I've printed all of these parts in PETG and had reasonable success. The corners of the large parts tend to want to curl up so make sure your first layer is dialed in and your bed is clean. You will also need to flip the top half of the core in your slicer so it prints upside down.
Supports are necessary as follows:
Additionally, I've found it helpful to set a solid infill threshold of about 35 sq. mm when printing the core halves to ensure that the mounting tabs are nice and solid.
For the lithophane, I like to set a filament change point one or two layers before the “shoulder”, using white for the base layers and the shell color for the top layers. This gives the text some good contrast both while backlit as well as not. Enabling ironing has also produced nice results for me when printing these.
The author marked this model as their own original creation.