Suborder: Serpentes

Linnaeus, 1758

The fins of manta ray, the wings of insects, etc. There is no bones articulations in them. there are some voluntary movements who cannot show his biomechanical kinetic structure. In this case, we can concentrate on the path curve of the tip of movement. in the summer of 2013, I found that the trajectory of the figure eight gives the voluntary movement of the body of snakes. with the same concept, I also understand the mechanism of the fins of manta ray.

I found a logical order in the sinusoid wave. There are similar kinds of mechanism that are arranged in parallel when their phases shift. ... Then at the cafe of Pompidou center in Paris when I made two glasses roll horizontally, I found that to create a crawling snake figure, I could draw a trajectory figure in shape of the number eight, which can also represent infinity. The trajectory of the number eight also appears in Chinese martial arts that imitate the movements of natural animals. Please see below for the details of the trajectory of the formula.

I furthered my research on basic mechanical linkage to draw the trajectory of the figure eight. This mechanical linkage basis, which has fine proportions, can be expressed with geometric shapes, the combination of a square and a parallelogram, two isosceles and orthogonal triangles, and an isosceles right triangle. This trajectory of the figure eight is in flat shape. There is a circle on the left and another on the right, and they are slightly different from each other. One end is pointed and the other end is rounded.