How to solve a 5 X 5 Cube.pdf

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DIRECTIONS FOR SOLVING THE 5x5x5 (Professor) CUBE

These instructions can be used to solve a 5x5x5 cube, also known as the professor cube due to its difficulty. These

directions are a graphical version of those given by Jacob Davenport. I would appreciate any and all feedback or

questions about the instructions; please see the end of this page for the e-mail address.

Purchasing Puzzles:If you are having troubles finding stores that sell cubes and similar puzzles, I have a list of on-line sitesthat may have what you're looking for.

My other cube pages

&My directions for Solving the Rubik's Cube (3x3x3)- these also apply to the 2x2x2

See Denny's solutionfor solving the 3x3x3 cube. This is a more detailed solution for the 3x3 than the one I

provide (mirrored from the now missing http://www.calormen.com/vpm/puzzlesolutions/rubikscube/)

See Denny's solutionfor solving the 4x4x4 cube (mirrored from the now missing

http://www.calormen.com/vpm/puzzlesolutions/revenge/)

My directions for Solving the Square 1

My directions for Solving the Pyramix (Pyramid)

As a preview, the steps are:

1.Solve the top points and crosses
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2.Solve the bottom points

3.Solve the remaining points (on the sides)

4.Complete the top and bottom crosses

5.Complete the remaining crosses (on the sides)

6.Associate wings with their appropriate edge pieces

7.Solve the 3x3x3

KEY TO SYMBOLS FOR THE MOVES

The figures in this document represent a sample

cube. Although the colors on your personal cube may

be different than the figures, I feel that the coloredfigures will still be helpful in solving the cube. I would

suggest matching as many colors on your cube as

possible to the figures, then making mental notes

about which colors correspond between your cube

The diagrams show all six sides of the cube by

pretending that mirrorsare being held up so that you

may see the "hidden" sides.

The directions for what parts of the cube to turn and

when are given in a code that is relative to the current

positioningof the cube. Each side descriptor refers to

a side with respect to the figure the move is

referenced to. This means that the front side can be a

different color, depending on the diagram being used.
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See Move 1of my 3x3x3 Rubik's Cube page for

instructive diagrams to illustrate the moves.

The Letters:The side descriptors are:

Ufor the top (Upper) side,

ufor the 2nd layer down from the top (just below the upper side),

Lfor the left hand sidelfor the 2nd layer in from the left hand side

Ffor the front side

ffor the 2nd layer in from the front side

Bfor the back side

Rfor the right hand siderfor the 2nd layer in from the right hand side

Dfor the down (bottom) sidedfor the 2nd layer up from the down (bottom) side, and

Hfor the horizontal center slice (between u and d).

The Numbers:Since the lower case L: l looks like the number 1, a letter by itself means to turn the side clockwise one quarter
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turn. A letter with a 2 following it means to turn the side two turns (halfway around). A letter with an apostrophe

(') means to turn the side counterclockwise one quarter turn (a -1 can be used in place of an apostrophe, but

the apostrophe takes up less space).

For example, U F2f2 D' Llmeans to rotate the upper side clockwise one quarter turn, the front side and2nd layer in from the front side clockwise twice (half way around), the down (bottom) side

counterclockwise one quarter turn, and the left side and second layer in from the left side clockwise one

quarter turn. Look directly at the specified side indicated to determine which direction is clockwise or

counterclockwise.

For the central horizontal slice H, look at the cube through the top sideto determine the clockwisedirection.

The Pieces (see the Key cube above):

The piece in the center of each side is the center piece

Next to each center is a "cross" piece since the cross pieces form a cross or + with the center piece

Diagonally from each center piece are four "point" pieces

Each side of the cube has five pieces along it: Corner, Wing, Edge, Wing, Corner

In the figures, any gray pieces represent pieces that don't matter and can be any color. To increase clarity, I have

shown a lot of colored pieces. In most cases, the figures represent an example of the situation being described,

while the colors don't have to match perfectly.

Step 1: Solve the top points and crosses


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Pick a center piece to represent the

first side of the cube solved (blue inthese figures) and solve the points

and crosses on that side. One crossmay be left empty since it will beused as the "keyhole" later on.

Step 2: Solve the bottom points

Get the four green points on the down (bottom) face in place, using Move 2a and Move 2b as necessary.

2a.To move two points into position:


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Orient the cube as shown in Figure2a, where the two points to bemoved into place are on the right

side of the front face while any

green points already on the downface are on the right side of thedown face, then perform Move 2a.You will need to rotate the front side and

middle horizontal slice as necessary to

place pieces into position.

Move 2a:

R'r' D2 Rr

In words, rotate the Right side and 2nd layer in from the right side counterclockwise one turn, the

down (bottom)side two turns (180 degrees) and the right side and 2nd layer in from the right sideclockwise one quarter turn.

2b.To move 1 point into position:
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Orient the cube as shown in Figure

2b, where the one point to be movedinto place is on the right side of thefront face while any green points

already on the down face are on theright side of the down face, then

perform Move 2b.You will need torotate the front side and middle horizontal

slice as necessary to place pieces into

position.

Move 2b:

R'r' D Rr

Step 3: Solve the remaining 16 points (on the sides)

Solve the remaining 16 points on the four sides. Accomplish this using Dd moves (bottom two layers) along

with F (front side) moves.


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First, position the top 8 points along the 4 sides:

Rotate Dd freely to get Points next to their

centers, then F to put the points up to the

upper layers, yielding Figure 3. Now useMoves 3a and 3b as needed.

3a.If the upper layer already has correctly placed points:


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Move 3a:L2 D'd' L2 Dd

3b.If a face has 3 solved points:


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Move 3b:

Dd F' D'd'

Step 4: Complete the top and bottom crosses

Complete the Blue and Green crosses. Pretend the cube is a 3x3x3, ignoring the outside edges. Insert pieces

into the bottom via the keyhole using Move 4a. During this process, it's all right if the horizontal center pieces

move around.

When the bottom is completed, finish the top using Move 4b to get the last piece into position.


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4a.To insert a piece into the bottom:

Move the piece to the right handside by rotating H (the central,

horizontal slice), then rotate the righthand side, bottom, and top until itlooks like Figure 4a. Now perform

move 4a.

Move 4a:

H' F'f' H Ff

4b.To complete the top (fill in the keyhole):
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Move 4b:

Ff H' F'f' H' Ff H F'f' H

Step 5: Complete the 16 remaining crosses


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First complete the upper cross piece of

each side using H and F moves, giving

the cube in Figure 5.

Now use Move 5a to rotate eight of the equator pieces (swapping between opposite faces) or Move 5b to

rotate between adjacent pieces.

At times you will have the situation of having to swap only two Crosses with each other, rather than doing two

swaps at the same time. Move 5c will succeed in swapping the two pieces.

5a.To exchange the location of eight of the equator pieces (Useful for symmetrically scrambled cubes):


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Move 5a:

F2f2 H F2f2 H'

5b.To swap adjacent pieces (more useful for highly scrambled cubes):


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Move 5b:

H L2l2 H' Ll H' Ll H' L2l2H Ll H Ll

Note: In this move, "Ll" indicates capital L

and lowercase "ell"; thus "Ll" means to

turn both the left hand side and the 2nd

layer in from the left hand side one quarter

turn.

5c.If only two pieces remain to be swapped:


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Move 5c:U'u' R' then Move 5b thenR Uu

Step 6: Associate wings with their appropriate edge pieces

Use Move 6 to join wings with their appropriate edge piece. When doing this move, be sure that the wing

piece at the back of the second row of the left side does not already match it's neighboring edge. If it does,

place a different wing piece on the left side so as to not mess it up.

This process will take quite some time. After you have associated a few of the wings and edges, begin to pay

attention to the movement of the piece from the back-left of the cube to the back-top of the cube, trying to align

the piece with the top back edge


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the piece with the top back edge.

About 50% of the time you will get a "Parity Problem", meaning that you'll have either two or four wings left to

position. Move 6a will not work in this situation, since it moves three pieces. Instead, use Move 6dto fix the

parity problem.

Moves 6b and 6c are other useful moves for orienting pieces during this process

6a.To associate two wings with their appropriate edges (on the left side):

Move 6a:

Ll F' L F L'l' F


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Note.A very similar move performs the mirror image of Move 6a. This move can be used to associate two wingswith their appropriate edges on the right side:

Mirror of Move 6a:

R'r' F R' F' Rr F'


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6b.To move a wing from one side of the back to the other :

Move 6b:

B L' D' B2

Remember, B means the back side and D

means the down side

6c To move a wing up to position it for Move 6a:


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6c.To move a wing up to position it for Move 6a:

Move 6c:

B' R' B L' D' B2 R B

This is B' R' then Move 6b then R B

6d.To fix a Parity Error situation:


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Move 6d:

Rr U2 Rr U2 Rr U2 Rr U2

Rr U2

This is simply Rr U2 five times.

6e.Another parity Error situation occurs when one edge (and one edge alone) has it's two wings flipped, yet theother 11 edges are all solved. This move should fix this (contributed by David Bandel)


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Move 6e:Rr Rr B2 U2 Ll U2 R'r'

U2 Rr U2 F2 Rr F2 L'l'

B2 Rr Rr

Remember, B means the back side

6f.This move will flip 2 wings on the left and one wing on the right. (contributed by Miro Karosu)


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Move 6f:

H F U F'L F' L'

F H'

6g.This move will swap 1 edge on the front top with its opposite edge on the front back. (contributed by Miro

Karosu)

Move 6g:


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Move 6g:

R2r2 B2

R'r' U2

R'r' U2

B2 R'r'B2 Rr

B2 R'r'

B2 R2r2

B2 U2

Remember, B means the back side

6h.This move will swap 1 wing on the top with its opposite wing on the top. (contributed by Miro Karosu)

Move 6h:


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Move 6h:

L'l' U2

L'l' U2

F2 L'l'

F2 RrU2 R'r'

U2 L2l2

Step 7: Solve the 3x3x3


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Use your favorite 3x3x3 solutionto solve the cube, since the edges and wings act like the single edge pieces of the

3x3x3, the corners directly correspond to the corners, and the centers, crosses, and points correspond to the center

pieces of the 3x3x3, as shown in Figure 7.

I hope you have found these directions to be clear and complete, yet concise. If these directions help you to solve the

cube, I would enjoy hearing from you.

Back to my home page.

Standard Disclaimer

Contact info:I appreciate receiving e-mails describing your success with these directions, but I cannot provide anyadditional help in solving the 5x5 cube beyond the instructions and steps shown here. In fact, I have not scrambled

my 5x5 cubes in a long time, due to the effort required to unscramble them. Please also e-mail if you have problems

i i hi
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Last Modified April 19, 2014
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