Therefore, the size of this side cannot be smaller than the span of water molecules. Therefore, the side length of a snowflake cannot be infinite. From the above description, we can know that the infinite perimeter of snowflakes is unrealistic. Fractal geometry can indeed exist in mathematical models. But there are still many constraints in reality. So it is unreasonable to say that the circumference of snowflakes is infinite, but it is still possible to say that the circumference of snowflakes is greater than the diameter of the earth.
When we take this side length to the minimum limit, we can calculate it accurately. You can try it if you are interested. Similarly, every face after the change has become 4/3 times of the original, so the circumference of the whole picture has become 4/3 times of the original, and the total circumference of this picture has become 4/3 square. Through many calculations, we can find out the law. Every time we change, the circumference becomes four-thirds of the original.
So we can get the following formula. Because fractal geometry is composed of infinite fractals, and the changing n is infinite, we can get the result that the circumference of snowflake is infinite. When water condenses, specific structures are formed between water molecules. This is because when the crystal formed by water grows, it will grow in a specific direction and form a specific structure due to the influence of the structure of water molecules themselves. When they grow to a certain extent, they will form branches and continue to grow in the original way, thus forming the snowflake shape we see. ?
The question of how to calculate the circumference of a snowflake and why it is infinite is explained here today.