Notes on Rubik's 'Magic Cube'

by David Singmaster

Paperback, 1981

Status

Available

Call number

793.7

Library's review

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
Show More
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 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.
Absolut at anbefale
Show Less

Publication

Penguin (1981)

Language

Original language

English

Original publication date

1979

Physical description

72 p.; 21 cm

ISBN

0140061495 / 9780140061499

Local notes

Omslag: David Singmaster
Omslaget viser terningen med lidt pile på til at indikere drejemulighederne
Indskannet omslag - N650U - 150 dpi
Side ii: Finally, I would like to dedicate this to my wife Deborah, who correctly recognised the cube as an enemy on first sight two years ago and who has wisely refused to touch it, but who has nonetheless gallantly proofread the text.
Notes on Rubiks Magic Cube

Pages

72

Library's rating

Rating

½ (3 ratings; 3.7)

DDC/MDS

793.7
Page: 0.2837 seconds