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the G A M E S and
P U Z Z L E S
J O U R N A L
The On-line Journal for Mathematical Recreations
© 2001 – 2006 G. P. Jelliss and contributing authors
Offshoots: Games
2006
Issue 45
...		 Issue 44: Covering Surfaces by Polyominoes
A study by Jacques Haubrich. Brief History. Three Fundamental Problems. Rectangular Solids to Cover (10 to 60 unit squares). Other Surfaces.		 Issue 43: Knight's Tours in 3 Dimensions
A study by Awani Kumar. Tours in cuboids of 24, 32, 36 cells, And in cubes of 64, 216 and 512 cells. Including magic properties.
2005
Issue 42: Magic Tours & Forms
Magic Knight's Tours 12 by 12. Magic and Latin Squares. Magic Octahedron & Cuboctahedron. Magic Space Compass. Dozenal Sudoku and Kakuro.		 Issue 41: Diamond Solitaire
A study by George Bell. Introduction; General Boards with Super-Sweeps; Rhombus(6); Maximal Sweeps on Rhombus(6i); Conclusions.		 Issue 40: Chesspiece Arrays
Part 5 The Eight Officers
(1) Introduction, (2) Unguard Arrangements, (3) Coverings, (4) Packings, (5) Other Problems.
Issue 39: Chesspiece Arrays
Part 4 Multiple Unguard Arrangements
(1) Introduction, (2) Two Types, (3) Three Types, (4) Four or Five Types, (5) Other Multiple Arrangements.		 Issue 38: Chesspiece Arrays
Part 3 Coverings
(1) Introduction, (2) Leapers, (3) Riders, (4) Compound Riders, (5) Other Pieces.		 Issue 37: Chesspiece Arrays
Part 2 Unguards with Riders
(1) Introduction, (2) Riders, (3) Compound Riders, (4) Composite Riders, (5) Hoppers.
2004
Issue 36: Triangular Peg Solitaire Unlimited A study by George Bell. Introduction; Maximal Sweeps on Odd / Even Triangular Boards; Long Sweeps on Arbitrarily Large Boards; Short Solutions. Issue 35: Squaring the Square
A study by T. H. Willcocks. On a more general case of this problem including a pair of equal squares, or two such pairs.		 Issue 34: Chesspiece Arrays ,
Part 1 Unguards with Leapers
(1) Introduction. (2) Free-leapers. (3) Half-free leapers. (4) Bound leapers. (5) Compound leapers.
Issue 33: Rectangle-Square Dissections A study by Chris Tylor. Introduction; Continua of general solutions. Families of orthogonal solutions. Irregular solutions. Conclusion. Issue 32: Magic Tours 12*12 reentrant, 4-fold cyclic, one diagonal magic. A study by Awani Kumar. Introduction. Even Diagonal. Even and Broken Diagonals. Odd Diagonal. Some Open Tours. Issue 31: Solutions
(56) Cents and Sensitivity. (57), (58) Bishop Paths. (59) Mao and Moa. (60) Corridors of Power. (61) Pythagorean Dissections. (62) 3-colour Tetrahedron. (63) Holey Cube. (64) Shaped Boards. (65) Plantations.
2003
Issue 30: Puzzles
(56) Cents and Sensitivity. (57), (58) Bishop Paths. (59) Mao and Moa. (60) Corridors of Power. (61) Pythagorean Dissections. (62) 3-colour Tetrahedron. (63) Holey Cube. (64) Shaped Boards. (65) Plantations.		 Issue 29: Circling Squares
(51) Introduction and Problems.
(52) Circles Centred at Grid Points.
(53) Circles at Half-Fraction Grid Points.
(54) Higher Fractions and Larger Boards.
(55) Circles Among the Lattice Points.		 Issue 28: Solitaire
(46) Introduction and historical update.
(47) The 6×6 board: work of John Harris.
(48) Solutions on 33- and 37-hole boards.
(49) Generalized cross and long-arm boards.
(50) Five new problems for solution.
Issue 27: Arithmetic
(41) In the Footsteps of Eratosthenes.
(42) Prime Number Arrangements.
(43) Positional Numeration.
(44) Altairian Arithmetic.
(45) Automorphic Cubes.		 Issue 26: Magic Tours
(36) In Search of 12x12 Magic Square Tours.
(37) Four Perfect Magic Tours 12x12.
(38) A New Type of Magic Tour.
(39) Emperor Magic Tours.
(40) Quasi-Magic Tours.		 Issue 25: Magic Tours
(31) Semimagic 10×10 Quaternary Tour.
(32) A New 8×8 Magic Knight Tour.
(33) Another New 8×8 Magic Knight Tour.
(34) Methods of Search for Magic Tours.
(35) Existence Proofs. — Obituaries
2002
Issue 24
(26) Raja of Mysore's Tour and Related.
(27) New 'Almost Perfect' Magic Tours.
(28) Two Tours Nearest to 'Perfection'.
(29) A Tour by Murray and Related Tours.
(30) Enumeration of Magic Tours.		 Issue 23
(21) Equidirectional Knight's Tour.
(22) Thirteenth Month and Zodiac Sign.
(23) Space Compass for Constellations.
(24) Bode's Law Revisited.
(25) Ratios and Continued Fractions.		 Issue 22
(16) A Self-Referential Sentence.
(17) Triangle Trisections.
(18) Hexagonal Dissections.
(19) Polycubes.
(20) Magic Tours on Special Boards.
2001
Issue 21
(11) A Knight's Tour Font.
(12) Celtic Tours.
(13) 3×n Celtic Tours.
(14) Five-fold Intersected Moves.
(15) Knight's Tour Mosaics.		 Issue 20
(6) Longest Shortest Leaper Paths.
(7) Nightrider Tours: no Knight Moves.
(8) The Tree of Life and Factors of Sixty.
(9) Trapezoidal Tours.
(10) Reciprocating Fractions.		 Issue 19
(1) Magic squares using alternating moves.
(2) History of alternating tours.
(3) Doubled alternating tours.
(4) Tripled alternating tours.
(5) Figured tours: Primes guarded by queen.

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