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Home > Catalogue > Knots and Borromean Rings, Rep-Tiles, and Eight Queens
Knots and Borromean Rings, Rep-Tiles, and Eight Queens


  • 137 b/w illus.
  • Page extent: 288 pages
  • Size: 216 x 138 mm
  • Weight: 0.35 kg
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 (ISBN-13: 9780521758710)

  • Also available in Hardback
  • Published October 2014

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 (Stock level updated: 09:07 GMT, 03 October 2015)


The hangman's paradox, cat's cradle, gambling, peg solitaire, pi and e - all these and more are back in Martin Gardner's inimitable style, with updates on new developments and discoveries. Read about how knots and molecules are related; take a trip into the fourth dimension; try out new dissections of stars, crosses and polygons; and challenge yourself with new twists on classic games.

• Contains extensive updated material by Gardner not found in any other editions of these books, plus new bibliographies • The first complete collection of Martin Gardner's Mathematical Library which encompasses the entire twenty-five-year run of his Scientific American columns


1. The paradox of the unexpected hanging; 2. Knots and Borromean rings; 3. The transcendental number e; 4. Geometric dissections; 5. Scarne on gambling; 6. The church of the fourth dimension; 7. Eight problems; 8. A matchbox game-learning machine; 9. Spirals; 10. Rotations and reflections; 11. Peg solitaire; 12. Flatlands; 13. Chicago magic convention; 14. Tests of divisibility; 15. Nine problems; 16. The eight queens and other chessboard diversions; 17. A loop of string; 18. Curves of constant width; 19. Rep-tiles: replicating figures in the plane; 20. Thirty-seven catch questions.


'Martin Gardner's fifteen volumes about mathematical games are the Canon – timeless classics that are always worth reading and rereading.' Don Knuth

'Gardner is a model teacher of mathematics, pushing others to take interesting side explorations, solve challenging problems, and enjoy the beauty of mathematics. This reviewer applauds the republication of his genius in 'The New Martin Gardner Mathematical Library' series, complete with revised explanations, new insights, up-to-date reference links, and brief surveys of recent discoveries … it is worth getting the new editions and sharing these new gems!' J. Johnson, Choice

'I recommend you approach this book on a Sunday afternoon, with paper and pen, a few biscuits for brain-power and a good hour to spare for puzzling. It is worth it.' Charlotte Mulcare, + plus Magazine

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