Adventures in group theory : Rubik's cube, Merlin's machine, and other mathematical toys

Adventures in group theory : Rubik's cube, Merlin's machine, and other mathematical toys / David Joyner.

"David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. Joyner employs permutation puzzles such as the 15 puzzle, the Rainbow Masterball, the Pyraminx, the Skewb, the Megaminx, Merlin's Machine, and variants of the Rubik's Cube...

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Bibliographic Details
Main Author: Joyner, David, 1959-
Format: eBook
Language:English
Published: Baltimore : Johns Hopkins University Press, 2008.
Edition:2nd ed., Updated and rev. ed.
Subjects:
Group theory.
Mathematical recreations.
MATHEMATICS > Group Theory.
Group theory
Mathematical recreations
Unterhaltungsmathematik.
Algebra > Gruppe (Math.)
Gruppe > (Math.) > Algebra.
Puzzles and games.
Online Access:Click for online access
Table of Contents:
  • Elementary, my dear Watson
  • 'And you do addition?'
  • Bell ringing and other permutations
  • A procession of permutation puzzles
  • What's commutative and purple?
  • Welcome to the machine
  • 'God's algorithm' and graphs
  • Symmetry and the Platonic solids
  • The illegal cube group
  • Words which move
  • The (legal) Rubik's cube group
  • Squares, two-faces, and other subgroups
  • Other Rubik-like puzzle groups
  • Crossing the Rubicon
  • Some solution strategies
  • Coda: Questions and other directions.

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