Problem 0: A Swiss Puzzle

  x x x x x x x x
  x x x x x x x x
  x x . . . . x x
  x x x x x x x x
  x x x x x x x x

  x x x x x x x
  x x x . x x x
  x x . . . x x
  x x x . x x x
  x x x x x x x

Solution - Sam Loyd, Cyclopedia of Puzzles, 1914
(a) the signal flag: p14, 340
(b) the Swiss flag: p14, 341
- M. Gardner, Mathematical Puzzles of Sam Loyd II, Problem 144

Problem 1:

  x x x x x x x x x x
  x x x x x x x x x x
  x x x x x x x x x x
  x x . . . . . . x x
  x x x x x x x x x x
  x x x x x x x x x x
  x x x x x x x x x x

Solution - Henry Ernest Dudeney, Puzzles and Curious Problems, Londom 1931, Problem 215 - The damaged rug p64-65, 159-160
- Harry Langman, Play Mathematics, 1962, Chap. 8: Geometric Dissections, problem 12
- Boris A. Kordemsky, The Moscow Puzzles, 1972, problem 160 - a cherihed reward
- Martin Gardner, The Last Recreations, New York 1997, p262-264 (and checkered)

Problem 2:

  . x x x x x x x x x x x x x x
  x x x x x x x x x x x x x x x
  x x x x x x x x x x x x x x x
  x x x x x x x . x x x x x x x
  x x x x x x x . x x x x x x x
  x x x x x x x . x x x x x x x
  x x x x x x x x x x x x x x x
  x x x x x x x x x x x x x x x
  x x x x x x x x x x x x x x .

Solution - CFF 27, Contest 10 (2 solutions)
- Harry Langman, Play Mathematics, 1962, Chap. 8: Geometric Dissections, problem 13

Problem 3:

  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x . x x x x . x
  . . x . . x . .

  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x . x x x x x .
  . . x . . . x .

Solution - KBAHT (1995) p65 (Russian Math. Newspaper)
one solution (the trivial) news swapping one piece, the other one does not.
- Harry Lindgren, Recreational Problems in Geometric Dissections and How to Solve Them, Revised and enlarged by Greg Frederickson, Dover Publ. 1972
Fig. 1.18, 14.10 (a problem of Dudeney)
- Henry Ernest Dudeney, Puzzles and Curious Problems, Londom 1931, Problem 195 - improvised chessboard p58, 154

Problem 4: make a 6x10 rectangle

  x x x x x x x x x
  x . x x x x x x x
  x x x x x x x x x
  x x x x . x x x x
  x x x x x x x x x
  x x x x x x x . x
  x x x x x x x x x

  x x x x x x x x x
  x x x x x x x x x
  x x x x x x x x x
  x x x . . . x x x
  x x x x x x x x x
  x x x x x x x x x
  x x x x x x x x x

  x x x x x x x x x
  x x x x x x x x x
  x x x x . x x x x
  x x x x . x x x x
  x x x x . x x x x
  x x x x x x x x x
  x x x x x x x x x

Solution - Martin Gardner, New Mathematical Diversions from Scientific American, Simon and Schuster (1966),
Sect 19.3: Two Pentomino Posers

Problem 5:

  x x x x x x x x x x x x
  x x x . x x x x x x x x
  x x x x x x x x x x x x
  x x x x x . . x x x x x
  x x x x x . . x x x x x
  x x x x x x x x x x x x
  x x x x x x x x . x x x
  x x x x x x x x x x x x

Solution - Sam Loyd, Cyclopedia of Puzzles, 1914

• Puzzle land: p283
  
• the Chinease Puzzle: p271, 376 (has an extra twist)
  

Problem 6:

  x x x x x x x x
  x x . . x x x x
  x x x x x x x x
  x x x x . . x x
  x x x x x x x x

Solution - Naralie van Eijk, Mausverbiss, Preisrätsel, Spektrum der Wissenschaft Jan. 2000, p102

Problem 7:

  . x x x x x
  . x x x x x
  . x x x x .
  x x x x x .
  x x x x x .

  . x x x x x
  x x x x x x
  x x x x x .

  . x x x x x x x
  x x x x x x x x
  x x x x x x x x
  x x x x x x x .

Solution - Harry Langman, Play Mathematics, 1962, Chap. 8: Geometric Dissections, problems 7, 9, 10