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56.34

5

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5

56.340

5

11.268

06

5

13

10

34

30

40

40

0

An algorithm is a set of rules or steps that we use to solve math problems.

WHAT IS AN ALGORITHM?

Repeating the pattern or algorithm as many times as needed is similar to repeating the steps to solve a long division problem with decimals.

In this long division problem, every number was divided by the divisor (5) and the next number in the dividend (56.34) was brought down to make a new dividend.

For example, when solving for the WHITE Corners, every bottom corner starts the same way. The algorithm

is used to place the corner in the correct place. With the next corner, the same algorithm is used to place that corner correctly.

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In 1974, a young Professor of architecture in Budapest (Hungary) named Erno Rubik created an object to help him explain to his students about spatial relationships.

His solid cube twisted and turned - and still it did not break or fall apart. With colorful stickers on its sides, the Cube got scrambled and thus emerged the first “Rubik’s Cube”. It took well over a month for Erno to work out the solution to his puzzle. Little did he expect that Rubik’s Cube would become the world’s best-selling toy ever!

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�To complete this task, you will need self-motivation, a desire for personal achievement, the�ability to think outside the box, or in this case, the cube.

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1. Practice - “Practice makes perfect”, so the saying goes, and so it truly is. You have to practice over and over again till you succeed.

2. Learn the Process –When we skip the process, then we are heading towards failure. If you are just shown how to solve a Rubik’s Cube the first time, you still will not be able to solve it unless you understand the process and algorithms involved in the solution.

3. Never Give Up-

Never Give Up:- Never give up on your dream no matter the situation, no matter the number of times you fail. Your ability to get up and dust yourself up, then move on is what determines if you are a success or a failure. Giving up when you fail is not an option.

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1�EXPERIMENT

Play with your cube and get familiar with it. Try to solve the white face without reading tutorials.

2�NOTATION

Learn the letters which are used to mark the rotations of the six faces and describe the algorithms.

3�THE SOLUTION

We divide the Rubik's Cube into layers and solve each group not messing up the solved pieces. It's hard not to break the solved pieces while fixing new ones. We need to use algorithms in each step which don't break the solved layers.

4�PRACTICE

Practice the moves, memorize the algorithms until you can solve the Rubik's Cube without help.

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“If you are curious, you’ll find the puzzles around you. If you are determined, you will solve them. ”

Erno Rubik

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Meet the Cube

  • Cube – Three-Dimensional
  • RED, YELLOW, BLUE,

GREEN, WHITE, ORANGE

  • 3 units long; 3 units wide

Which colors are opposite each other?

This will always be true. The center piece of each face will always be the center piece for that color. It does not move.

RED is opposite ORANGE

WHITE is opposite YELLOW

BLUE is opposite GREEN

What is the difference between layers and faces?

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2.

3.?

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Left layer

of the Cube

LEFT Face

of the Cube

Right layer

of the Cube

RIGHT Face

of the Cube

Front layer

of the Cube

FRONT Face

of the Cube

Bottom layer

of the Cube

DOWN Face

of the Cube

Top layer

of the Cube

UP Face

of the Cube

Back layer

of the Cube

BACK Face

of the Cube

The flat (two-dimensional) square, on each surface of the cube. There are six (6) faces on the cube, each with a directional name.

FACES

  • “Layers” are three-dimensional (Length, width and height).
  • “Faces” refers to the flat area of a “layer”. Faces are two-dimensional (length and width).

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BLUE Face

WHITE Face

ORANGE Face

Pieces with one color. There are six (6) center pieces, one in the center of each face. Center pieces DO NOT MOVE. They represent the color of their face.

CENTER

Pieces

How many center pieces are there? What is special about center pieces? What do they represent?

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YELLOW/RED Edge

Red/WHITE Edge

Pieces with two (2) colors. There are twelve (12) edge pieces located in the middle rows.

���EDGE

Pieces

What are edge pieces? How many are there? Where are they located?

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GREEN/ORANGE/YELLOW Corner

Pieces with three (3) colors. There are eight (8) corner pieces located on the corners.

���CORNER

Pieces

What are corner pieces? How many are there? Where are they located?

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RIGHT Face Move

To “undo” a “R” ¼ turn,

make a “Ri” ¼ turn.

  • Inverted means opposite.
  • By inverting a move, the move can be undone.

To “undo” a “L” ¼ turn,

make a “Li” ¼ turn.

LEFT Face Move

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UP Face Move

To “undo” a

U” ¼ turn,

make a “Ui” ¼ turn.

  • Inverted means opposite.
  • By inverting a move,

the move can be undone.

DOWN Face Move

To “undo” a

D” ¼ turn,

make a “Di” ¼ turn.

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FRONT Face Move

To “undo” a

F” ¼ turn,

make a “Fi” ¼ turn.

  • Inverted means opposite.
  • By inverting a move,

the move can be undone.

To “undo” a

B” ¼ turn,

make a “Bi” ¼ turn.

BACK Face Move

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¼ Turns

  • Inverted means opposite.
  • By inverting a move,

the move can be undone.

R

Ri

L

Li

D

Di

U

Ui

B

Bi

F

Fi

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TOO MANY CASES

There are so many possible configurations (over 43 quintillion) that it would be impossible to solve it by randomly turning the faces until it's all done.

If you made a single turn of one of the Rubik’s Cube faces every second, how many years would it take to go through all the possibilities?

Answer: 1.4 Trillion Years

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SCRAMBLED CUBE

25 Random ¼ Turns

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“If you are curious, you’ll find the puzzles around you. If you are determined, you will solve them. ”

Erno Rubik

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Position the WHITE corner on the bottom layer underneath its intended position.

• Use the algorithm as many times as needed until the corner is in the correct

position.

• Repeat the steps for each corner until all four corners are in the correct positions.

The algorithm "Ri",

"Di", "R", "D" is

used to place the corner in

the correct place.

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If the WHITE, WHITE pattern is not complete, make sure the pattern you are trying to change is on the RIGHT face, then:

      • Make a “Ri” ¼ turn
      • Make a “U” ¼ turn
      • Make a Fi ¼ turn
      • Make a “Ui” ¼ turn