"Scramble Squares" is a card-tiling puzzle which looks like a specialized form of Truchet Tiling.

https://scramblesquares.com

There are 9 square (non-identical) tiles in a set. Each edge of each tile displays half of a two-sided symbol (eg cats, dogs, flags, etc.). Goal is to arrange the tiles in a 3x3 grid so that all touching edges match with corresponding symbol halves.

Looks simple at first, but a real challenge.

Size of the entire solution space is 9! * 4^9 (billions), and brute-force solvers have been written in Python:

https://github.com/roadfoodr/scramble-squares-solver

What are the combinatorial rule(s) used to construct these tiles ?? Some clues: https://www.reddit.com/r/puzzles/comments/1e09up6/help_how_t...

Kathie Gavin (designer of Scramble Squares) says the design was inspired by "ancient Egyptian tile patterns" she saw in a museum. Does anyone know more about this?