Hints for Game of Cube

7/31/2019 Hints for Game of Cube

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Hints for game

The easiest way to find a net is to think of a cube as four sides, a top and a bottom. Arrange

four squares in a line. These are the sides. Now put the top square on one side of this line, and

the bottom on the other. It doesn't really matter where on each side, they all work. There are 6

possible arrangements (apart from rotations and reflections). There are other layouts whichwork, but you need to think about them. Arrange three squares around a point. These will form

a vertex (or corner). Arrange another three similarly. These will form the opposite vertex. Now

lay one group alongside the other. There are 3 of these arrangements. The last 2 arrangements

are harder to see. One is two lines of three, staggered. Both rows forms U-shapes, which fit into

each other. The last arrangement is a T-shape, which forms an empty box, and one more square

to make the top.

Net of a cube

and how to

make the cube

Once you have

chosen a net

design, you need

to draw it out.

Here is one of

them as an

example. You can

choose another net

from above. Scale

it up to the sizeyou want, and put

a tab on every

other edge for

gluing it together.

It's certainly

possible to make a

cube from

ordinary paper, but

it will be fragile.

Don't sit on it by

mistake! You canalso use thin card.

How about

recycling

packaging such as

breakfast cereal

packs? Draw out

the design (if you

haven't printed it)

and cut it out

carefully, usingscissors that aren't


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blunt or covered

with glue. Before

gluing, it is

important to fold

the design, and it's

easier to do this ifyou score the lines

first. Use a ball-

point pen to go

over all lines in the

design, including

the tabs. The ball-

point pen will

make a mark so if

you can find a ball

point pen that

doesn't work, thatwill be perfect.

Press quite heavily

with the point of

the pen, but don't

tear the paper.

Now fold the

paper to make

right angles, and

you will see the

cube start to

appear. It doesn't

matter which way

you fold the

design. Once you

have scored the

edges with the

ball-point pen, you

will find it easy to

fold it either way.

Use small dabs of

glue to stick it, orit will end up very

messy.

Solving the Topo 1

Choose a color to work with. You can choose whichever color you'd like.

o 2


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Form a cross in the center of the side you are working with. Each edge of the

cross should align with the adjacent sides. For example, if you are working with

the orange face, the piece of the cross adjacent to the yellow side of the cube

should be the orange/yellow piece.

o 3

Twist the faces of the cube to correctly place the corner pieces. When you are

finished, the top face should be completely solved.

Solving the middle layero 1

Align the top layer of the cube with the sides. The top three pieces on each side

should match the color of the center piece. For example, if your top is orange,

the top layer of the yellow side should be yellow. You may need to twist the top

face to move these pieces to the correct side of the cube.

o 2

Twist the bottom layer of the cube in order to form a T of a common color on

one side of the cube. Turn the entire cube so that this side faces front. Examine

the bottom of the cube. The piece you just moved into the T either belongs on

the left side or right side of the cube.

o 3

If the piece belongs on the left side of the cube, use the following algorithm to

move it. (Each step in the algorithm requires you to turn the face indicated one

turn in the direction indicated.)

Bottom Clockwise, Left Clockwise, Bottom Counter-clockwise, Left Counter-

Clockwise, Bottom Counter-Clockwise, Front Counter-Clockwise, Bottom

Clockwise, Front Clockwise.

o 4

If the piece belongs on the right side of the cube, use the following algorithm tomove it:

Bottom Counter-Clockwise, Front Counter-Clockwise, Bottom Clockwise,

Front Clockwise, Bottom Clockwise, Left Clockwise, Bottom Counter-

Clockwise, Left Counter-Clockwise.

o 5

Repeat step 2 and step 3 or 4 until the middle layer of the cube is completely

solved.

Orienting the last layer edges


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o 1

Flip the cube over so that the bottom face is now on top. Several pieces on the

bottom may match the bottom cube color. These pieces form either a cross, a

short L shape, or a line.

o 2

Perform an algorithm to form the cross unless it is already formed. If the cross

is formed, move on to the next step.

o 3

If the pieces form an L, orient the cube so that one end of the L is on the top

layer of the face and the other is on the left of the middle layer. Perform the

following algorithm to change the L into a cross:

Front Clockwise, Top Clockwise, Right Clockwise, Top Counter-Clockwise,

Right Counter-Clockwise, Front Counter-Clockwise.

o 4

If the pieces form a line, orient the cube so that the line is horizontal. Perform

the following algorithm:

Front Clockwise, Right Clockwise, Top Clockwise, Right Counter-Clockwise,

Top Counter-Clockwise, Front Counter-Clockwise

o 5

If there are no pieces of the correct color on the cube bottom other than the

center piece, perform either algorithm. Recheck the bottom for one of the

shapes and perform the correct algorithm.

Permuting the bottom cornerso 1

Examine your cube. Two corners of the cube should be in the correct place,although they will not necessarily be of the correct orientation. For example, if

the bottom of the cube is red you may have a red-green cube and red-yellow

cube in the correct places, but the green piece may be on the red face instead of

the green piece.

If you cannot locate two corners that are correct, twist the cube bottom and

recheck the cube.

o 2


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Orient the cube so that the two incorrectly placed pieces are on the right side of

the bottom. If the incorrect pieces are diagonal to each other, orient the cube so

that one of the pieces is on the top right of the bottom.

o 3

Orient the cube so that the bottom face is on top and perform the following

algorithm:

Left Clockwise, Top Counter-Clockwise, Right Counter-Clockwise, Top

Clockwise, Left Counter-Clockwise, Top Counter-Clockwise, Right Clockwise,

Top Clockwise, Top Clockwise

If the correct pieces were diagonal to each other, you will have to perform this

step twice.

Orienting the bottom cornerso 1

Examine your cube. All four corners should be in the correct place, although not

necessarily correctly oriented. At least one corner should be completely correct.

Check whether the corners that are not oriented correctly must be twisted

clockwise or counter-clockwise to be correct.

o 2

Orient the cube for solving the corners. The bottom face (the face you areworking on) should be on the top of the cube.

If one corner is correct and the other corners must be twisted clockwise, orient

the cube so that the correct corner is in the lower left position. If one corner is

correct and the other corners must be twisted counter-clockwise, orient the cube

so that the correct corner is in the upper left position. If two adjacent corners are

correct, orient the cube so that the two correct corners are in the upper left and

right positions. If two diagonal corners are correct, orient the cube so that the

correct corners are in the upper right and lower left positions.

o 3

If three corners need to be twisted counter-clockwise, two diagonal corners are

correct, or no corners are oriented correctly, perform the following algorithm:

Right Counter-Clockwise, Top Counter-Clockwise, Right Clockwise, Top

Counter-Clockwise, Right Counter-Clockwise, Top Clockwise, Top Clockwise,

Right Clockwise, Top Clockwise, Top Clockwise

o 4

If three corners need to be twisted clockwise or two adjacent corners arecorrectly oriented, perform the following algorithm:


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Right Clockwise, Top Clockwise, Right Counter-Clockwise, Top Clockwise,

Right Clockwise, Top Clockwise, Top Clockwise, Right Counter-Clockwise,

Top Clockwise, Top Clockwise.

o 5

Examine your cube after performing the correct algorithm. If all four corners are

not correctly oriented, repeat step 3 or 4. (The correct step to repeat depends

upon the pattern of the incorrect pieces). Keep repeating these algorithms until

all four corners are correctly oriented.

Permuting the bottom edgeso 1

Check the bottom of the cube. There are four possible patterns. One is that

everything is in place, in which case the cube is solved. If not, 3-4 pieces of the

cross on the bottom will be in the wrong place. The top, bottom and left edges,top, bottom, and right edges, or all four edges of the cross may be out of place.

Orient the cube so that the bottom face is on top.

o 2

If the top, bottom, and right edges of the cross are misplaced, orient the cube so

that the the wrong piece on the bottom belongs on the top, the wrong piece on

top belongs on the right, and the wrong piece on the right belongs on the

bottom. Perform the following algorithm:

Right Clockwise, Right Clockwise, Top Clockwise, Front Clockwise, Back

Counter-Clockwise, Right Clockwise, Right Clockwise, Front Counter-

Clockwise, Back Clockwise, Top Clockwise, Right Clockwise, Right Clockwise

The cube will be solved after you perform this algorithm.

o 3

If the top, bottom, and left edges of the cube are misplaced, orient the cube so

that the misplaced top piece belongs on the bottom, the bottom piece belongs on

the right, and the right piece belongs on top. Perform the following algorithm tosolve the cube:

Right Clockwise, Right Clockwise, Top Counter-Clockwise, Front Clockwise,

Back Counter-Clockwise, Right Clockwise, Right Clockwise, Front Counter-

Clockwise, Back Clockwise, Top Counter-Clockwise, Right Clockwise, Right

Clockwise

o 4

If all four edge pieces are in the wrong place, perform either algorithm. After

you have performed it, re-examine the cube. Either 3 or 4 of the pieces will be


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misplaced as in Step 1. Perform the appropriate algorithm from Step 3 or 4 to

solve the cube.

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Hints for Game of Cube