Symmetry / Simetria (1)

Cube (1) puzzle

In each of these photos one can see the two natural solutions of the cube (1) puzzle. They are taken in such a way that one can see they are symmetric by a reflection (here colours do not matter, only numbers matter). The "mirror" is in the middle of the photo. This is the reason why there is only one equivalence class in this puzzle. These two solutions are equivalent.

Duality / Dualidade (1)

Cube (1) and Octahedron (1) puzzles

Cube (1) has 2 solutions (1 equivalence class). Octahedron (1) has 16 solutions (3 equivalence classes). The solutions in the photos are dual. Remark the numbers around a vertice in one solution and the numbers in a face of the other solution: they are the same.