💾 Archived View for jsreed5.org › twisty › nxnxn › 3 › layer-by-layer-example.gmi captured on 2024-09-29 at 00:53:33. Gemini links have been rewritten to link to archived content
⬅️ Previous capture (2023-01-29)
-=-=-=-=-=-=-
---
Hold the cube so that the yellow face is on U and the orange face is on F. Then apply the following moves:
B2 R2 U' R2 B2 U R2 U2 L2 U' B2 F2 R2 F' R' D' U2 R' F2 D L2 U'
The puzzle should look as follows:
____________ B U /_R_/_W_/_G_/| +---+---+---+ /_G_/_Y_/_G_/Y| | R | R | B |\ / G / Y / W /W/| +---+---+---+W\ +---+---+---+R/G| R | Y | R | Y |\O\ | Y | O | G |/B/| +---+---+---+B\O| +---+---+---+W/W| | O | R | Y |\G\| | O | O | O |/B/ +---+---+---+R\B| L +---+---+---+B/ \_B_\_Y_\_B_\G\| | W | R | Y |/ \_W_\_W_\_R_\O| +---+---+---+ D \_O_\_B_\_G_\| F
Interact with this scramble over Gemini
---
To clarify our goal, the following rendering blanks out all cubies except the centers and the four white edges.
____________ B U /___/_W_/___/| +---+---+---+ /___/_Y_/_G_/ | | | R | |\ / / / /W/| +---+---+---+ \ +---+---+---+ / | R | | R | |\ \ | | | |/B/| +---+---+---+ \ | +---+---+---+W/ | | | | |\G\| | | O | O |/B/ +---+---+---+ \ | L +---+---+---+ / \___\___\___\ \| | | | |/ \_W_\_W_\___\ | +---+---+---+ D \___\___\___\| F
The white-blue edge is already solved.
We can solve the white-orange edge in one move:
F
____________ B U /___/_W_/___/| +---+---+---+ /___/_Y_/_G_/ | | | R | |\ / / / /W/| +---+---+---+ \ +---+---+---+ / | R | | R | |\ \ | | | |/B/| +---+---+---+ \ | +---+---+---+ / | | | | |\G\| | | O | |/B/ +---+---+---+ \ | L +---+---+---+ / \___\___\___\ \| | | O | |/ \_W_\_W_\___\ | +---+---+---+ D \___\_W_\___\| F
Rotate the entire cube in your hands until the red face is in front. The white-red edge is connected to the red center and is corretly-oriented, so it too can be solved in one move:
y2 F
____________ B U /___/___/___/| +---+---+---+ /_G_/_Y_/___/ | | | | |\ / / / / /| +---+---+---+ \ +---+---+---+ / | R | | R | |\W\ | | | |/G/| +---+---+---+ \ | +---+---+---+ / | | | R | |\B\| | | R | |/ / +---+---+---+ \ | L +---+---+---+ / \___\_W_\___\B\| | | R | |/ \___\_W_\_W_\ | +---+---+---+ D \___\_W_\___\| F
Rotate the entire cube in your hands until the green face is in front. Adjusting the U layer moves the white-green edge to the UF spot, but it is flipped:
y U2
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / G / / /| +---+---+---+ \ +---+---+---+ / | R | | B | |\ \ | | W | |/O/| +---+---+---+ \ | +---+---+---+ / | | | B | |\R\| | | G | |/O/ +---+---+---+ \ | L +---+---+---+ / \___\_W_\___\R\| | | | |/ \_W_\_W_\_W_\ | +---+---+---+ D \___\___\___\| F
We now solve the white-green edge.
R U' R' F
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / / / /| +---+---+---+ \ +---+---+---+ / | R | | B | |\ \ | | | |/O/| +---+---+---+ \ | +---+---+---+ / | | | B | |\R\| | | G | |/O/ +---+---+---+ \ | L +---+---+---+ / \___\_W_\___\R\| | | G | |/ \_W_\_W_\_W_\ | +---+---+---+ D \___\_W_\___\| F
The white edges are now solved.
---
To clarify our goal, the following rendering blanks out all cubies except the centers, all currently-solved cubies, and the four white corners.
____________ B U /___/___/_B_/| +---+---+---+ /___/_Y_/___/O| | W | | |\ / / / G / /| +---+---+---+ \ +---+---+---+O/ | R | | B | |\ \ | | | W |/O/| +---+---+---+ \ | +---+---+---+ /G| | W | B | W |\R\| | | G | |/O/ +---+---+---+B\ | L +---+---+---+ / \_R_\_W_\_R_\R\| | | G | |/ \_W_\_W_\_W_\ | +---+---+---+ D \___\_W_\___\| F
The white-orange-green corner is at UFR sitting directly above its spot, so it can be solved immediately:
F' U' F
____________ B U /_B_/___/___/| +---+---+---+ /___/_Y_/___/ | | | | O |\ / / / / /| +---+---+---+W\ +---+---+---+ / | R | | B | |\ \ | | | |/O/| +---+---+---+ \ | +---+---+---+ /G| | W | B | W |\R\| | | G | |/O/ +---+---+---+B\ | L +---+---+---+O/ \_R_\_W_\_R_\R\| | | G | G |/ \_W_\_W_\_W_\ | +---+---+---+ D \_W_\_W_\___\| F
Note that the white-orange-blue corner moved while we were solving the white-orange-green corner.
Rotate the entire cube in your hands until the orange face is in front, then adjust the U layer to move the white-orange-blue corner above its spot:
y U
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / / B / /| +---+---+---+ \ +---+---+---+W/ | R | | R | |\ \ | | | O |/B/| +---+---+---+ \ | +---+---+---+ /W| | B | R | |\G\| | | O | |/B/ +---+---+---+ \ | L +---+---+---+W/ \_R_\_W_\___\G\| | O | O | G |/ \_W_\_W_\_W_\G| +---+---+---+ D \_R_\_W_\_W_\| F
We now solve the white-orange-blue corner.
R U R'
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / G / / / /| +---+---+---+ \ +---+---+---+ / | R | | R | |\ \ | W | | |/B/| +---+---+---+ \R| +---+---+---+ /W| | B | R | |\G\| | | O | |/B/ +---+---+---+ \ | L +---+---+---+B/ \_R_\_W_\___\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
The white-red-green corner is in the U layer, so we solve it next. Rotate the entire cube in your hands until the the red face is in front, then adjust the U layer until the white-red-green corner is above its spot and solve.
y2 U R U R'
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / / / /| +---+---+---+ \ +---+---+---+ / | R | | O | |\ \ | | | |/G/| +---+---+---+ \ | +---+---+---+ /G| | O | O | O |\B\| | | R | |/G/ +---+---+---+B\ | L +---+---+---+G/ \_W_\_W_\_W_\B\| | B | R | R |/ \_W_\_W_\_W_\W| +---+---+---+ D \_W_\_W_\_R_\| F
The last corner, the white-red-blue corner, is in its correct place but incorrectly oriented. Rotate the entire cube in your hands until the blue face is in front, then remove the corner from its place:
y' R U R' U'
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / / W / /| +---+---+---+ \ +---+---+---+B/ | R | | G | |\ \ | | | R |/R/| +---+---+---+ \ | +---+---+---+ /R| | G | G | G |\O\| | | B | |/R/ +---+---+---+O\ | L +---+---+---+ / \_W_\_W_\_W_\O\| | B | B | |/ \_W_\_W_\_W_\O| +---+---+---+ D \___\_W_\_W_\| F
The algorithm to place the white-red-blue edge is slightly longer.
R U2 R' U' R U R'
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / / / /| +---+---+---+ \ +---+---+---+ / | R | | G | |\ \ | | | |/R/| +---+---+---+ \ | +---+---+---+ /R| | G | G | G |\O\| | | B | |/R/ +---+---+---+O\ | L +---+---+---+R/ \_W_\_W_\_W_\O\| | B | B | B |/ \_W_\_W_\_W_\O| +---+---+---+ D \_W_\_W_\_W_\| F
The white corners are now solved, as are the white face and the bottom equatorial layer.
---
To clarify our goal, the following rendering blanks out all cubies except the centers, all currently-solved cubies, and the four middle edges.
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/_R_/ | | | | |\ / / B / /G/| +---+---+---+ \ +---+---+---+ /B| R | R | G | O |\ \ | | O | |/R/| +---+---+---+G\ | +---+---+---+ /R| | G | G | G |\O\| | | B | |/R/ +---+---+---+O\ | L +---+---+---+R/ \_W_\_W_\_W_\O\| | B | B | B |/ \_W_\_W_\_W_\O| +---+---+---+ D \_W_\_W_\_W_\| F
We have a few options to proceed, but since the orange-blue edge is prominent in the UF spot, we'll solve it first. Rotate the entire cube in your hands until the orange face is in front, then adjust the U layer so that the orange-blue edge is connected to the orange center.
y' U
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/_R_/ | | | | |\ / / B / /G/| +---+---+---+ \ +---+---+---+ / | R | | R | B |\ \ | | O | |/B/| +---+---+---+R\ | +---+---+---+ /B| | R | R | R |\G\| | G | O | |/B/ +---+---+---+G\O| L +---+---+---+B/ \_W_\_W_\_W_\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
We now solve the orange-blue edge.
U R U R' U' F' U' F
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / R / / /| +---+---+---+ \ +---+---+---+ / | R | | R | B |\ \ | | G | |/B/| +---+---+---+R\ | +---+---+---+B/B| | R | R | R |\G\| | G | O | O |/B/ +---+---+---+G\O| L +---+---+---+B/ \_W_\_W_\_W_\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
The next edge in the U layer is the red-green edge. Rotate the entire cube in your hands until the red face is in front, then adjust the U layer until the red-green edge is connected to the green center.
y2 U
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/_R_/ | | | | |\ / / / /G/| +---+---+---+ \ +---+---+---+ /O| R | G | O | O |\ \ | | | |/G/| +---+---+---+B\ | +---+---+---+R/G| | O | O | O |\B\| | | R | B |/G/ +---+---+---+B\ | L +---+---+---+G/ \_W_\_W_\_W_\B\| | R | R | R |/ \_W_\_W_\_W_\B| +---+---+---+ D \_W_\_W_\_W_\| F
We now solve the red-green edge. Note that the red-blue edge is currently in red-green's spot; solving the red-green edge will knock out the red-blue edge, placing it in the U layer.
U' F' U' F U R U R'
____________ B U /___/___/___/| +---+---+---+ /_R_/_Y_/___/ | | | | |\ / / / / /| +---+---+---+ \ +---+---+---+ /O| R | G | O | O |\B\ | | | |/G/| +---+---+---+B\ | +---+---+---+G/G| | O | O | O |\B\| | | R | R |/G/ +---+---+---+B\ | L +---+---+---+G/ \_W_\_W_\_W_\B\| | R | R | R |/ \_W_\_W_\_W_\B| +---+---+---+ D \_W_\_W_\_W_\| F
The previous set of moves not only knocks the red-blue edge out of an incorrect spot, but it leaves the red-blue edge in a perfect position to solve it immediately. Rotate the entire cube in your hands until the blue face is in front, the solve the edge.
y' U R U R' U' F' U' F
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / / / /| +---+---+---+ \ +---+---+---+ /R| R | G | G | O |\ \ | | | |/R/| +---+---+---+G\ | +---+---+---+R/R| | G | G | G |\O\| | B | B | B |/R/ +---+---+---+O\O| L +---+---+---+R/ \_W_\_W_\_W_\O\| | B | B | B |/ \_W_\_W_\_W_\O| +---+---+---+ D \_W_\_W_\_W_\| F
The final edge, the orange-green edge, is in the correct place but flipped incorrectly. We will need to remove the edge, reposition it, and put it back in with the correct orientation.
Rotate the entire cube in your hands until the green face is in front, then remove the edge:
y2 R U R' U' F' U' F
____________ B U /___/_O_/___/| +---+---+---+ /___/_Y_/___/ | | | G | |\ / / / / /| +---+---+---+ \ +---+---+---+ /O| R | B | B | B |\ \ | | | |/O/| +---+---+---+R\ | +---+---+---+ /O| | B | B | B |\R\| | G | G | |/O/ +---+---+---+R\R| L +---+---+---+O/ \_W_\_W_\_W_\R\| | G | G | G |/ \_W_\_W_\_W_\R| +---+---+---+ D \_W_\_W_\_W_\| F
Adjust the U layer so that the orange-green edge is connected to the green face, then solve.
U2 U R U R' U' F' U' F
____________ B U /___/___/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / / / /| +---+---+---+ \ +---+---+---+ /O| R | B | B | B |\ \ | | | |/O/| +---+---+---+R\ | +---+---+---+O/O| | B | B | B |\R\| | G | G | G |/O/ +---+---+---+R\R| L +---+---+---+O/ \_W_\_W_\_W_\R\| | G | G | G |/ \_W_\_W_\_W_\R| +---+---+---+ D \_W_\_W_\_W_\| F
Note that the first two moves (U2 U) rotate the U layer a total of 270 degrees clockwise, which is equivalent to rotating the top layer 90 degrees counterclockwise. They can therefore be substituted with the move U'.
The middle equatorial layer is now solved, as are the white face and the bottom equatorial layer.
---
To clarify our goal, the following rendering blanks out all cubies except the centers, all currently-solved cubies, and the yellow stickers of the four yellow edges.
____________ B U /___/_Y_/___/| +---+---+---+ /___/_Y_/___/ | | | | |\ / / Y / /Y/| +---+---+---+ \ +---+---+---+ /O| R | B | B | B |\Y\ | | | |/O/| +---+---+---+R\ | +---+---+---+O/O| | B | B | B |\R\| | G | G | G |/O/ +---+---+---+R\R| L +---+---+---+O/ \_W_\_W_\_W_\R\| | G | G | G |/ \_W_\_W_\_W_\R| +---+---+---+ D \_W_\_W_\_W_\| F
Two opposite edges in the UR and UL positions are flipped. We solve them as follows:
R' F' U' F U R
____________ B U /___/_Y_/___/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | | |\ / / Y / / /| +---+---+---+ \ +---+---+---+ /O| R | B | B | B |\ \ | | | |/O/| +---+---+---+R\ | +---+---+---+O/O| | B | B | B |\R\| | G | G | G |/O/ +---+---+---+R\R| L +---+---+---+O/ \_W_\_W_\_W_\R\| | G | G | G |/ \_W_\_W_\_W_\R| +---+---+---+ D \_W_\_W_\_W_\| F
The four yellow edges are now oriented correctly, though they are not necessarily solved.
To clarify our goal, the following rendering blanks out all cubies except the centers, all currently-solved cubies, and the yellow edges.
____________ B U /___/_Y_/___/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | G | |\ / / Y / /B/| +---+---+---+ \ +---+---+---+ /O| R | B | B | B |\R\ | | O | |/O/| +---+---+---+R\ | +---+---+---+O/O| | B | B | B |\R\| | G | G | G |/O/ +---+---+---+R\R| L +---+---+---+O/ \_W_\_W_\_W_\R\| | G | G | G |/ \_W_\_W_\_W_\R| +---+---+---+ D \_W_\_W_\_W_\| F
Adjusting the U layer places two edges in their correct positions: yellow-orange and yellow-blue. After doing so, rotate the entire cube in your hands until the orange face is in front; then the unsolved edges are at UB and UL.
U' y
____________ B U /___/_Y_/___/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | G | |\ / / Y / /B/| +---+---+---+ \ +---+---+---+ /B| R | R | R | R |\R\ | | O | |/B/| +---+---+---+G\ | +---+---+---+B/B| | R | R | R |\G\| | O | O | O |/B/ +---+---+---+G\G| L +---+---+---+B/ \_W_\_W_\_W_\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
Swap the two edges:
U F2 U' R' L F2 L' R U' F2
____________ B U /___/_Y_/___/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | R | |\ / / Y / /B/| +---+---+---+ \ +---+---+---+ /B| R | R | R | R |\G\ | | O | |/B/| +---+---+---+G\ | +---+---+---+B/B| | R | R | R |\G\| | O | O | O |/B/ +---+---+---+G\G| L +---+---+---+B/ \_W_\_W_\_W_\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
The yellow edges are now solved, as are the white face, the bottom two equatorial layers, and all the edges of the cube.
---
To clarify our goal, the following rendering blanks out all cubies except the centers, all currently-solved cubies, and the yellow stickers of the yellow corners.
____________ B U /___/_Y_/_Y_/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | R | Y |\ / Y / Y / /B/| +---+---+---+ \ +---+---+---+Y/B| R | R | R | R |\G\ | | O | |/B/| +---+---+---+G\ | +---+---+---+B/B| | R | R | R |\G\| | O | O | O |/B/ +---+---+---+G\G| L +---+---+---+B/ \_W_\_W_\_W_\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
The yellow corner at UFR has a yellow sticker on the R face, so it needs to be oriented correctly.
R' D' R D R' D' R D
____________ B U /___/_Y_/_Y_/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | R | Y |\ / Y / Y / Y /B/| +---+---+---+ \ +---+---+---+ /B| R | R | R | R |\G\ | | O | |/B/| +---+---+---+G\ | +---+---+---+B/W| | B | B | W |\G\| | O | O | W |/R/ +---+---+---+R\G| L +---+---+---+W/ \_R_\_O_\_G_\G\| | O | O | B |/ \_W_\_W_\_W_\G| +---+---+---+ D \_O_\_W_\_W_\| F
Note that the bottom two layers of the cube are now mixed up. They will be fixed when we orient the second corner.
Adjust the U layer to move the second incorrectly-oriented corner to UFR:
U2
____________ B U /_Y_/_Y_/_Y_/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | O | |\ / Y / Y / /G/| +---+---+---+ \ +---+---+---+ /B| R | R | R | R |\B\ | | R | Y |/B/| +---+---+---+G\ | +---+---+---+B/W| | B | B | W |\G\| | O | O | W |/R/ +---+---+---+R\G| L +---+---+---+W/ \_R_\_O_\_G_\G\| | O | O | B |/ \_W_\_W_\_W_\G| +---+---+---+ D \_O_\_W_\_W_\| F
Orient the second corner:
(R' D' R D R' D' R D) x2
____________ B U /_Y_/_Y_/_Y_/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | O | |\ / Y / Y / Y /G/| +---+---+---+ \ +---+---+---+ /B| R | R | R | R |\B\ | | R | |/B/| +---+---+---+G\ | +---+---+---+B/B| | R | R | R |\G\| | O | O | O |/B/ +---+---+---+G\G| L +---+---+---+B/ \_W_\_W_\_W_\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
Adjust the U layer to re-solve the edges.
U2
____________ B U /_Y_/_Y_/_Y_/| +---+---+---+ /_Y_/_Y_/_Y_/ | | | R | |\ / Y / Y / Y /B/| +---+---+---+ \ +---+---+---+ /B| R | R | R | R |\G\ | | O | |/B/| +---+---+---+G\ | +---+---+---+B/B| | R | R | R |\G\| | O | O | O |/B/ +---+---+---+G\G| L +---+---+---+B/ \_W_\_W_\_W_\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
The four yellow corners are now oriented correctly, though they are not necessarily solved.
---
The full state of the cube is as follows:
____________ B U /_Y_/_Y_/_Y_/| +---+---+---+ /_Y_/_Y_/_Y_/B| | R | R | G |\ / Y / Y / Y /B/| +---+---+---+O\ +---+---+---+G/B| R | R | R | R |\G\ | B | O | R |/B/| +---+---+---+G\O| +---+---+---+B/B| | R | R | R |\G\| | O | O | O |/B/ +---+---+---+G\G| L +---+---+---+B/ \_W_\_W_\_W_\G\| | O | O | O |/ \_W_\_W_\_W_\G| +---+---+---+ D \_W_\_W_\_W_\| F
One corner is solved: the yellow-red-blue corner at UBR. Rotate the entire cube in your hands until the blue face is in front; this places the solved corner at UFL. The remaining corners need to be cycled counterclockwise:
y2 R' D' R U R' D R U R' D' R U2 R' D R
____________ B U /_Y_/_Y_/_Y_/| +---+---+---+ /_Y_/_Y_/_Y_/G| | O | O | O |\ / Y / Y / Y /G/| +---+---+---+B\ +---+---+---+G/G| R | O | O | O |\B\ | R | R | R |/G/| +---+---+---+B\B| +---+---+---+G/G| | O | O | O |\B\| | R | R | R |/G/ +---+---+---+B\B| L +---+---+---+G/ \_W_\_W_\_W_\B\| | R | R | R |/ \_W_\_W_\_W_\B| +---+---+---+ D \_W_\_W_\_W_\| F
The cube is now solved.
---
[Last updated: 2023-01-27]