The print does need supports on the base the legs do not need them. It fits a E27 socket like this one: https://www.amazon.de/dp/B0CKX82QN3?psc=1&ref=ppx_yo2ov_dt_b_product_details

The base just needs to be pressed into the legs, maybe you need to add some glue. It fits Lithophanes with 180mm diameter.

I generated the lithophane using https://itslitho.com/ with 178mm Diameter min. thickness of 0.4mm and max thickness of 2.0mm.