Scientific counterfeiting! The fable that crows drink water has deceived us for so many years!

When we were young, we heard a fable called "The crow drinks water". The clever crow knows how to throw stones into the bottle, make the water surface rise and drink water. But recently my faith collapsed, because I found that crows can't drink water at all.

Let's simulate an experiment: Aesop's Fables didn't specify the shape of the bottle, so here, I simulated eight kinds of bottles. Remember that you are a crow and you have no hands. What about water? Where's the pit crow What about the crow in the pit? ! Where are all the pit crows! The water level stopped when it rose to half. The cylindrical water level rises faster like this. The more you want to rise, the more difficult it is for the inverted conical water level to rise. Therefore, the stories in fairy tales are all lies. If you want to get good grades in science, you should pay more attention to advice.

Let's re-examine this fable from the perspective of academic research. Is it really useless for crows to throw stones into bottles? That's not true. The reason why crows can't drink water is that there are many cracks between stones. We just need to arrange the stones and constipation (densification) well, and this crow may be able to drink water!

Crows who have attended the second grade of primary school should have learned the "three-dimensional closest tile". So it can find cubic stones, so there is no gap at all, so crows can drink less water. It can also find so many octahedrons and tetrahedrons that are closely stacked in the way of 1: 1 to drink water easily; It can also find truncated octahedron and regular tetrahedron stacked closely in the way of 1:2, so it is easy to drink water; It can also be stacked closely according to the large inclined cube and the eight diagrams mirror in the way of 1:3, and drinking water is also very convenient. This is that knowledge changes fate, and ignorance has no choice.

But I can understand that there are no crows who have gone to school in the world, but where do so many stones come from in life? Aesop's fable does not stipulate that crows drink water in several dimensions. If this is a high-dimensional crow, can you drink water in the face of a high-dimensional bottle? Although scientists have calculated the accumulation of 2-24 dimensions through classical calculation, the strict proof of 4-7 dimensions is still a mystery. You can try it if you are interested. The result is amazing. With the increase of size, the close packing degree of spheres becomes smaller. In the dimension 1 1, the ball next to the ball only occupies about 25. 1% of the space. In 24 dimensions, even if filled with balls, it only takes up 0. 19% of the space. Then this is desperate. The higher the crow flies, the less willing it is to drink water. So this crow has to wait for death? There is also a last method that does not exist: "two-way foil". Fold yourself and the water bottle directly into a plane, which is a two-dimensional space. In the plane, pebbles can occupy 90.7% of the whole space, that is to say, as long as there is 10% water, this flat crow can drink water!

So when I tell this story to my child in the future, I will not only tell him that crows can not only think of raising the water surface by piling stones, but also tell him that crows need to pile stones, space and dimension, the shape of bottles and so on. ? The fable "crow drinks water" tells us that we should think from a different angle when we encounter problems, but thinking from a different angle has been an unsolved mystery in academic circles for centuries. This is the real crow spirit!