How To Solve 27 Non-Standard Rubik Variants With Simple Formulas

By Phong Nguyễn Như

The Standard Rubik, invented by Ernö Rubik in 1974, is a intelligent, fun game, that was the world's best-selling game of the twentieth century, and is still in vogue today.
The original Rubik, or 3*3*3 Rubik, is a six-sided, six-color cube, cut by six slices, distributed on three axes of Oxyz coordinate system, yielding 27 (3*3*3) Rubik's pieces.
There are many ways to solve the standard Rubik, this book uses the pRubik procedure to solve it. The pRubik procedure consists of 3 steps, using 9 formulas, each consisting of a number of simple rotation steps. Of these 9 formulas, there are 2 pairs with 4 dual formulas, and 2 similar formulas, so actually only 6 independent formulas, therefore it's easy to remember the procedure.
Non-Standard Rubiks are Rubiks whose structures are not the same as that of the Standard Rubik, so the formulas in the pRubik process cannot be used to solve them.
There are many Non-Standard Variants which are variants in size, in shape, in center of rotation, and in transmission when rotating the Rubik's body. Each of these Non-Standard Variants is solved by a procedure. The procedures for solving different Non-Standard Variants are different.
This book will sequentially demonstrate how to solve 27 Non-Standard Variants including: Rubik 1*2*2, Rubik 1*2*3, Pine, Rubik 1*3*3, Spinner, Rubik 2*2*3, Banana, Rubik 2*3*3, Cylinder, Pyraminx 2*2*2, Mastermorphix 2*2*2, Pyraminx, Coin Pyraminx, Petal Pyraminx, Clover Pyraminx, Duomo Pyraminx, Dino, Ivy, Six Spot, Skewb, Fisher Skewb, Twisty Skewb, Redi, Barrel, Butterfly, Gear Cube, Gear Pyraminx.
The author hopes that readers will have an enjoyable time, reading this book to learn and solve the above Rubiks.

• Language: English
• Publisher: Phong Nguyễn Như
• Release date: Mar 29, 2022
• ISBN: 9781005776077

Phong Nguyễn Như

Nguyen Nhu Phong is a Senior Lecturer at the Industrial Systems Engineering Department, HCM City University of Technology (HCMUT), Vietnam. He is also an IEEE member, and a SAP ERP specialist.He received his Master of Engineering at Asian Institute of Technology (1997), and his Bachelor of Engineering at HCMUT, Vietnam (1987).He was a member of the Project of building ISE program (1999) and the leader of the Project of improving the program (2007-2012). He was the deputy dean of the Faculty of Mechanical Engineering in period of 2002-2007, and the former head of the ISE department in period of 2007-2012.He is the authors of 24 books in Statistics, Operations Research, Scientific Research Methodology, Design of Experiment, Engineering Economy, Production Management, Inventory Management, Quality Management, Lean Production, Lean Six Sigma, MRPII, ERP, Fuzzy Theories & Applications.He is also the authors of 49 papers including 38 conference papers, 7 international conference papers, 4 journal papers, and 120 web papers. His research topics include Soft Computing; Lean Six Sigma; Resource Planning MRPII - ERP.

Book preview

HOW TO SOLVE

27 NON-STANDARD RUBIK VARIANTS

WITH SIMPLE FORMULAS

Phong Nguyen Nhu

2022

LIST OF 27 NON-STANDARD RUBIK VARIANTS

RUBIK SERIES

Other ebooks by the same author in this series include:

1- How to solve 36 variants of the standard Rubik with just 9 simple formulas.

2- How to solve 36 complex variants of the standard Rubik with just 9 simple formulas.

3- How to solve 72 variants of the standard Rubik with just 9 simple formulas. (ebook 1 & 2).

4- How to solve 27 Non-Standard Rubik Variants with simple formulas.

5- How to solve 64 Rubiks with simple formulas. (ebook 1 & 4).

6- How to solve 100 Rubiks with simple formulas. (ebook 3 & 4).

For more information on the above ebooks, please visit:

https://www.smashwords.com/profile/view/nnphong.

FORMULAS FOR SOLVING STANDARD RUBIKS

FORMULAS FOR SOLVING NON-STANDARD VARIANTS

CONTENTS

Preface

Chapter 1: The history of Rubiks

1.1 The father of the Standard Rubik

1.2 Some historical milestones

Chapter 2: The Standard Rubik

2.1 The Rubik's Colors

2.2 The Rubik's Pieces

2.3 The Rubik's Structure

Chapter 3: Solving the Standard Rubik

3.1 The basic Rubik's Rotations

3.2 The pRubik procedure

3.3 Analysis of the pRubik procedure

Chapter 4: Non-Standard Variants

4.1 Non-Standard Size Variants

4.2 Non-Standard Cube Variants

4.3 Pyraminx Variants

4.4 Gear Variants

Chapter 5: Solving Non-Standard Variants

5.1 Solving Non-Standard Size Variants

5.2 Solving Non-Standard Cube Variants

5.3 Solving Pyraminx Variants

5.4 Solving Gear Variants

References

PREFACE

The Standard Rubik, invented by Ernö Rubik in 1974, is an intelligent, fun game, that was the world's best-selling game of the twentieth century, and is still in vogue today.

The original Rubik, or 3*3*3 Rubik, is a six-sided, six-color cube, cut by six slices, distributed on three axes of Oxyz coordinate system, yielding 27 (3*3*3) Rubik's pieces.

There are many ways to solve the standard Rubik, this book uses the pRubik procedure to solve it. The pRubik procedure consists of 3 steps, using 9 formulas, each consisting of a number of simple rotation steps. Of these 9 formulas, there are 2 pairs with 4 dual formulas, and 2 similar formulas, so actually only 6 independent formulas, therefore it's easy to remember the procedure.

Non-Standard Rubiks are Rubiks whose structures are not the same as that of the Standard Rubik, so the formulas in the pRubik process cannot be used to solve them.

There are many Non-Standard Variants which are variants in size, in shape, in center of rotation, and in transmission when rotating the Rubik's body. Each of these Non-Standard Variants is solved by a procedure. The procedures for solving different Non-Standard Variants are different.

This book will sequentially demonstrate how to solve 27 Non-Standard Variants including: Rubik 1*2*2, Rubik 1*2*3, Pine, Rubik 1*3*3, Spinner, Rubik 2*2*3, Banana, Rubik 2*3*3, Cylinder, Pyraminx 2*22, Mastermorphix 2*22, Pyraminx, Coin Pyraminx, Petal Pyraminx, Clover Pyraminx, Duomo Pyraminx, Dino, Ivy, Six Spot, Skewb, Fisher Skewb, Twisty Skewb, Redi, Barrel, Butterfly, Gear Cube, Gear Pyraminx.

The author hopes that readers will have an enjoyable time, reading this book to learn and solve the above Rubiks.

Although the author has spent a lot of time and effort, but the book will probably have many mistakes, the author is looking forward to receiving comments from readers to make the book better and better. Would you please send comments to:

Phong Nguyen Nhu.

Tel: [phone].

Email: nguyenphong.bku@gmail.

Web: www.isem.edu.vn

Sincerely grateful.

CHAPTER 1

THE HISTORY OF RUBIKS

1.1 The father of the Standard Rubik

Ernö Rubik is the father of the Standard Rubik, one of the world's best-selling toys of the twentieth century and it is still in vogue today, with many variants.

Ernö Rubik

According to Wikipedia, Ernõ Rubik was born in Budapest in a family whose father was an aircraft engineer at the Esztergom factory and his mother was a poet. He graduated from University of Budapest (Műszaki Egyetem) in 1967 as an architectural engineer, starting to study sculpture and interior architecture.

1.2 Some milestones of Rubik's history

According to Wikipedia, some notable milestones in Rubik's history are as follows:

From 1971 to 1975, Erño Rubik worked as an architect, then became a professor at Budapest College of Applied Arts (Iparművészeti Főiskola). A teaching tool, called Magic Cube, built to help students understand 3D objects, with the aim of solving the structural problem of moving parts independently without breaking the whole object.

In 1975, Rubik applied for a patent in Hungary for the Magic Cube.

In 1977, the first test batches of the Magic Cube were produced and released in toy stores in Budapest.

In 1979, Tibor Laczi brought a Magic Cube to the Nuremberg Toy Fair in Germany, with permission from Ernő Rubik. The Magic Cube was noticed by Tom Kremer, and they signed an agreement with Ideal Toys to release the Magic Cube worldwide.

In 1980, the Magic Cube was renamed after its inventor, the Rubik's cube, or Rubik for short. Rubik debuted at international toy fairs in London, Paris, Nuremberg and New York, and won the special toy of the year award in Germany, the UK, France and the US.

In 1981, the Rubik's Cube became a craze, and it is estimated that around 200 million Rubik's Cubes were sold worldwide in period from 1980 to 1983.

In 1983, Ernô Rubik founded Studio Rubik, where he designed furniture and games.

In 1990, Ernõ Rubik became president of the Hungarian Technical Academy (Magyar Mérnöki Akadémia). At the academy, he founded the World Cube Association.

CHAPTER 2

THE STANDARD RUBIK

2.1 The Rubik's Colors

A standard Rubik is a cube with 6 faces, one color on each face. The color system of the standard Rubik's cube includes 6 colors:

White, Yellow, Red, Orange, Green, and Blue.

The color distribution for the six faces of a standard Rubik is as follows. The colors on opposite faces include:

White - Yellow, Red - Orange, Green - Blue.

If the white face is placed at the bottom of the cube, the yellow face will be at the top of the Cube.