Spiders weave webs in a special way. They divided the web into several equal parts, and the same spider had the same number of parts. When the spider weaves a web, we see it jumping in all directions, which seems irregular, but this irregular work finally forms a regular and beautiful web, just like the rose window in the church. Even with tools such as compasses and rulers, no designer can draw a more standardized net.

Spider weaving principle

We can see that on the same sector, all the chords, that is, the transverse spokes of the spiral coil, are parallel to each other, and the closer to the center, the farther the distance between chords. Each chord intersects with two spokes supporting it to form four angles, two of which are obtuse and the other two are acute. 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, we carefully observe that these equal acute angles and obtuse angles are equal to those of other sectors. Therefore, generally speaking, this kind of spiral coil includes multiple sets of rungs and multiple sets of rungs, which intersect with spokes at equal angles. This is what mathematicians call a logarithmic spiral.

This kind of curve is famous in the field of science. Logarithmic spiral is an endless spiral, always winding at 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 kind of figure only exists in the imagination of scientists, but surprisingly, the little spider also knows this line. It follows the law of this curve and winds its spiral on the internet, and it is done very accurately.

This spiral has another feature. If you wind an elastic thread into a logarithmic spiral pattern, then loosen the thread and tighten the loosened part, the moving end of the thread will become a spiral completely similar to the original logarithmic spiral, but the position has changed. This theorem was discovered by a math professor named Jacques Bonoli. After his death, later generations carved this theorem on his tombstone, which is one of the most glorious deeds in his life.

So, what is guiding the spider? There is nothing but natural skills. Natural skills enable animals to control their work, just like the arrangement of petals and pistils in plants. They are born like this. No one taught them how to do it, but in fact, they can only do such a job. Spiders practice advanced geometry unconsciously and work naturally with their innate skills.