yesterday my sister send me a YouTube link about a tiling puzzle game: https://youtu.be/A9KU_gPOaGU.
Can one deduce from the geometry of the pieces alone whether there is something special about this puzzle in a mathematical sense? Can it really be the hardest tiling puzzle that can be designed with 66 parts? I am a little skeptical about that.
Best regards.

Yep, that it's based on one of the classic kites-and-darts or rhombs Penrose Tilings is also my guess. I'm trying out a few things right now. When I find a substitution for the tiles I will post it.
I cut out some pieces from paper, and they can be put together well. So probably the frame can be filled very quickly, but only almost. That probably makes it difficult.