THese 2 lamps share the same basic shape; the fancy one has added ribs.The lamp has 2 separate parts: the base and the shade. The base holds the light source which is a standard 68mm/2.75" diameter LED "puck" light that is powered by 3 AAA batteries. I bought 3 of these lights at Lowes for $9.98 batteries included.
Here is a link to the puck light:
PS: you'll see a slight printer error at the top of the ribbed lamp photo; that error was with my printer and is not in the STL file. I'll replace the photo when I make a new print.