Tetrahedrons
Size: 4; Number of spheres: 20
These pieces make nice puzzles to be solved by hand.
Size: 5; Number of spheres: 35
Size: 6; Number of spheres: 35
Size: 7; Number of spheres: 84
Size: 8; Number of spheres:120
Size: 9; Number of spheres: 165
Size: 10; Number of spheres: 220