I remixed this design to fit with metric circular 3mm diameter by 1mm thickness magnets.
The holes for the magnets are designed at 3.2mm to account for shrinkage.
I also added a handle to the main part to be able to more comfortably hold it in your hand when playing.

You need to print the Tiles 2 times per colour and glue them in, as well as glue the magnets into them.
You need to print the Pieces once per colour and glue the magnets into them.
Both of these files can and should be printed without supports

The sphere has some supports built in, but you might need some more to support the top of the dome. I used tree supports in cura as they led to an easily removable support layout that wrapped around the handle.
Printing the base sphere in something other than black/white, like wood, might also look nice but I haven't tried it.

In total, 96 round 3mm x 1mm magnets are required.

I don't have the original files as I only modified the given stl files, but if you want some other file format from my modification I'll check if I can provide it.

It's easiest to correctly assemble the tiles onto the sphere by carefully considering how to do it beforehand and marking each tile and spot with the correct number. Better think about it one too many times than one too few.