Summary

These 2 are smaller versions of https://www.thingiverse.com/thing:4597929 (where there's a short explanation of what a superellipse is.) Because of their smaller size these 2 are more easily printed: #2 took a little over 14 hours and #3just under 20 hours. Both printed at 90 mm/sec and a layer height of 0.200 mm.

Both lamps are designed to hold 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."