Understanding and Solving the Rubik's Cube Without Algorithms
Now it's your turn to practice designing commutators with the exercises proposed below. With careful observation and practice, you will become proficient in performing any 3-corner or 3-edge swap, regardless of their positions on the cube!
To simplify the process, feel free to rotate the entire cube while keeping the swap layers in a more comfortable position for your viewing and thinking. For instance, you can focus on the upper layer and the down layer, making it easier to visualize and plan your moves.
Exercise (a)
Place the pink corner in place of cyan, the cyan in place of green, and the green in place of pink.
You can interact with the image by rotating the cube and layers. If you need to start over just click reset (∣◁).
To see a possible solution expose the hidden tab by clicking ∨.
B' D B U' B' D' B U
Click reset (∣◁) then play (▷) to see this sequence.
Please note that this is just one of the possible solutions. If you have discovered an alternative solution, congratulations on your achievement!
Exercise (b)
Place the pink corner in place of green, green in place of cyan, and cyan in place of pink.
You can interact with the image by rotating the cube and layers. If you need to start over just click reset (∣◁).
To see a possible solution expose the hidden tab by clicking ∨.
B L' B' R2 B L B' R2
Click reset (∣◁) then play (▷) to see this sequence.
Please note that this is just one of the possible solutions. If you have discovered an alternative solution, congratulations on your achievement!
Exercise (c)
Place the pink corner in place of cyan, the cyan in place of green, and the green in place of pink.
You can interact with the image by rotating the cube and layers. If you need to start over just click reset (∣◁).
To see a possible solution expose the hidden tab by clicking ∨.
L' B L F2 L' B' L F2
Click reset (∣◁) then play (▷) to see this sequence.
Please note that this is just one of the possible solutions. If you have discovered an alternative solution, congratulations on your achievement!
Exercise (d)
Place the pink edge in place of green, green in place of cyan and cyan in place of pink.
You can interact with the image by rotating the cube and layers. If you need to start over just click reset (∣◁).
To see a possible solution expose the hidden tab by clicking ∨.
M D' M' U M D M' U'
Click reset (∣◁) then play (▷) to see this sequence.
Please note that this is just one of the possible solutions. If you have discovered an alternative solution, congratulations on your achievement!
App source: animcubejs.cubing.net/animcubejs.html