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Mathematical knowledge in life: Why do cats sleep?
Math Tips in Life: Why do cats curl up when they sleep?

In winter, "cat cakes" and "jiaozi the dog" begin to appear ... Even if the room is warm, they still like to make balls. Every time I see fur balls sleeping in a circle, I really want to ask them if their wonderful posture with their heads against their buttocks is comfortable! In fact, this sleeping position is uncomfortable, but why is the hairball still like this? Today, let's take a look at the math science in life with the geek math gang.

When sleeping, we can do an experiment: curl up first and then stretch out. I believe you can come to the conclusion right away that the first posture is warmer. It's the same for a cat to curl up when sleeping, because it can greatly reduce the contact area with cold air, emit the least heat, and of course be warmer. If the cat is also a mathematician, it will sum up like this:? When the volume is the same, the surface area of the sphere is the smallest.

Of course, cats don't know any mathematical principles. It just evolved the most suitable behavior for the environment in a long time, which is the wisdom of nature.

Nature is not eccentric, and this wonderful wisdom has also given many animals and plants. For example, a spider writes many secrets on its web. Spider webs are symmetrical, complex and beautiful. Even if carpenters use compasses and rulers, when scientists study spider webs with mathematical equations and coordinate systems, they are shocked: complex mathematical concepts such as parallel lines, congruent corresponding angles, logarithmic spirals, catenary lines and transcendental lines are actually applied to this small spider web-no! Rather than saying that spiders apply mathematical principles, people feel the wisdom of nature from the exquisiteness of spider webs!

Corals are smaller than spiders, and their bodies are natural history books. They write down an annual ring pattern on the body wall every day, 365 in a year and 366 in a leap year, which is extremely accurate. Biologists found through research that there were 400 annual rings on corals 350 million years ago, which indicated that there were only 2 1.9 hours in a day and night on the earth at that time, and there were 400 days in a year. If it weren't for these corals, how could humans reproduce the appearance of the earth hundreds of millions of years ago?

The well-known golden section of 0.6 18 is not exclusive to Mona Lisa and Venus-to be exact, artists who learn from nature have created beautiful works. If you carefully observe a maple leaf, you will find that the ratio of its vein length to leaf width is about 0.6 18. The ratio of butterfly's body length to wing width and the diameter ratio of adjacent spirals on Nautilus shell are also close to 0.6 18.

Even our favorite pattern-the five-pointed star, its beauty comes from mathematics. We can find a picture of a regular five-pointed star, measure it with a ruler and calculate it. You will come to an amazing conclusion: every line segment on the five-pointed star conforms to the golden section. In nature, starfish, carambola and dill are also perfect five-pointed stars.

There is no shortage of mathematics in life. Observe carefully and love mathematics. You are a mathematician!