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XNXNXNXN Cube Algorithms PDF 2022 Check Now

XNXNXNXN Cube Algorithms PDF
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XNXNXNXN Cube Algorithms PDF 2022 :- 3X3X3 RUBIK’S CUBE, At the end of this article, we have given the direct download link of XNXNXNXN Cube Algorithms PDF 2022. By clicking on which PDF can be downloaded easily.

Do you know who made the Rubik’s cube? What is the history of the Rubik’s Cube, fun facts? Let’s know some things related to Rubik’s cube.

Rubik Cube’s Inventor :- The Rubik’s Cube was invented by a Hungarian architect. Whose name was Ernő Rubik. Rubik’s cube was invented by Ernő Rubik in 1974. After Ernő Rubik created the Rubik’s Cube, it took more than 1 month to solve it.

After Ernő Rubik created the Rubik’s Cube, it took more than 1 month to solve it. Rubik’s cube is the best selling toy in the world. More than 350 billion Rubik’s cubes have been sold in the world.

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There are 26 small cubes in a Rubik’s cube.

Fun Facts About Rubik’s Cube

  1. A Robot named Sub1 solved the Rubik’s Cube in 0.887 seconds!
  2. The Rubik’s Cube was first introduced in the market in 1974, it was termed as the ‘Magic Cube’ or ‘Bűvös Kocka’ in Hungarian.
  3. The cost of the most expensive Rubik’s cube is $2.5 million US dollars.
  4. The Rubik’s Cube was the best-selling toy in Walmart back in 2015 with over $111 million retail sales!
  5. The largest Rubik’s Cube in the world is 2.022m (6 ft 7 inches) x 2.022m (6 ft 7 inches) x 2.022m (6 ft 7 inches).

Click Here to Download XNXNXNXN Cube Algorithms PDF 2022

XNXNXNXN Cube Algorithms PDF Content

GRAPHS ………………………… v
TABLES …………………………………. vi
FOREWORD ………………………….. vii
ABBREVIATIONS ……………………………….. viii

1. INTRODUCTION …………………………. 1
1 RUBIK’S CUBE…………………………. 2
1.1 Structure ………………………. 2
1.2 Notations …………………….. 4
1.3 Bounds on Rubik’s Cube …………………. 6

3 IMPLEMENTATION AND DESIGN…………. 8
3.1 Overview …………………. 8
3.2 GUI…………………….. 9
3.2.1 Console windows………. 10
3.2.2 SDL windows……………. 10
3.3 Architecture ………………. 11
3.3.1 Diagrams………………………….. 11
3.3.2 Rubik’s Cube class ……………13
3.3.3 Implementation of Rubik’s Cube moves …… 16
3.4 Development platform……………….. 20
3.5 Software requirements…………………. 20
3.5.1 Code Blocks as an IDE……….. 20
3.5.2 OpenGL with SDL…………… 21
3.6 SDL features used in this program………. 22
3.6.1 Video………..23
3.6.2 Timers……………….. 23
3.6.2 Input events ……………… 24

4 ALGORITHM……….. 26
4.1 Permutation…………………………….. 26
4.2 Group Theory……….. 28
4.2.1 Definitions and properties …………………… 28
4.2.2 Special classes of group…………….. 30
4.3 Cycle structure of cube moves …………. 31
4.4 Strategy…………………….. 33
4.5 Design macros ………………. 34
4.5.1 Conjugates……………. 34
4.5.2 Commutators………………………. 35
4.5.3 Essential macros…………… 39
4.6 Beginner method…………… 42
4.7 God’s algorithm ……………. 46
4.8 Unsolvable cubes……………….. 47

5 VALIDATION AND TESTING ………….. 51
5.2 Software………………. 51
5.3.1 Function testing …………………………. 51
5.3.2 GUI testing ……………………. 51
5.3 Algorithm……………. 51
5.2.1 Test design…………… 52
5.2.2 Results…………………… 52

6 CONCLUSION……………….. 54
REFERENCES …………………. 55
APPENDIX 1 ……………… 57

XNXN Cube Algorithms MOVES

XNXNXNXN Cube Algorithms PDF

U: The rotation of up face a quarter-turn clockwise.

D: The rotation of down face a quarter-turn clockwise.

F: The rotation of front face a quarter-turn clockwise.

B: The rotation of back face a quarter-turn clockwise.

L: The rotation of left face a quarter-turn clockwise.

R: The rotation of right face a quarter-turn clockwise.

u: The rotation of up face a quarter-turn counter-clockwise.

d: The rotation of down face a quarter-turn counter-clockwise.

f: The rotation of front face a quarter-turn counter-clockwise.

b: The rotation of back face a quarter-turn counter-clockwise.

l: The rotation of left face a quarter-turn counter-clockwise.

r: The rotation of right face a quarter-turn counter-clockwise.

U2: The rotation of up face 1800 clockwise.

D2: The rotation of down face 1800 clockwise.

F2: The rotation of front face 1800 clockwise.

B2: The rotation of back face 1800 clockwise.

L2: The rotation of left face 1800 clockwise.

R2: The rotation of right face 1800 clockwise.

X: The rotation of the entire cube as if doing an R turn.

Y: The rotation of the entire cube as if doing a U turn.

Z: The rotation of the whole cube as if doing an F turn.

x: The rotation of the whole cube as if doing an r turn.

y: The rotation of the whole cube as if doing a u turn.

z: The rotation of the whole cube as if doing an f turn.

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