An edition of Notes on Rubik's Magic Cube
(1980)
Notes on Rubik's Magic Cube
Fifth Edition
by David Singmaster
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This is a solution book to the Rubik's Cube, there are diagrams and, mathematical equations.
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Subjects
Group theory, Mathematical recreations, Models, Polyhedra, Rubik's Cube, Rubik's Cube. Group theory, Rubik's Cube. Rubik's Cube, Puzzle, Solutions, Mathematics, Mechanics, Magic cube, RubiksCube, Games, Toys, Toy, Puzzles, Combination Puzzle, Erno Rubik, Algorithms, Permutations, Speedcubing, Cubing, Speed Cubing, Mathematical Equations, Cube| Edition | Availability |
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Notes on Rubik's Magic Cube
1980, Mathematical Sciences and Computing Polytechnic
Paperback
in English
- Fifth Edition
0140061495 9780140061499
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Book Details
Table of Contents
Introduction to the fifth edition. i
Contents. iii
1. Introduction (to the first printed edition). 1
2. Generalities. 1
Disassembly. 2
3. Notation. 3
4. Some group theory. 4
5. Some explorations. 10
A. The slice group. 10
B. The slice-squared group. 11
C. Two squares group. 11
D. The antislice group. 11
E. The two generator group. 12
F. Some simple processes. 12
6. The Basic Mathematical Problem. 12
7. Further problems. 18
A. The supergroup. 18
B. The three generator groups. 18
C. The four generator groups. 18
D. The five generator group. 18
E. The square group. 18
F. The maximal order problem. 18
G. The commutator subgroup. 18
H. Pretty patterns. 18
I. Super problems. 18
8. Some answers and comments. 18
The slice group. 20
Slice-squared group. 20
The slice group. 20
The squares group. 20
The antislice group. 20
The two generator group. 21
The supergroup. 22
9. Supplement on the Basic Mathematical Problem. 22
A. Improved edge processes. 22
B. Monoflips and monotwists. 23
C. Some further improved corner processes. 24
D. An improved algorithm. 24
E. Problem 19. 26
10. Some results on further problems. 26
A. Orders of subgroups. 26
B. The five generator group. 26
C. The maximal order problem. 27
D. The commutator subgroup. 27
E. Pretty patterns. 28
F. More magic polyhedra. 28
Addenda (to the first edition). 29
Addenda to the second edition. 30
Addenda to the third edition. 31
The slice group. 31
Some problems. 33
Addenda to the Fourth Edition. 34
Minimum number of moves. 34
The Magic Domino. 34
Addenda to the Fifth Edition. 36
5.1. Lubrication. 37
5.2. Distribution of the cube. 37
5.3. Independent invention. 37
5.4. General anecdotes. 38
5.5. Competitions and shortest times. 38
5.6. Problem 19 - Maximum number of moves to restore the cube. 39
A. Thistlethwaite's algorithm. 39
B. Other algorithms. 39
5.7. New notation and diagrams. 40
A. U notation. 41
5.8. A small catalogue of processes. 43
A. U edge processes. 43
i. Two 2-cycles. 43
ii. One 3-cycle. 43
iii. Flips. 44
B. U corner processes. 44
i. Two 2-cycles. 44
ii. One 3-cycle. 44
iii. Twists. 44
C. Some other U processes. 44
D. Some non-U processes. 45
E. Edge(s) into middle slice processes. 45
F. Supergroup processes. 45
G. Comments on useful new partial processes. 46
5.9. Pretty patterns. 46
A. Symmetries of the cube and the centres group. 46
B. The simpler pretty patterns. 47
C. More complex pretty patterns. 48
5.10. Theoretical developments and problems. 49
A. The U group. 49
B. Generation of the whole group. 49
C. Presentations. 50
D. Orders of elements. 50
E. The two-dimensional problem. 51
F. Cayley graphs and antipodes. 52
G. The square group - 2 x 2 x 2 case. 53
H. The antislice group. 54
I. The square group - 3 x 3 x 3 case. 54
J. The two generator group. 55
K. The group <F,B2>. 57
L. Conjugation and cycle structure. 57
M. Wreath products. 58
N. The 2 x 2 x 2 cube. 60
5.11. Miscellany 60 Bibliography. Bl-B2
Index. I1-I5
A step by step solution of Rubik's 'Magic Cube'. S1-S4
Edition Notes
Previous ed., London , D. Singmaster, 1980?.
Bibliography, pB1-2. - Includes index.
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- Created September 16, 2008
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| January 19, 2024 | Edited by MARC Bot | uppercase bwbsku local_id |
| December 5, 2022 | Edited by ImportBot | import existing book |
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| March 12, 2018 | Edited by "Teary Eyes" Anderson | desc, size, cont |
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