These are simple placement puzzles played upon a 4x4x4 field.
 
Cube:
The object is to form a cube. That means that by placing any sphere, it forms a cube pattern with seven others. These cubes can be 2x2x2, 3x3x3 and even the one 4x4x4 pattern.
Or form an orthogonal line of four spheres.
 
AntiCube:
The object is NOT to form a cube. That means that by placing any sphere, it does not form a cube pattern with seven others. These cubes can be 2x2x2, 3x3x3 and even the one 4x4x4 pattern.
Also, do NOT form an orthogonal line of four spheres.
 
So, be very very careful. Those lines and cubes can blindside you.