## Dec 29, 2011

1. ### Group Theory for puzzles

www.jaapsch.net/puzzles/groups.htm
Group Theory for puzzles. On this page I will give much more detail on what groups are, filling in many details that are skimmed over on the Useful Mathematics ...
2. ### Useful Mathematics

www.jaapsch.net/puzzles/theory.htm
Along the way we will see how this theory can be used to find a solution to the Rubik's.... Generally permutation groups occurring in puzzles are not Abelian. ...
3. [PDF]

### Group Theory and Puzzles

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20 Oct 2009 – Some puzzles as seen from a group theorists eye. • Solitaire (Brain Vita) - Rules of the game match the group law of V4 (Klein's 4-group). ...
4. ### Learning Permutation Group Theory via Puzzles

Learning Permutation Group Theory via Puzzles. John O. Kiltinen. Northern Michigan University · kiltinen@nmu.edu. Abstract of article: This article describes the ...
5. ### Group Theory & Rubik's Cube

This course is an introduction to group theory using various puzzles as examples to make the subject more accessible and concrete. The level will depend on ...
6. [PDF]

### A Modern Treatment of the 15 Puzzle

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by AF Archer - Cited by 37 - Related articles
first lesson in the theory of determinants. [13, p. 404]. The puzzle is a popular topic for books on recreational mathematics or mathemati- cal potpourri, such as [I], ...
7. ### Why is group theory important?

Broadly speaking, group theory is the study of symmetry. .... On the lighter side, there are applications of group theory to puzzles, such as the 15-puzzle and ...
8. ### Group Theory for Sam Loyd's Fifteen Puzzle

Group Theory for Sam Loyd's Fifteen Puzzle and its variants on the cylinder and the Moebius strip.
9. ### Sam Loyd's Fifteen - Interactive Mathematics Miscellany and Puzzles

The puzzle's theory says that there are two groups of starting configurations. Configurations in the first could eventually be solved whereas configurations in the ...
10. ### group theory - Two seemingly unrelated puzzles have very similar ...

math.stackexchange.com/.../two-seemingly-unrelated-puzzles-have-v...
21 Dec 2010 – I think it's an interesting coincidence that the locker puzzle and thispuzzle about duplicate array entries (see problem 6b) have such similar ...
11. ### Mathematical games

It is really a group theory puzzle, although not many people realise this. The cube consists of 3 × 3 × 3 smaller cubes which, in the initial configuration, are ...
12. ### Amazon.com: Adventures in Group Theory: Rubik's Cube, Merlin's ...

"Why," asks the author, "should two such different topics, mechanical puzzles and abstract group theory, be related? This book takes the reader on an intellectual ...
13. ### Amazon.com: Groups & group theory Puzzles & Game Books

www.amazon.com/s?...Groups%20%26%20group%20theory...
Results 1 - 12 of 132 – The Skeptic's Guide to Conspiracies: From the Knights Templar to the JFK Assassination: Uncovering the [Real] Truth Behind the World's ...
14. ### Amazon.com: Mathematics / Group Theory Puzzles & Game Books

8 Results – The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History (Spectrum) by ...
15. [PDF]

### Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and ...

maths.dur.ac.uk/~dma0jf/JoynerRubikbook.pdf
by D Joyner - Cited by 1 - Related articles
9 May 2011 – This book will develop the basics of group theory and creategroup-theoretical models of Rubik's Cube-like puzzles. On the practical side, I also ...
16. ### Puzzle Theory

20 posts - 15 authors - Last post: 23 Nov
Non-speed related puzzle discussion goes here: Group theory, mathematics, fewest moves and similar are discussed in "Puzzle Theory".
17. ### I'm writing a group theory essay.

10 posts - 9 authors
So, my choice of topic is group theory and it's applications in puzzles - e.g. rubik's cube. My question is, can anyone recommend any particularly interesting ...
18. ### Group Theory: It's not scary!

5 posts - 5 authors - Last post: 9 Jun
An Introduction to Group Theory and the Rubik's Cube (PDF) The examples toward the end. ... SpeedSolving.com Puzzle Forum. Help ...
19. ### Mathematics of Sudoku - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Mathematics_of_Sudoku
Puzzle analysis centers on the initial given values. The techniques used in either are largely the same: combinatorics and permutation group theory, augmented ...
20. ### Sudoku Theory

Sudoku Puzzle Theory. Sudoku is all about permutations, but permutations with an extra twist of logic. To look into the theory behind Sudoku you need to first ...
21. ### Adventures in group theory: Rubik's ... - David Joyner - Google Books

"Why," asks the author, "should two such different topics, mechanical puzzles and abstract group theory, be related? This book takes the reader on an intellectual ...
22. ### Adventures in group theory: Rubik's cube, Merlin's machine, and ... - Google Books Result

books.google.com.sg/books?isbn=0801890136...David Joyner - 2008 - Mathematics - 310 pages
This book will develop the basics of group theory and create group-theoretical models of Rubik's Cube-like puzzles. On the practical side, I also discuss the ...
23. [PDF]

### Group theory for Maths, Physics and Chemistry students

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by A Cohen - 2007 - Related articles
2.3 Loyd's puzzle . .... Group theory was inspired by these types of group. ..... around the plastic squares; for readers unfamiliar with the puzzle a possible ...
24. ### Rubik's Cube Inspired Puzzles Demonstrate Math's "Simple Groups ...

23 Jun 2008 – A new set of puzzles inspired by Rubik's Cube offers puzzle lovers the chance ... Basing their work on the mathematical theory of groups so well ...
25. ### Notes on Twisty Puzzles: Group Theory

michael-gottlieb.blogspot.com/2008/04/group-theory.html
Group theory is a branch of theoretical mathematics that can be used to describe the way the functioning of the Rubik's Cube and various related puzzles. ...
26. ### Group theory in games - Groupprops

groupprops.subwiki.org/wiki/Group_theory_in_games
5 Aug 2011 – Group theory in games ... This is a survey article related to:group ... The fifteen puzzle is a game involving fifteen pieces labeled 1-15 on a ...
27. ### Amazon.ca: Group Theory - Puzzles & Games / Entertainment: Books

www.amazon.ca/group-theory-Puzzles.../s?...Group%20Theory...
Results 1 - 12 of 84 – Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys by David Joyner (Paperback - Dec 1 2008) ...
28. ### Amazon.ca: Groups & group theory - Puzzles & Games / Entertainment ...

www.amazon.ca/groups-group-theory-Puzzles.../s?...
Results 1 - 12 of 83 – Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys by David Joyner (Paperback - Jun 6 2002) ...
29. ### Amazon.ca: Mathematics / Group Theory - Puzzles & Games ...

www.amazon.ca/...group-theory-Puzzles.../s?...
8 Results – Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys by David Joyner (Paperback - Dec 1 2008) ...
30. [PDF]

### THE 15-PUZZLE (AND RUBIK'S CUBE) 1. Introduction This handout ...

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by K CONRAD - Cited by 1 - Related articles
Our analysis of the 15-puzzle will be complete, but we will only be able to sketch some basic ideas behind the group theory of Rubik's Cube. 2. The 15-puzzle ...
31. ### Amazon.co.uk: Mathematics / Group Theory Puzzles & Quizzes

www.amazon.co.uk/...group-theory-Puzzles.../s?...
8 Results – The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History: Proceedings of ...
32. ### Amazon.co.uk: Group theory Puzzles & Quizzes

www.amazon.co.uk/group-theory-Puzzles.../s?...Group%20theory...
Results 1 - 12 of 68 – The International Simulation and Gaming Research Yearbook: Simulations and Games for Transition and Change v.8: Simulations and Games ...
33. ### Rubik's Rubrics » American Scientist

by D Singmaster
Other chapters touch on such topics as bell ringing (an excuse to discuss permutations); the basics of group theory; "binary button puzzles" (arrays of buttons...
34. [PDF]

### Enumerating Small Sudoku Puzzles in a First Abstract Algebra Course

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by C Lorch - Cited by 3 - Related articles
sudoku puzzles using elementary group theory, and we indicate how this topic can be incorporated into an introductory abstract algebra course. Students ...
35. ### Puzzles, Groups, and Groupoids « The Everything Seminar

cornellmath.wordpress.com/2008/01/.../puzzles-groups-and-groupoi...
27 Jan 2008 – Why the Rubik's Cube is a finite group,; Why the fifteen puzzle is a finite... Most undergraduate math majors take a course in group theory, but ...
36. [PDF]

### Solving Puzzles with Group Theory

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Solving Puzzles with Group Theory. Alex Eustis and Natalie Hudson. 7 November 2003. Rubik's Cube is a cube-shaped puzzle that (from the outside) appears to ...
37. ### Group Theory and Rubik's Cube - wiki/definitions

206.192.68.20/courses/fall2011/rubik/wiki/definitions
15+ items – Group Theory and. Rubik's Cube. Fall 2011. course ...
 1-to-1 A map from {x}->{y} in which every x is sent to a different y, i.e ... boring A group G is called "boring" if it isn't particularly related to any ...
38. ### Game Theory Group

Game Theory's mission is to improve client performance through our best in class talent management practice. Game Theory's unique approach begins with the ...
39. ### Rubik's Cube Solutions plus Puzzles and 8-Balls

Rubik's Cube Solutions plus Puzzles and 8-Balls. Contents: Introduction #intro. Cube Links #links. Basic Cube Group Theory #basiccubetheory. Rubik's Cube ...
40. ### THEORY | GROUPS & GROUPWORK

youthworkcentral.tripod.com/sean3.htm
In this essay we will examine how certain theories of group work and group dynamics may be applied within a youth work setting. We will first briefly describe ...
41. ### Oval track and other permutation puzzles - Google Books

books.google.com › Mathematics  Probability & Statistics  General
Popular puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to the theory of permutation groups. They are ...
42. ### Oval Track and Other Permutation Puzzles: And Just Enough Group ...

search.barnesandnoble.com/Oval...and...Puzzles/.../9780883857250
Oval Track & Other Permutation Puzzles can be used as a supplement in courses in abstract algebra, group theory, and discrete mathematics. ...
43. ### Oval Track and Other Permutation Puzzles: And Just Enough Group ...

Popular puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to the theory of permutation groups. ...
44. [PDF]

### The Mathematics of the Rubik's Cube

web.mit.edu/sp.268/www/rubik.pdf
File Format: PDF/Adobe Acrobat - Quick View
Introduction to Group Theory and Permutation Puzzles. March 17, 2009. Introduction. Almost everyone has tried to solve a Rubik's cube. The first attempt often ...
45. ### The Mathematical Tourist: Oval Track Puzzles

mathtourist.blogspot.com/2011/10/oval-track-puzzles.html
27 Oct 2011 – In the book Oval Track and Other Permutation Puzzles—And Just Enough Group Theory to Solve Them (MAA, 2003), John O. Kiltinen ...
46. ### Periodical plane puzzles with numbers

arxiv.org › math
by J Rezende - 2011 - Related articles
6 Jun 2011 – Title: Periodical plane puzzles with numbers ... These puzzles are a tool in teaching and learning mathematics. ... HO); Group Theory (math.GR) ...
47. [PDF]

### Adventures in Group Theory - David Joyner, wdjoyner.com

wdjoyner.com/writing/2nd-edition/agt2.pdf
by D Joyner - Cited by 1 - Related articles
CONTENTS. In this book, we'll develop the basics of group theory and create group- theoretical models of Rubik's Cube-like puzzles. On the practical side, we ...
48. ### Oval Track and Other Permutation Puzzles: And Just Enough Group Theory

Buy low price Oval Track and Other Permutation Puzzles: And Just Enough Group Theory to Solve Them . buy best Oval Track and Other Permutation Puzzles: And ...
49. [PDF]

### Group Theory via Rubik's Cube

geometer.org/rubik/group.pdf
File Format: PDF/Adobe Acrobat - Quick View
in addition to being a fiendishly difficult puzzle, Rubik's cube provides many concrete examples of groups and of applications of group theory. ...
50. ### TwistyPuzzles.com > Museum > Adventures in Group Theory

www.twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=1471
Over 1700 puzzles, 2000 worldwide members, and 240000 messages. ... Adventures inGroup Theory. Browse All Puzzle Related: Books · Search Museum ...
51. ### Adventures in Group Theory: Rubik's Cube, Merlin's ... - Upload PDF

pdfcast.org/paid/9780801890130
... edition of David Joyner's entertaining "hands-on" tour of group theory and abstract... Joyner uses permutation puzzles such as the Rubik's Cube and its ...
52. ### The Magic Cube

Short article about the Twentieth Century's Most Amazing Puzzle. ... just two faces requires a good grasp of group theory and its relation to finite geometry. ...
53. ### Product Listing

Results 1 - 10 – Mathematical games and puzzles. 20 reprints from Gardner's Scientific American column. Some topics are: group theory and braids, games and ...
54. ### Adventures in Group Theory - Blackwell's Bookshop Online

bookshop.blackwell.co.uk/jsp/display_product_info.jsp?isbn...
1 Oct 2008 – Uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This book employs permutation puzzles, ...
55. ### Cool problems to impress students with group theory - MathOverflow

mathoverflow.net/.../cool-problems-to-impress-students-with-group-t...
Here's the first "group theory" problem I ever saw (before I knew anything about groups). ... This problem - the Fifteen puzzle - is one of my all-time favourites. ...
56. ### Group theory and Rubik's cube [Archive] - Physics Forums

6 posts - 3 authors - Last post: 19 Jul
[Archive] Group theory and Rubik's cube Linear & Abstract Algebra. ... go about using GT to devise (more) efficient solutions to such a puzzle? ...
57. ### Game Theory Research Group

Game Theory Group · Conferences. Home. Meetings. Personnel. Publications. Presentations. Tutorials. Research. Simulations ...
58. ### Group Theory: Puzzle of the Day

www.weddslist.com/groups/puzzles/pindex.php
Show that if a group has any elements of order 2, it has an odd number of them. Some of these puzzles are much more difficult than others. ...
59. ### Michael Hartley's Maths Page

The original group theory puzzles are available here. Games and Puzzles for kids at Dr Mike's Math Games for Kids! The UWA Maths Department Home Page. ...
60. ### Oval Track And Other Permutation Puzzles And Just Enough Group Theory

shopping.yahoo.com/...oval...puzzles-and...group-theory.../prices
Yahoo! Shopping is the best place to comparison shop for Oval Track And Other Permutation Puzzles And Just Enough Group Theory To Solve Them.
61. ### Adventures in Group Theory by David Joyner book (9780801890130 ...

www.boomerangbooks.com.au/...Group-Theory/.../book_97808018...
"Adventures in Group Theory is a tour through the algebra of several 'permutationpuzzles'... If you like puzzles, this is a somewhat fun book. ...
62. ### Adventures in Group Theory: Rubik's Cube, Merlin's ... - LibraryThing

8 Nov 2010 – "Why," asks the author, "should two such different topics, mechanicalpuzzles and abstract group theory, be related? ...
63. [PDF]

### Gis for... GROUP THEORY

File Format: PDF/Adobe Acrobat - Quick View
Every generation of advanced math students must tackle group theory ... But fear not,puzzle solver! Your shrewdness as a sleuth has probably allowed you to ...
64. ### UMD Honors - Current Students - Honors 100

universityhonors.umd.edu/219O1108.php
Sliding block puzzles - Group theory and symmetry groups. • Tic tac toe - Permutations and combinations, probability. • Nim - Game theory, combinatorics. ...
65. ### Theory Matching Puzzle

www.hypatiamaze.org/puzzle/p_theory.html
Karen Horney . . . . j. theory of combustion 11. Elizabeth Kenny . . . . k. pulsars 12. Marie Curie . . . . l. group theory 13. ...

1 Oct 2008 – Adventures in Group Theory is a tour through the algebra of several 'permutation puzzles'... If you like puzzles, this is a somewhat fun ...
67. ### Oval Track and Other Permutation Puzzles: And Just Enough Group ...

23 Oct 2003 – Popular puzzles such as the Rubik's cube and so-called oval trackpuzzles give a concrete representation to the theory of permutation groups ...
68. ### Puzzle it out: cubes, groups and puzzles - John Ewing, Czes ...

CUP Archive, Feb 26, 1982 - Games - 64 pages. Explains the mathematical theory ofgroups and how it can be used to solve Rubik's Cube and similar puzzles ...
69. ### Adventures in Group Theory: Rubik's Cube ... - superbookshop.net (en)

Adventures in Group Theory: Rubik's Cube, Merlin's Machine, ... Joyner uses permutation puzzles such as the Rubik's Cube and its variants, the 15 puzzle, ...
70. ### Group theory via Rubiks Cube - Games » Puzzles » Mechanical ...

Internet Directory｜ZhuaDongXi [Web Pages] - Group theory via Rubiks Cube: Maple has a group theory package which may be used to generate and manipulate ...
71. ### Center (Group Theory) Videos - Mitra Videos :: Video Resources On ...

videos.mitrasites.com/center-(group-theory).html
22 Sep 2011 – List of videos about center (group theory) collected from many resources ... Video Title: Centre of Mass Puzzle. Length: 7:01:57. View: 109 ...
72. [DOC]

### Liz Hatfield, Spring 2007 (Word format). - Morris - University of ...

File Format: Microsoft Word - Quick View
by L Hatfield - Related articles
There has been a lot of work on the mathematics related to these puzzles in recent years. Adventures in Group Theory, by David Joyner, explores both ...
73. ### joyner david - adventures in group theory rubik's cube merlin's ...

Results 1 - 29 – Uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This book employs permutation puzzles, ...
74. ### Adventures In Group Theory, David Joyner, Books - kalahari.co.ke

Uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This book employs permutation puzzles such as the 15 puzzle, ...
75. ### Adventures in group theory: Rubik's cube, Merlin's machine, and - Logo

"Adventures in Group Theory is a tour through the algebra of several 'permutationpuzzles'... If you like puzzles, this is a somewhat fun book. ...
76. ### Adventures in Group Theory, David Joyner - Shop ... - Fishpond.com.sg

www.fishpond.com.sg/Books/...Group-Theory.../9780801890130
David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun.Joyner employs permutation puzzles, ...
77. ### SFU Math302 - Mathematics of Permutation Puzzles

In this course we will investigate Rubik's cube, the 15-puzzle, TopSpin, and other ...Math majors are encouraged to take Math341: Algebra III Group Theory ...
78. ### Group Theory and Rubik's Cube

As it turns out, the Cube is more than just a fascinating puzzle, it is an exploration of symmetry and group theory and there is a mathematical explanation for the ...
79. ### Oval Track and Other Permutation Puzzles and Just Enough Group Theory

BOOKS KINOKUNIYA : Oval Track and Other Permutation Puzzles and Just EnoughGroup Theory to Solve Them (PAP/CDR), Kiltinen, John O.
80. ### Rubik's Cube History - Invention of the Rubik's Cube

4 Dec 2006 – The text develops the basics of group theory and createsgroup-theoretical models of Rubik's Cube-like puzzles. Earlier chapters will be ...
81. ### TimeForChess.com : Posers and Puzzles : Group Theory Question

11 Jan 2008 – Optional Hint: try classifying all non-abelian groups of order 117. But that's quite advanced, so really it's a pointless hint. ...
82. ### 15 Puzzle -- from Wolfram MathWorld

mathworld.wolfram.com › Recreational Mathematics  Puzzles
21 Dec 2011 – The "15 puzzle" is a sliding square puzzle commonly (but incorrectly) attributed to Sam ... This can be formally proved using alternating groups. ...
83. ### Adventures in Group Theory: Rubik's Cube, Merlin's ... - The Nile

www.thenile.com.au/books/...in-Group-Theory.../9780801890130/
Uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This book employs permutation puzzles, such as the 15 puzzle, ...
84. ### Adventures in Group Theory- Rubik's Cube, Merlin's Machine, | Free ...

6 Jun 2010 – Download Adventures in Group Theory- Rubik's Cube, Merlin's Machine,... Joyner uses permutation puzzles such as the Rubik's Cube and its ...
85. [PDF]

### Combinatorial and Geometric Group Theory

File Format: PDF/Adobe Acrobat - Quick View
We will associate with a famous puzzle known as Hanoi Tower Game on ... interest to geometric group theory are tied together: the end structure of semi- ...
86. ### Mathematics of the Rubik's cube :: FreeTechBooks.com

1 post - 1 author - Last post: 28 Mar 2007
These notes cover enough group theory and graph theory to understand the ...description of the Rubik's cube and several other related puzzles.
87. ### (9780801890123) Adventures in Group Theory: Rubik's Cube, Merlin's ...

Joyner uses permutation puzzles such as the Rubik's Cube and its variants ... View other David Joyner titles like "Adventures in Group Theory: Rubik's Cube, ...
88. ### Oval Track and Other Permutation Puzzles: And Just Enough Group Theory

webspace.webring.com/people/cr/rubix/rubix.../0883857251.html
Oval Track and Other Permutation Puzzles: And Just Enough Group Theory to Solve Them (Classroom Resource Materials). Oval Track and Other Permutation ...
89. ### Group Theory | Good Math, Bad Math

scientopia.org/blogs/goodmath/category/good-math/group-theory/
7 Feb 2008 – claim that group theory defines symmetry, that's not really entirely true. My favorite example of this is the fifteen puzzle. fifteen.png ...
90. ### MATH, PUZZLES AND COMPUTERS

Some of the topics and puzzles we will discuss are: Nim and related games; Blet (involving group theory); fiver (involving linear algebra over a field of two ...
91. ### Adventures in Group Theory, David Joyner - Shop ... - Fishpond.co.nz

www.fishpond.co.nz/Books/...Group-Theory.../9780801890130?cf=...
1 Oct 2008 – "Adventures in Group Theory is a tour through the algebra of several 'permutation puzzles'... If you like puzzles, this is a somewhat fun ...
92. ### Browse: Keyword: Group Theory | OER Commons

... explore the mathematical strategies behind popular games, toys, and puzzles. ...Systematic presentation of the chemical applications of group theory. ...
93. [PDF]

### Department of Mathematics

File Format: PDF/Adobe Acrobat - Quick View
triangle, a cross, etc.) that enables the devising of a variety of puzzles on the same board. More information about peg solitaire and group theory can be found at ...
94. ### Game Theory - Mind Your Decisions

mindyourdecisions.com/blog/category/game-theory/
Auction theory puzzle: finding the right number of bidders .... day I got an email from Jimmy who noticed game theory in action while at a group exercise class. ...
95. ### Hotfile.com Adventures in Group Theory: Rubik's Cube, Merlin's ...

1 post - Last post: 15 Oct 2010
Adventures in Group Theory is a tour through the algebra of several 'permutationpuzzles'... If you like puzzles, this is a somewhat fun ...
96. ### Large implicit state space enumeration: Overcoming memory and ...

by E Robinson - 2008 - Cited by 2 - Related articles
With this software implementation, applications in fields such as computational group theory, puzzle search, and implicit state model checking are considered. ...
97. [PDF]

### Group theory in SAGE

www.wdjoyner.org/papers/groups-sage4.pdf
File Format: PDF/Adobe Acrobat - Quick View
by D Joyner - Related articles
In rough design, group theory in SAGE is implemented in an object- ...... The Rubik's cube5 is a puzzle with 9 × 6 = 56 facets, but only 48 of them move. ...
98. ### Adventures in Group Theory - David Joyner » Norli bokhandel

Adventures in Group Theory. Rubik's Cube, Merlin's Machine, and Other Mathematical Toys ... Joyner uses permutation puzzles such as the Rubik's Cube and its ...