30 Coloured Cubes Puzzle

The "30 Coloured Cubes Puzzle" involves a set of 30 unique cubes, each with its six faces painted using six different colors. Two cubes are considered different if they cannot be arranged side-by-side with all corresponding faces matching. Many puzzles can be created using these colored cubes, and some have been released commercially under names like the Mayblox Puzzle and the Tantalizer.1

This is distinct from the Soma Cube, which is a dissection puzzle made of seven irregular shapes formed by combining three or four unit cubes. The Soma Cubes can be assembled into a larger 3x3x3 cube in over 230 different ways and can also form various other shapes.2