I continue to walk in my remote forest. I came across an information billboard. There is a serious study of the phenomenon of a sagging chain. This concept has agitated the minds of the most prominent scientists for many centuries. The shape of a chain (rope) sagging under its weight turns out to be very difficult to describe mathematically.
I kept thinking it was a parabola. But no. The brilliant Antonio Gaudi was not a mathematician, but he built his famous structures precisely on the basis of a sagging chain. He was just looking at the rope and that was it. Without formulas. The rope shows what the shape of the arch and vault should be. You just need to turn everything 180 degrees.
The whole force of nature is here. I also decided to recharge with this power.))After carefully reading the scientific study from the billboard, I realized that no one could tell me the exact line of the sagging chain. You need to take a parabola line and not torture yourself. It is as similar as possible to the natural sagging line of the chain. I decided to model a lamp of a well-known brand, where there are conductive tapes hanging freely from the lamps. They are not available in ready-made models, there are only the lampshades themselves. I had to make these tapes myself. By the way, the article is here, read it, it's interesting.
The text on the billboard in the forest
so I placed the background image of the parabola graph, set it to a size of 80cm wide and surrounded part of this graph with a wall. The wall thickness is 0.5 cm, the wall height is 2.5 cm. It's just like in the life of the tape. Then I saved it to OBJ and imported it back as a model. I turned it on the X-axis by 90. The result is a natural ribbon that sags. It remains to place the lampshades above the table and carefully manipulating the width and height to glue my tapes to these lampshades. This is a graph of a parabola, but you need a graph of a cosine hyperbola or something else. I still don't get it. The parabola is quite suitable in appearance)).
as a result, we got such a lamp. Inside each lampshade, I placed a small white sphere with a power of 100%. To have the illusion of a white glow through the glass with the parameter d 0.5. I assigned a white TEXTURE for the glass, not a color. It turned out to be a white frosted glass with a light bulb inside the ceiling. An illusion, of course, but it looks like the truth.
