.7.

It is natural to "understand" the meaning of φ better than human beings.

Sometimes, plants must "consider" the economy of space. In the case of inflorescences, some plants must arrange as many florets together as possible to enhance the attractiveness of "floret groups" and reduce mutual interference between florets, with as little overlap between florets as possible. make sure these florets have average space. The simulation shows that the arrangement of one flower per rotation of 137.5 °(2 π × (1-0.618)) is the most reasonable design, while in practice, the inflorescence of Compositae (such as sunflower) is arranged in this way.

The inflorescence of a sunflower. Picture: Pixabay

Does this spiral look familiar? Picture: TeXample.net

Count the spirals that extend outward from the center of the sunflower, and you will also find 34 left-handed curves and 21 right-handed curves on the sunflower disk with 300 florets. A larger disk can find more spirals, but the number of spirals is always Fibonacci. Similarly, it was found that the flowers and seeds of pineapple and pine cones were similarly arranged, with 8 spirals and 13 spirals. 34, 21, 8, 13, these are Fibonacci numbers.

The spiral of the pine tower: left-handed 13, right-handed 8. Picture: pinterest.com

You can say that natural selection is 0.618.

φ day (June 18) is approaching, on that day, 2018 has just passed 168 days. The fruit shell store has sent you a surprise discount in the middle of the year--

Fruit shell store is on sale in 618 years.

All the goods in the store except books

A maximum reduction of 100 yuan

There are also small chapter package offers that can be superimposed.

Come and buy it.

Scan the code and get the coupon immediately.

Discount on selected items

After 168, a reduction of 10 yuan

Original hand-painted scarf

Original price 168

158 yuan to take away

Natural theme scarf