I have made improvements to my box jointed tiles by adding more shapes to include equilateral triangles, squares, rhombus, and regular pentagons. Other shapes are possible, but the squares are much more versatile to use than any of the other shapes. I first made these while playing with an idea for making small box jointed boxes. Box joints are similar to finger joints, but the difference is that finger joints are tapered making them easier to assemble. Precision is required for box joints with just the right amount of friction to stay together without glue. They would not be as much fun to play with if you had to glue them together permanently to keep them from falling back apart. Here is a video I made that shows some of the geometric forms that can be made with them.
An article written by George Hart about my box-jointed tiles.