Summary

Although this geometry looks like it is based on sine curves it is actually a simple Loft surface made from 4 circles, topped with a hemisphere. I saw this shape (much larger and apparently made of wood) at a hotel in Barcelona and thought it might make an interesting table lamp. When I got home I tried making it with sine curves, but those didn't work. So I put it away while I waited for some sort of inspiration. A few weeks later I saw a similar shape made by 3D surfacing 4 circles - but that one had an open top. So I tweaked it to use a Loft surface and added a hemisphere to close the top and reflect more light.

The print finished in a bit less than 7 1/2 hours using a print speed of 100 mm/sec and layer height of 0.200 mm.

This STL file is 200 mm. in diameter, but it should be scaleable to a smaller size if necessary. It will work with any one of several LED lights called "puck" lights. You can get these powered by either batteries of wall power. This blog page has links for wall powered lights that work well: http://birkbinnard.com/blog/wall-powered-led-lights/. For many more options just Google "led puck lights." So-called ring lights would also work.

The first time I tried printing this the print failed because the outside section disconnected itself from the print bed after a couple of hours of printing. This happened because the bottom outside edge is fairly thin. So for this print I added a single loop of brim to increase the contact area, and that was enough to keep the print in place.