When we look at spiders' webs, especially those of silkworms and striped spiders, we will find that their webs are not chaotic, and those spokes are evenly arranged, and each pair of adjacent spokes forms the same angle; Although the number of spokes varies from spider to spider, this rule applies to all kinds of spiders.
We already know that spiders weave webs in a special way. It divides the web into several equal parts, and the same spider has the same number of parts. When it was placed, we only saw it jumping in all directions, which seemed irregular, but the result of this irregular work was a regular and beautiful net, just like a rose window in a church. Even if he uses compasses, rulers and other tools, no designer can draw more standardized ones.
We can see that on the same sector, all the chords, that is, the transverse spokes that make up a spiral coil, are parallel to each other. The closer to the center, the farther the distance between these chords is. Each chord intersects with the two spokes supporting it into four angles, two on one side are obtuse angles and the other two are acute angles. The obtuse and acute angles formed by chords and spokes in the same sector are exactly equal-because these chords are parallel.
Not only that, according to our observation, these equal acute angles and obtuse angles are equal to those in other sectors, so generally speaking, this spiral coil includes a set of rungs and a set of spokes intersecting at equal angles.
This feature reminds us of what mathematicians call the logarithmic spiral. This curve is very famous in the field of science. Logarithmic spiral is an endless spiral, always turning around the pole, getting closer and closer to the pole, but never reaching the pole. Even with the most sophisticated instruments, we can't see the complete logarithmic spiral. This number exists only in the imagination of scientists. Strangely, the little spider also knows this line, and it is based on this line.
This spiral has another feature. If an elastic thread is used to wind it into a logarithmic spiral pattern, then it is released, and then the released part is tightened, then one end of the thread will be pulled into a spiral completely similar to the original logarithmic spiral, but the position will be changed. This theorem was discovered by a math professor named Jacques Bonoli. After his death, later generations carved it on his tombstone, which was the most glorious deed in his life.