Notes on Rubik's 'Magic Cube'

Indeholder "Introduction to the fifth edition", "Contents", "1. Introduction (to the first printed edition)", "2. Generalities", " Disassembly", "3. Notation", "4. Some group theory", "5. Some explorations", " A. The slice group", " B. The slice-squared group", " C. Two squares group", " D. The antislice group", " E. The two generator group", " F. Some simple processes", "6. The Basic Mathematical Problem", "7. Further problems", " A. The supergroup", " B. The three generator groups", " C. The four generator groups", " D. The five generator group", " E. The square group", " F. The maximal order problem", " G. The commutator subgroup", " H. Pretty patterns", " I. Super problems", "8. Some answers and comments", " The slice group", " The show more slice-squared group;", " Two squares group", " The antislice group", " The two generator group", " The supergroup", "9. Supplement on the Basic Mathematical Problem", " A. Improved edge processes", " B. Monoflips and monotwists", " C. Some further improved corner processes", " D. An improved algorithm", " E. Problem 19", "10. Some results on further problems", " A. Orders of subgroups", " B. The five generator group", " C. The maximal order problem", " D. The commutator subgroup", " E. Pretty patterns", " F. More magic polyhedra", "Addenda (to the first edition)", "Addenda (to the second edition)", "Addenda (to the third edition)", " The slice group", " Some problems", "Addenda (to the fourth edition)", " Minimum number of moves", " The Magic Domino", "Addenda to the fifth edition", " 5.1 Lubrication", " 5.2 Distribution of the cube", " 5.3 Independent invention", " 5.4 General anecdotes", " 5.5 Competitions and shortest times", " 5.6 Problem 19 - Maximum number of moves to restore the cube", " A. Thistlethwaite's algorithm", " B. Other algorithms", " 5.7. New notation and diagrams", " A. U notation", " 5.8. A small catalogue of processes", " A. U edgeprocesses", " i. Two 2-cycles", " ii. One 3-cycle", " iii. Flips", " B. U corner processes", " i. Two 2-cycles", " ii. One 3-cycle", " iii. Twists", " C. Some other U processes", " D. Some non-U processes", " E. Edge(s) into middle slice processes", " F. Supergroup processes", " G. Comments on useful new partial processes", "5.9. Pretty patterns", " A. Symmetries of the cube and the centres group", " B. The simpler pretty patterns", " C. More complex pretty patterns", "5.10. Theoretical developments and problems", " A. The U group", " B. Generation of the whole group", " C. Presentations", " D. Orders of elements", " E. The two-dimensional problem", " F. Cayley graphs and antipodes", " G. The square group - 2 x 2 x 2 case", " H. The antislice group", " I. The square group - 3 x 3 x 3 case", " J. The two generator group", " K. The group ", " L. Conjugation and cycle structure", " M. Wreath products", " N. The 2 x 2 x 2 cube", "5.11. Miscellany", "Bibliography", "Index", "A step-by-step solution to Rubik's 'Magic Cube'".

En total guldgrube af viden om Rubiks terning. Samtidig et indblik i matematikere der samarbejder om at beskrive og løse interessante problemer. Absolut topkarakter. Har lidt med om dominoen - 2 x 3 x 3. Indeholder også et væld af smukke mønstre, bruger en kompakt og effektiv notation og slutter med en meget lang litteraturliste. Her er nemt stof til måneder på en øde ø.
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