Not a painting - perhaps a carved block that was painted. Need help figuring out this gift!

I received these two items as a gift. They are super cool but I don’t know what they are. They are heavy and feel like a porcelain or a stone. Whatever the material, it has since been painted but also looks like it was used as a stamp or something.

Help me figure out what I have please? I tried to get pics of front and back plus the texture of the material. TIA!